---
_id: '8028'
abstract:
- lang: eng
text: 'Transmission of signals within the brain is essential for cognitive function,
but it is not clear how neural circuits support reliable and accurate signal propagation
over a sufficiently large dynamic range. Two modes of propagation have been studied:
synfire chains, in which synchronous activity travels through feedforward layers
of a neuronal network, and the propagation of fluctuations in firing rate across
these layers. In both cases, a sufficient amount of noise, which was added to
previous models from an external source, had to be included to support stable
propagation. Sparse, randomly connected networks of spiking model neurons can
generate chaotic patterns of activity. We investigate whether this activity, which
is a more realistic noise source, is sufficient to allow for signal transmission.
We find that, for rate-coded signals but not for synfire chains, such networks
support robust and accurate signal reproduction through up to six layers if appropriate
adjustments are made in synaptic strengths. We investigate the factors affecting
transmission and show that multiple signals can propagate simultaneously along
different pathways. Using this feature, we show how different types of logic gates
can arise within the architecture of the random network through the strengthening
of specific synapses.'
article_processing_charge: No
article_type: original
author:
- first_name: Tim P
full_name: Vogels, Tim P
id: CB6FF8D2-008F-11EA-8E08-2637E6697425
last_name: Vogels
orcid: 0000-0003-3295-6181
- first_name: L. F.
full_name: Abbott, L. F.
last_name: Abbott
citation:
ama: Vogels TP, Abbott LF. Signal propagation and logic gating in networks of integrate-and-fire
neurons. Journal of Neuroscience. 2005;25(46):10786-10795. doi:10.1523/jneurosci.3508-05.2005
apa: Vogels, T. P., & Abbott, L. F. (2005). Signal propagation and logic gating
in networks of integrate-and-fire neurons. Journal of Neuroscience. Society
for Neuroscience. https://doi.org/10.1523/jneurosci.3508-05.2005
chicago: Vogels, Tim P, and L. F. Abbott. “Signal Propagation and Logic Gating in
Networks of Integrate-and-Fire Neurons.” Journal of Neuroscience. Society
for Neuroscience, 2005. https://doi.org/10.1523/jneurosci.3508-05.2005.
ieee: T. P. Vogels and L. F. Abbott, “Signal propagation and logic gating in networks
of integrate-and-fire neurons,” Journal of Neuroscience, vol. 25, no. 46.
Society for Neuroscience, pp. 10786–10795, 2005.
ista: Vogels TP, Abbott LF. 2005. Signal propagation and logic gating in networks
of integrate-and-fire neurons. Journal of Neuroscience. 25(46), 10786–10795.
mla: Vogels, Tim P., and L. F. Abbott. “Signal Propagation and Logic Gating in Networks
of Integrate-and-Fire Neurons.” Journal of Neuroscience, vol. 25, no. 46,
Society for Neuroscience, 2005, pp. 10786–95, doi:10.1523/jneurosci.3508-05.2005.
short: T.P. Vogels, L.F. Abbott, Journal of Neuroscience 25 (2005) 10786–10795.
date_created: 2020-06-25T13:12:33Z
date_published: 2005-11-16T00:00:00Z
date_updated: 2021-01-12T08:16:37Z
day: '16'
doi: 10.1523/jneurosci.3508-05.2005
extern: '1'
external_id:
pmid:
- '16291952'
intvolume: ' 25'
issue: '46'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6725859/
month: '11'
oa: 1
oa_version: Published Version
page: 10786-10795
pmid: 1
publication: Journal of Neuroscience
publication_identifier:
issn:
- 0270-6474
- 1529-2401
publication_status: published
publisher: Society for Neuroscience
quality_controlled: '1'
status: public
title: Signal propagation and logic gating in networks of integrate-and-fire neurons
type: journal_article
user_id: D865714E-FA4E-11E9-B85B-F5C5E5697425
volume: 25
year: '2005'
...
---
_id: '1444'
abstract:
- lang: eng
text: The paper surveys the mirror symmetry conjectures of Hausel-Thaddeus and Hausel-Rodriguez-Villegas
concerning the equality of certain Hodge numbers of SL(n, ℂ) vs. PGL(n, ℂ) flat
connections and character varieties for curves, respectively. Several new results
and conjectures and their relations to works of Hitchin, Gothen, Garsia-Haiman
and Earl-Kirwan are explained. These use the representation theory of finite groups
of Lie-type via the arithmetic of character varieties and lead to an unexpected
conjecture for a Hard Lefschetz theorem for their cohomology.
alternative_title:
- Progress in Mathematics
author:
- first_name: Tamas
full_name: Tamas Hausel
id: 4A0666D8-F248-11E8-B48F-1D18A9856A87
last_name: Hausel
citation:
ama: 'Hausel T. Mirror symmetry and Langlands duality in the non-Abelian Hodge theory
of a curve. In: Geometric Methods in Algebra and Number Theory. Vol 235.
Springer; 2005:193-217. doi:10.1007/0-8176-4417-2_9'
apa: Hausel, T. (2005). Mirror symmetry and Langlands duality in the non-Abelian
Hodge theory of a curve. In Geometric Methods in Algebra and Number Theory
(Vol. 235, pp. 193–217). Springer. https://doi.org/10.1007/0-8176-4417-2_9
chicago: Hausel, Tamás. “Mirror Symmetry and Langlands Duality in the Non-Abelian
Hodge Theory of a Curve.” In Geometric Methods in Algebra and Number Theory,
235:193–217. Springer, 2005. https://doi.org/10.1007/0-8176-4417-2_9.
ieee: T. Hausel, “Mirror symmetry and Langlands duality in the non-Abelian Hodge
theory of a curve,” in Geometric Methods in Algebra and Number Theory,
vol. 235, Springer, 2005, pp. 193–217.
ista: 'Hausel T. 2005.Mirror symmetry and Langlands duality in the non-Abelian Hodge
theory of a curve. In: Geometric Methods in Algebra and Number Theory. Progress
in Mathematics, vol. 235, 193–217.'
mla: Hausel, Tamás. “Mirror Symmetry and Langlands Duality in the Non-Abelian Hodge
Theory of a Curve.” Geometric Methods in Algebra and Number Theory, vol.
235, Springer, 2005, pp. 193–217, doi:10.1007/0-8176-4417-2_9.
short: T. Hausel, in:, Geometric Methods in Algebra and Number Theory, Springer,
2005, pp. 193–217.
date_created: 2018-12-11T11:52:03Z
date_published: 2005-01-01T00:00:00Z
date_updated: 2021-01-12T06:50:47Z
day: '01'
doi: 10.1007/0-8176-4417-2_9
extern: 1
intvolume: ' 235'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/math/0406380
month: '01'
oa: 1
page: 193 - 217
publication: Geometric Methods in Algebra and Number Theory
publication_status: published
publisher: Springer
publist_id: '5752'
quality_controlled: 0
status: public
title: Mirror symmetry and Langlands duality in the non-Abelian Hodge theory of a
curve
type: book_chapter
volume: 235
year: '2005'
...
---
_id: '1447'
abstract:
- lang: eng
text: Building on a recent paper [8], here we argue that the combinatorics of matroids
are intimately related to the geometry and topology of toric hyperkähler varieties.
We show that just like toric varieties occupy a central role in Stanley’s proof
for the necessity of McMullen’s conjecture (or g-inequalities) about the classification
of face vectors of simplicial polytopes, the topology of toric hyperkähler varieties
leads to new restrictions on face vectors of matroid complexes. Namely in this
paper we will give two proofs that the injectivity part of the Hard Lefschetz
theorem survives for toric hyperkähler varieties. We explain how this implies
the g-inequalities for rationally representable matroids. We show how the geometrical
intuition in the first proof, coupled with results of Chari [3], leads to a proof
of the g-inequalities for general matroid complexes, which is a recent result
of Swartz [20]. The geometrical idea in the second proof will show that a pure
O-sequence should satisfy the g-inequalities, thus showing that our result is
in fact a consequence of a long-standing conjecture of Stanley.
acknowledgement: Financial support wa s provided by a Miller Research Fellowship at
the University of California at Berkeley , and by NSF grants DMS- 0072675 and DMS-0305505.
author:
- first_name: Tamas
full_name: Tamas Hausel
id: 4A0666D8-F248-11E8-B48F-1D18A9856A87
last_name: Hausel
citation:
ama: Hausel T. Quaternionic geometry of matroids. Open Mathematics. 2005;3(1):26-38.
doi:10.2478/BF02475653
apa: Hausel, T. (2005). Quaternionic geometry of matroids. Open Mathematics.
