@article{2351,
  abstract     = {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       = {Robert Seiringer},
  journal      = {Communications in Mathematical Physics},
  number       = {3},
  pages        = {491 -- 509},
  publisher    = {Springer},
  title        = {{Gross-Pitaevskii theory of the rotating Bose gas}},
  doi          = {10.1007/s00220-002-0695-2},
  volume       = {229},
  year         = {2002},
}

@article{2352,
  abstract     = {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       = {Hainzl, Christian and Robert Seiringer},
  journal      = {Letters in Mathematical Physics},
  number       = {1},
  pages        = {75 -- 84},
  publisher    = {Springer},
  title        = {{General decomposition of radial functions on ℝn and applications to N-body quantum systems}},
  doi          = {10.1023/A:1020204818938},
  volume       = {61},
  year         = {2002},
}

@article{2353,
  abstract     = {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.},
  author       = {Lieb, Élliott and Seiringer, Robert and Yngvason, Jakob},
  issn         = {0163-1829},
  journal      = {Physical Review B - Condensed Matter and Materials Physics},
  number       = {13},
  publisher    = {American Physical Society},
  title        = {{Superfluidity in dilute trapped Bose gases}},
  doi          = {10.1103/PhysRevB.66.134529},
  volume       = {66},
  year         = {2002},
}

@article{2420,
  abstract     = {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.},
  author       = {Wagner, Uli},
  issn         = {0196-8858},
  journal      = {Advances in Applied Mathematics},
  number       = {2},
  pages        = {152 -- 161},
  publisher    = {ACM},
  title        = {{On the number of corner cuts}},
  doi          = {10.1016/S0196-8858(02)00014-3},
  volume       = {29},
  year         = {2002},
}

@inproceedings{2421,
  abstract     = {Intersection graphs of disks and of line segments, respectively, have been well studied, because of both, practical applications and theoretically interesting properties of these graphs. Despite partial results, the complexity status of the Clique problem for these two graph classes is still open. Here, we consider the Clique problem for intersection graphs of ellipses which in a sense, interpolate between disc and ellipses, and show that it is APX-hard in that case. Moreover, this holds even if for all ellipses, the ratio of the larger over the smaller radius is some prescribed number. To our knowledge, this is the first hardness result for the Clique problem in intersection graphs of objects with finite description complexity. We also describe a simple approximation algorithm for the case of ellipses for which the ratio of radii is bounded.},
  author       = {Ambühl, Christoph and Wagner, Uli},
  booktitle    = {Proceedings of the 13th International Symposium on Algorithms and Computation},
  isbn         = {9783540001423},
  location     = {Vancouver, Canada},
  pages        = {489 -- 500},
  publisher    = {Springer},
  title        = {{On the Clique problem in intersection graphs of ellipses}},
  doi          = {10.1007/3-540-36136-7_43},
  volume       = {2518},
  year         = {2002},
}

@article{2613,
  abstract     = {In this investigation, we report identification and characterization of a 95 kDa postsynaptic density protein (PSD-95)/discs-large/ ZO-1 (PDZ) domain-containing protein termed tamalin, also recently named GRP1-associated scaffold protein (GRASP), that interacts with group 1 metabotropic glutamate receptors (mGluRs). The yeast two-hybrid system and in vitro pull-down assays indicated that the PDZ domain-containing, amino-terminal half of tamalin directly binds to the class I PDZ-binding motif of group 1 mGluRs. The C-terminal half of tamalin also bound to cytohesins, the members of guanine nucleotide exchange factors (GEFs) specific for the ADP-ribosylation factor (ARF) family of small GTP-binding proteins. Tamalin mRNA is expressed predominantly in the telencephalic region and highly overlaps with the expression of group 1 mGluR mRNAs. Both tamalin and cytohesin-2 were enriched and codistributed with mGluR1a in postsynaptic membrane fractions. Importantly, recombinant and native mGluR1a/tamalin/cytohesin-2 complexes were coimmunoprecipitated from transfected COS-7 cells and rat brain tissue, respectively. Transfection of tamalin and mutant tamalin lacking a cytohesin-binding domain caused an increase and decrease in cell-surface expression of mGluR1a in COS-7 cells, respectively. Furthermore, adenovirus-mediated expression of tamalin and dominant-negative tamalin facilitated and reduced the neuritic distribution of endogenous mGluR5 in cultured hippocampal neurons, respectively. The results indicate that tamalin plays a key role in the association of group 1 mGluRs with the ARF-specific GEF proteins and contributes to intracellular trafficking and the macromolecular organization of group 1 mGluRs at synapses.},
  author       = {Kitano, Jun and Kimura, Kouji and Yamazaki, Yoshimitsu and Soda, Takeshi and Shigemoto, Ryuichi and Nakajima, Yoshiaki and Nakanishi, Shigetada},
  issn         = {0270-6474},
  journal      = {Journal of Neuroscience},
  number       = {4},
  pages        = {1280 -- 1289},
  publisher    = {Society for Neuroscience},
  title        = {{Tamalin, a PDZ domain-containing protein, links a protein complex formation of group 1 metabotropic glutamate receptors and the guanine nucleotide exchange factor cytohesins}},
  doi          = {10.1523/JNEUROSCI.22-04-01280.2002},
  volume       = {22},
  year         = {2002},
}

