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作者:Kollár, J
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作者:Soshnikov, A
摘要:We study the level-spacings distribution for eigenvalues of large N x N matrices from the classical compact groups in the scaling limit when the mean distance between nearest eigenvalues equals 1. Defining by eta(N)(s) the number of nearest neighbors spacings greater than s > 0 (smaller than s > 0) we prove functional limit theorem for the process (eta(N)(s) - E eta(N)(s))/N-1/2, giving weak convergence of this distribution to some Gaussian random process on [0, infinity). The limiting Gaussia...
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作者:Ono, K; Skinner, C
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作者:Bayer-Fluckiger, E; Parimala, R
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作者:Martens, M
摘要:It will be shown that the renormalization operator, acting on the space of smooth unimodal maps with critical exponent alpha > 1, has periodic points of any combinatorial type.
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作者:Bruna, J; Charpentier, P; Dupain, Y
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作者:Veech, WA
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作者:Bedford, E; Smillie, J
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作者:Kobayashi, T
摘要:Let G' subset of G be real reductive Lie groups. This paper offers a criterion on the triplet (G, G', pi) that the irreducible unitary representation pi of G splits into a discrete sum of irreducible unitary representations of a subgroup G' when restricted to G', each of finite multiplicity. Furthermore, we shall give an upper estimate of the multiplicity of an irreducible unitary representation of G' occurring in pi \(G').
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作者:Ullmo, E