TY - JOUR AB - We establish the exact low-energy asymptotics of the integrated density of states (Lifschitz tail) in a homogeneous magnetic field and Poissonian impurities with a repulsive single-site potential of Gaussian decay. It has been known that the Gaussian potential tail discriminates between the so-called “classical” and “quantum” regimes, and precise asymptotics are known in these cases. For the borderline case, the coexistence of the classical and quantum regimes was conjectured. Here we settle this last remaining open case to complete the full picture of the magnetic Lifschitz tails. AU - Erdös, László ID - 2735 IS - 2 JF - Probability Theory and Related Fields SN - 0044-3719 TI - Lifschitz tail in a magnetic field: Coexistence of classical and quantum behavior in the borderline case VL - 121 ER - TY - JOUR AB - In this paper we describe an intrinsically geometric way of producing magnetic fields on S3 and R3 for which the corresponding Dirac operators have a non-trivial kernel. In many cases we are able to compute the dimension of the kernel. In particular we can give examples where the kernel has any given dimension. This generalizes the examples of Loss and Yau [1]. AU - Erdös, László AU - Solovej, Jan ID - 2734 IS - 10 JF - Reviews in Mathematical Physics SN - 0129-055X TI - The kernel of Dirac operators on S3 and R3 VL - 13 ER - TY - JOUR AB - Research using animal models of neuropathic pain has revealed sympathetic sprouting onto dorsal root ganglion cells. More recently, sensory fibre sprouting onto dorsal root ganglion cells has also been observed. Previous work in our laboratory demonstrated persistent sympathetic fibre sprouting in the skin of the rat lower lip following sensory denervation of this region. Therefore, we applied immunocytochemistry to determine the effects of sympathectomies on the terminal fields of sensory fibres. The superior cervical ganglia were removed bilaterally and the effects on the innervation of the skin of the rat lower lip were observed 1, 2, 3, 4, 6 and 8 weeks post-surgery. Substance P and dopamine-β-hydroxylase immunoreactivities were used to identify a subset of sensory and sympathetic fibres, respectively. We also assessed neurokinin-1 receptor immunoreactivity. Quantitative data was obtained with the aid of an image analysis system. In controls, the epidermis and upper dermis were innervated by substance P-immunoreactive fibres only and upper dermal blood vessels possessed the highest density of neurokinin-1 receptor immunoreactivity. Blood vessels in the lower dermis were innervated by both substance P- and dopamine-β-hydroxylase-immunoreactive fibres. Following sympathectomies, substance P-immunoreactive fibres in the epidermis and upper dermis were more intensely labelled only 1 and 2 weeks post-surgery when compared to sham controls. The length of substance P-immunoreactive fibres in this region was also increased only on the second week. Neurokinin-1 receptor immunoreactivity in the upper dermis was slightly decreased 1 and 2 weeks post-surgery. In the lower dermis, substance P-immunoreactive fibres associated with blood vessels were more intensely labelled only 1 and 2 weeks post-surgery, and at all post-surgical time points studied, blood vessels in this region were devoid of dopamine-β-hydroxylase-immunoreactive fibres. The length of substance P-immunoreactive fibres was increased from the first to the third week post-surgery in the lower dermis. These results indicate that sympathectomies lead to transient changes in substance P-immunoreactive fibre innervation and neurokinin-1 receptor expression in rat lower lip skin. The effects are most prominent in the lower dermis probably due to a greater local concentration of nerve growth factor in this region. The plasticity of the interactions between sensory and sympathetic fibres may prove important in the regulation of skin microcirculation and in the generation of painful sensations under normal conditions or following peripheral nerve injuries. AU - Ruocco, Isabella AU - Cuello, Augusto AU - Shigemoto, Ryuichi AU - Ribeiro Da Silva, Alfredo ID - 2611 IS - 1 JF - Neuroscience SN - 0306-4522 TI - Sympathectomies lead to transient substance P-immunoreactive sensory fibre plasticity in the rat skin VL - 108 ER - TY - JOUR AB - We examined immunoreactivities for γ-aminobutyric acidB-receptor (GABABR) subtypes, GABABR1 and GABABR2, in the mesencephalic trigeminal nucleus neurons (MTN neurons) of the rat. Immunoreactivity for GABABR1 was prominent in cell bodies of MTN, whereas that for GABABR2 was very weak, if existed. For electron microscopy, the