@article{2614,
  abstract     = {Metabotropic glutamate receptors (mGluRs) from group III reduce glutamate release. Because these receptors reduce cAMP levels, we explored whether this signaling pathway contributes to release inhibition caused by mGluRs with low affinity for L-2-amino-4-phosphonobutyrate (L-AP4). In biochemical experiments with the population of cerebrocortical nerve terminals we find that L-AP4 (1 mM) inhibited the Ca2+dependent-evoked release of glutamate by 25%. This inhibitory effect was largely prevented by the pertussis toxin but was insensitive to inhibitors of protein kinase C bisindolylmaleimide and protein kinase A H-89. Furthermore, this inhibition was associated with reduction in N-type Ca2+ channel activity in the absence of any detectable change in cAMP levels. In the presence of forskolin, however, L-AP4 decreased the levels of cAMP. The activation of this additional signaling pathway was very efficient in counteracting the facilitation of glutamate release induced either by forskolin or the β-adrenergic receptor agonist isoproterenol. Imaging experiments to measure Ca2+ dynamics in single nerve terminals showed that L-AP4 strongly reduced the Ca2+ response in 28% of the nerve terminals. Moreover, immunochemical experiments showed that 25-35% of the nerve terminals that were immunopositive to synaptophysin were also immunoreactive to the low affinity L-AP4-sensitive mGluR7. Then, mGluR7 mediates the inhibition of glutamate release caused by 1 mM L-AP4, primarily by a strong inhibition of Ca2+ channels, although high cAMP uncovers the receptor ability to decrease cAMP.},
  author       = {Millán, Carmelo and Luján, Rafael and Shigemoto, Ryuichi and Sánchez Prieto, José},
  issn         = {0021-9258},
  journal      = {Journal of Biological Chemistry},
  number       = {16},
  pages        = {14092 -- 14101},
  publisher    = {American Society for Biochemistry and Molecular Biology},
  title        = {{The inhibition of glutamate release by metabotropic glutamate receptor 7 affects both [Ca2+]c and cAMP. Evidence for a strong reduction of Ca2+ entry in single nerve terminals}},
  doi          = {10.1074/jbc.M109044200},
  volume       = {277},
  year         = {2002},
}