Central European Science Journals. https://doi.org/10.2478/BF02475653
chicago: Hausel, Tamás. “Quaternionic Geometry of Matroids.” Open Mathematics.
Central European Science Journals, 2005. https://doi.org/10.2478/BF02475653.
ieee: T. Hausel, “Quaternionic geometry of matroids,” Open Mathematics, vol.
3, no. 1. Central European Science Journals, pp. 26–38, 2005.
ista: Hausel T. 2005. Quaternionic geometry of matroids. Open Mathematics. 3(1),
26–38.
mla: Hausel, Tamás. “Quaternionic Geometry of Matroids.” Open Mathematics,
vol. 3, no. 1, Central European Science Journals, 2005, pp. 26–38, doi:10.2478/BF02475653.
short: T. Hausel, Open Mathematics 3 (2005) 26–38.
date_created: 2018-12-11T11:52:05Z
date_published: 2005-03-01T00:00:00Z
date_updated: 2021-01-12T06:50:49Z
day: '01'
doi: 10.2478/BF02475653
extern: 1
intvolume: ' 3'
issue: '1'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/math/0308146
month: '03'
oa: 1
page: 26 - 38
publication: Open Mathematics
publication_status: published
publisher: Central European Science Journals
publist_id: '5749'
quality_controlled: 0
status: public
title: Quaternionic geometry of matroids
type: journal_article
volume: 3
year: '2005'
...
---
_id: '1463'
abstract:
- lang: eng
text: We study an integration theory in circle equivariant cohomology in order to
prove a theorem relating the cohomology ring of a hyperkähler quotient to the
cohomology ring of the quotient by a maximal abelian subgroup, analogous to a
theorem of Martin for symplectic quotients. We discuss applications of this theorem
to quiver varieties, and compute as an example the ordinary and equivariant cohomology
rings of a hyperpolygon space.
acknowledgement: ' Financial support was provided in part by NSF Grants DMS-0072675
and DMS-0305505.'
author:
- first_name: Tamas
full_name: Tamas Hausel
id: 4A0666D8-F248-11E8-B48F-1D18A9856A87
last_name: Hausel
- first_name: Nicholas
full_name: Proudfoot, Nicholas J
last_name: Proudfoot
citation:
ama: Hausel T, Proudfoot N. Abelianization for hyperkähler quotients. Topology.
2005;44(1):231-248. doi:10.1016/j.top.2004.04.002
apa: Hausel, T., & Proudfoot, N. (2005). Abelianization for hyperkähler quotients.
Topology. Elsevier. https://doi.org/10.1016/j.top.2004.04.002
chicago: Hausel, Tamás, and Nicholas Proudfoot. “Abelianization for Hyperkähler
Quotients.” Topology. Elsevier, 2005. https://doi.org/10.1016/j.top.2004.04.002.
ieee: T. Hausel and N. Proudfoot, “Abelianization for hyperkähler quotients,” Topology,
vol. 44, no. 1. Elsevier, pp. 231–248, 2005.
ista: Hausel T, Proudfoot N. 2005. Abelianization for hyperkähler quotients. Topology.
44(1), 231–248.
mla: Hausel, Tamás, and Nicholas Proudfoot. “Abelianization for Hyperkähler Quotients.”
Topology, vol. 44, no. 1, Elsevier, 2005, pp. 231–48, doi:10.1016/j.top.2004.04.002.
short: T. Hausel, N. Proudfoot, Topology 44 (2005) 231–248.
date_created: 2018-12-11T11:52:10Z
date_published: 2005-01-01T00:00:00Z
date_updated: 2021-01-12T06:50:55Z
day: '01'
doi: 10.1016/j.top.2004.04.002
extern: 1
intvolume: ' 44'
issue: '1'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/math/0310141
month: '01'
oa: 1
page: 231 - 248
publication: Topology
publication_status: published
publisher: Elsevier
publist_id: '5735'
quality_controlled: 0
status: public
title: Abelianization for hyperkähler quotients
type: journal_article
volume: 44
year: '2005'
...
---
_id: '9491'
abstract:
- lang: eng
text: Cytosine DNA methylation in vertebrates is widespread, but methylation in
plants is found almost exclusively at transposable elements and repetitive DNA
[1]. Within regions of methylation, methylcytosines are typically found in CG,
CNG, and asymmetric contexts. CG sites are maintained by a plant homolog of mammalian
Dnmt1 acting on hemi-methylated DNA after replication. Methylation of CNG and
asymmetric sites appears to be maintained at each cell cycle by other mechanisms.
We report a new type of DNA methylation in Arabidopsis, dense CG methylation clusters
found at scattered sites throughout the genome. These clusters lack non-CG methylation
and are preferentially found in genes, although they are relatively deficient
toward the 5′ end. CG methylation clusters are present in lines derived from different
accessions and in mutants that eliminate de novo methylation, indicating that
CG methylation clusters are stably maintained at specific sites. Because 5-methylcytosine
is mutagenic, the appearance of CG methylation clusters over evolutionary time
predicts a genome-wide deficiency of CG dinucleotides and an excess of C(A/T)G
trinucleotides within transcribed regions. This is exactly what we find, implying
that CG methylation clusters have contributed profoundly to plant gene evolution.
We suggest that CG methylation clusters silence cryptic promoters that arise sporadically
within transcription units.
article_processing_charge: No
article_type: original
author:
- first_name: Robert K.
full_name: Tran, Robert K.
last_name: Tran
- first_name: Jorja G.
full_name: Henikoff, Jorja G.
last_name: Henikoff
- first_name: Daniel
full_name: Zilberman, Daniel
id: 6973db13-dd5f-11ea-814e-b3e5455e9ed1
last_name: Zilberman
orcid: 0000-0002-0123-8649
- first_name: Renata F.
full_name: Ditt, Renata F.
last_name: Ditt
- first_name: Steven E.
full_name: Jacobsen, Steven E.
last_name: Jacobsen
- first_name: Steven
full_name: Henikoff, Steven
last_name: Henikoff
citation:
ama: Tran RK, Henikoff JG, Zilberman D, Ditt RF, Jacobsen SE, Henikoff S. DNA methylation
profiling identifies CG methylation clusters in Arabidopsis genes. Current
Biology. 2005;15(2):154-159. doi:10.1016/j.cub.2005.01.008
apa: Tran, R. K., Henikoff, J. G., Zilberman, D., Ditt, R. F., Jacobsen, S. E.,
& Henikoff, S. (2005). DNA methylation profiling identifies CG methylation
clusters in Arabidopsis genes. Current Biology. Elsevier. https://doi.org/10.1016/j.cub.2005.01.008
chicago: Tran, Robert K., Jorja G. Henikoff, Daniel Zilberman, Renata F. Ditt, Steven
E. Jacobsen, and Steven Henikoff. “DNA Methylation Profiling Identifies CG Methylation
Clusters in Arabidopsis Genes.” Current Biology. Elsevier, 2005. https://doi.org/10.1016/j.cub.2005.01.008.
ieee: R. K. Tran, J. G. Henikoff, D. Zilberman, R. F. Ditt, S. E. Jacobsen, and
S. Henikoff, “DNA methylation profiling identifies CG methylation clusters in
Arabidopsis genes,” Current Biology, vol. 15, no. 2. Elsevier, pp. 154–159,
2005.
ista: Tran RK, Henikoff JG, Zilberman D, Ditt RF, Jacobsen SE, Henikoff S. 2005.
DNA methylation profiling identifies CG methylation clusters in Arabidopsis genes.