immunogold-silver method for GABABR1 was combined with the immunoperoxidase method for glutamic acid decarboxylase (GAD: the synthetic enzyme of GABA). Immunogold-silver particles indicating GABABR1 immunoreactivity were distributed widely in the cytoplasm of the cell bodies postsynaptic to GAD-immunoreactive axon terminals, but were rarely associated with synaptic membrane specialization or extrasynaptic sites of plasma membrane. It has been indicated that GABABR1 may not be transported to plasma membrane when no GABABR2 exists. Thus, it was presumed that GABABR1 in the cell body of the rat MTN neurons might not be involved in the synaptic transmission. AU - Li, Jin AU - Shigemoto, Ryuichi AU - Kulik, Ákos AU - Chen, Peng AU - Nomura, Sakashi AU - Kaneko, Takeshi AU - Mizuno, Noboru ID - 2612 IS - 1-2 JF - Neuroscience Letters SN - 0304-3940 TI - Immunocytochemical localization of GABAB receptors in mesencephalic trigeminal nucleus neurons in the rat VL - 315 ER - TY - CHAP AU - Erdös, László ID - 2709 SN - 9781571460851 T2 - 13th International Congress of Mathematical Physics TI - Long time dynamics of an electron in a weakly coupled phonon field ER - TY - JOUR AB - To study the role of mGlu7 receptors (mGluR7), we used homologous recombination to generate mice lacking this metabotropic receptor subtype (mGluR7 -/-). After the serendipitous discovery of a sensory stimulus-evoked epileptic phenotype, we tested two convulsant drugs, pentylenetetrazole (PTZ) and bicuculline. In animals aged 12 weeks and older, subthreshold doses of these drugs induced seizures in mGluR7 -/-, but not in mGluR7 +/-, mice. PTZ-induced seizures were inhibited by three standard anticonvulsant drugs, but not by the group III selective mGluR agonist (R,S)-4-phosphonophenylglycine (PPG). Consistent with the lack of signs of epileptic activity in the absence of specific stimuli, mGluR7 -/- mice showed no major changes in synaptic properties in two slice preparations. However, slightly increased excitability was evident in hippocampal slices. In addition, there was slower recovery from frequency facilitation in cortical slices, suggesting a role for mGluR7 as a frequency-dependent regulator in presynaptic terminals. Our findings suggest that mGluR7 receptors have a unique role in regulating neuronal excitability and that these receptors may be a novel target for the development of anticonvulsant drugs. AU - Sansig, Gilles AU - Bushell, Trevor AU - Clarke, Vernon AU - Rozov, Andrei AU - Burnashev, Nail AU - Portet, Chantal AU - Gasparini, Fabrizio AU - Schmutz, Markus AU - Klebs, Klaus AU - Shigemoto, Ryuichi AU - Flor, Peter AU - Kühn, Rainer AU - Knoepfel, Thomas AU - Schroeder, Markus AU - Hampson, David AU - Collett, Valerie AU - Zhang, Congxiao AU - Duvoisin, Robert AU - Collingridge, Graham AU - Van Der Putten, Herman ID - 2610 IS - 22 JF - Journal of Neuroscience SN - 0270-6474 TI - Increased seizure susceptibility in mice lacking metabotropic glutamate receptor 7 VL - 21 ER - TY - JOUR AB - The metabotropic glutamate receptors (mGluRs) have distinct distribution patterns in the CNS but subtypes within group I or group III mGluRs share similar ultrastructural localization relative to neurotransmitter release sites: group I mGluRs are concentrated in an annulus surrounding the edge of the postsynaptic density, whereas group III mGluRs are concentrated in the presynaptic active zone. One of the group II subtypes, mGluR2, is expressed in both pre- and postsynaptic elements, having no close association with synapses. In order to determine if such a distribution is common to another group II subtype, mGluR3, an antibody was raised against a carboxy-terminus of mGluR3 and used for light and electron microscopic immunohistochemistry in the mouse CNS. The antibody reacted strongly with mGluR3, but it also reacted, though only weakly, with mGluR2. Therefore, to examine mGluR3-selective distribution, we used mGluR2-deficient mice as well as wild-type mice. Strong immunoreactivity for mGluR3 was found in the cerebral cortex, striatum, dentate gyrus of the hippocampus, olfactory tubercle, lateral septal nucleus, lateral and basolateral amygdaloid nuclei, and nucleus of the lateral olfactory tract. Pre-embedding immunoperoxidase and immunogold methods revealed mGluR3 labeling in both presynaptic and postsynaptic elements, and also in glial profiles. Double labeling revealed that the vast majority of mGluR3 in presynaptic elements is not closely associated with glutamate and GABA release sites in the striatum and thalamus, respectively. However, in the spines of the dentate granule