---
_id: '2991'
abstract:
- lang: eng
text: Polar auxin transport controls multiple aspects of plant development including
differential growth, embryo and root patterning and vascular tissue differentiation.
Identification of proteins involved in this process and availability of new tools
enabling `visualization' of auxin and auxin routes in planta largely contributed
to the significant progress that has recently been made. New data support classical
concepts, but several recent findings are likely to challenge our view on the
mechanism of auxin transport. The aim of this review is to provide a comprehensive
overview of the polar auxin transport field. It starts with classical models resulting
from physiological studies, describes the genetic contributions and discusses
the molecular basis of auxin influx and efflux. Finally, selected questions are
presented in the context of developmental biology, integrating available data
from different fields.
author:
- first_name: Jirí
full_name: Friml, Jirí
id: 4159519E-F248-11E8-B48F-1D18A9856A87
last_name: Friml
orcid: 0000-0002-8302-7596
- first_name: Klaus
full_name: Palme, Klaus
last_name: Palme
citation:
ama: Friml J, Palme K. Polar auxin transport - Old questions and new concepts? Plant
Molecular Biology. 2002;49(3-4):273-284. doi:10.1023/A:1015248926412
apa: Friml, J., & Palme, K. (2002). Polar auxin transport - Old questions and
new concepts? Plant Molecular Biology. Springer. https://doi.org/10.1023/A:1015248926412
chicago: Friml, Jiří, and Klaus Palme. “Polar Auxin Transport - Old Questions and
New Concepts?” Plant Molecular Biology. Springer, 2002. https://doi.org/10.1023/A:1015248926412.
ieee: J. Friml and K. Palme, “Polar auxin transport - Old questions and new concepts?,”
Plant Molecular Biology, vol. 49, no. 3–4. Springer, pp. 273–284, 2002.
ista: Friml J, Palme K. 2002. Polar auxin transport - Old questions and new concepts?
Plant Molecular Biology. 49(3–4), 273–284.
mla: Friml, Jiří, and Klaus Palme. “Polar Auxin Transport - Old Questions and New
Concepts?” Plant Molecular Biology, vol. 49, no. 3–4, Springer, 2002, pp.
273–84, doi:10.1023/A:1015248926412.
short: J. Friml, K. Palme, Plant Molecular Biology 49 (2002) 273–284.
date_created: 2018-12-11T12:00:44Z
date_published: 2002-06-01T00:00:00Z
date_updated: 2021-01-12T07:40:17Z
day: '01'
doi: 10.1023/A:1015248926412
extern: '1'
intvolume: ' 49'
issue: 3-4
language:
- iso: eng
month: '06'
oa_version: None
page: 273 - 284
publication: Plant Molecular Biology
publication_status: published
publisher: Springer
publist_id: '3712'
quality_controlled: '1'
status: public
title: Polar auxin transport - Old questions and new concepts?
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 49
year: '2002'
...
---
_id: '3140'
abstract:
- lang: eng
text: The maturation of synaptic structures depends on inductive interactions between
axons and their prospective targets. One example of such an interaction is the
influence of proprioceptive sensory axons on the differentiation of muscle spindles.
We have monitored the expression of three transcription factors, Egr3, Pea3, and
Erm, that delineate early muscle spindle development in an assay of muscle spindle-inducing
signals. We provide genetic evidence that Neuregulin1 (Nrg1) is required for proprioceptive
afferent-evoked induction of muscle spindle differentiation in the mouse. Ig-Nrg1
isoforms are preferentially expressed by proprioceptive sensory neurons and are
sufficient to induce muscle spindle differentiation in vivo, whereas CRD-Nrg1
isoforms are broadly expressed in sensory and motor neurons but are not required
for muscle spindle induction.
acknowledgement: We thank L. Role for generously providing the CRD-Nrg1 mutant allele
for these studies, L. Parada and D. Anderson for sharing the TrkC and Ngn1 mouse
strains, W. Tourtellotte for providing Egr3 mutant mice, E. Avetisova for expert
technical assistance, X. Yang for experimental help in the initial phase of these
studies, A. Garratt for advice with ErbB antibodies, and L. Role and G. Fischbach
for helpful discussions. The CRD-Nrg1 mutant allele was generated in the lab of
Dr. Lorna Role, with the support of NIH grant NS29071. S.A. and S.H. were supported
by a grant from the Swiss National Science Foundation and the Kanton of Basel-Stadt.
S.J.B. was supported by grants from the NINDS. N.A.S. was supported by a Howard
Hughes Medical Institute Postdoctoral Fellowship for Physicians and a Career Development
Award from the NINDS. T.M.J. was supported by grants from NINDS and is an Investigator
of the Howard Hughes Medical Institute.
article_processing_charge: No
article_type: original
author:
- first_name: Simon
full_name: Hippenmeyer, Simon
id: 37B36620-F248-11E8-B48F-1D18A9856A87
last_name: Hippenmeyer
orcid: 0000-0003-2279-1061
- first_name: Neil
full_name: Shneider, Neil
last_name: Shneider
- first_name: Carmen
full_name: Birchmeier, Carmen
last_name: Birchmeier
- first_name: Steven
full_name: Burden, Steven
last_name: Burden
- first_name: Thomas
full_name: Jessell, Thomas
last_name: Jessell
- first_name: Silvia
full_name: Arber, Silvia
last_name: Arber
citation:
ama: Hippenmeyer S, Shneider N, Birchmeier C, Burden S, Jessell T, Arber S. A role
for Neuregulin1 signaling in muscle spindle differentiation. Neuron. 2002;36(6):1035-1049.
doi:10.1016/S0896-6273(02)01101-7
apa: Hippenmeyer, S., Shneider, N., Birchmeier, C., Burden, S., Jessell, T., &
Arber, S. (2002). A role for Neuregulin1 signaling in muscle spindle differentiation.
Neuron. Elsevier. https://doi.org/10.1016/S0896-6273(02)01101-7
chicago: Hippenmeyer, Simon, Neil Shneider, Carmen Birchmeier, Steven Burden, Thomas
Jessell, and Silvia Arber. “A Role for Neuregulin1 Signaling in Muscle Spindle
Differentiation.” Neuron. Elsevier, 2002. https://doi.org/10.1016/S0896-6273(02)01101-7.
ieee: S. Hippenmeyer, N. Shneider, C. Birchmeier, S. Burden, T. Jessell, and S.
Arber, “A role for Neuregulin1 signaling in muscle spindle differentiation,” Neuron,
vol. 36, no. 6. Elsevier, pp. 1035–1049, 2002.
ista: Hippenmeyer S, Shneider N, Birchmeier C, Burden S, Jessell T, Arber S. 2002.
A role for Neuregulin1 signaling in muscle spindle differentiation. Neuron. 36(6),
1035–1049.
mla: Hippenmeyer, Simon, et al. “A Role for Neuregulin1 Signaling in Muscle Spindle
Differentiation.” Neuron, vol. 36, no. 6, Elsevier, 2002, pp. 1035–49,
doi:10.1016/S0896-6273(02)01101-7.
short: S. Hippenmeyer, N. Shneider, C. Birchmeier, S. Burden, T. Jessell, S. Arber,
Neuron 36 (2002) 1035–1049.
date_created: 2018-12-11T12:01:37Z
date_published: 2002-12-19T00:00:00Z
date_updated: 2023-07-17T11:46:43Z
day: '19'
doi: 10.1016/S0896-6273(02)01101-7
extern: '1'
external_id:
pmid:
- '12495620'
intvolume: ' 36'
issue: '6'
language:
- iso: eng
month: '12'
oa_version: None
page: 1035 - 1049
pmid: 1
publication: Neuron
publication_identifier:
issn:
- 0896-6273
publication_status: published
publisher: Elsevier
publist_id: '3558'
quality_controlled: '1'
scopus_import: '1'
status: public
title: A role for Neuregulin1 signaling in muscle spindle differentiation
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 36
year: '2002'
...
---
_id: '11123'
abstract:
- lang: eng
text: The small GTPase Ran is a key regulator of nucleocytoplasmic transport during
interphase. The asymmetric distribution of the GTP-bound form of Ran across the
nuclear envelope — that is, large quantities in the nucleus compared with small
quantities in the cytoplasm — determines the directionality of many nuclear transport
processes. Recent findings that Ran also functions in spindle formation and nuclear
envelope assembly during mitosis suggest that Ran has a general role in chromatin-centred
processes. Ran functions in these events as a signal for chromosome position.
article_processing_charge: No
article_type: original
author:
- first_name: Martin W
full_name: HETZER, Martin W
id: 86c0d31b-b4eb-11ec-ac5a-eae7b2e135ed
last_name: HETZER
orcid: 0000-0002-2111-992X
- first_name: Oliver J.
full_name: Gruss, Oliver J.
last_name: Gruss
- first_name: Iain W.
full_name: Mattaj, Iain W.
last_name: Mattaj
citation:
ama: Hetzer M, Gruss OJ, Mattaj IW. The Ran GTPase as a marker of chromosome position
in spindle formation and nuclear envelope assembly. Nature Cell Biology.
