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Random Conley-Markov Connection Matrix for Gradient Flows
Gradient Flows Random Conley-Markov Connection Matrix
2015/4/3
Morse Decomposition for Dynamical Systems on
compact metric spaces : φ : R × X → X, initiated by
Morse, was established by Morse, Smale, ect by using
the gradient–like flows for Morse decomposition...
Random Galois extensions of Hilbertian fields
Random Galois extensions Hilbertian fields Number Theory
2012/6/21
Let L be a Galois extension of a countable Hilbertian field K. Although L need not be Hilbertian, we prove that an abundance of large Galois subextensions of L/K are.
A Random Matrix Model for Elliptic Curve $L$-Functions of Finite Conductor
Elliptic Curves Low Lying Zeros n-Level Statistics Random Matrix Theory Jacobi Ensembles Characteristic Polynomial
2011/9/19
Abstract: We propose a random matrix model for families of elliptic curve L-functions of finite conductor. A repulsion of their critical zeros away from the center of the critical strip was observed b...
Perturbation approach to multifractal dimensions for certain critical random matrix ensembles
multifractal dimensions Perturbation random matrix ensembles
2011/7/6
Fractal dimensions of eigenfunctions for various critical random matrix ensembles are investigated in perturbation series in the regimes of strong and weak multifractality. In both regimes we obtain e...
Limits on the Stretch of Non-adaptive Constructions of Pseudo-Random Generators
Limits Non-adaptive Constructions Pseudo-Random Generators
2012/12/3
The standard approach for constructing a large-stretch pseudo-randomgenerator given a one-way permutation or given a smallerstretch pseudo-randomgenerator involves repeatedly composing the given primi...
An Efficient Voting Algorithm for Finding Additive Biclusters with Random Background
additive bicluster,computational biology, gene expression data analysis, polynomialtime algorithm, probability model.
2012/12/3
The biclustering problem has been extensively studied in many areas, including e-commerce,；data mining, machine learning, pattern recognition, statistics, and, more recently, computational；biology. Gi...
Markov random fields are often used to model high dimensional distributions in a number of applied areas. A number of recent papers have studied the problem of reconstructing a dependency graph of bou...
Precise rates in the law of iterated logarithm for the moment of I.I.D. random variables
the law of iterated logarithm strong approximation truncation method i.i.d. random variables
2007/12/12
Let $\{X, X_n; n\ge 1\}$ be a sequence of i.i.d. random variables, ${\rm E} X=0$, ${\rm E} X^2=\sigma^2<\infty$. Set $S_n=X_1+X_2+\cdots+X_n$, $M_n=\max_{k\le n}|S_k|$, $n\ge 1$. Let $a_n=O(1/\log\log...