cells, the highest receptor density was found in perisynaptic sites (20% of immunogold particles within 60 nm from the edge of postsynaptic membrane specialization) followed by a decreasing receptor density away from the synapses (to ∼5% of particles per 60 nm). Furthermore, 19% of immunogold particles were located in asymmetrical postsynaptic specialization, indicating an association of mGluR3 to glutamatergic synapses. The present results indicate that the localization of mGluR3 is rather similar to that of group I mGluRs in the postsynaptic elements, suggesting a unique functional role of mGluR3 in glutamatergic neurotransmission in the CNS. AU - Tamaru, Y AU - Nomura, Sakashi AU - Mizuno, Noboru AU - Shigemoto, Ryuichi ID - 2609 IS - 3 JF - Neuroscience SN - 0306-4522 TI - Distribution of metabotropic glutamate receptor mGluR3 in the mouse CNS: Differential location relative to pre- and postsynaptic sites VL - 106 ER - TY - JOUR AB - The regulation of neurotransmitter receptors during synapse formation has been studied extensively at the neuromuscular junction, but little is known about the development of excitatory neurotransmitter receptors during synaptogenesis in central synapses. In this study we show qualitatively and quantitatively that a receptor undergoes changes in localisation on the surface of rat Purkinje cells during development in association with its excitatory synapses. The presence of mGluR1α at parallel and climbing fibre synapses on developing Purkinje cells was studied using high-resolution immunoelectron microscopy. Immunoreactivity for mGluR1α was detected from embryonic day 18 in Purkinje cells, and showed dramatic changes in its localisation with age. At early postnatal ages (P0 and P3), mGluR1α was found both in somata and stem dendrites but was not usually associated with synaptic contacts. At P7, mGluR1α became concentrated in somatic spines associated with climbing fibres and in the growing dendritic arborisation even before innervation by parallel fibres. During the second and third postnatal week, when spines and parallel fibre synapses were generated, mGluR1α became progressively concentrated in the molecular layer, particularly in the synaptic specialisations. As a result, during the fourth postnatal week, the pattern and level of mGluR1α expression became similar to the adult and mGluR1α appeared in high density in perisynaptic sites. Our results indicate that mGluR1α is present in the developing Purkinje cells prior to their innervation by climbing and parallel fibres and demonstrate that this receptor undergoes a dynamic and specific regulation during postnatal development in association with the establishment of synaptic inputs to Purkinje cell. AU - López Bendito, Guillermina AU - Shigemoto, Ryuichi AU - Luján, Rafael AU - Juíz, José ID - 2608 IS - 2 JF - Neuroscience SN - 0306-4522 TI - Developmental changes in the localisation of the mGluR1α subtype of metabotropic glutamate receptors in Purkinje cells VL - 105 ER - TY - JOUR AB - Alternative splicing in the mGluR5 gene generates two different receptor isoforms, of which expression is developmentally regulated. However, little is known about the functional significance of mGluR5 splice variants. We have examined the functional coupling, subcellular targeting, and effect on neuronal differentiation of epitope-tagged mGluR5 isoforms by expression in neuroblastoma NG108-15 cells. We found that both mGluR5 splice variants give rise to comparable [Ca2+]i transients and have similar pharmacological profile. Tagged receptors were shown by immunofluorescence to be inserted in the plasma membrane. In undifferentiated cells the subcellular localization of the two mGluR5 isoforms was partially segregated, whereas in differentiated cells the labeling largely redistributed to the newly formed neurites. Interestingly, we demonstrate that mGluR5 splice variants dramatically influence the formation and maturation of neurites; mGluR5a hinders the acquisition of mature neuronal traits and mGluR5b fosters the elaboration and extension of neurites. These effects are partly inhibited by MPEP. AU - Mion, Silvia AU - Corti, Corrado AU - Neki, Akio AU - Shigemoto, Ryuichi AU - Corsi, Mauro AU - Fumagalli, Guido AU - Ferraguti, Francesco ID - 2607 IS - 6 JF - Molecular and Cellular Neuroscience SN - 1044-7431 TI - Bidirectional regulation of neurite elaboration by alternatively spliced metabotropic glutamate receptor 5 (mGluR5) isoforms VL - 17 ER - TY - JOUR AB - The granular layer of the cerebellar cortex consists of densely packed neuronal cells, classified into granule cells and large