2002;4(7):E177-E184. doi:10.1038/ncb0702-e177
apa: Hetzer, M., Gruss, O. J., & Mattaj, I. W. (2002). The Ran GTPase as a marker
of chromosome position in spindle formation and nuclear envelope assembly. Nature
Cell Biology. Springer Nature. https://doi.org/10.1038/ncb0702-e177
chicago: Hetzer, Martin, Oliver J. Gruss, and Iain W. Mattaj. “The Ran GTPase as
a Marker of Chromosome Position in Spindle Formation and Nuclear Envelope Assembly.”
Nature Cell Biology. Springer Nature, 2002. https://doi.org/10.1038/ncb0702-e177.
ieee: M. Hetzer, O. J. Gruss, and I. W. Mattaj, “The Ran GTPase as a marker of chromosome
position in spindle formation and nuclear envelope assembly,” Nature Cell Biology,
vol. 4, no. 7. Springer Nature, pp. E177–E184, 2002.
ista: Hetzer M, Gruss OJ, Mattaj IW. 2002. The Ran GTPase as a marker of chromosome
position in spindle formation and nuclear envelope assembly. Nature Cell Biology.
4(7), E177–E184.
mla: Hetzer, Martin, et al. “The Ran GTPase as a Marker of Chromosome Position in
Spindle Formation and Nuclear Envelope Assembly.” Nature Cell Biology,
vol. 4, no. 7, Springer Nature, 2002, pp. E177–84, doi:10.1038/ncb0702-e177.
short: M. Hetzer, O.J. Gruss, I.W. Mattaj, Nature Cell Biology 4 (2002) E177–E184.
date_created: 2022-04-07T07:57:19Z
date_published: 2002-07-01T00:00:00Z
date_updated: 2022-07-18T08:58:03Z
day: '01'
doi: 10.1038/ncb0702-e177
extern: '1'
external_id:
pmid:
- '12105431'
intvolume: ' 4'
issue: '7'
keyword:
- Cell Biology
language:
- iso: eng
month: '07'
oa_version: None
page: E177-E184
pmid: 1
publication: Nature Cell Biology
publication_identifier:
eissn:
- 1476-4679
issn:
- 1465-7392
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: The Ran GTPase as a marker of chromosome position in spindle formation and
nuclear envelope assembly
type: journal_article
user_id: 72615eeb-f1f3-11ec-aa25-d4573ddc34fd
volume: 4
year: '2002'
...
---
_id: '11124'
abstract:
- lang: eng
text: Ran GTPase plays important roles in nucleocytoplasmic transport in interphase
[1, 2] and in both spindle formation and nuclear envelope (NE) assembly during
mitosis [3, 4, 5]. The latter functions rely on the presence of high local concentrations
of GTP-bound Ran near mitotic chromatin [3, 4, 5]. RanGTP localization has been
proposed to result from the association of Ran's GDP/GTP exchange factor, RCC1,
with chromatin [6, 7, 8, 9], but Ran is shown here to bind directly to chromatin
in two modes, either dependent or independent of RCC1, and, where bound, to increase
the affinity of chromatin for NE membranes. We propose that the Ran binding capacity
of chromatin contributes to localized spindle and NE assembly.
article_processing_charge: No
article_type: letter_note
author:
- first_name: Daniel
full_name: Bilbao-Cortés, Daniel
last_name: Bilbao-Cortés
- first_name: Martin W
full_name: HETZER, Martin W
id: 86c0d31b-b4eb-11ec-ac5a-eae7b2e135ed
last_name: HETZER
orcid: 0000-0002-2111-992X
- first_name: Gernot
full_name: Längst, Gernot
last_name: Längst
- first_name: Peter B.
full_name: Becker, Peter B.
last_name: Becker
- first_name: Iain W.
full_name: Mattaj, Iain W.
last_name: Mattaj
citation:
ama: Bilbao-Cortés D, Hetzer M, Längst G, Becker PB, Mattaj IW. Ran binds to chromatin
by two distinct mechanisms. Current Biology. 2002;12(13):1151-1156. doi:10.1016/s0960-9822(02)00927-2
apa: Bilbao-Cortés, D., Hetzer, M., Längst, G., Becker, P. B., & Mattaj, I.
W. (2002). Ran binds to chromatin by two distinct mechanisms. Current Biology.
Elsevier BV. https://doi.org/10.1016/s0960-9822(02)00927-2
chicago: Bilbao-Cortés, Daniel, Martin Hetzer, Gernot Längst, Peter B. Becker, and
Iain W. Mattaj. “Ran Binds to Chromatin by Two Distinct Mechanisms.” Current
Biology. Elsevier BV, 2002. https://doi.org/10.1016/s0960-9822(02)00927-2.
ieee: D. Bilbao-Cortés, M. Hetzer, G. Längst, P. B. Becker, and I. W. Mattaj, “Ran
binds to chromatin by two distinct mechanisms,” Current Biology, vol. 12,
no. 13. Elsevier BV, pp. 1151–1156, 2002.
ista: Bilbao-Cortés D, Hetzer M, Längst G, Becker PB, Mattaj IW. 2002. Ran binds
to chromatin by two distinct mechanisms. Current Biology. 12(13), 1151–1156.
mla: Bilbao-Cortés, Daniel, et al. “Ran Binds to Chromatin by Two Distinct Mechanisms.”
Current Biology, vol. 12, no. 13, Elsevier BV, 2002, pp. 1151–56, doi:10.1016/s0960-9822(02)00927-2.
short: D. Bilbao-Cortés, M. Hetzer, G. Längst, P.B. Becker, I.W. Mattaj, Current
Biology 12 (2002) 1151–1156.
date_created: 2022-04-07T07:57:31Z
date_published: 2002-07-09T00:00:00Z
date_updated: 2022-07-18T08:58:05Z
day: '09'
doi: 10.1016/s0960-9822(02)00927-2
extern: '1'
external_id:
pmid:
- '12121625'
intvolume: ' 12'
issue: '13'
keyword:
- General Agricultural and Biological Sciences
- General Biochemistry
- Genetics and Molecular Biology
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1016/S0960-9822(02)00927-2
month: '07'
oa: 1
oa_version: Published Version
page: 1151-1156
pmid: 1
publication: Current Biology
publication_identifier:
issn:
- 0960-9822
publication_status: published
publisher: Elsevier BV
quality_controlled: '1'
scopus_import: '1'
status: public
title: Ran binds to chromatin by two distinct mechanisms
type: journal_article
user_id: 72615eeb-f1f3-11ec-aa25-d4573ddc34fd
volume: 12
year: '2002'
...
---
_id: '859'
abstract:
- lang: eng
text: The polymeric ubiquitin (poly-u) genes are composed of tandem 228-bp repeats
with no spacer sequences between individual monomer units. Ubiquitin is one of
the most conserved proteins known to date, and the individual units within a number
of poly-u genes are significantly more similar to each other than would be expected
if each unit evolved independently. It has been proposed that the rather striking
similarity among poly-u monomers in some lineages is caused by a series of homogenization
events. Here we report the sequences of the polyubiquitin-C (Ubc) genes in two
mouse strains. Analysis of these sequences, as well as those of the previously
reported Chinese hamster and rat poly-u genes, supports the assertion that the
homogenization of the ubiquitin-C gene in rodents is due to unequal crossing-over
events. The sequence divergence of noncoding DNA was used to estimate the frequency
of unequal crossing-over events (6.3 x 10-5 events per generation) in the Ubc
gene, as well as to provide evidence of apparent selection in the poly-u gene.
acknowledgement: We are thankful to J.A. Southerland and P.L. Jiang for technical
assistance in DNA sequencing, as well as to Y.I. Pavlov for helpful discussions.
This work was supported by public Health Service Research Grant AI45135 from the
Institute of Allergy and Infectious Diseases, National Institutes of Health.
article_processing_charge: No
article_type: original
author:
- first_name: Andrey
full_name: Perelygin, Andrey
last_name: Perelygin
- first_name: Fyodor
full_name: Kondrashov, Fyodor
id: 44FDEF62-F248-11E8-B48F-1D18A9856A87
last_name: Kondrashov
orcid: 0000-0001-8243-4694
- first_name: Igor
full_name: Rogozin, Igor
last_name: Rogozin
- first_name: Margo
full_name: Brinton, Margo
last_name: Brinton
citation:
ama: Perelygin A, Kondrashov F, Rogozin I, Brinton M. Evolution of the mouse polyubiquitin
C gene. Journal of Molecular Evolution. 2002;55(2):202-210. doi:10.1007/s00239-002-2318-0
apa: Perelygin, A., Kondrashov, F., Rogozin, I., & Brinton, M. (2002). Evolution
of the mouse polyubiquitin C gene. Journal of Molecular Evolution. Springer.
https://doi.org/10.1007/s00239-002-2318-0
chicago: Perelygin, Andrey, Fyodor Kondrashov, Igor Rogozin, and Margo Brinton.
“Evolution of the Mouse Polyubiquitin C Gene.” Journal of Molecular Evolution.
Springer, 2002. https://doi.org/10.1007/s00239-002-2318-0.
ieee: A. Perelygin, F. Kondrashov, I. Rogozin, and M. Brinton, “Evolution of the
mouse polyubiquitin C gene,” Journal of Molecular Evolution, vol. 55, no.
