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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：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：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.
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作者：Graczyk, J; Swiatek, G
作者单位：Royal Institute of Technology; Pennsylvania Commonwealth System of Higher Education (PCSHE); Pennsylvania State University; Pennsylvania State University - University Park
摘要：The paper develops a technique for proving properties that are typical in the boundary of the connectedness locus with respect to the harmonic measure. A typical expansion condition along the critical orbit is proved. This condition implies a number of properties, including the Collet-Eckmann condition, Hausdorff dimension less than 2 for the Julia set, and the radial continuity in the parameter space of the Hausdorff dimensions of totally disconnected Julia sets.