@article{2615,
  abstract     = {Taste-mGluR4, cloned from taste tissues, is a truncated variant of brain-expressed mGluR4a (brain-mGluR4), and is known to be a candidate for the receptor involved in the umami taste sense. Although the expression patterns of taste- and brain-mGluR4 mRNAs have been demonstrated, no mention has so far been made of the expression of these two mGluR4 proteins in taste tissues. The present study examined the expression of taste-mGluR4 and brain-mGluR4 proteins in rat taste tissues by using a specific antibody for mGluR4a which shared a C-terminus of both taste- and brain-mGluR4, for immunoblot analysis and immunohistochemistry. Immunoblot analysis showed that both brain-mGluR4 and taste-mGluR4 were expressed in the taste tissues. Taste-mGluR4 was not detected in the cerebellum. The immunoreactive band for brain-mGluR4 protein was much stronger than that for taste-mGluR4 protein. In the cryosections of fungiform, foliate and circumvallate papillae, the antibody against taste-mGluR4 exhibited intense labeling of the taste pores and taste hairs in all the taste buds of gustatory papillae examined; the immunoreaction to the antibody against brain-mGluR4 was more intense at the same sites of the taste buds. The portions of the taste bud cells below the taste pore and surrounding keratinocytes did not show any immunoreactivities. The results of the present study strongly suggest that, in addition to taste-mGluR4, brain-mGluR4 may function even more importantly than the former as a receptor for glutamate, i.e. the umami taste sensation.},
  author       = {Toyono, Takashi and Seta, Yuji and Sataoka, Shinji and Harada, Harumi and Morotomi, Takahiko and Kawano, Shintaro and Shigemoto, Ryuichi and Toyoshima, Kuniaki},
  issn         = {0914-9465},
  journal      = {Archives of Histology and Cytology},
  number       = {1},
  pages        = {91 -- 96},
  publisher    = {Japan Society of Histological Documentation},
  title        = {{Expression of the metabotropic glutamate receptor, mGluR4a, in the taste hairs of taste buds in rat gustatory papillae}},
  doi          = {10.1679/aohc.65.91},
  volume       = {65},
  year         = {2002},
}

@article{2616,
  abstract     = {Neurons in the rat cerebral cortex are enriched in group I metabotropic glutamate receptor (mGluR) subtypes and respond to their activation during development. To understand better the mechanisms by which mGluR1 and mGluR5 mediate these effects, the goal of this study was to elucidate the expression pattern and to determine the cellular and the precise subcellular localization of these two receptor subtypes in the rat neocortex and hippocampus during late prenatal and postnatal development. At the light microscopic level, mGluR1 α and mGluR5 were first detected in the cerebral cortex with different expression levels at embryonic day E18. Thus, mGluR5 had a moderate expression, whereas mGluR1 α was detected as a diffuse and weak labeling. mGluR5 was localized in some Cajal-Retzius cells as well as in other cell types, such as pioneer neurons of the marginal zone. During postnatal development, the distribution of the receptors dramatically changed. From P0 to around P10, mGluR1α was localized in identified, transient Cajal-Retzius cells of neocortex and hippocampus, until these cells disappear. In addition, a population of interneurons localized the receptor from the second/third postnatal week. In contrast, mGluR5 was localized mainly in pyramidal cells and in some interneurons, with a neuropilar staining throughout the cerebral cortex. At the electron microscopic level, the immunoreactivity for both group I mGluR subtypes was expressed postsynaptically. Using immunogold methods, mGluR1α and mGluR5 immunoreactivities were found throughout postnatal development at the edge of postsynaptic specialization of asymmetrical synapses. These results show that the two group I mGluRs have a differential expression pattern in neocortex and hippocampus that may suggest roles for the receptors in the early processing of cortical information and in the control of cortical developmental events.},
  author       = {López Bendito, Guillermina and Shigemoto, Ryuichi and Fairén, Alfonso and Luján, Rafael},
  issn         = {1047-3211},
  journal      = {Cerebral Cortex},
  number       = {6},
  pages        = {625 -- 638},
  publisher    = {Oxford University Press},
  title        = {{Differential distribution of group I metabotropic glutamate receptors during rat cortical development}},
  doi          = {10.1093/cercor/12.6.625},
  volume       = {12},
  year         = {2002},
}