2. Springer, pp. 202–210, 2002.
ista: Perelygin A, Kondrashov F, Rogozin I, Brinton M. 2002. Evolution of the mouse
polyubiquitin C gene. Journal of Molecular Evolution. 55(2), 202–210.
mla: Perelygin, Andrey, et al. “Evolution of the Mouse Polyubiquitin C Gene.” Journal
of Molecular Evolution, vol. 55, no. 2, Springer, 2002, pp. 202–10, doi:10.1007/s00239-002-2318-0.
short: A. Perelygin, F. Kondrashov, I. Rogozin, M. Brinton, Journal of Molecular
Evolution 55 (2002) 202–210.
date_created: 2018-12-11T11:48:53Z
date_published: 2002-01-01T00:00:00Z
date_updated: 2023-07-26T12:01:34Z
day: '01'
doi: 10.1007/s00239-002-2318-0
extern: '1'
external_id:
pmid:
- '12107596'
intvolume: ' 55'
issue: '2'
language:
- iso: eng
month: '01'
oa_version: None
page: 202 - 210
pmid: 1
publication: Journal of Molecular Evolution
publication_identifier:
issn:
- 0022-2844
publication_status: published
publisher: Springer
publist_id: '6787'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Evolution of the mouse polyubiquitin C gene
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 55
year: '2002'
...
---
_id: '871'
abstract:
- lang: eng
text: 'BACKGROUND: Gene duplications have a major role in the evolution of new biological
functions. Theoretical studies often assume that a duplication per se is selectively
neutral and that, following a duplication, one of the gene copies is freed from
purifying (stabilizing) selection, which creates the potential for evolution of
a new function. RESULTS: In search of systematic evidence of accelerated evolution
after duplication, we used data from 26 bacterial, six archaeal, and seven eukaryotic
genomes to compare the mode and strength of selection acting on recently duplicated
genes (paralogs) and on similarly diverged, unduplicated orthologous genes in
different species. We find that the ratio of nonsynonymous to synonymous substitutions
(Kn/Ks) in most paralogous pairs is <<1 and that paralogs typically evolve
at similar rates, without significant asymmetry, indicating that both paralogs
produced by a duplication are subject to purifying selection. This selection is,
however, substantially weaker than the purifying selection affecting unduplicated
orthologs that have diverged to the same extent as the analyzed paralogs. Most
of the recently duplicated genes appear to be involved in various forms of environmental
response; in particular, many of them encode membrane and secreted proteins. CONCLUSIONS:
The results of this analysis indicate that recently duplicated paralogs evolve
faster than orthologs with the same level of divergence and similar functions,
but apparently do not experience a phase of neutral evolution. We hypothesize
that gene duplications that persist in an evolving lineage are beneficial from
the time of their origin, due primarily to a protein dosage effect in response
to variable environmental conditions; duplications are likely to give rise to
new functions at a later phase of their evolution once a higher level of divergence
is reached.'
acknowledgement: We are grateful to A.S. Kondrashov for numerous helpful suggestions,
to I. King Jordan, M.A. Roytberg, J.L. Spouge and D.A. Kondrashov for useful discussions
and to A.S. Kondrashov, I. King Jordan and D.J. Lipman for critical reading of the
manuscript.
article_processing_charge: No
article_type: original
author:
- first_name: Fyodor
full_name: Kondrashov, Fyodor
id: 44FDEF62-F248-11E8-B48F-1D18A9856A87
last_name: Kondrashov
orcid: 0000-0001-8243-4694
- first_name: Igor
full_name: Rogozin, Igor
last_name: Rogozin
- first_name: Yuri
full_name: Wolf, Yuri
last_name: Wolf
- first_name: Eugene
full_name: Koonin, Eugene
last_name: Koonin
citation:
ama: Kondrashov F, Rogozin I, Wolf Y, Koonin E. Selection in the evolution of gene
duplications . Genome Biology. 2002;3(2). doi:10.1186/gb-2002-3-2-research0008
apa: Kondrashov, F., Rogozin, I., Wolf, Y., & Koonin, E. (2002). Selection in
the evolution of gene duplications . Genome Biology. BioMed Central. https://doi.org/10.1186/gb-2002-3-2-research0008
chicago: Kondrashov, Fyodor, Igor Rogozin, Yuri Wolf, and Eugene Koonin. “Selection
in the Evolution of Gene Duplications .” Genome Biology. BioMed Central,
2002. https://doi.org/10.1186/gb-2002-3-2-research0008.
ieee: F. Kondrashov, I. Rogozin, Y. Wolf, and E. Koonin, “Selection in the evolution
of gene duplications ,” Genome Biology, vol. 3, no. 2. BioMed Central,
2002.
ista: Kondrashov F, Rogozin I, Wolf Y, Koonin E. 2002. Selection in the evolution
of gene duplications . Genome Biology. 3(2).
mla: Kondrashov, Fyodor, et al. “Selection in the Evolution of Gene Duplications
.” Genome Biology, vol. 3, no. 2, BioMed Central, 2002, doi:10.1186/gb-2002-3-2-research0008.
short: F. Kondrashov, I. Rogozin, Y. Wolf, E. Koonin, Genome Biology 3 (2002).
date_created: 2018-12-11T11:48:57Z
date_published: 2002-01-01T00:00:00Z
date_updated: 2023-07-26T11:48:27Z
day: '01'
doi: 10.1186/gb-2002-3-2-research0008
extern: '1'
external_id:
pmid:
- '11864370'
intvolume: ' 3'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC65685/
month: '01'
oa: 1
oa_version: Published Version
pmid: 1
publication: Genome Biology
publication_identifier:
issn:
- 1465-6906
publication_status: published
publisher: BioMed Central
publist_id: '6781'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Selection in the evolution of gene duplications '
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 3
year: '2002'
...
---
_id: '885'
abstract:
- lang: eng
text: We study fitness landscape in the space of protein sequences by relating sets
of human pathogenic missense mutations in 32 proteins to amino acid substitutions
that occurred in the course of evolution of these proteins. On average, ≈10% of
deviations of a nonhuman protein from its human ortholog are compensated pathogenic
deviations (CPDs), i.e., are caused by an amino acid substitution that, at this
site, would be pathogenic to humans. Normal functioning of a CPD-containing protein
must be caused by other, compensatory deviations of the nonhuman species from
humans. Together, a CPD and the corresponding compensatory deviation form a Dobzhansky-Muller
incompatibility that can be visualized as the corner on a fitness ridge. Thus,
proteins evolve along fitness ridges which contain only ≈10 steps between sucessive
corners. The fraction of CPDs among all deviations of a protein from its human
ortholog does not increase with the evolutionary distance between the proteins,
indicating that subtitutions that carry evolving proteins around these corners
occur in rapid succession, driven by positive selection. Data on fitness of interspecies
hybrids suggest that the compensatory change that makes a CPD fit usually occurs
within the same protein. Data on protein structures and on cooccurrence of amino
acids at different sites of multiple orthologous proteins often make it possible
to provisionally identify the substitution that compensates a partiCUlar CPD.
article_processing_charge: No
article_type: original
author:
- first_name: Alexey
full_name: Kondrashov, Alexey
last_name: Kondrashov
- first_name: Shamil
full_name: Sunyaev, Shamil
last_name: Sunyaev
- first_name: Fyodor
full_name: Kondrashov, Fyodor
id: 44FDEF62-F248-11E8-B48F-1D18A9856A87
last_name: Kondrashov
orcid: 0000-0001-8243-4694
citation:
ama: Kondrashov A, Sunyaev S, Kondrashov F. Dobzhansky-Muller incompatibilities
in protein evolution. PNAS. 2002;99(23):14878-14883. doi:10.1073/pnas.232565499
apa: Kondrashov, A., Sunyaev, S., & Kondrashov, F. (2002). Dobzhansky-Muller
incompatibilities in protein evolution. PNAS. National Academy of Sciences.
https://doi.org/10.1073/pnas.232565499
chicago: Kondrashov, Alexey, Shamil Sunyaev, and Fyodor Kondrashov. “Dobzhansky-Muller
Incompatibilities in Protein Evolution.” PNAS. National Academy of Sciences,
2002. https://doi.org/10.1073/pnas.232565499.
ieee: A. Kondrashov, S. Sunyaev, and F. Kondrashov, “Dobzhansky-Muller incompatibilities
in protein evolution,” PNAS, vol. 99, no. 23. National Academy of Sciences,
pp. 14878–14883, 2002.
ista: Kondrashov A, Sunyaev S, Kondrashov F. 2002. Dobzhansky-Muller incompatibilities
in protein evolution. PNAS. 99(23), 14878–14883.
mla: Kondrashov, Alexey, et al. “Dobzhansky-Muller Incompatibilities in Protein
Evolution.” PNAS, vol. 99, no. 23, National Academy of Sciences, 2002,
pp. 14878–83, doi:10.1073/pnas.232565499.
short: A. Kondrashov, S. Sunyaev, F. Kondrashov, PNAS 99 (2002) 14878–14883.
date_created: 2018-12-11T11:49:01Z
date_published: 2002-11-12T00:00:00Z
date_updated: 2023-07-26T09:48:37Z
day: '12'
doi: 10.1073/pnas.232565499
extern: '1'
external_id:
pmid:
- '12403824'
intvolume: ' 99'
issue: '23'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC137512/
month: '11'
oa: 1
oa_version: Published Version
page: 14878 - 14883
pmid: 1
publication: PNAS
publication_identifier:
issn:
- 0027-8424
publication_status: published
publisher: National Academy of Sciences
publist_id: '6763'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Dobzhansky-Muller incompatibilities in protein evolution
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 99
year: '2002'
...