Current Biology. 15(2), 154–159.
mla: Tran, Robert K., et al. “DNA Methylation Profiling Identifies CG Methylation
Clusters in Arabidopsis Genes.” Current Biology, vol. 15, no. 2, Elsevier,
2005, pp. 154–59, doi:10.1016/j.cub.2005.01.008.
short: R.K. Tran, J.G. Henikoff, D. Zilberman, R.F. Ditt, S.E. Jacobsen, S. Henikoff,
Current Biology 15 (2005) 154–159.
date_created: 2021-06-07T10:24:30Z
date_published: 2005-01-26T00:00:00Z
date_updated: 2021-12-14T09:12:26Z
day: '26'
department:
- _id: DaZi
doi: 10.1016/j.cub.2005.01.008
extern: '1'
external_id:
pmid:
- '15668172 '
intvolume: ' 15'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1016/j.cub.2005.01.008
month: '01'
oa: 1
oa_version: Published Version
page: 154-159
pmid: 1
publication: Current Biology
publication_identifier:
eissn:
- 1879-0445
issn:
- 0960-9822
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: DNA methylation profiling identifies CG methylation clusters in Arabidopsis
genes
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 15
year: '2005'
...
---
_id: '9514'
abstract:
- lang: eng
text: "Background:\r\nDNA methylation occurs at preferred sites in eukaryotes. In
Arabidopsis, DNA cytosine methylation is maintained by three subfamilies of methyltransferases
with distinct substrate specificities and different modes of action. Targeting
of cytosine methylation at selected loci has been found to sometimes involve histone
H3 methylation and small interfering (si)RNAs. However, the relationship between
different cytosine methylation pathways and their preferred targets is not known.\r\nResults:\r\nWe
used a microarray-based profiling method to explore the involvement of Arabidopsis
CMT3 and DRM DNA methyltransferases, a histone H3 lysine-9 methyltransferase (KYP)
and an Argonaute-related siRNA silencing component (AGO4) in methylating target
loci. We found that KYP targets are also CMT3 targets, suggesting that histone
methylation maintains CNG methylation genome-wide. CMT3 and KYP targets show similar
proximal distributions that correspond to the overall distribution of transposable
elements of all types, whereas DRM targets are distributed more distally along
the chromosome. We find an inverse relationship between element size and loss
of methylation in ago4 and drm mutants.\r\nConclusion:\r\nWe conclude that the
targets of both DNA methylation and histone H3K9 methylation pathways are transposable
elements genome-wide, irrespective of element type and position. Our findings
also suggest that RNA-directed DNA methylation is required to silence isolated
elements that may be too small to be maintained in a silent state by a chromatin-based
mechanism alone. Thus, parallel pathways would be needed to maintain silencing
of transposable elements."
article_number: R90
article_processing_charge: No
article_type: original
author:
- first_name: Robert K.
full_name: Tran, Robert K.
last_name: Tran
- first_name: Daniel
full_name: Zilberman, Daniel
id: 6973db13-dd5f-11ea-814e-b3e5455e9ed1
last_name: Zilberman
orcid: 0000-0002-0123-8649
- first_name: Cecilia
full_name: de Bustos, Cecilia
last_name: de Bustos
- first_name: Renata F.
full_name: Ditt, Renata F.
last_name: Ditt
- first_name: Jorja G.
full_name: Henikoff, Jorja G.
last_name: Henikoff
- first_name: Anders M.
full_name: Lindroth, Anders M.
last_name: Lindroth
- first_name: Jeffrey
full_name: Delrow, Jeffrey
last_name: Delrow
- first_name: Tom
full_name: Boyle, Tom
last_name: Boyle
- first_name: Samson
full_name: Kwong, Samson
last_name: Kwong
- first_name: Terri D.
full_name: Bryson, Terri D.
last_name: Bryson
- first_name: Steven E.
full_name: Jacobsen, Steven E.
last_name: Jacobsen
- first_name: Steven
full_name: Henikoff, Steven
last_name: Henikoff
citation:
ama: Tran RK, Zilberman D, de Bustos C, et al. Chromatin and siRNA pathways cooperate
to maintain DNA methylation of small transposable elements in Arabidopsis. Genome
Biology. 2005;6(11). doi:10.1186/gb-2005-6-11-r90
apa: Tran, R. K., Zilberman, D., de Bustos, C., Ditt, R. F., Henikoff, J. G., Lindroth,
A. M., … Henikoff, S. (2005). Chromatin and siRNA pathways cooperate to maintain
DNA methylation of small transposable elements in Arabidopsis. Genome Biology.
Springer Nature. https://doi.org/10.1186/gb-2005-6-11-r90
chicago: Tran, Robert K., Daniel Zilberman, Cecilia de Bustos, Renata F. Ditt, Jorja
G. Henikoff, Anders M. Lindroth, Jeffrey Delrow, et al. “Chromatin and SiRNA Pathways
Cooperate to Maintain DNA Methylation of Small Transposable Elements in Arabidopsis.”
Genome Biology. Springer Nature, 2005. https://doi.org/10.1186/gb-2005-6-11-r90.
ieee: R. K. Tran et al., “Chromatin and siRNA pathways cooperate to maintain
DNA methylation of small transposable elements in Arabidopsis,” Genome Biology,
vol. 6, no. 11. Springer Nature, 2005.
ista: Tran RK, Zilberman D, de Bustos C, Ditt RF, Henikoff JG, Lindroth AM, Delrow
J, Boyle T, Kwong S, Bryson TD, Jacobsen SE, Henikoff S. 2005. Chromatin and siRNA
pathways cooperate to maintain DNA methylation of small transposable elements
in Arabidopsis. Genome Biology. 6(11), R90.
mla: Tran, Robert K., et al. “Chromatin and SiRNA Pathways Cooperate to Maintain
DNA Methylation of Small Transposable Elements in Arabidopsis.” Genome Biology,
vol. 6, no. 11, R90, Springer Nature, 2005, doi:10.1186/gb-2005-6-11-r90.
short: R.K. Tran, D. Zilberman, C. de Bustos, R.F. Ditt, J.G. Henikoff, A.M. Lindroth,
J. Delrow, T. Boyle, S. Kwong, T.D. Bryson, S.E. Jacobsen, S. Henikoff, Genome
Biology 6 (2005).
date_created: 2021-06-07T13:12:41Z
date_published: 2005-10-19T00:00:00Z
date_updated: 2021-12-14T09:09:41Z
day: '19'
department:
- _id: DaZi
doi: 10.1186/gb-2005-6-11-r90
extern: '1'
external_id:
pmid:
- '16277745'
intvolume: ' 6'
issue: '11'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1186/gb-2005-6-11-r90
month: '10'
oa: 1
oa_version: Published Version
pmid: 1
publication: Genome Biology
publication_identifier:
eissn:
- 1465-6906
issn:
- 1474-760X
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Chromatin and siRNA pathways cooperate to maintain DNA methylation of small
transposable elements in Arabidopsis
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 6
year: '2005'
...
---
_id: '3416'
abstract:
- lang: eng
text: In the last decade atomic force microscopy has been used to measure the mechanical
stability of single proteins. These force spectroscopy experiments have shown
that many water-soluble and membrane proteins unfold via one or more intermediates.
Recently, Li and co-workers found a linear correlation between the unfolding force
of the native state and the intermediate in fibronectin, which they suggested
indicated the presence of a molecular memory or multiple unfolding pathways (1).
Here, we apply two independent methods in combination with Monte Carlo simulations
to analyze the unfolding of α-helices E and D of bacteriorhodopsin (BR). We show
that correlation analysis of unfolding forces is very sensitive to errors in force
calibration of the instrument. In contrast, a comparison of relative forces provides
a robust measure for the stability of unfolding intermediates. The proposed approach
detects three energetically different states of α-helices E and D in trimeric
BR. These states are not observed for monomeric BR and indicate that substantial
information is hidden in forced unfolding experiments of single proteins.
author:
- first_name: Harald L
full_name: Harald Janovjak
id: 33BA6C30-F248-11E8-B48F-1D18A9856A87
last_name: Janovjak
orcid: 0000-0002-8023-9315
- first_name: Tanuj
full_name: Sapra, Tanuj K
last_name: Sapra
- first_name: Daniel
full_name: Mueller, Daniel J
last_name: Mueller
citation:
ama: Janovjak HL, Sapra T, Mueller D. Complex stability of single proteins explored
by forced unfolding experiments. Biophysical Journal. 2005;88(5):37-39.
doi:10.1529/biophysj.105.059774
apa: Janovjak, H. L., Sapra, T., & Mueller, D. (2005). Complex stability of
single proteins explored by forced unfolding experiments. Biophysical Journal.