@article{2617,
  abstract     = {Synapses exhibit different short-term plasticity patterns and this behaviour influences information processing in neuronal networks. We tested how the short-term plasticity of excitatory postsynaptic currents (EPSCs) depends on the postsynaptic cell type, identified by axonal arborizations and molecular markers in the hippocampal CA1 area. Three distinct types of short-term synaptic behaviour (facilitating, depressing and combined facilitating-depressing) were defined by fitting a dynamic neurotransmission model to the data. Approximately 75 % of the oriens-lacunosum-moleculare (O-LM) interneurones received facilitating EPSCs, but in three of 12 O-LM cells EPSCs also showed significant depression. Over 90 % of the O-LM cells were immunopositive for somatostatin and mGluR1α and all tested cells were decorated by strongly mGluR7a positive axon terminals. Responses in eight of 12 basket cells were described well with a model involving only depression, but the other cells displayed combined facilitating-depressing EPSCs. No apparent difference was found between the plasticity of EPSCs in cholecystokinin- or parvalbumin-containing basket cells. In oriens-bistratified cells (O-Bi), two of nine cells showed facilitating EPSCs, another two depressing, and the remaining five cells combined facilitating-depressing EPSCs. Seven of 10 cells tested for somatostatin were immunopositive, but mGluR1α was detectable only in two of 11 tested cells. Furthermore, most O-Bi cells projected to the CA3 area and the subiculum, as well as outside the hippocampal formation. Postsynaptic responses to action potentials recorded in vivo from a CA1 place cell were modelled, and revealed great differences between and within cell types. Our results demonstrate that the short-term plasticity of EPSCs is cell type dependent, but with significant heterogeneity within all three interneurone populations.},
  author       = {Losonczy, Attila and Zhang, Limei and Ryuichi Shigemoto and Somogyi, Péter and Nusser, Zoltán},
  journal      = {Journal of Physiology},
  number       = {1},
  pages        = {193 -- 210},
  publisher    = {Wiley-Blackwell},
  title        = {{Cell type dependence and variability in the short-term plasticity of EPSCs in identified mouse hippocampal interneurones}},
  doi          = {10.1113/jphysiol.2002.020024},
  volume       = {542},
  year         = {2002},
}

@article{2618,
  abstract     = {The unipolar brush cell (UBC) is a type of glutamatergic interneuron in the granular layer of the cerebellum. The UBC brush and a single mossy fiber (MF) terminal contact each other within a cerebellar glomerulus, forming a giant synapse. Many UBCs receive input from extrinsic MFs, whereas others are innervated by intrinsic mossy terminals formed by the axons of other UBCs. In all mammalian species so far examined, the vestibulocerebellum is enriched of UBCs that are strongly immunoreactive for the calcium binding protein calretinin (CR) in both the somatodendritic and axonal compartment. UBCs have postsynaptic ionotropic glutamate receptors and extrasynaptic metabotropic glutamate receptors that immunocytochemically highlight their somatodendritic compartment and brush, respectively. In this study on the mouse cerebellum, we present evidence that immunoreactivities to CR and mGluR1α define two distinct UBC subsets with partly overlapping distributions in lobule X (the nodulus). In sections double-labeled for CR and mGluR1α, the patterns of distributions of CR+/mGluR1α- UBCs and CR-/mGluR1α+ UBCs differed along the mediolateral and dorsoventral axes of the folium. Moreover, mGluR1α+ UBCs outnumbered CR+ UBCs. Both UBC subsets were mGluR2/3, GluR2/3, and NMDAR1 immunoreactive. The different distribution patterns of the two UBC subsets within lobule X suggest that expression of CR or mGluR1α by UBCs may be afferent-specific and related to the terminal fields of different vestibular MF afferents.},
  author       = {Nunzi, Maria and Shigemoto, Ryuichi and Mugnaini, Enrico},
  issn         = {0021-9967},
  journal      = {Journal of Comparative Neurology},
  number       = {2},
  pages        = {189 -- 199},
  publisher    = {Wiley-Blackwell},
  title        = {{Differential expression of calretinin and metabotropic glutamate receptor mGluR1α defines subsets of unipolar brush cells in mouse cerebellum}},
  doi          = {10.1002/cne.10344},
  volume       = {451},
  year         = {2002},
}