---
_id: '897'
abstract:
- lang: eng
text: "Transcription is a slow and expensive process: in eukaryotes, approximately
20 nucleotides can be transcribed per second at the expense of at least two ATP
molecules per nucleotide. Thus, at least for highly expressed genes, transcription
of long introns, which are particularly common in mammals, is costly. Using data
on the expression of genes that encode proteins in Caenorhabditis elegans and
Homo sapiens, we show that introns in highly expressed genes are substantially
shorter than those in genes that are expressed at low levels. This difference
is greater in humans, such that introns are, on average, 14 times shorter in highly
expressed genes than in genes with low expression, whereas in C. Elegans the difference
in intron length is only twofold. In contrast, the density of introns in a gene
does not strongly depend on the level of gene expression. Thus, natural selection
appears to favor short introns in highly expressed genes to minimize the cost
of transcription and other molecular processes, such as splicing.\r\n"
acknowledgement: We are grateful to A. Kondrashov, I. Rogozin and A. Feldman for reading
the manuscript and P. Bouman, J. Cherry, J. Blumensteil and T. Kim for discussion.
article_processing_charge: No
article_type: original
author:
- first_name: Cristian
full_name: Castillo Davis, Cristian
last_name: Castillo Davis
- first_name: Sergei
full_name: Mekhedov, Sergei
last_name: Mekhedov
- first_name: Daniel
full_name: Hartl, Daniel
last_name: Hartl
- first_name: Eugene
full_name: Koonin, Eugene
last_name: Koonin
- first_name: Fyodor
full_name: Kondrashov, Fyodor
id: 44FDEF62-F248-11E8-B48F-1D18A9856A87
last_name: Kondrashov
orcid: 0000-0001-8243-4694
citation:
ama: Castillo Davis C, Mekhedov S, Hartl D, Koonin E, Kondrashov F. Selection for
short introns in highly expressed genes. Nature Genetics. 2002;31(4):415-418.
doi:10.1038/ng940
apa: Castillo Davis, C., Mekhedov, S., Hartl, D., Koonin, E., & Kondrashov,
F. (2002). Selection for short introns in highly expressed genes. Nature Genetics.
Nature Publishing Group. https://doi.org/10.1038/ng940
chicago: Castillo Davis, Cristian, Sergei Mekhedov, Daniel Hartl, Eugene Koonin,
and Fyodor Kondrashov. “Selection for Short Introns in Highly Expressed Genes.”
Nature Genetics. Nature Publishing Group, 2002. https://doi.org/10.1038/ng940.
ieee: C. Castillo Davis, S. Mekhedov, D. Hartl, E. Koonin, and F. Kondrashov, “Selection
for short introns in highly expressed genes,” Nature Genetics, vol. 31,
no. 4. Nature Publishing Group, pp. 415–418, 2002.
ista: Castillo Davis C, Mekhedov S, Hartl D, Koonin E, Kondrashov F. 2002. Selection
for short introns in highly expressed genes. Nature Genetics. 31(4), 415–418.
mla: Castillo Davis, Cristian, et al. “Selection for Short Introns in Highly Expressed
Genes.” Nature Genetics, vol. 31, no. 4, Nature Publishing Group, 2002,
pp. 415–18, doi:10.1038/ng940.
short: C. Castillo Davis, S. Mekhedov, D. Hartl, E. Koonin, F. Kondrashov, Nature
Genetics 31 (2002) 415–418.
date_created: 2018-12-11T11:49:05Z
date_published: 2002-08-01T00:00:00Z
date_updated: 2023-07-26T09:45:30Z
day: '01'
doi: 10.1038/ng940
extern: '1'
external_id:
pmid:
- '12134150'
intvolume: ' 31'
issue: '4'
language:
- iso: eng
month: '08'
oa_version: None
page: 415 - 418
pmid: 1
publication: Nature Genetics
publication_status: published
publisher: Nature Publishing Group
publist_id: '6751'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Selection for short introns in highly expressed genes
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 31
year: '2002'
...
---
_id: '1737'
abstract:
- lang: eng
text: A new solvent-free composite polymer electrolyte consisting of high-molecular
mass polyethylene oxide (PEO) filled with titanium oxide and containing LiI and
I2 was developed. The introduction of the inorganic filler (TiO2 Degussa P25)
into the polymer matrix produces dramatic morphological changes to the host polymer
structure. Upon addition of the inorganic oxide, the surface roughness increases,
with respect to the original polymer and in parallel, the fractal dimension decreases.
Both the thermograms and the atomic force microscope (AFM) pictures confirm the
amorphicity of the composite electrolyte. The polymer sub-units are held together
in a parallel orientation, forming straight long chains of about 500 nm in width,
along which TiO2 spherical particles of about 20-25 nm in diameter are distributed.
The polymer chains separated by the titania particles are arranged in a three-dimensional,
mechanically stable network, that creates free space and voids into which the
iodide/triodide anions can easily migrate. All solid-state dye-sensitized solar
cells fabricated using this composite electrolyte present high efficiencies (typical
maximum incident photon to current efficiency (IPCE) as high as 40% at 520 nm
and overall conversion efficiency (η) of 0.96% (Voc = 0.67 V, Jsc = 2.050 mA/cm2,
FF = 39%) under direct solar irradiation. Further improvement of the photovoltaic
performance is expected by optimization of the electrolyte parameters and of the
cell assembly.
acknowledgement: Financial support from NCSR “Demokritos” (Dimoerevna 598 project),
Empeirikeion Foundation and General Secretariat for Research and Technology of Greece
(EPET II, Greece–France and Greece–Czech Republic bilateral collaboration projects)
is also greatly acknowledged. G. Katsaros thanks the Greek State Scholarships Foundation
(IKY) for fellowship allowance
article_processing_charge: No
author:
- first_name: Georgios
full_name: Katsaros, Georgios
id: 38DB5788-F248-11E8-B48F-1D18A9856A87
last_name: Katsaros
- first_name: Thomas
full_name: Stergiopoulos, Thomas
last_name: Stergiopoulos
- first_name: Iannis
full_name: Arabatzis, Iannis
last_name: Arabatzis
- first_name: Kyriaki
full_name: Papadokostaki, Kyriaki
last_name: Papadokostaki
- first_name: Polycarpos
full_name: Falaras, Polycarpos
last_name: Falaras
citation:
ama: 'Katsaros G, Stergiopoulos T, Arabatzis I, Papadokostaki K, Falaras P. A solvent-free
composite polymer/inorganic oxide electrolyte for high efficiency solid-state
dye-sensitized solar cells. Journal of Photochemistry and Photobiology A: Chemistry.
2002;149(1-3):191-198. doi:10.1016/S1010-6030(02)00027-8'
apa: 'Katsaros, G., Stergiopoulos, T., Arabatzis, I., Papadokostaki, K., & Falaras,
P. (2002). A solvent-free composite polymer/inorganic oxide electrolyte for high
efficiency solid-state dye-sensitized solar cells. Journal of Photochemistry
and Photobiology A: Chemistry. Elsevier. https://doi.org/10.1016/S1010-6030(02)00027-8'
chicago: 'Katsaros, Georgios, Thomas Stergiopoulos, Iannis Arabatzis, Kyriaki Papadokostaki,
and Polycarpos Falaras. “A Solvent-Free Composite Polymer/Inorganic Oxide Electrolyte
for High Efficiency Solid-State Dye-Sensitized Solar Cells.” Journal of Photochemistry
and Photobiology A: Chemistry. Elsevier, 2002. https://doi.org/10.1016/S1010-6030(02)00027-8.'
ieee: 'G. Katsaros, T. Stergiopoulos, I. Arabatzis, K. Papadokostaki, and P. Falaras,
“A solvent-free composite polymer/inorganic oxide electrolyte for high efficiency
solid-state dye-sensitized solar cells,” Journal of Photochemistry and Photobiology
A: Chemistry, vol. 149, no. 1–3. Elsevier, pp. 191–198, 2002.'
ista: 'Katsaros G, Stergiopoulos T, Arabatzis I, Papadokostaki K, Falaras P. 2002.
