custody
发表于 2025-3-30 08:36:17
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游行
发表于 2025-3-30 14:25:25
Level Spacings for Cayley Graphs,mong the Cayley graphs of ..(F.) that we consider are the new expander graphs recently discovered by Y. Shalom. In addition, we use a Markov chain method to generate random 4-regular graphs, and observe that the average eigenvalue spacings are closely approximated by the Wigner surmise.
难解
发表于 2025-3-30 19:11:38
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defray
发表于 2025-3-30 23:25:44
Multi-Threshold CMOS Digital Circuitsthods of spectral analysis, needed for high accuracy of eigenvalues and eigenstates calculations. In the second part of the talk we look at a completely different number-theoretic task—a construction of very regular, but still random, finite structures for new generation of computer chips and verification of chip designs.
苦笑
发表于 2025-3-31 04:33:41
https://doi.org/10.1007/978-1-4757-3115-6cal system is shown to be related to sums of integers to the power α/(α. 1). In particular, for α = 3/2, the periodic orbits are related to sums of cubes, for which one again expects number theoretic degeneracies, with consequences for the two point correlation function.
做事过头
发表于 2025-3-31 07:30:03
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记成蚂蚁
发表于 2025-3-31 11:18:31
Theta-Lifts of Maass Waveforms,complex upper half-plane, then ..:= ... is a compact Riemann surface. Furthermore, let Г.(.) ...(ℤ) be the Hecke congruence group of level .. Then ..:= Г.(.). is a non-compact Riemann surface with finite volume. Let △ be the hyperbolic Laplace-operator on .. In certain situations, it is known that i
啪心儿跳动
发表于 2025-3-31 16:09:21
,The Transfer Operator Approach to Selberg’s Zeta Function and Modular and Maass Wave Forms For , (2eterminant .(1 - ..) of the transfer operator .., . ∈ . for the geodesic flow on the modular surface, the zeros and poles of the Selberg function are closely related to those .values, where .. has an eigenvalue λ = 1 respectively where .. has poles. It turns out that the corresponding eigenfunctions