Biophysical Society. https://doi.org/10.1529/biophysj.105.059774
chicago: Janovjak, Harald L, Tanuj Sapra, and Daniel Mueller. “Complex Stability
of Single Proteins Explored by Forced Unfolding Experiments.” Biophysical Journal.
Biophysical Society, 2005. https://doi.org/10.1529/biophysj.105.059774.
ieee: H. L. Janovjak, T. Sapra, and D. Mueller, “Complex stability of single proteins
explored by forced unfolding experiments,” Biophysical Journal, vol. 88,
no. 5. Biophysical Society, pp. 37–39, 2005.
ista: Janovjak HL, Sapra T, Mueller D. 2005. Complex stability of single proteins
explored by forced unfolding experiments. Biophysical Journal. 88(5), 37–39.
mla: Janovjak, Harald L., et al. “Complex Stability of Single Proteins Explored
by Forced Unfolding Experiments.” Biophysical Journal, vol. 88, no. 5,
Biophysical Society, 2005, pp. 37–39, doi:10.1529/biophysj.105.059774.
short: H.L. Janovjak, T. Sapra, D. Mueller, Biophysical Journal 88 (2005) 37–39.
date_created: 2018-12-11T12:03:13Z
date_published: 2005-05-01T00:00:00Z
date_updated: 2021-01-12T07:43:19Z
day: '01'
doi: 10.1529/biophysj.105.059774
extern: 1
intvolume: ' 88'
issue: '5'
main_file_link:
- open_access: '1'
url: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1305525/
month: '05'
oa: 1
page: 37 - 39
publication: Biophysical Journal
publication_status: published
publisher: Biophysical Society
publist_id: '2985'
quality_controlled: 0
status: public
title: Complex stability of single proteins explored by forced unfolding experiments
type: journal_article
volume: 88
year: '2005'
...
---
_id: '3426'
abstract:
- lang: eng
text: We discuss the formation of graded morphogen profiles in a cell layer by nonlinear
transport phenomena, important for patterning developing organisms. We focus on
a process termed transcytosis, where morphogen transport results from the binding
of ligands to receptors on the cell surface, incorporation into the cell, and
subsequent externalization. Starting from a microscopic model, we derive effective
transport equations. We show that, in contrast to morphogen transport by extracellular
diffusion, transcytosis leads to robust ligand profiles which are insensitive
to the rate of ligand production.
article_processing_charge: No
arxiv: 1
author:
- first_name: Mark Tobias
full_name: Bollenbach, Mark Tobias
id: 3E6DB97A-F248-11E8-B48F-1D18A9856A87
last_name: Bollenbach
orcid: 0000-0003-4398-476X
- first_name: Karsten
full_name: Kruse, Karsten
last_name: Kruse
- first_name: Periklis
full_name: Pantazis, Periklis
last_name: Pantazis
- first_name: Marcos
full_name: González Gaitán, Marcos
last_name: González Gaitán
- first_name: Frank
full_name: Jülicher, Frank
last_name: Jülicher
citation:
ama: Bollenbach MT, Kruse K, Pantazis P, González Gaitán M, Jülicher F. Robust formation
of morphogen gradients. Physical Review Letters. 2005;94(1). doi:10.1103/PhysRevLett.94.018103
apa: Bollenbach, M. T., Kruse, K., Pantazis, P., González Gaitán, M., & Jülicher,
F. (2005). Robust formation of morphogen gradients. Physical Review Letters.
American Physical Society. https://doi.org/10.1103/PhysRevLett.94.018103
chicago: Bollenbach, Mark Tobias, Karsten Kruse, Periklis Pantazis, Marcos González
Gaitán, and Frank Jülicher. “Robust Formation of Morphogen Gradients.” Physical
Review Letters. American Physical Society, 2005. https://doi.org/10.1103/PhysRevLett.94.018103.
ieee: M. T. Bollenbach, K. Kruse, P. Pantazis, M. González Gaitán, and F. Jülicher,
“Robust formation of morphogen gradients,” Physical Review Letters, vol.
94, no. 1. American Physical Society, 2005.
ista: Bollenbach MT, Kruse K, Pantazis P, González Gaitán M, Jülicher F. 2005. Robust
formation of morphogen gradients. Physical Review Letters. 94(1).
mla: Bollenbach, Mark Tobias, et al. “Robust Formation of Morphogen Gradients.”
Physical Review Letters, vol. 94, no. 1, American Physical Society, 2005,
doi:10.1103/PhysRevLett.94.018103.
short: M.T. Bollenbach, K. Kruse, P. Pantazis, M. González Gaitán, F. Jülicher,
Physical Review Letters 94 (2005).
date_created: 2018-12-11T12:03:16Z
date_published: 2005-01-01T00:00:00Z
date_updated: 2021-01-12T07:43:23Z
day: '01'
doi: 10.1103/PhysRevLett.94.018103
extern: '1'
external_id:
arxiv:
- q-bio/0412014
intvolume: ' 94'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/q-bio/0412014
month: '01'
oa: 1
oa_version: Preprint
publication: Physical Review Letters
publication_status: published
publisher: American Physical Society
publist_id: '2975'
status: public
title: Robust formation of morphogen gradients
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 94
year: '2005'
...
---
_id: '3509'
abstract:
- lang: eng
text: Methods, apparatus and computer program products can generate light weight
but highly realistic and accurate colored models of three-dimensional colored
objects. The colored model may be generated from a second plurality of points
that define a coarse digital representation of the surface and at least one texture
map containing information derived from a first plurality of colored points that
define a fine digital representation of the surface. This derivation is achieved
by mapping points within the texture map to the fine digital representation of
the three-dimensional surface. Colored scan data may be used to construct the
fine digital representation as a triangulated surface (i.e., triangulation) using
a wrapping operation.
applicant:
- Raindrop Geomagic, Inc.
article_processing_charge: No
author:
- first_name: Steven
full_name: Williams, Steven
last_name: Williams
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: Ping
full_name: Fu, Ping
last_name: Fu
citation:
ama: Williams S, Edelsbrunner H, Fu P. Methods, apparatus and computer program products
for modeling three-dimensional colored objects. 2005.
apa: Williams, S., Edelsbrunner, H., & Fu, P. (2005). Methods, apparatus and
computer program products for modeling three-dimensional colored objects.
chicago: Williams, Steven, Herbert Edelsbrunner, and Ping Fu. “Methods, Apparatus
and Computer Program Products for Modeling Three-Dimensional Colored Objects,”
2005.
ieee: S. Williams, H. Edelsbrunner, and P. Fu, “Methods, apparatus and computer
program products for modeling three-dimensional colored objects.” 2005.
ista: Williams S, Edelsbrunner H, Fu P. 2005. Methods, apparatus and computer program
products for modeling three-dimensional colored objects.
mla: Williams, Steven, et al. Methods, Apparatus and Computer Program Products
for Modeling Three-Dimensional Colored Objects. 2005.
short: S. Williams, H. Edelsbrunner, P. Fu, (2005).
date_created: 2018-12-11T12:03:42Z
date_published: 2005-02-08T00:00:00Z
date_updated: 2022-01-05T13:59:09Z
day: '08'
extern: '1'
ipc: G06T17/20 ; G06T15/04
ipn: US6853373B2
main_file_link:
- open_access: '1'
url: https://patents.google.com/patent/US6853373B2/
month: '02'
oa: 1
oa_version: Published Version
publication_date: 2005-02-08
publist_id: '2878'
status: public
title: Methods, apparatus and computer program products for modeling three-dimensional
colored objects
type: patent
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2005'
...