A solvent-free composite polymer/inorganic oxide electrolyte for high efficiency
solid-state dye-sensitized solar cells. Journal of Photochemistry and Photobiology
A: Chemistry. 149(1–3), 191–198.'
mla: 'Katsaros, Georgios, et al. “A Solvent-Free Composite Polymer/Inorganic Oxide
Electrolyte for High Efficiency Solid-State Dye-Sensitized Solar Cells.” Journal
of Photochemistry and Photobiology A: Chemistry, vol. 149, no. 1–3, Elsevier,
2002, pp. 191–98, doi:10.1016/S1010-6030(02)00027-8.'
short: 'G. Katsaros, T. Stergiopoulos, I. Arabatzis, K. Papadokostaki, P. Falaras,
Journal of Photochemistry and Photobiology A: Chemistry 149 (2002) 191–198.'
date_created: 2018-12-11T11:53:44Z
date_published: 2002-06-28T00:00:00Z
date_updated: 2023-07-26T08:56:55Z
day: '28'
doi: 10.1016/S1010-6030(02)00027-8
extern: '1'
intvolume: ' 149'
issue: 1-3
language:
- iso: eng
month: '06'
oa_version: None
page: 191 - 198
publication: 'Journal of Photochemistry and Photobiology A: Chemistry'
publication_identifier:
issn:
- 1010-6030
publication_status: published
publisher: Elsevier
publist_id: '5387'
status: public
title: A solvent-free composite polymer/inorganic oxide electrolyte for high efficiency
solid-state dye-sensitized solar cells
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 149
year: '2002'
...
---
_id: '1738'
abstract:
- lang: eng
text: New dyes of the type Ru(II)(bdmpp)(bpy) [where bdmpp is 2,6-bis(3,5-dimethyl-N-pyrazoyl)pyridine
and bpy is 2,2′-bipyridine-4,4′-dicarboxylic acid] are prepared and characterized
by infra-red (IR), mass (MS) and electrospray mass spectroscopy (ES-MS) as well
as 1H NMR (1D and 2D) spectroscopies. The compounds present broad and very high
intensity MLCT absorption bands in the visible and can be chemically anchored
on TiO2 films via ester-like linkage involving carboxylato groups. These complexes
have been tested with success as potential molecular antennas in dye-sensitized
solar cells. Both opaque and transparent nanocrystalline TiO2 thin film electrodes
obtained by a doctor blade technique sensitized by these complexes were incorporated
in a sandwich type regenerative photoelectrochemical solar cell containing 0.1M
LiI +0.01M I2 in propylene carbonate as well as a platinized conductive glass
counter electrode. The cell was characterized by Raman spectroscopy under anodic
and cathodic bias. Two new vibration bands were observed in the lower frequency
region. The first one at 112 cm-1 is due to tri-iodide formed on the photoactive
electrode, and the second one at 167 cm-1 is a sign of the dye/iodide interaction
and corresponds to a vibration in a chemically stable "DI" intermediate
species. Under direct sunlight illumination (solar irradiance of 60 mW/cm2) by
using a composite polymer solid state electrolyte, the cell ITO/TiO2/[Ru(II)(bdmpp)(bpy)(NCS)](PF6)/electrolyte/Pt-ITO
produced a continuous photocurrent as high as 4.29mA/cm2, and gave IPCE values
about half of the corresponding values obtained by the standard N3 dye under the
same conditions. The photovoltage is about 600 mV and the overall energy conversion
cell's efficiency is as high as 1.72%.
author:
- first_name: Polycarpos
full_name: Falaras, Polycarpos
last_name: Falaras
- first_name: Katerina
full_name: Chryssou, Katerina
last_name: Chryssou
- first_name: Thomas
full_name: Stergiopoulos, Thomas
last_name: Stergiopoulos
- first_name: Ioannis
full_name: Arabatzis, Ioannis M
last_name: Arabatzis
- first_name: Georgios
full_name: Georgios Katsaros
id: 38DB5788-F248-11E8-B48F-1D18A9856A87
last_name: Katsaros
- first_name: Vincent
full_name: Catalano, Vincent J
last_name: Catalano
- first_name: Raif
full_name: Kurtaran, Raif
last_name: Kurtaran
- first_name: Anne
full_name: Hugot-Le Goff, Anne
last_name: Hugot Le Goff
- first_name: Marie
full_name: Bernard, Marie C
last_name: Bernard
citation:
ama: 'Falaras P, Chryssou K, Stergiopoulos T, et al. Dye-sensitization of titanium
dioxide thin films by Ru(II)-bpp-bpy complexes. In: Vol 4801. SPIE; 2002:125-135.
doi:10.1117/12.452446'
apa: Falaras, P., Chryssou, K., Stergiopoulos, T., Arabatzis, I., Katsaros, G.,
Catalano, V., … Bernard, M. (2002). Dye-sensitization of titanium dioxide thin
films by Ru(II)-bpp-bpy complexes (Vol. 4801, pp. 125–135). Presented at the Organic
Photovoltaics, SPIE. https://doi.org/10.1117/12.452446
chicago: Falaras, Polycarpos, Katerina Chryssou, Thomas Stergiopoulos, Ioannis Arabatzis,
Georgios Katsaros, Vincent Catalano, Raif Kurtaran, Anne Hugot Le Goff, and Marie
Bernard. “Dye-Sensitization of Titanium Dioxide Thin Films by Ru(II)-Bpp-Bpy Complexes,”
4801:125–35. SPIE, 2002. https://doi.org/10.1117/12.452446.
ieee: P. Falaras et al., “Dye-sensitization of titanium dioxide thin films
by Ru(II)-bpp-bpy complexes,” presented at the Organic Photovoltaics, 2002, vol.
4801, pp. 125–135.
ista: Falaras P, Chryssou K, Stergiopoulos T, Arabatzis I, Katsaros G, Catalano
V, Kurtaran R, Hugot Le Goff A, Bernard M. 2002. Dye-sensitization of titanium
dioxide thin films by Ru(II)-bpp-bpy complexes. Organic Photovoltaics vol. 4801,
125–135.
mla: Falaras, Polycarpos, et al. Dye-Sensitization of Titanium Dioxide Thin Films
by Ru(II)-Bpp-Bpy Complexes. Vol. 4801, SPIE, 2002, pp. 125–35, doi:10.1117/12.452446.
short: P. Falaras, K. Chryssou, T. Stergiopoulos, I. Arabatzis, G. Katsaros, V.
Catalano, R. Kurtaran, A. Hugot Le Goff, M. Bernard, in:, SPIE, 2002, pp. 125–135.
conference:
name: Organic Photovoltaics
date_created: 2018-12-11T11:53:45Z
date_published: 2002-01-01T00:00:00Z
date_updated: 2021-01-12T06:52:53Z
day: '01'
doi: 10.1117/12.452446
extern: 1
intvolume: ' 4801'
month: '01'
page: 125 - 135
publication_status: published
publisher: SPIE
publist_id: '5385'
quality_controlled: 0
status: public
title: Dye-sensitization of titanium dioxide thin films by Ru(II)-bpp-bpy complexes
type: conference
volume: 4801
year: '2002'
...
---
_id: '1739'
abstract:
- lang: eng
text: Poly(ethylene oxide)/titania polymer electrolyte based photoelectrochemical
cells have been fabricated with Ru(dcbpy)2(NCS)2 complex as the sensitizer and
nanoporous TiO2 films as photoanodes. The introduction of the titania filler into
the poly(ethylene oxide) matrix reduces the crystallinity of the polymer and enhances
the mobility of the 1-/13 - redox couple, resulting in outstanding overall conversion
efficiency (4.2% under direct sunlight illumination) of the corresponding dye-sensitized
nanocrystalline TiO2 solar cell, one of the best efficiencies reported to date
for a solid-state device.
acknowledgement: 'Financial support from NCSR “Demokritos” and GSRT-Greece is greatly
acknowledged. '
author:
- first_name: Thomas
full_name: Stergiopoulos, Thomas
last_name: Stergiopoulos
- first_name: Iannis
full_name: Arabatzis, Iannis M
last_name: Arabatzis
- first_name: Georgios
full_name: Georgios Katsaros
id: 38DB5788-F248-11E8-B48F-1D18A9856A87
last_name: Katsaros
- first_name: Polycarpos
full_name: Falaras, Polycarpos
last_name: Falaras
citation:
ama: Stergiopoulos T, Arabatzis I, Katsaros G, Falaras P. Binary Polyethylene Oxide/Titania
Solid-State Redox Electrolyte for Highly Efficient Nanocrystalline TiO2 Photoelectrochemical
Cells. Nano Letters. 2002;2(11):1259-1261. doi:10.1021/nl025798u
apa: Stergiopoulos, T., Arabatzis, I., Katsaros, G., & Falaras, P. (2002). Binary
Polyethylene Oxide/Titania Solid-State Redox Electrolyte for Highly Efficient
Nanocrystalline TiO2 Photoelectrochemical Cells. Nano Letters. American
Chemical Society. https://doi.org/10.1021/nl025798u
chicago: Stergiopoulos, Thomas, Iannis Arabatzis, Georgios Katsaros, and Polycarpos
Falaras. “Binary Polyethylene Oxide/Titania Solid-State Redox Electrolyte for
Highly Efficient Nanocrystalline TiO2 Photoelectrochemical Cells.” Nano Letters.
