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作者：Jaksic, V; Last, Y
作者单位：University of Ottawa; Hebrew University of Jerusalem; California Institute of Technology
摘要：We study self adjoint operators of the form H-omega = H-0 + Sigma lambda(omega)(n) [delta(n), .] delta(n), where the delta(n),'s are a family of orthonormal vectors and the lambda(omega)(n)'s are independently distributed random variables with absolutely continuous probability distributions. We prove a general structural theorem saying that for each pair (n, m), if the cyclic subspaces corresponding to the vectors delta(n) and delta(m) are not completely orthogonal, then the restrictions of H-...
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作者：Shub, M; Wilkinson, A
作者单位：International Business Machines (IBM); IBM USA; Northwestern University
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作者：Duke, W; Kowalski, E
作者单位：Rutgers University System; Rutgers University New Brunswick
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作者：Dubrovin, B; Mazzocco, M
作者单位：International School for Advanced Studies (SISSA)
摘要：We study the global analytic properties of the solutions of a particular family of Painleve VI equations with the parameters beta = gamma = 0, delta = 1/2 and 2 alpha = (2 mu-1)(2) with arbitrary mu, 2 mu is not an element of Z. We introduce a class of solutions having critical behaviour of algebraic type, and completely compute the structure of the analytic continuation of these solutions in terms of an auxiliary reflection group in the three dimensional space. The analytic continuation is gi...
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作者：Benoist, Y
作者单位：Centre National de la Recherche Scientifique (CNRS); Universite PSL; Ecole Normale Superieure (ENS)
摘要：One studies the subgroups of GL(m, R) which preserve a properly convex cone of R-m and whose action on R-m is irreducible. In particular, one describes the Zariski closure of these subgroups. As an application, one describes the Zariski closure G of the subgroups of GL(m, R) all of whose elements have nothing but positive eigenvalues. For instance, one can get the group G = GL(m, R) if and only if m not equal 2 modulo 4.
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作者：Kowalski, E; Michel, P; VanderKam, J
作者单位：Princeton University; Universite de Montpellier; Institut Universitaire de France; Center for Communications & Computing
摘要：We compute the asymptotics of twisted fourth power moments of modular L-functions of large prime level near the critical line. This allows us to prove some new non-vanishing results on the central values of automorphic L-functions, in particular those obtained by base change from GL(2)(Q) to GL(2)(K) for K a cyclic field of low degree.
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作者：Auroux, D; Katzarkov, L
作者单位：Institut Polytechnique de Paris; Ecole Polytechnique; University of California System; University of California Irvine
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作者：Greenberg, R; Vatsal, V
作者单位：University of Washington; University of Washington Seattle; University of British Columbia
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作者：Baker, MH
作者单位：Harvard University
摘要：Let N greater than or equal to 23 be a prime number. In this paper, we prove a conjecture of Coleman, Kaskel, and Ribet about the (Q) over bar-valued points of the modular curve Xo(N) which map to torsion points on J(0)(N) via the cuspidal embedding. We give some generalizations to other modular curves, and to noncuspidal embeddings of X-0(N) into J(0)(N).
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作者：Peng, LG; Xiao, J
作者单位：Sichuan University; Tsinghua University
摘要：By using the Ringel-Hall algebra approach, we find a Lie algebra arising in each triangulated category with T-2 = 1, where T is the translation functor, In particular, the generic form of the Lie algebras determined by the root categories, the 2-period orbit categories of the derived categories of finite dimensional hereditary associative algebras, gives a realization of all symmetrizable Kac-Moody Lie algebras.