---
_id: '3721'
abstract:
- lang: eng
text: Recent advances in atomic force microscopy allowed globular and membrane proteins
to be mechanically unfolded on a single-molecule level. Presented is an extension
to the existing force spectroscopy experiments. While unfolding single bacteriorhodopsins
from native purple membranes, small oscillation amplitudes (6–9nm) were supplied
to the vertical displacement of the cantilever at a frequency of 3kHz. The phase
and amplitude response of the cantilever-protein system was converted to reveal
the elastic (conservative) and viscous (dissipative) contributions to the unfolding
process. The elastic response (stiffness) of the extended parts of the protein
were in the range of a few tens pN/nm and could be well described by the derivative
of the wormlike chain model. Discrete events in the viscous response coincided
with the unfolding of single secondary structure elements and were in the range
of 1μNs/m. In addition, these force modulation spectroscopy experiments revealed
novel mechanical unfolding intermediates of bacteriorhodopsin. We found that kinks
result in a loss of unfolding cooperativity in transmembrane helices. Reconstructing
force-distance spectra by the integration of amplitude-distance spectra verified
their position, offering a novel approach to detect intermediates during the forced
unfolding of single proteins.
author:
- first_name: Harald L
full_name: Harald Janovjak
id: 33BA6C30-F248-11E8-B48F-1D18A9856A87
last_name: Janovjak
orcid: 0000-0002-8023-9315
- first_name: Daniel
full_name: Mueller, Daniel J
last_name: Mueller
- first_name: Andrew
full_name: Humphris, Andrew D
last_name: Humphris
citation:
ama: Janovjak HL, Mueller D, Humphris A. Molecular force modulation spectroscopy
revealing the dynamic response of single bacteriorhodopsins. Biophysical Journal.
2005;88(2):1423-1431. doi:10.1529/biophysj.104.052746
apa: Janovjak, H. L., Mueller, D., & Humphris, A. (2005). Molecular force modulation
spectroscopy revealing the dynamic response of single bacteriorhodopsins. Biophysical
Journal. Biophysical Society. https://doi.org/10.1529/biophysj.104.052746
chicago: Janovjak, Harald L, Daniel Mueller, and Andrew Humphris. “Molecular Force
Modulation Spectroscopy Revealing the Dynamic Response of Single Bacteriorhodopsins.”
Biophysical Journal. Biophysical Society, 2005. https://doi.org/10.1529/biophysj.104.052746.
ieee: H. L. Janovjak, D. Mueller, and A. Humphris, “Molecular force modulation spectroscopy
revealing the dynamic response of single bacteriorhodopsins,” Biophysical Journal,
vol. 88, no. 2. Biophysical Society, pp. 1423–1431, 2005.
ista: Janovjak HL, Mueller D, Humphris A. 2005. Molecular force modulation spectroscopy
revealing the dynamic response of single bacteriorhodopsins. Biophysical Journal.
88(2), 1423–1431.
mla: Janovjak, Harald L., et al. “Molecular Force Modulation Spectroscopy Revealing
the Dynamic Response of Single Bacteriorhodopsins.” Biophysical Journal,
vol. 88, no. 2, Biophysical Society, 2005, pp. 1423–31, doi:10.1529/biophysj.104.052746.
short: H.L. Janovjak, D. Mueller, A. Humphris, Biophysical Journal 88 (2005) 1423–1431.
date_created: 2018-12-11T12:04:48Z
date_published: 2005-02-01T00:00:00Z
date_updated: 2021-01-12T07:51:43Z
day: '01'
doi: 10.1529/biophysj.104.052746
extern: 1
intvolume: ' 88'
issue: '2'
main_file_link:
- open_access: '1'
url: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1305144/
month: '02'
oa: 1
page: 1423 - 1431
publication: Biophysical Journal
publication_status: published
publisher: Biophysical Society
publist_id: '2509'
quality_controlled: 0
status: public
title: Molecular force modulation spectroscopy revealing the dynamic response of single
bacteriorhodopsins
type: journal_article
volume: 88
year: '2005'
...
---
_id: '3741'
abstract:
- lang: eng
text: In an age of increasingly large data sets, investigators in many different
disciplines have turned to clustering as a tool for data analysis and exploration.
Existing clustering methods, however, typically depend on several nontrivial assumptions
about the structure of data. Here, we reformulate the clustering problem from
an information theoretic perspective that avoids many of these assumptions. In
particular, our formulation obviates the need for defining a cluster "prototype,"
does not require an a priori similarity metric, is invariant to changes in the
representation of the data, and naturally captures nonlinear relations. We apply
this approach to different domains and find that it consistently produces clusters
that are more coherent than those extracted by existing algorithms. Finally, our
approach provides a way of clustering based on collective notions of similarity
rather than the traditional pairwise measures.
author:
- first_name: N.
full_name: Slonim,N.
last_name: Slonim
- first_name: G.
full_name: Atwal,G.
last_name: Atwal
- first_name: Gasper
full_name: Gasper Tkacik
id: 3D494DCA-F248-11E8-B48F-1D18A9856A87
last_name: Tkacik
orcid: 0000-0002-6699-1455
- first_name: William
full_name: Bialek, William S
last_name: Bialek
citation:
ama: Slonim N, Atwal G, Tkačik G, Bialek W. Information-based clustering. PNAS.
2005;102(51):18297-18302. doi:10.1073/pnas.0507432102
apa: Slonim, N., Atwal, G., Tkačik, G., & Bialek, W. (2005). Information-based
clustering. PNAS. National Academy of Sciences. https://doi.org/10.1073/pnas.0507432102
chicago: Slonim, N., G. Atwal, Gašper Tkačik, and William Bialek. “Information-Based
Clustering.” PNAS. National Academy of Sciences, 2005. https://doi.org/10.1073/pnas.0507432102.
ieee: N. Slonim, G. Atwal, G. Tkačik, and W. Bialek, “Information-based clustering,”
PNAS, vol. 102, no. 51. National Academy of Sciences, pp. 18297–18302,
2005.
ista: Slonim N, Atwal G, Tkačik G, Bialek W. 2005. Information-based clustering.
PNAS. 102(51), 18297–18302.
mla: Slonim, N., et al. “Information-Based Clustering.” PNAS, vol. 102, no.
51, National Academy of Sciences, 2005, pp. 18297–302, doi:10.1073/pnas.0507432102.
short: N. Slonim, G. Atwal, G. Tkačik, W. Bialek, PNAS 102 (2005) 18297–18302.
date_created: 2018-12-11T12:04:55Z
date_published: 2005-12-20T00:00:00Z
date_updated: 2021-01-12T07:51:52Z
day: '20'
doi: 10.1073/pnas.0507432102
extern: 1
intvolume: ' 102'
issue: '51'
main_file_link:
- open_access: '1'
url: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1317937
month: '12'
oa: 1
page: 18297 - 18302
publication: PNAS
publication_status: published
publisher: National Academy of Sciences
publist_id: '2490'
quality_controlled: 0
status: public
title: Information-based clustering
type: journal_article
volume: 102
year: '2005'
...
---
_id: '3746'
abstract:
- lang: eng
text: We address the practical problems of estimating the information relations
that characterize large networks. Building on methods developed for analysis of
the neural code, we show that reliable estimates of mutual information can be
obtained with manageable computational effort. The same methods allow estimation
of higher order, multi-information terms. These ideas are illustrated by analyses
of gene expression, financial markets, and consumer preferences. In each case,
information theoretic measures correlate with independent, intuitive measures
of the underlying structures in the system.
author:
- first_name: Noam
full_name: Slonim,Noam
last_name: Slonim
- first_name: Gurinder
full_name: Atwal,Gurinder S
last_name: Atwal
- first_name: Gasper
full_name: Gasper Tkacik
id: 3D494DCA-F248-11E8-B48F-1D18A9856A87
last_name: Tkacik
orcid: 0000-0002-6699-1455
- first_name: William
full_name: Bialek, William S
last_name: Bialek
citation:
ama: Slonim N, Atwal G, Tkačik G, Bialek W. Estimating mutual information and multi-information
in large networks. ArXiv. 2005:1-11.
apa: Slonim, N., Atwal, G., Tkačik, G., & Bialek, W. (2005). Estimating mutual
information and multi-information in large networks. ArXiv. ArXiv.
chicago: Slonim, Noam, Gurinder Atwal, Gašper Tkačik, and William Bialek. “Estimating
Mutual Information and Multi-Information in Large Networks.” ArXiv. ArXiv,
2005.
ieee: N. Slonim, G. Atwal, G. Tkačik, and W. Bialek, “Estimating mutual information
and multi-information in large networks,” ArXiv. ArXiv, pp. 1–11, 2005.
ista: Slonim N, Atwal G, Tkačik G, Bialek W. 2005. Estimating mutual information
and multi-information in large networks. ArXiv, 1–11, .
mla: Slonim, Noam, et al. “Estimating Mutual Information and Multi-Information in
Large Networks.” ArXiv, ArXiv, 2005, pp. 1–11.
short: N. Slonim, G. Atwal, G. Tkačik, W. Bialek, ArXiv (2005) 1–11.
date_created: 2018-12-11T12:04:56Z
date_published: 2005-02-03T00:00:00Z
date_updated: 2021-01-12T07:51:54Z
day: '03'
extern: 1
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/cs/0502017v1
month: '02'
oa: 1
page: 1 - 11
publication: ArXiv
publication_status: published
publisher: ArXiv
publist_id: '2484'
quality_controlled: 0
status: public
title: Estimating mutual information and multi-information in large networks
type: preprint
year: '2005'
...