American Chemical Society, 2002. https://doi.org/10.1021/nl025798u.
ieee: T. Stergiopoulos, I. Arabatzis, G. Katsaros, and P. Falaras, “Binary Polyethylene
Oxide/Titania Solid-State Redox Electrolyte for Highly Efficient Nanocrystalline
TiO2 Photoelectrochemical Cells,” Nano Letters, vol. 2, no. 11. American
Chemical Society, pp. 1259–1261, 2002.
ista: Stergiopoulos T, Arabatzis I, Katsaros G, Falaras P. 2002. Binary Polyethylene
Oxide/Titania Solid-State Redox Electrolyte for Highly Efficient Nanocrystalline
TiO2 Photoelectrochemical Cells. Nano Letters. 2(11), 1259–1261.
mla: Stergiopoulos, Thomas, et al. “Binary Polyethylene Oxide/Titania Solid-State
Redox Electrolyte for Highly Efficient Nanocrystalline TiO2 Photoelectrochemical
Cells.” Nano Letters, vol. 2, no. 11, American Chemical Society, 2002,
pp. 1259–61, doi:10.1021/nl025798u.
short: T. Stergiopoulos, I. Arabatzis, G. Katsaros, P. Falaras, Nano Letters 2 (2002)
1259–1261.
date_created: 2018-12-11T11:53:45Z
date_published: 2002-11-01T00:00:00Z
date_updated: 2021-01-12T06:52:53Z
day: '01'
doi: 10.1021/nl025798u
extern: 1
intvolume: ' 2'
issue: '11'
month: '11'
page: 1259 - 1261
publication: Nano Letters
publication_status: published
publisher: American Chemical Society
publist_id: '5386'
quality_controlled: 0
status: public
title: Binary Polyethylene Oxide/Titania Solid-State Redox Electrolyte for Highly
Efficient Nanocrystalline TiO2 Photoelectrochemical Cells
type: journal_article
volume: 2
year: '2002'
...
---
_id: '204'
abstract:
- lang: eng
text: Let k⩾5 be an integer, and let x⩾1 be an arbitrary real number. We derive
a bound[Formula presented] for the number of positive integers less than or equal
to x which can be represented as a sum of two non-negative coprime kth powers,
in essentially more than one way.
article_processing_charge: No
article_type: original
author:
- first_name: Timothy D
full_name: Browning, Timothy D
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
citation:
ama: Browning TD. Equal Sums of Two kth Powers. Journal of Number Theory.
2002;96(2):293-318. doi:10.1006/jnth.2002.2800
apa: Browning, T. D. (2002). Equal Sums of Two kth Powers. Journal of Number
Theory. Academic Press. https://doi.org/10.1006/jnth.2002.2800
chicago: Browning, Timothy D. “Equal Sums of Two Kth Powers.” Journal of Number
Theory. Academic Press, 2002. https://doi.org/10.1006/jnth.2002.2800.
ieee: T. D. Browning, “Equal Sums of Two kth Powers,” Journal of Number Theory,
vol. 96, no. 2. Academic Press, pp. 293–318, 2002.
ista: Browning TD. 2002. Equal Sums of Two kth Powers. Journal of Number Theory.
96(2), 293–318.
mla: Browning, Timothy D. “Equal Sums of Two Kth Powers.” Journal of Number Theory,
vol. 96, no. 2, Academic Press, 2002, pp. 293–318, doi:10.1006/jnth.2002.2800.
short: T.D. Browning, Journal of Number Theory 96 (2002) 293–318.
date_created: 2018-12-11T11:45:11Z
date_published: 2002-10-02T00:00:00Z
date_updated: 2023-07-26T12:15:14Z
day: '02'
doi: 10.1006/jnth.2002.2800
extern: '1'
intvolume: ' 96'
issue: '2'
language:
- iso: eng
month: '10'
oa_version: Published Version
page: 293 - 318
publication: Journal of Number Theory
publication_identifier:
issn:
- 0022-314X
publication_status: published
publisher: Academic Press
publist_id: '7708'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Equal Sums of Two kth Powers
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 96
year: '2002'
...
---
_id: '2338'
abstract:
- lang: eng
text: Now that the low temperature properties of quantum-mechanical many-body systems
(bosons) at low density, ρ, can be examined experimentally it is appropriate to
revisit some of the formulas deduced by many authors 4-5 decades ago. For systems
with repulsive (i.e. positive) interaction potentials the experimental low temperature
state and the ground state are effectively synonymous -- and this fact is used
in all modeling. In such cases, the leading term in the energy/particle is 2πℏ2aρ/m
where a is the scattering length of the two-body potential. Owing to the delicate
and peculiar nature of bosonic correlations (such as the strange N7/5 law for
charged bosons), four decades of research failed to establish this plausible formula
rigorously. The only previous lower bound for the energy was found by Dyson in
1957, but it was 14 times too small. The correct asymptotic formula has recently
been obtained by us and this work will be presented. The reason behind the mathematical
difficulties will be emphasized. A different formula, postulated as late as 1971
by Schick, holds in two-dimensions and this, too, will be shown to be correct.
With the aid of the methodology developed to prove the lower bound for the homogeneous
gas, two other problems have been successfully addressed. One is the proof by
us that the Gross-Pitaevskii equation correctly describes the ground state in
the `traps' actually used in the experiments. For this system it is also possible
to prove complete Bose condensation, as we have shown. Another topic is a proof
that Foldy's 1961 theory of a high density Bose gas of charged particles correctly
describes its ground state energy.
alternative_title:
- Current Developments in Mathematics
article_processing_charge: No
arxiv: 1
author:
- first_name: Élliott
full_name: Lieb, Élliott
last_name: Lieb
- first_name: Jan
full_name: Solovej, Jan
last_name: Solovej
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Jakob
full_name: Yngvason, Jakob
last_name: Yngvason
citation:
ama: 'Lieb É, Solovej J, Seiringer R, Yngvason J. The ground state of the Bose gas.
In: Current Developments in Mathematics, 2001. International Press; 2002:131-178.
doi:10.48550/arXiv.math-ph/0204027'
apa: Lieb, É., Solovej, J., Seiringer, R., & Yngvason, J. (2002). The ground
state of the Bose gas. In Current Developments in Mathematics, 2001 (pp.
131–178). International Press. https://doi.org/10.48550/arXiv.math-ph/0204027
chicago: Lieb, Élliott, Jan Solovej, Robert Seiringer, and Jakob Yngvason. “The
Ground State of the Bose Gas.” In Current Developments in Mathematics, 2001,
131–78. International Press, 2002. https://doi.org/10.48550/arXiv.math-ph/0204027.
ieee: É. Lieb, J. Solovej, R. Seiringer, and J. Yngvason, “The ground state of the
Bose gas,” in Current Developments in Mathematics, 2001, International
Press, 2002, pp. 131–178.
ista: 'Lieb É, Solovej J, Seiringer R, Yngvason J. 2002.The ground state of the
Bose gas. In: Current Developments in Mathematics, 2001. Current Developments
in Mathematics, , 131–178.'
mla: Lieb, Élliott, et al. “The Ground State of the Bose Gas.” Current Developments
in Mathematics, 2001, International Press, 2002, pp. 131–78, doi:10.48550/arXiv.math-ph/0204027.
short: É. Lieb, J. Solovej, R. Seiringer, J. Yngvason, in:, Current Developments
in Mathematics, 2001, International Press, 2002, pp. 131–178.
date_created: 2018-12-11T11:57:04Z
date_published: 2002-01-01T00:00:00Z
date_updated: 2023-07-26T08:43:46Z
day: '01'
doi: 10.48550/arXiv.math-ph/0204027
extern: '1'
external_id:
arxiv:
- math-ph/0204027
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/math-ph/0204027
month: '01'
oa: 1
oa_version: Published Version
page: 131 - 178
publication: Current Developments in Mathematics, 2001
publication_identifier:
isbn:
- '9781571461018'
publication_status: published
publisher: International Press
publist_id: '4588'
status: public
title: The ground state of the Bose gas
type: book_chapter
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
year: '2002'
...
---
_id: '2339'
alternative_title:
- Contemporary Mathematics
author:
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: 'Seiringer R. Symmetry breaking in a model of a rotating Bose gas. In: Weder
R, Exner P, Grébert B, eds. Vol 307. World Scientific Publishing; 2002:281-286.
doi:10.1090/conm/307'
apa: 'Seiringer, R. (2002). Symmetry breaking in a model of a rotating Bose gas.
In R. Weder, P. Exner, & B. Grébert (Eds.) (Vol. 307, pp. 281–286). Presented
at the QMath: Mathematical Results in Quantum Physics, World Scientific Publishing.
https://doi.org/10.1090/conm/307'
chicago: Seiringer, Robert. “Symmetry Breaking in a Model of a Rotating Bose Gas.”
edited by Richardo Weder, Pavel Exner, and Benoit Grébert, 307:281–86. World Scientific
Publishing, 2002. https://doi.org/10.1090/conm/307.
ieee: 'R. Seiringer, “Symmetry breaking in a model of a rotating Bose gas,” presented
at the QMath: Mathematical Results in Quantum Physics, 2002, vol. 307, pp. 281–286.'
ista: 'Seiringer R. 2002. Symmetry breaking in a model of a rotating Bose gas. QMath:
Mathematical Results in Quantum Physics, Contemporary Mathematics, vol. 307, 281–286.'
mla: Seiringer, Robert. Symmetry Breaking in a Model of a Rotating Bose Gas.