@article{2619,
  abstract     = {The release of glutamate and GABA is modulated by presynaptic metabotropic glutamate receptors (mGluRs). We used immunocytochemical methods to define the location of the group III receptor mGluR7a in glutamatergic and GABAergic terminals innervating GABAergic interneurons and pyramidal cells. Immunoreactivity for mGluR7a was localized in the presynaptic active zone of both identified GABAergic and presumed glutamatergic terminals. Terminals innervating dendritic spines showed a variable level of receptor immunoreactivity, ranging from immunonegative to strongly immunopositive. The frequency of strongly mGluR7a positive terminals innervating the soma and dendrites of mGluR1α/somatostatin-expressing interneurons was very high relative to other neurons. On dendrites that received mGluR7a-enriched glutamatergic innervation, at least 80% of GABAergic terminals were immunopositive for mGluR7a. On such dendrites virtually all (95%) vasoactive intestinal polypeptide (VIP) positive (GABAergic) terminals were enriched in mGluR7a. The targets of VIP/mGluR7a-expressing terminals were mainly (88%) mGluR1α-expressing interneurons, which were mostly somatostatin immunopositive. Parvalbumin positive terminals were immunonegative for mGluR7a. Some parvalbumin immunoreactive dendrites received strongly mGluR7a positive terminals. The subcellular location, as well as the cell type and synapse-specific distribution of mGluR7a in isocortical neuronal circuits, is homologous to its distribution in the hippocampus. The specific location of mGluR7a in the presynaptic active zone of both glutamatergic and GABAergic synapses may be related to the proximity of calcium channels and the vesicle fusion machinery. The enrichment of mGluR7a in the main GABAergic, as well as in the glutamatergic, innervation of mGluR1α/somatostatin-expressing interneurons suggests that their activation is under unique regulation by extracellular glutamate.},
  author       = {Dalezios, Yannis and Luján, Rafael and Shigemoto, Ryuichi and Roberts, John and Somogyi, Péter},
  issn         = {1047-3211},
  journal      = {Cerebral Cortex},
  number       = {9},
  pages        = {961 -- 974},
  publisher    = {Oxford University Press},
  title        = {{Enrichment of mGluR7a in the Presynaptic active zones of GABAergic and Non-GABAergic terminals on interneurons in the rat somatosensory cortex}},
  doi          = {10.1093/cercor/12.9.961},
  volume       = {12},
  year         = {2002},
}

@article{2620,
  abstract     = {An ion channel's function depends largely on its location and density on neurons. Here we used high-resolution immunolocalization to determine the subcellular distribution of the hyperpolarization-activated and cyclic-nucleotide-gated channel subunit 1 (HCN1) in rat brain. Light microscopy revealed graded HCN1 immunoreactivity in apical dendrites of hippocampal, subicular and neocortical layer-5 pyramidal cells. Quantitative comparison of immunogold densities showed a 60-fold increase from somatic to distal apical dendritic membranes. Distal dendritic shafts had 16 times more HCN1 labeling than proximal dendrites of similar diameters. At the same distance from the soma, the density of HCN1 was significantly higher in dendritic shafts than in spines. Our results reveal the complex cell surface distribution of voltage-gated ion-channels, and predict its role in increasing the computational power of single neurons via subcellular domain and input-specific mechanisms.},
  author       = {Lörincz, Andrea and Notomi, Takuya and Tamás, Gábor and Shigemoto, Ryuichi and Nusser, Zoltán},
  issn         = {1097-6256},
  journal      = {Nature Neuroscience},
  number       = {11},
  pages        = {1185 -- 1193},
  publisher    = {Nature Publishing Group},
  title        = {{Polarized and compartment-dependent distribution of HCN1 in pyramidal cell dendrites}},
  doi          = {10.1038/nn962},
  volume       = {5},
  year         = {2002},
}