interneurons. In this study, we provide a comparative survey of large granular layer interneurons in the adult rat cerebellum based on both morphological and neurochemical criteria. To this end, double immunofluorescence histochemistry was performed by combining antibodies against the cytoplasmic antigen Rat-303, calretinin, the metabotropic glutamate receptor mGluR2 and somatostatin. Based on Rat-303/calretinin double immunohistochemistry, three distinct populations of large granular layer interneurons could be discerned: cells immunopositive for Rat-303, calretinin or both. Rat-303 or calretinin single-labeled cells represented Golgi cells and unipolar brush cells, respectively. Rat-303/calretinin double-labeled cells located just underneath the Purkinje cell layer represented Lugaro cells. Morphometrical analysis distinguished two populations of Rat-303-positive Golgi cells according to their location: vermis versus hemisphere. Immunostaining for the metabotropic glutamate receptor mGluR2 combined with Rat-303 or calretinin revealed that the majority of Golgi cells (about 90%) appeared to be mGluR2 positive. Lugaro cells were mGluR2 negative. In addition, a limited population of large polymorphous interneurons in the depth of the granular layer with morphological features resembling Golgi cells also displayed Rat-303/calretinin immunoreactivity and were mGluR2 negative. Double immunohistochemistry for Rat-303 and somatostatin revealed three populations of labeled cells in the depth of the granular layer. Besides double-labeled Golgi cells, Rat-303 or somatostatin single-labeled cells were present. Based on mGluR2/somatostatin and calretinin/somatostatin double immunostainings, Rat-303 single-labeled cells were found to correspond to Rat-303/calretinin-positive, mGluR2-negative Golgi-like cells, while the identity of somatostatin single-labeled cells remained unclear. The data presented in this article elaborate previous reports on the morphological and neurochemical differentiation of large interneurons in the rat cerebellar granular layer. In addition, they indicate that the current classification of these cells into Golgi cells, Lugaro cells and unipolar brush cells does not describe the observed neurochemical heterogeneity. AU - Geurts, Frederik AU - Timmermans, Jean AU - Shigemoto, Ryuichi AU - De Schutter, Erik ID - 2605 IS - 2 JF - Neuroscience SN - 0306-4522 TI - Morphological and neurochemical differentiation of large granular layer interneurons in the adult rat cerebellum VL - 104 ER - TY - JOUR AB - Cutaneous antidromic vasodilatation and plasma extravasation, two phenomena that occur in neurogenic inflammation, are partially blocked by substance P (SP) receptor antagonists and are known to be mediated in part by mast cell-released substances, such as histamine, serotonin, and nitric oxide. In an attempt to provide a morphological substrate for the above phenomena, we applied light and electron microscopic immunocytochemistry to investigate the pattern of SP innervation of blood vessels and its relationship to mast cells in the skin of the rat lower lip. Furthermore, we examined the distribution of SP (neurokinin-1) receptors and their relationship to SP-immunoreactive (IR) fibers. Our results confirmed that SP-IR fibers are found in cutaneous nerves and that terminal branches are observed around blood vessels and penetrating the epidermis. SP-IR fibers also innervated hair follicles and sebaceous glands. At the ultrastructural level, SP-IR varicosities were observed adjacent to arterioles, capillaries, venules, and mast cells. The varicosities possessed both dense core vesicles and agranular synaptic vesicles. We quantified the distance between SP-IR varicosities and blood vessel endothelial cells. SP-IR terminals were located within 0.23-5.99 μm from the endothelial cell layer in 82.7% of arterioles, in 90.2% of capillaries, and in 86.9% of venules. Although there was a trend for SP-IR fibers to be located closer to the endothelium of venules, this difference was not significant. Neurokinin-1 receptor (NK-1r) immunoreactivity was most abundant in the upper dermis and was associated with the wall of blood vessels. NK-1r were located in equal amounts on the walls of arterioles, capillaries, and venules that were innervated by SP-IR fibers. The present results favor the concept of a participation of SP in cutaneous neurogenic vasodilatation and plasma extravasation both by an action on blood vessels after binding to the NK-1r and by causing the release of substances from mast cells after diffusion through the connective tissue. AU - Ruocco, Isabella