---
_id: '4252'
abstract:
- lang: eng
text: Empirical studies of quantitative genetic variation have revealed robust patterns
that are observed both across traits and across species. However, these patterns
have no compelling explanation, and some of the observations even appear to be
mutually incompatible. We review and extend a major class of theoretical models,
‘mutation–selection models’, that have been proposed to explain quantitative genetic
variation. We also briefly review an alternative class of ‘balancing selection
models’. We consider to what extent the models are compatible with the general
observations, and argue that a key issue is understanding and modelling pleiotropy.
We discuss some
author:
- first_name: Toby
full_name: Johnson, Toby
last_name: Johnson
- first_name: Nicholas H
full_name: Nicholas Barton
id: 4880FE40-F248-11E8-B48F-1D18A9856A87
last_name: Barton
orcid: 0000-0002-8548-5240
citation:
ama: Johnson T, Barton NH. Theoretical models of selection and mutationon quantitative
traits. Philosophical Transactions of the Royal Society of London Series B,
Biological Sciences. 2005;360(1459):1411-1425. doi:10.1098/rstb.2005.1667
apa: Johnson, T., & Barton, N. H. (2005). Theoretical models of selection and
mutationon quantitative traits. Philosophical Transactions of the Royal Society
of London. Series B, Biological Sciences. Royal Society, The. https://doi.org/10.1098/rstb.2005.1667
chicago: Johnson, Toby, and Nicholas H Barton. “Theoretical Models of Selection
and Mutationon Quantitative Traits.” Philosophical Transactions of the Royal
Society of London. Series B, Biological Sciences. Royal Society, The, 2005.
https://doi.org/10.1098/rstb.2005.1667.
ieee: T. Johnson and N. H. Barton, “Theoretical models of selection and mutationon
quantitative traits,” Philosophical Transactions of the Royal Society of London.
Series B, Biological Sciences, vol. 360, no. 1459. Royal Society, The, pp.
1411–1425, 2005.
ista: Johnson T, Barton NH. 2005. Theoretical models of selection and mutationon
quantitative traits. Philosophical Transactions of the Royal Society of London.
Series B, Biological Sciences. 360(1459), 1411–1425.
mla: Johnson, Toby, and Nicholas H. Barton. “Theoretical Models of Selection and
Mutationon Quantitative Traits.” Philosophical Transactions of the Royal Society
of London. Series B, Biological Sciences, vol. 360, no. 1459, Royal Society,
The, 2005, pp. 1411–25, doi:10.1098/rstb.2005.1667.
short: T. Johnson, N.H. Barton, Philosophical Transactions of the Royal Society
of London. Series B, Biological Sciences 360 (2005) 1411–1425.
date_created: 2018-12-11T12:07:51Z
date_published: 2005-07-29T00:00:00Z
date_updated: 2021-01-12T07:55:38Z
day: '29'
doi: 10.1098/rstb.2005.1667
extern: 1
intvolume: ' 360'
issue: '1459'
main_file_link:
- open_access: '1'
url: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1569515/
month: '07'
oa: 1
page: 1411 - 1425
publication: Philosophical Transactions of the Royal Society of London. Series B,
Biological Sciences
publication_status: published
publisher: Royal Society, The
publist_id: '1847'
quality_controlled: 0
status: public
title: Theoretical models of selection and mutationon quantitative traits
type: journal_article
volume: 360
year: '2005'
...
---
_id: '212'
abstract:
- lang: eng
text: For any n ≧ 2, let F ∈ ℤ [ x 1, … , xn ] be a form of degree d≧ 2, which produces
a geometrically irreducible hypersurface in ℙn–1. This paper is concerned with
the number N(F;B) of rational points on F = 0 which have height at most B. For
any ε > 0 we establish the estimate N(F; B) = O(B n− 2+ ε ), whenever either
n ≦ 5 or the hypersurface is not a union of lines. Here the implied constant depends
at most upon d, n and ε.
author:
- first_name: Timothy D
full_name: Timothy Browning
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
- first_name: Roger
full_name: Heath-Brown, Roger
last_name: Heath Brown
citation:
ama: Browning TD, Heath Brown R. Counting rational points on hypersurfaces. Journal
fur die Reine und Angewandte Mathematik. 2005;(584):83-115. doi:https://doi.org/10.1515/crll.2005.2005.584.83
apa: Browning, T. D., & Heath Brown, R. (2005). Counting rational points on
hypersurfaces. Journal Fur Die Reine Und Angewandte Mathematik. Walter
de Gruyter and Co . https://doi.org/10.1515/crll.2005.2005.584.83
chicago: Browning, Timothy D, and Roger Heath Brown. “Counting Rational Points on
Hypersurfaces.” Journal Fur Die Reine Und Angewandte Mathematik. Walter
de Gruyter and Co , 2005. https://doi.org/10.1515/crll.2005.2005.584.83.
ieee: T. D. Browning and R. Heath Brown, “Counting rational points on hypersurfaces,”
Journal fur die Reine und Angewandte Mathematik, no. 584. Walter de Gruyter
and Co , pp. 83–115, 2005.
ista: Browning TD, Heath Brown R. 2005. Counting rational points on hypersurfaces.
Journal fur die Reine und Angewandte Mathematik. (584), 83–115.
mla: Browning, Timothy D., and Roger Heath Brown. “Counting Rational Points on Hypersurfaces.”
Journal Fur Die Reine Und Angewandte Mathematik, no. 584, Walter de Gruyter
and Co , 2005, pp. 83–115, doi:https://doi.org/10.1515/crll.2005.2005.584.83.
short: T.D. Browning, R. Heath Brown, Journal Fur Die Reine Und Angewandte Mathematik
(2005) 83–115.
date_created: 2018-12-11T11:45:14Z
date_published: 2005-11-26T00:00:00Z
date_updated: 2021-01-12T06:55:25Z
day: '26'
doi: https://doi.org/10.1515/crll.2005.2005.584.83
extern: 1
issue: '584'
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/0707.2296
month: '11'
oa: 1
page: 83 - 115
publication: Journal fur die Reine und Angewandte Mathematik
publication_status: published
publisher: 'Walter de Gruyter and Co '
publist_id: '7701'
quality_controlled: 0
status: public
title: Counting rational points on hypersurfaces
type: journal_article
year: '2005'
...
---
_id: '214'
abstract:
- lang: eng
text: Given an absolutely irreducible ternary form F, the purpose of this paper
is to produce better upper bounds for the number of integer solutions to the equation
F=0, that are restricted to lie in very lopsided boxes. As an application of the
main result, a new paucity estimate is obtained for equal sums of two like powers.
author:
- first_name: Timothy D
full_name: Timothy Browning
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
- first_name: Roger
full_name: Heath-Brown, Roger
last_name: Heath Brown
citation:
ama: Browning TD, Heath Brown R. Plane curves in boxes and equal sums of two powers.