@article{2621,
  abstract     = {The release properties of glutamatergic nerve terminals are influenced by a number of factors, including the subtype of voltage-dependent calcium channel and the presence of presynaptic autoreceptors. Group III metabotropic glutamate receptors (mGluRs) mediate feedback inhibition of glutamate release by inhibiting Ca2+ channel activity. By imaging Ca2+ in preparations of cerebrocortical nerve terminals, we show that voltage-dependent Ca2+ channels are distributed in a heterogeneous manner in individual nerve terminals. Presynaptic terminals contained only N-type (47.5%; conotoxin GVIA-sensitive), P/Q-type (3.9%; agatoxin IVA-sensitive), or both N- and P/Q-type (42.6%) Ca2+ channels, although the remainder of the terminals (6.1%) were insensitive to these two toxins. In this preparation, two mGluRs with high and low affinity for L(+)-2-amino-4-phosphonobutyrate were identified by immunocytochemistry as mGluR4 and mGluR7, respectively. These receptors were responsible for 22.2 and 24.1% reduction of glutamate release, and they reduced the Ca2+ response in 24.4 and 30.3% of the nerve terminals, respectively. Interestingly, mGluR4 was largely (73.7%) located in nerve terminals expressing both N- and P/Q-type Ca2+ channels, whereas mGluR7 was predominantly (69.9%) located in N-type Ca2+ channel-expressing terminals. This specific coexpression of different group III mGluRs and Ca2+ channels may endow synaptic terminals with distinct release properties and reveals the existence of a high degree of presynaptic heterogeneity.},
  author       = {Millán, Carmelo and Luján, Rafael and Shigemoto, Ryuichi and Sánchez Prieto, José},
  issn         = {0021-9258},
  journal      = {Journal of Biological Chemistry},
  number       = {49},
  pages        = {47796 -- 47803},
  publisher    = {American Society for Biochemistry and Molecular Biology},
  title        = {{Subtype-specific expression of Group III metabotropic glutamate receptors and Ca2+ channels in single nerve terminals}},
  doi          = {10.1074/jbc.M207531200},
  volume       = {277},
  year         = {2002},
}

@article{2622,
  abstract     = {To understand the possible contribution of metabotropic γ-aminobutyric acid receptors (GABABR) in cortical development, we investigated the expression pattern and the cellular and subcellular localization of the GABABR1 and GABABR2 subtypes in the rat neocortex from embryonic day 14 (E14) to adulthood. At the light microscopic level, both GABABR1 and GABABR2 were detected as early as E14. During prenatal development, both subtypes were expressed highly in the cortical plate. Using double immunofluorescence, GABABR1 colocalized with GABABR2 in neurons of the marginal zone and subplate, indicating that these proteins are coexpressed and could be forming functional GABABRs during prenatal development in vivo. In contrast, only GABABR1 but not GABABR2 was detected in the tangentially migratory cells in the lower intermediate zone. During postnatal development, immunoreactivity for GABABR1 and GABABR2 was distributed mainly in pyramidal cells. Discrete GABABR1-immunopositive cell bodies of interneurons were present throughout the neocortex. In addition, GABABR1 but not GABABR2 was found in identified Cajal-Retzius cells in layer I. At the electron microscopic level, immunoreactivity for GABABR1 and GABABR2 was found in dendritic spines and dendritic shafts at extrasynaptic and perisynaptic sites throughout postnatal development. We further demonstrated the presynaptic localization of GABABR1 and GABABR2, as well as the association of the receptors with asymmetrical synaptic junctions. These results indicate potentially important roles for the GABABRs in the regulation of migratory processes during corticogenesis and in the modulation of synaptic transmission during early development of cortical circuitry.},
  author       = {López Bendito, Guillermina and Shigemoto, Ryuichi and Kulik, Ákos and Paulsen, Ole and Fairén, Alfonso and Luján, Rafael},
  issn         = {0953-816X},
  journal      = {European Journal of Neuroscience},
  number       = {11},
  pages        = {1766 -- 1778},
  publisher    = {Wiley-Blackwell},
  title        = {{Expression and distribution of metabotropic GABA receptor subtypes GABABR1 and GABABR2 during rat neocortical development}},
  doi          = {10.1046/j.1460-9568.2002.02032.x},
  volume       = {15},
  year         = {2002},
}