Edited by Richardo Weder et al., vol. 307, World Scientific Publishing, 2002,
pp. 281–86, doi:10.1090/conm/307.
short: R. Seiringer, in:, R. Weder, P. Exner, B. Grébert (Eds.), World Scientific
Publishing, 2002, pp. 281–286.
conference:
name: 'QMath: Mathematical Results in Quantum Physics'
date_created: 2018-12-11T11:57:05Z
date_published: 2002-01-01T00:00:00Z
date_updated: 2021-01-12T06:56:53Z
day: '01'
doi: 10.1090/conm/307
editor:
- first_name: Richardo
full_name: Weder, Richardo
last_name: Weder
- first_name: Pavel
full_name: Exner, Pavel
last_name: Exner
- first_name: Benoit
full_name: Grébert, Benoit
last_name: Grébert
extern: 1
intvolume: ' 307'
month: '01'
page: 281 - 286
publication_status: published
publisher: World Scientific Publishing
publist_id: '4587'
quality_controlled: 0
status: public
title: Symmetry breaking in a model of a rotating Bose gas
type: conference
volume: 307
year: '2002'
...
---
_id: '2349'
abstract:
- lang: eng
text: The Bose-Einstein condensation (BEC) of the ground state of bosonic atoms
in a trap was discussed. The BEC was proved for bosons with two-body repulsive
interaction potentials in the dilute limit, starting from the basic Schrodinger
equation. The BEC was 100% into the state which minimized the Gross-Pitaevskii
energy functional. The analysis also included rigorous proof of BEC in a physically
realistic, continuum model.
author:
- first_name: Élliott
full_name: Lieb, Élliott H
last_name: Lieb
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Lieb É, Seiringer R. Proof of Bose-Einstein condensation for dilute trapped
gases. Physical Review Letters. 2002;88(17):1704091-1704094. doi:10.1103/PhysRevLett.88.170409
apa: Lieb, É., & Seiringer, R. (2002). Proof of Bose-Einstein condensation for
dilute trapped gases. Physical Review Letters. American Physical Society.
https://doi.org/10.1103/PhysRevLett.88.170409
chicago: Lieb, Élliott, and Robert Seiringer. “Proof of Bose-Einstein Condensation
for Dilute Trapped Gases.” Physical Review Letters. American Physical Society,
2002. https://doi.org/10.1103/PhysRevLett.88.170409.
ieee: É. Lieb and R. Seiringer, “Proof of Bose-Einstein condensation for dilute
trapped gases,” Physical Review Letters, vol. 88, no. 17. American Physical
Society, pp. 1704091–1704094, 2002.
ista: Lieb É, Seiringer R. 2002. Proof of Bose-Einstein condensation for dilute
trapped gases. Physical Review Letters. 88(17), 1704091–1704094.
mla: Lieb, Élliott, and Robert Seiringer. “Proof of Bose-Einstein Condensation for
Dilute Trapped Gases.” Physical Review Letters, vol. 88, no. 17, American
Physical Society, 2002, pp. 1704091–94, doi:10.1103/PhysRevLett.88.170409.
short: É. Lieb, R. Seiringer, Physical Review Letters 88 (2002) 1704091–1704094.
date_created: 2018-12-11T11:57:08Z
date_published: 2002-04-29T00:00:00Z
date_updated: 2021-01-12T06:56:56Z
day: '29'
doi: 10.1103/PhysRevLett.88.170409
extern: 1
intvolume: ' 88'
issue: '17'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/math-ph/0112032
month: '04'
oa: 1
page: 1704091 - 1704094
publication: Physical Review Letters
publication_status: published
publisher: American Physical Society
publist_id: '4577'
quality_controlled: 0
status: public
title: Proof of Bose-Einstein condensation for dilute trapped gases
type: journal_article
volume: 88
year: '2002'
...
---
_id: '2350'
abstract:
- lang: eng
text: Using the Pauli-Fierz model of non-relativistic quantum electrodynamics, we
calculate the binding energy of an electron in the field of a nucleus of charge
Z and in presence of the quantized radiation field. We consider the case of small
coupling constant α, but fixed Zα and ultraviolet cut-off Λ. We prove that after
renormalizing the mass the binding energy has, to leading order in α, a finite
limit as Λ goes to infinity; i.e., the cut-off can be removed. The expression
for the ground state energy shift thus obtained agrees with Bethe's formula for
small values of Zα, but shows a different behavior for bigger values.
acknowledgement: "We are grateful to Elliott Lieb for helpful discussions. C.H. was
supported by a Marie Curie Fellowship of the European Community programme “Improving
Human Research Potential and the Socioeconomic Knowledge Base” under contract number
HPMFCT-2000-00660 and by the Deutsche Forschungsgemeinschaft, and acknowledges kind
hospitality at Princeton University, where part of this work was done. R.S. was
supported by the Austrian Science Fund in the form of an Erwin Schrödinger Fellowship.\r\n"
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Hainzl C, Seiringer R. Mass renormalization and energy level shift in non-relativistic
QED. Advances in Theoretical and Mathematical Physics. 2002;6(5):847-871.
doi:10.4310/ATMP.2002.v6.n5.a3
apa: Hainzl, C., & Seiringer, R. (2002). Mass renormalization and energy level
shift in non-relativistic QED. Advances in Theoretical and Mathematical Physics.
International Press. https://doi.org/10.4310/ATMP.2002.v6.n5.a3
chicago: Hainzl, Christian, and Robert Seiringer. “Mass Renormalization and Energy
Level Shift in Non-Relativistic QED.” Advances in Theoretical and Mathematical
Physics. International Press, 2002. https://doi.org/10.4310/ATMP.2002.v6.n5.a3.
ieee: C. Hainzl and R. Seiringer, “Mass renormalization and energy level shift in
non-relativistic QED,” Advances in Theoretical and Mathematical Physics,
vol. 6, no. 5. International Press, pp. 847–871, 2002.
ista: Hainzl C, Seiringer R. 2002. Mass renormalization and energy level shift in
non-relativistic QED. Advances in Theoretical and Mathematical Physics. 6(5),
847–871.
mla: Hainzl, Christian, and Robert Seiringer. “Mass Renormalization and Energy Level
Shift in Non-Relativistic QED.” Advances in Theoretical and Mathematical Physics,
vol. 6, no. 5, International Press, 2002, pp. 847–71, doi:10.4310/ATMP.2002.v6.n5.a3.
short: C. Hainzl, R. Seiringer, Advances in Theoretical and Mathematical Physics
6 (2002) 847–871.
date_created: 2018-12-11T11:57:09Z
date_published: 2002-09-01T00:00:00Z
date_updated: 2023-07-26T08:29:28Z
day: '01'
doi: 10.4310/ATMP.2002.v6.n5.a3
extern: '1'
external_id:
arxiv:
- math-ph/0205044v3
intvolume: ' 6'
issue: '5'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/math-ph/0205044
month: '09'
oa: 1
oa_version: Published Version
page: 847 - 871
publication: Advances in Theoretical and Mathematical Physics
publication_identifier:
issn:
- 1095-0761
publication_status: published
publisher: International Press
publist_id: '4574'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Mass renormalization and energy level shift in non-relativistic QED
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 6
year: '2002'
...
---
_id: '2351'
abstract:
- lang: eng
text: We study the Gross-Pitaevskii functional for a rotating two-dimensional Bose
gas in a trap. We prove that there is a breaking of the rotational symmetry in
the ground state; more precisely, for any value of the angular velocity and for
large enough values of the interaction strength, the ground state of the functional
is not an eigenfunction of the angular momentum. This has interesting consequences
on the Bose gas with spin; in particular, the ground state energy depends non-trivially
on the number of spin components, and the different components do not have the
same wave function. For the special case of a harmonic trap potential, we give
explicit upper and lower bounds on the critical coupling constant for symmetry
breaking.
author:
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Seiringer R. Gross-Pitaevskii theory of the rotating Bose gas. Communications
in Mathematical Physics. 2002;229(3):491-509. doi:10.1007/s00220-002-0695-2
apa: Seiringer, R. (2002). Gross-Pitaevskii theory of the rotating Bose gas. Communications
in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-002-0695-2
chicago: Seiringer, Robert. “Gross-Pitaevskii Theory of the Rotating Bose Gas.”
Communications in Mathematical Physics. Springer, 2002. https://doi.org/10.1007/s00220-002-0695-2.
ieee: R. Seiringer, “Gross-Pitaevskii theory of the rotating Bose gas,” Communications
in Mathematical Physics, vol. 229, no. 3. Springer, pp. 491–509, 2002.
ista: Seiringer R. 2002. Gross-Pitaevskii theory of the rotating Bose gas. Communications
in Mathematical Physics. 229(3), 491–509.
mla: Seiringer, Robert. “Gross-Pitaevskii Theory of the Rotating Bose Gas.” Communications
in Mathematical Physics, vol. 229, no. 3, Springer, 2002, pp. 491–509, doi:10.1007/s00220-002-0695-2.
short: R. Seiringer, Communications in Mathematical Physics 229 (2002) 491–509.
date_created: 2018-12-11T11:57:09Z
date_published: 2002-09-01T00:00:00Z
date_updated: 2021-01-12T06:56:57Z
day: '01'
doi: 10.1007/s00220-002-0695-2
extern: 1
intvolume: ' 229'
issue: '3'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/math-ph/0110010
month: '09'
oa: 1
page: 491 - 509
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4575'
quality_controlled: 0
status: public
title: Gross-Pitaevskii theory of the rotating Bose gas
type: journal_article
volume: 229
year: '2002'
...