Mathematische Zeitschrift. 2005;251(2):233-247. doi:10.1007/s00209-004-0719-z
apa: Browning, T. D., & Heath Brown, R. (2005). Plane curves in boxes and equal
sums of two powers. Mathematische Zeitschrift. Unknown. https://doi.org/10.1007/s00209-004-0719-z
chicago: Browning, Timothy D, and Roger Heath Brown. “Plane Curves in Boxes and
Equal Sums of Two Powers.” Mathematische Zeitschrift. Unknown, 2005. https://doi.org/10.1007/s00209-004-0719-z.
ieee: T. D. Browning and R. Heath Brown, “Plane curves in boxes and equal sums of
two powers,” Mathematische Zeitschrift, vol. 251, no. 2. Unknown, pp. 233–247,
2005.
ista: Browning TD, Heath Brown R. 2005. Plane curves in boxes and equal sums of
two powers. Mathematische Zeitschrift. 251(2), 233–247.
mla: Browning, Timothy D., and Roger Heath Brown. “Plane Curves in Boxes and Equal
Sums of Two Powers.” Mathematische Zeitschrift, vol. 251, no. 2, Unknown,
2005, pp. 233–47, doi:10.1007/s00209-004-0719-z.
short: T.D. Browning, R. Heath Brown, Mathematische Zeitschrift 251 (2005) 233–247.
date_created: 2018-12-11T11:45:15Z
date_published: 2005-09-01T00:00:00Z
date_updated: 2021-01-12T06:55:33Z
day: '01'
doi: 10.1007/s00209-004-0719-z
extern: 1
intvolume: ' 251'
issue: '2'
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/math/0506497
month: '09'
oa: 1
page: 233 - 247
publication: Mathematische Zeitschrift
publication_status: published
publisher: Unknown
publist_id: '7699'
quality_controlled: 0
status: public
title: Plane curves in boxes and equal sums of two powers
type: journal_article
volume: 251
year: '2005'
...
---
_id: '2335'
abstract:
- lang: eng
text: This book contains a unique survey of the mathematically rigorous results
about the quantum-mechanical many-body problem that have been obtained by the
authors in the past seven years. It addresses a topic that is not only rich mathematically,
using a large variety of techniques in mathematical analysis, but is also one
with strong ties to current experiments on ultra-cold Bose gases and Bose-Einstein
condensation. The book provides a pedagogical entry into an active area of ongoing
research for both graduate students and researchers. It is an outgrowth of a course
given by the authors for graduate students and post-doctoral researchers at the
Oberwolfach Research Institute in 2004. The book also provides a coherent summary
of the field and a reference for mathematicians and physicists active in research
on quantum mechanics.
alternative_title:
- Oberwolfach Seminars
article_processing_charge: No
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: Jan
full_name: Solovej, Jan
last_name: Solovej
- first_name: Jakob
full_name: Yngvason, Jakob
last_name: Yngvason
citation:
ama: 'Lieb É, Seiringer R, Solovej J, Yngvason J. The Mathematics of the Bose
Gas and Its Condensation. Vol 34. Basel ; Berlin: Birkhäuser Verlag; 2005.
doi:10.1007/b137508'
apa: 'Lieb, É., Seiringer, R., Solovej, J., & Yngvason, J. (2005). The Mathematics
of the Bose gas and its Condensation (Vol. 34). Basel ; Berlin: Birkhäuser
Verlag. https://doi.org/10.1007/b137508'
chicago: 'Lieb, Élliott, Robert Seiringer, Jan Solovej, and Jakob Yngvason. The
Mathematics of the Bose Gas and Its Condensation. Vol. 34. Basel ; Berlin:
Birkhäuser Verlag, 2005. https://doi.org/10.1007/b137508.'
ieee: 'É. Lieb, R. Seiringer, J. Solovej, and J. Yngvason, The Mathematics of
the Bose gas and its Condensation, vol. 34. Basel ; Berlin: Birkhäuser Verlag,
2005.'
ista: 'Lieb É, Seiringer R, Solovej J, Yngvason J. 2005. The Mathematics of the
Bose gas and its Condensation, Basel ; Berlin: Birkhäuser Verlag, VIII, 203p.'
mla: Lieb, Élliott, et al. The Mathematics of the Bose Gas and Its Condensation.
Vol. 34, Birkhäuser Verlag, 2005, doi:10.1007/b137508.
short: É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, The Mathematics of the Bose
Gas and Its Condensation, Birkhäuser Verlag, Basel ; Berlin, 2005.
date_created: 2018-12-11T11:57:03Z
date_published: 2005-01-01T00:00:00Z
date_updated: 2021-12-22T08:04:00Z
day: '01'
doi: 10.1007/b137508
extern: '1'
external_id:
arxiv:
- cond-mat/0610117
intvolume: ' 34'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/cond-mat/0610117
month: '01'
oa: 1
oa_version: Preprint
page: VIII, 203
place: Basel ; Berlin
publication_identifier:
isbn:
- 978-3-7643-7336-8
publication_status: published
publisher: Birkhäuser Verlag
publist_id: '4591'
quality_controlled: '1'
status: public
title: The Mathematics of the Bose gas and its Condensation
type: book
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 34
year: '2005'
...
---
_id: '2336'
abstract:
- lang: eng
text: |2-
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, and to explore new regimes not treated before. 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 2πħ2 aρ/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 N 7/5 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 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, several 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 and superfluidity as we have shown. On the frontier of experimental developments is the possibility that a dilute gas in an elongated trap will behave like a one-dimensional system; we have proved this mathematically. 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; using this we can also prove the N 7/5 formula for the ground state energy of the two-component charged Bose gas proposed by Dyson in 1967. All of this is quite recent work and it is hoped that the mathematical methodology might be useful, ultimately, to solve more complex problems connected with these interesting systems.
alternative_title:
- Mathematical Physics Studies
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
- first_name: Jan
full_name: Solovej, Jan P
last_name: Solovej
- first_name: Jakob
full_name: Yngvason, Jakob
last_name: Yngvason
citation:
ama: 'Lieb É, Seiringer R, Solovej J, Yngvason J. The quantum-mechanical many-body
problem: The Bose gas. In: Benedicks M, Jones P, Smirnov S, Winckler B, eds. Perspectives
in Analysis. Vol 27. Springer; 2005:97-183. doi:10.1007/3-540-30434-7_9'
apa: 'Lieb, É., Seiringer, R., Solovej, J., & Yngvason, J. (2005). The quantum-mechanical
many-body problem: The Bose gas. In M. Benedicks, P. Jones, S. Smirnov, &
B. Winckler (Eds.), Perspectives in Analysis (Vol. 27, pp. 97–183). Springer.
https://doi.org/10.1007/3-540-30434-7_9'
chicago: 'Lieb, Élliott, Robert Seiringer, Jan Solovej, and Jakob Yngvason. “The
Quantum-Mechanical Many-Body Problem: The Bose Gas.” In Perspectives in Analysis,
edited by Michael Benedicks, Peter Jones, Stanislav Smirnov, and Björn Winckler,
27:97–183. Springer, 2005. https://doi.org/10.1007/3-540-30434-7_9.'
ieee: 'É. Lieb, R. Seiringer, J. Solovej, and J. Yngvason, “The quantum-mechanical
many-body problem: The Bose gas,” in Perspectives in Analysis, vol. 27,
M. Benedicks, P. Jones, S. Smirnov, and B. Winckler, Eds. Springer, 2005, pp.
97–183.'
ista: 'Lieb É, Seiringer R, Solovej J, Yngvason J. 2005.The quantum-mechanical many-body
problem: The Bose gas. In: Perspectives in Analysis. Mathematical Physics Studies,
vol. 27, 97–183.'
mla: 'Lieb, Élliott, et al. “The Quantum-Mechanical Many-Body Problem: The Bose
Gas.” Perspectives in Analysis, edited by Michael Benedicks et al., vol.
27, Springer, 2005, pp. 97–183, doi:10.1007/3-540-30434-7_9.'
short: É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, in:, M. Benedicks, P. Jones,
S. Smirnov, B. Winckler (Eds.), Perspectives in Analysis, Springer, 2005, pp.
97–183.
date_created: 2018-12-11T11:57:04Z
date_published: 2005-01-01T00:00:00Z
date_updated: 2021-01-12T06:56:52Z
day: '01'
doi: 10.1007/3-540-30434-7_9
editor:
- first_name: Michael
full_name: Benedicks, Michael
last_name: Benedicks
- first_name: Peter
full_name: Jones, Peter W
last_name: Jones
- first_name: Stanislav
full_name: Smirnov, Stanislav
last_name: Smirnov
- first_name: Björn
full_name: Winckler, Björn
last_name: Winckler
extern: 1
intvolume: ' 27'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/math-ph/0405004
month: '01'
oa: 1
page: 97 - 183
publication: Perspectives in Analysis
publication_status: published
publisher: Springer
publist_id: '4590'
quality_controlled: 0
status: public
title: 'The quantum-mechanical many-body problem: The Bose gas'
type: book_chapter
volume: 27
year: '2005'
...