AU - Cuello, Augusto AU - Shigemoto, Ryuichi AU - Ribeiro Da Silva, Alfredo ID - 2604 IS - 4 JF - Journal of Comparative Neurology SN - 0021-9967 TI - Light and electron microscopic study of the distribution of substance P-immunoreactive fibers and neurokinin-1 receptors in the skin of the rat lower lip VL - 432 ER - TY - JOUR AB - Glutamate receptors have been linked to the regulation of several developmental events in the CNS. By using cortical slices of early postnatal mice, we show that in layer I cells, glutamate produces intracellular calcium ([Ca2+]i) elevations mediated by ionotropic and metabotropic glutamate receptors (mGluRs). The contribution of mGluRs to these responses was demonstrated by application of tACPD, an agonist to groups I and II mGluRs, which evoked [Ca2+]i increases that could be reversibly blocked by MCPG, an antagonist to groups I and II mGluRs. In the absence of extracellular Ca2+, repetitive applications of tACPD or quisqualate, an agonist to group I mGluRs, elicited decreasing [Ca2+]i responses that were restored by refilling a thapsigargin-sensitive Ca2+ store. The use of specific group I mGluR agonists CHPG and DHPG indicated that the functional mGluR in layer I was of the mGluR1 subtype. Subtype specific antibodies confirmed the presence of mGlur1α, but not mGluR5, in Cajal-Retzius (Reelin-immunoreactive) neurons. AU - Martínez, Galán AU - López Bendito, Guillermina AU - Luján, Rafael AU - Shigemoto, Ryuichi AU - Fairén, Alfonso AU - Valdeolmillos, Miguel ID - 2606 IS - 6 JF - European Journal of Neuroscience SN - 0953-816X TI - Cajal-Retzius cells in early postnatal mouse cortex selectively express functional metabotropic glutamate receptors VL - 13 ER - TY - JOUR AB - For an absolutely continuous probability measure μ. on ℝd and a nonnegative integer k, let S̃k(μ, 0) denote the probability that the convex hull of k + d + 1 random points which are i.i.d. according to μ contains the origin 0. For d and k given, we determine a tight upper bound on S̃k(μ, 0), and we characterize the measures in ℝd which attain this bound. As we will see, this result can be considered a continuous analogue of the Upper Bound Theorem for the maximal number of faces of convex polytopes with a given number of vertices. For our proof we introduce so-called h-functions, continuous counterparts of h-vectors of simplicial convex polytopes. AU - Wagner, Uli AU - Welzl, Emo ID - 2419 IS - 2 JF - Discrete & Computational Geometry SN - 0179-5376 TI - A continuous analogue of the Upper Bound Theorem VL - 26 ER - TY - JOUR AB - This paper concerns the asymptotic ground state properties of heavy atoms in strong, homogeneous magnetic fields. In the limit when the nuclear charge Z tends to ∞ with the magnetic field B satisfying B ≫ Z4/3 all the electrons are confined to the lowest Landau band. We consider here an energy functional, whose variable is a sequence of one-dimensional density matrices corresponding to different angular momentum functions in the lowest Landau band. We study this functional in detail and derive various interesting properties, which are compared with the density matrix (DM) theory introduced by Lieb, Solovej and Yngvason. In contrast to the DM theory the variable perpendicular to the field is replaced by the discrete angular momentum quantum numbers. Hence we call the new functional a discrete density matrix (DDM) functional. We relate this DDM theory to the lowest Landau band quantum mechanics and show that it reproduces correctly the ground state energy apart from errors due to the indirect part of the Coulomb interaction energy. AU - Hainzl, Christian AU - Seiringer, Robert ID - 2348 IS - 1 JF - Communications in Mathematical Physics SN - 0010-3616 TI - A discrete density matrix theory for atoms in strong magnetic fields VL - 217 ER - TY - JOUR AB - We consider the ground state properties of an inhomogeneous two-dimensional Bose gas with a repulsive, short range pair interaction and an external confining potential. In the limit when the particle number N is large but ρ̅a 2 is small, where ρ̅ is the average particle density and a the scattering length, the ground state energy and density are rigorously shown to be given to leading order by a Gross–Pitaevskii (GP) energy functional with a coupling constant g~1/|1n(ρ̅a 2)|. In contrast to the 3D case the coupling constant depends on N through the mean density. The GP energy per particle depends only on Ng. In 2D this parameter is typically so large that the gradient term in the GP energy functional is negligible and the simpler description by a Thomas–Fermi type functional