@article{2624,
  abstract     = {Metabotropic γ-aminobutyric acid receptors (GABABRs) are involved in modulation of synaptic transmission and activity of cerebellar and thalamic neurons. We used subtype-specific antibodies in pre- and postembedding immunohistochemistry combined with three-dimensional reconstruction of labelled profiles and quantification of immunoparticles to reveal the subcellular distribution of pre- and postsynaptic GABABR1a/b and GABABR2 in the rat cerebellum and ventrobasal thalamus. GABABR1a/b and R2 were extensively colocalized in most brain regions including the cerebellum and thalamus. In the cerebellum, immunoreactivity for both subtypes was prevalent in the molecular layer. The most intense immunoreactivity was found in Purkinje cell spines with a high density of immunoparticles at extrasynaptic sites peaking at around 240 nm from glutamatergic synapses between spines and parallel fibre varicosities. This is in contrast to dendrites at sites around GABAergic synapses where sparse and random distribution was found for both subtypes. In addition, more than one-tenth of the synaptic membrane specialization of spine-parallel fibre synapses were labelled at pre- or postsynaptic sites. Weak immunolabelling for both subtypes was also seen in parallel fibres but only rarely in GABAergic axons. In the ventrobasal thalamus, immunolabelling for both receptor subtypes was intense over the dendritic field of thalamocortical cells. Electron microscopy demonstrated an extrasynaptic localization of GABABR1a/b and R2 exclusively in postsynaptic elements. Quantitative analysis further revealed the density of GABABR1a/b around GABAergic synapses was higher than glutamatergic synapses on thalamocortical cell dendrites. The distinct localization of GABABRs relative to synaptic sites in the cerebellum and ventrobasal thalamus suggests that GABABRs differentially regulate activity of different neuronal populations.},
  author       = {Kulik, Ákos and Nakadate, Kazuhiko and Nyíri, Gábor and Notomi, Takuya and Malitschek, Barbara and Bettler, Bernhard and Shigemoto, Ryuichi},
  issn         = {0953-816X},
  journal      = {European Journal of Neuroscience},
  number       = {2},
  pages        = {291 -- 307},
  publisher    = {Wiley-Blackwell},
  title        = {{Distinct localization of GABAB receptors relative to synaptic sites in the rat cerebellum and ventrobasal thalamus}},
  doi          = {10.1046/j.0953-816x.2001.01855.x},
  volume       = {15},
  year         = {2002},
}

@inbook{2694,
  abstract     = {We outline the status of rigorous derivations of certain classical evolution equations as limits of Schrödinger dynamics. We explain two recent results jointly with H.T. Yau in more details. The first one is the derivation of the linear Boltzmann equation as the long time limit of the one-body Schrödinger equation with a random potential. The second one is the mean field limit of high density bosons with Coulomb interaction that leads to the nonlinear Hartree equation.},
  author       = {Erdös, László},
  booktitle    = {Dynamics of Dissipation},
  isbn         = {9783540441113},
  pages        = {487 -- 506},
  publisher    = {Springer},
  title        = {{Scaling limits of Schrödinger quantum mechanics}},
  doi          = {10.1007/3-540-46122-1_19},
  year         = {2002},
}

@inproceedings{2708,
  author       = {László Erdös},
  pages        = {129 -- 133},
  publisher    = {World Scientific Publishing},
  title        = {{Two dimensional Pauli operator via scalar potential}},
  doi          = {10.1090/conm/307},
  volume       = {307},
  year         = {2002},
}

@article{2737,
  abstract     = {We derive the time-dependent Schrödinger–Poisson equation as the weak coupling limit of the N-body linear Schrödinger equation with Coulomb potential.},
  author       = {Bardos, Claude and Erdös, László and Golse, François and Mauser, Norbert and Yau, Horng},
  issn         = {1631-073X},
  journal      = {Comptes Rendus Mathematique},
  number       = {6},
  pages        = {515 -- 520},
  publisher    = {Elsevier},
  title        = {{Derivation of the Schrödinger-Poisson equation from the quantum N-body problem}},
  doi          = {10.1016/S1631-073X(02)02253-7},
  volume       = {334},
  year         = {2002},
}

@article{2738,
  abstract     = {We consider the long time evolution of a quantum particle weakly interacting with a phonon field. We show that in the weak coupling limit the Wigner distribution of the electron density matrix converges to the solution of the linear Boltzmann equation globally in time. The collision kernel is identified as the sum of an emission and an absorption term that depend on the equilibrium distribution of the free phonon modes.},
  author       = {Erdös, László},
  issn         = {0022-4715},
  journal      = {Journal of Statistical Physics},
  number       = {5-6},
  pages        = {1043 -- 1127},
  publisher    = {Springer},
  title        = {{Linear Boltzmann equation as the long time dynamics of an electron weakly coupled to a phonon field}},
  doi          = {10.1023/A:1015157624384},
  volume       = {107},
  year         = {2002},
}