---
_id: '2359'
abstract:
- lang: eng
text: The validity of substituting a c-number z for the k = 0 mode operator a0 is
established rigorously in full generality, thereby verifying one aspect of Bogoliubov's
1947 theory. This substitution not only yields the correct value of thermodynamic
quantities such as the pressure or ground state energy, but also the value of
|z|2 that maximizes the partition function equals the true amount of condensation
in the presence of a gauge-symmetry-breaking term. This point had previously been
elusive.
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
- first_name: Jakob
full_name: Yngvason, Jakob
last_name: Yngvason
citation:
ama: Lieb É, Seiringer R, Yngvason J. Justification of c-number substitutions in
bosonic hamiltonians. Physical Review Letters. 2005;94(8). doi:10.1103/PhysRevLett.94.080401
apa: Lieb, É., Seiringer, R., & Yngvason, J. (2005). Justification of c-number
substitutions in bosonic hamiltonians. Physical Review Letters. American
Physical Society. https://doi.org/10.1103/PhysRevLett.94.080401
chicago: Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Justification of
C-Number Substitutions in Bosonic Hamiltonians.” Physical Review Letters.
American Physical Society, 2005. https://doi.org/10.1103/PhysRevLett.94.080401.
ieee: É. Lieb, R. Seiringer, and J. Yngvason, “Justification of c-number substitutions
in bosonic hamiltonians,” Physical Review Letters, vol. 94, no. 8. American
Physical Society, 2005.
ista: Lieb É, Seiringer R, Yngvason J. 2005. Justification of c-number substitutions
in bosonic hamiltonians. Physical Review Letters. 94(8).
mla: Lieb, Élliott, et al. “Justification of C-Number Substitutions in Bosonic Hamiltonians.”
Physical Review Letters, vol. 94, no. 8, American Physical Society, 2005,
doi:10.1103/PhysRevLett.94.080401.
short: É. Lieb, R. Seiringer, J. Yngvason, Physical Review Letters 94 (2005).
date_created: 2018-12-11T11:57:12Z
date_published: 2005-03-04T00:00:00Z
date_updated: 2021-01-12T06:57:00Z
day: '04'
doi: 10.1103/PhysRevLett.94.080401
extern: 1
intvolume: ' 94'
issue: '8'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/math-ph/0412023
month: '03'
oa: 1
publication: Physical Review Letters
publication_status: published
publisher: American Physical Society
publist_id: '4566'
quality_controlled: 0
status: public
title: Justification of c-number substitutions in bosonic hamiltonians
type: journal_article
volume: 94
year: '2005'
...
---
_id: '2361'
abstract:
- lang: eng
text: The strong subadditivity of entropy plays a key role in several areas of physics
and mathematics. It states that the entropy S[±]=- Tr(ϱlnϱ) of a density matrix
ϱ123 on the product of three Hilbert spaces satisfies S[ϱ123]- S[ϱ12]≤S[ϱ23]-S[ϱ2].
We strengthen this to S[ϱ123]-S[ϱ12] ≤αnα(S[ϱ23α]-S[ϱ2α]), where the nα are
weights and the ϱ23α are partitions of ϱ23. Correspondingly, there is a strengthening
of the theorem that the map A|Trexp[L+lnA] is concave. As applications we prove
some monotonicity and convexity properties of the Wehrl coherent state entropy
and entropy inequalities for quantum gases.
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. Stronger subadditivity of entropy. Physical Review
A - Atomic, Molecular, and Optical Physics. 2005;71(6). doi:10.1103/PhysRevA.71.062329
apa: Lieb, É., & Seiringer, R. (2005). Stronger subadditivity of entropy. Physical
Review A - Atomic, Molecular, and Optical Physics. American Physical Society.
https://doi.org/10.1103/PhysRevA.71.062329
chicago: Lieb, Élliott, and Robert Seiringer. “Stronger Subadditivity of Entropy.”
Physical Review A - Atomic, Molecular, and Optical Physics. American Physical
Society, 2005. https://doi.org/10.1103/PhysRevA.71.062329.
ieee: É. Lieb and R. Seiringer, “Stronger subadditivity of entropy,” Physical
Review A - Atomic, Molecular, and Optical Physics, vol. 71, no. 6. American
Physical Society, 2005.
ista: Lieb É, Seiringer R. 2005. Stronger subadditivity of entropy. Physical Review
A - Atomic, Molecular, and Optical Physics. 71(6).
mla: Lieb, Élliott, and Robert Seiringer. “Stronger Subadditivity of Entropy.” Physical
Review A - Atomic, Molecular, and Optical Physics, vol. 71, no. 6, American
Physical Society, 2005, doi:10.1103/PhysRevA.71.062329.
short: É. Lieb, R. Seiringer, Physical Review A - Atomic, Molecular, and Optical
Physics 71 (2005).
date_created: 2018-12-11T11:57:13Z
date_published: 2005-06-01T00:00:00Z
date_updated: 2021-01-12T06:57:01Z
day: '01'
doi: 10.1103/PhysRevA.71.062329
extern: 1
intvolume: ' 71'
issue: '6'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/math-ph/0412009
month: '06'
oa: 1
publication: Physical Review A - Atomic, Molecular, and Optical Physics
publication_status: published
publisher: American Physical Society
publist_id: '4564'
quality_controlled: 0
status: public
title: Stronger subadditivity of entropy
type: journal_article
volume: 71
year: '2005'
...
---
_id: '2362'
abstract:
- lang: eng
text: Recent developments in the physics of low-density trapped gases make it worthwhile
to verify old, well-known results that, while plausible, were based on perturbation
theory and assumptions about pseudopotentials. We use and extend recently developed
techniques to give a rigorous derivation of the asymptotic formula for the ground-state
energy of a dilute gas of N fermions interacting with a short-range, positive
potential of scattering length a. For spin-12 fermions, this is E∼E0+(22m)2πNa,
where E0 is the energy of the noninteracting system and is the density. A similar
formula holds in two dimensions (2D), with a replaced by ln(a2). Obviously this
2D energy is not the expectation value of a density-independent pseudopotential.
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
- first_name: Jan
full_name: Solovej, Jan P
last_name: Solovej
citation:
ama: Lieb É, Seiringer R, Solovej J. Ground state energy of the low density Fermi
gas. Physical Review A - Atomic, Molecular, and Optical Physics. 2005;71(5).
doi:10.1103/PhysRevA.71.053605
apa: Lieb, É., Seiringer, R., & Solovej, J. (2005). Ground state energy of the
low density Fermi gas. Physical Review A - Atomic, Molecular, and Optical Physics.
American Physical Society. https://doi.org/10.1103/PhysRevA.71.053605
chicago: Lieb, Élliott, Robert Seiringer, and Jan Solovej. “Ground State Energy
of the Low Density Fermi Gas.” Physical Review A - Atomic, Molecular, and Optical
Physics. American Physical Society, 2005. https://doi.org/10.1103/PhysRevA.71.053605.
ieee: É. Lieb, R. Seiringer, and J. Solovej, “Ground state energy of the low density
Fermi gas,” Physical Review A - Atomic, Molecular, and Optical Physics,
vol. 71, no. 5. American Physical Society, 2005.
ista: Lieb É, Seiringer R, Solovej J. 2005. Ground state energy of the low density
Fermi gas. Physical Review A - Atomic, Molecular, and Optical Physics. 71(5).
mla: Lieb, Élliott, et al. “Ground State Energy of the Low Density Fermi Gas.” Physical
Review A - Atomic, Molecular, and Optical Physics, vol. 71, no. 5, American
Physical Society, 2005, doi:10.1103/PhysRevA.71.053605.
short: É. Lieb, R. Seiringer, J. Solovej, Physical Review A - Atomic, Molecular,
and Optical Physics 71 (2005).
date_created: 2018-12-11T11:57:13Z
date_published: 2005-05-01T00:00:00Z
date_updated: 2021-01-12T06:57:01Z
day: '01'
doi: 10.1103/PhysRevA.71.053605
extern: 1
intvolume: ' 71'
issue: '5'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/math-ph/0412080
month: '05'
oa: 1
publication: Physical Review A - Atomic, Molecular, and Optical Physics
publication_status: published
publisher: American Physical Society
publist_id: '4565'
quality_controlled: 0
status: public
title: Ground state energy of the low density Fermi gas
type: journal_article
volume: 71
year: '2005'
...