is adequate. AU - Lieb, Élliott AU - Seiringer, Robert AU - Yngvason, Jakob ID - 2347 IS - 1 JF - Communications in Mathematical Physics SN - 0010-3616 TI - A rigorous derivation of the Gross-Pitaevskii energy functional for a two-dimensional Bose gas VL - 224 ER - TY - JOUR AB - We give upper bounds for the number of spin-1/2 particles that can be bound to a nucleus of charge Z in the presence of a magnetic field B, including the spin-field coupling. We use Lieb's strategy, which is known to yield Nc < 2Z + 1 for magnetic fields that go to zero at infinity, ignoring the spin-field interaction. For particles with fermionic statistics in a homogeneous magnetic field our upper bound has an additional term of the order of Z × min {(B/Z3)2/5, 1 + | 1n(B/Z3)|2}. AU - Seiringer, Robert ID - 2345 IS - 9 JF - Journal of Physics A: Mathematical and General SN - 0305-4470 TI - On the maximal ionization of atoms in strong magnetic fields VL - 34 ER - TY - JOUR AB - We study the ground state properties of an atom with nuclear charge Z and N bosonic "electrons" in the presence of a homogeneous magnetic field B. We investigate the mean field limit N→∞ with N / Z fixed, and identify three different asymptotic regions, according to B≪Z2,B∼Z2,andB≫Z2 . In Region 1 standard Hartree theory is applicable. Region 3 is described by a one-dimensional functional, which is identical to the so-called Hyper-Strong functional introduced by Lieb, Solovej and Yngvason for atoms with fermionic electrons in the region B≫Z3 ; i.e., for very strong magnetic fields the ground state properties of atoms are independent of statistics. For Region 2 we introduce a general magnetic Hartree functional, which is studied in detail. It is shown that in the special case of an atom it can be restricted to the subspace of zero angular momentum parallel to the magnetic field, which simplifies the theory considerably. The functional reproduces the energy and the one-particle reduced density matrix for the full N-particle ground state to leading order in N, and it implies the description of the other regions as limiting cases. AU - Baumgartner, Bernhard AU - Seiringer, Robert ID - 2341 IS - 1 JF - Annales Henri Poincare SN - 1424-0637 TI - Atoms with bosonic "electrons" in strong magnetic fields VL - 2 ER - TY - JOUR AB - By means of a generalization of the Fefferman - de la Llave decomposition we derive a general lower bound on the interaction energy of one-dimensional quantum systems. We apply this result to a specific class of lowest Landau band wave functions. AU - Hainzl, Christian AU - Seiringer, Robert ID - 2346 IS - 2 JF - Letters in Mathematical Physics SN - 0377-9017 TI - Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics VL - 55 ER - TY - CONF AB - Recent experimental breakthroughs in the treatment of dilute Bose gases have renewed interest in their quantum mechanical description, respectively in approximations to it. The ground state properties of dilute Bose gases confined in external potentials and interacting via repulsive short range forces are usually described by means of the Gross-Pitaevskii energy functional. In joint work with Elliott H. Lieb and Jakob Yngvason its status as an approximation for the quantum mechanical many-body ground state problem has recently been rigorously clarified. We present a summary of this work, for both the two-and three-dimensional case. AU - Seiringer, Robert ED - Demuth, Michael ED - Schultze, Bert ID - 2340 SN - 9783034894838 TI - Bosons in a trap: Asymptotic exactness of the Gross-Pitaevskii ground state energy formula VL - 126 ER - TY - JOUR AB - In this Note we present pairs of hyperkähler orbifolds which satisfy two different versions of mirror symmetry. On the one hand, we show that their Hodge numbers (or more precisely, stringy E-polynomials) are equal. On the other hand, we show that they satisfy the prescription of Strominger, Yau, and Zaslow (which in the present case goes back to Bershadsky, Johansen, Sadov and Vafa): that a Calabi-Yau and its mirror should fiber over the same real manifold, with special Lagrangian fibers which are tori dual to each other. Our examples arise as moduli spaces of local systems on a curve with structure group SL(n); the mirror is the corresponding space with structure group PGL(n). The special Lagrangian tori come from an algebraically completely integrable Hamiltonian system: the Hitchin system. AU - Hausel, Tamas AU - Thaddeus, Michael ID - 1452 IS - 4 JF - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics SN - 0764-4442 TI - Examples of mirror partners arising from integrable systems VL - 333 ER -