---
_id: '2352'
abstract:
- lang: eng
text: We present a generalization of the Fefferman-de la Llave decomposition of
the Coulomb potential to quite arbitrary radial functions V on ℝn going to zero
at infinity. This generalized decomposition can be used to extend previous results
on N-body quantum systems with Coulomb interaction to a more general class of
interactions. As an example of such an application, we derive the high density
asymptotics of the ground state energy of jellium with Yukawa interaction in the
thermodynamic limit, using a correlation estimate by Graf and Solovej.
author:
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Hainzl C, Seiringer R. General decomposition of radial functions on ℝn and
applications to N-body quantum systems. Letters in Mathematical Physics.
2002;61(1):75-84. doi:10.1023/A:1020204818938
apa: Hainzl, C., & Seiringer, R. (2002). General decomposition of radial functions
on ℝn and applications to N-body quantum systems. Letters in Mathematical Physics.
Springer. https://doi.org/10.1023/A:1020204818938
chicago: Hainzl, Christian, and Robert Seiringer. “General Decomposition of Radial
Functions on ℝn and Applications to N-Body Quantum Systems.” Letters in Mathematical
Physics. Springer, 2002. https://doi.org/10.1023/A:1020204818938.
ieee: C. Hainzl and R. Seiringer, “General decomposition of radial functions on
ℝn and applications to N-body quantum systems,” Letters in Mathematical Physics,
vol. 61, no. 1. Springer, pp. 75–84, 2002.
ista: Hainzl C, Seiringer R. 2002. General decomposition of radial functions on
ℝn and applications to N-body quantum systems. Letters in Mathematical Physics.
61(1), 75–84.
mla: Hainzl, Christian, and Robert Seiringer. “General Decomposition of Radial Functions
on ℝn and Applications to N-Body Quantum Systems.” Letters in Mathematical
Physics, vol. 61, no. 1, Springer, 2002, pp. 75–84, doi:10.1023/A:1020204818938.
short: C. Hainzl, R. Seiringer, Letters in Mathematical Physics 61 (2002) 75–84.
date_created: 2018-12-11T11:57:09Z
date_published: 2002-07-01T00:00:00Z
date_updated: 2021-01-12T06:56:58Z
day: '01'
doi: 10.1023/A:1020204818938
extern: 1
intvolume: ' 61'
issue: '1'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/math-ph/0107011
month: '07'
oa: 1
page: 75 - 84
publication: Letters in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4576'
quality_controlled: 0
status: public
title: General decomposition of radial functions on ℝn and applications to N-body
quantum systems
type: journal_article
volume: 61
year: '2002'
...
---
_id: '2353'
abstract:
- lang: eng
text: A commonly used theoretical definition of superfluidity in the ground state
of a Bose gas is based on the response of the system to an imposed velocity field
or, equivalently, to twisted boundary conditions in a box. We are able to carry
out this program in the case of a dilute interacting Bose gas in a trap, and we
prove that a gas with repulsive interactions is 100% superfluid in the dilute
limit in which the Gross-Pitaevskii equation is exact. This is the first example
in an experimentally realistic continuum model in which superfluidity is rigorously
verified.
acknowledgement: E.H.L. was partially supported by the U.S. National Science Foundation,
Grant No. PHY 98-20650. R.S. was supported by the Austrian Science Fund in the from
of an Erwin Schrödinger fellowship.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Élliott
full_name: Lieb, Élliott
last_name: Lieb
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Jakob
full_name: Yngvason, Jakob
last_name: Yngvason
citation:
ama: Lieb É, Seiringer R, Yngvason J. Superfluidity in dilute trapped Bose gases.
Physical Review B - Condensed Matter and Materials Physics. 2002;66(13).
doi:10.1103/PhysRevB.66.134529
apa: Lieb, É., Seiringer, R., & Yngvason, J. (2002). Superfluidity in dilute
trapped Bose gases. Physical Review B - Condensed Matter and Materials Physics.
American Physical Society. https://doi.org/10.1103/PhysRevB.66.134529
chicago: Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Superfluidity in
Dilute Trapped Bose Gases.” Physical Review B - Condensed Matter and Materials
Physics. American Physical Society, 2002. https://doi.org/10.1103/PhysRevB.66.134529.
ieee: É. Lieb, R. Seiringer, and J. Yngvason, “Superfluidity in dilute trapped Bose
gases,” Physical Review B - Condensed Matter and Materials Physics, vol.
66, no. 13. American Physical Society, 2002.
ista: Lieb É, Seiringer R, Yngvason J. 2002. Superfluidity in dilute trapped Bose
gases. Physical Review B - Condensed Matter and Materials Physics. 66(13).
mla: Lieb, Élliott, et al. “Superfluidity in Dilute Trapped Bose Gases.” Physical
Review B - Condensed Matter and Materials Physics, vol. 66, no. 13, American
Physical Society, 2002, doi:10.1103/PhysRevB.66.134529.
short: É. Lieb, R. Seiringer, J. Yngvason, Physical Review B - Condensed Matter
and Materials Physics 66 (2002).
date_created: 2018-12-11T11:57:10Z
date_published: 2002-10-01T00:00:00Z
date_updated: 2023-07-25T12:05:47Z
day: '01'
doi: 10.1103/PhysRevB.66.134529
extern: '1'
external_id:
arxiv:
- cond-mat/0205570
intvolume: ' 66'
issue: '13'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/cond-mat/0205570
month: '10'
oa: 1
oa_version: None
publication: Physical Review B - Condensed Matter and Materials Physics
publication_identifier:
issn:
- 0163-1829
publication_status: published
publisher: American Physical Society
publist_id: '4573'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Superfluidity in dilute trapped Bose gases
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 66
year: '2002'
...
---
_id: '2420'
abstract:
- lang: eng
text: 'A corner cut in dimension d is a finite subset of N0d that can be separated
from its complement in N0d by an affine hyperplane disjoint from N0d. Corner cuts
were first investigated by Onn and Sturmfels [Adv. Appl. Math. 23 (1999) 29-48],
their original motivation stemmed from computational commutative algebra. Let
us write (Nd0k)cut for the set of corner cuts of cardinality k; in the computational
geometer''s terminology, these are the k-sets of N0d. Among other things, Onn
and Sturmfels give an upper bound of O(k2d(d-1)/(d+1)) for the size of (Nd0k)cut
when the dimension is fixed. In two dimensions, it is known (see [Corteel et al.,
Adv. Appl. Math. 23 (1) (1999) 49-53]) that #(Nd0k)cut = Θ(k log k). We will see
that in general, for any fixed dimension d, the order of magnitude of #(Nd0k)cut
is between kd-1 log k and (k log k)d-1. (It has been communicated to me that the
same bounds have been found independently by G. Rémond.) In fact, the elements
of (Nd0k)cut correspond to the vertices of a certain polytope, and what our proof
shows is that the above upper bound holds for the total number of flags of that
polytope.'
acknowledgement: "I first learned about corner cuts in a seminar talk in which Artur
Andrzejak\r\npresented the results from [6]. My work was initiated by that presentation
and\r\nby the discussions that followed it. I also thank Komei Fukuda, Ingo Schurr,
and\r\nEmo Welzl for helpful comments and discussions."
article_processing_charge: No
article_type: original
author:
- first_name: Uli
full_name: Wagner, Uli
id: 36690CA2-F248-11E8-B48F-1D18A9856A87
last_name: Wagner
orcid: 0000-0002-1494-0568
citation:
ama: Wagner U. On the number of corner cuts. Advances in Applied Mathematics.
2002;29(2):152-161. doi:10.1016/S0196-8858(02)00014-3
apa: Wagner, U. (2002). On the number of corner cuts. Advances in Applied Mathematics.
ACM. https://doi.org/10.1016/S0196-8858(02)00014-3
chicago: Wagner, Uli. “On the Number of Corner Cuts.” Advances in Applied Mathematics.
ACM, 2002. https://doi.org/10.1016/S0196-8858(02)00014-3.
ieee: U. Wagner, “On the number of corner cuts,” Advances in Applied Mathematics,
vol. 29, no. 2. ACM, pp. 152–161, 2002.
ista: Wagner U. 2002. On the number of corner cuts. Advances in Applied Mathematics.
29(2), 152–161.
mla: Wagner, Uli. “On the Number of Corner Cuts.” Advances in Applied Mathematics,
vol. 29, no. 2, ACM, 2002, pp. 152–61, doi:10.1016/S0196-8858(02)00014-3.
short: U. Wagner, Advances in Applied Mathematics 29 (2002) 152–161.
date_created: 2018-12-11T11:57:33Z
date_published: 2002-08-01T00:00:00Z
date_updated: 2023-07-25T11:55:42Z
day: '01'
doi: 10.1016/S0196-8858(02)00014-3
extern: '1'
intvolume: ' 29'
issue: '2'
language:
- iso: eng
month: '08'
oa_version: None
page: 152 - 161
publication: Advances in Applied Mathematics
publication_identifier:
issn:
- 0196-8858
publication_status: published
publisher: ACM
publist_id: '4505'
quality_controlled: '1'
scopus_import: '1'
status: public
title: On the number of corner cuts
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 29
year: '2002'
...