Results 51 to 60 of about 135,156 (153)
Central limit theorem for first-passage percolation time across thin cylinders
, 2012 We prove that first-passage percolation times across thin cylinders of the form $[0,n]\times [-h_n,h_n]^{d-1}$ obey Gaussian central limit theorems as long as $h_n$ grows slower than $n^{1/(d+1)}$.
Chatterjee, Sourav, Dey, Partha S.
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, 2018 This is a translation of Harald Cramér's article, 'On a new limit theorem in probability theory', published in French in 1938 and deriving what is considered by mathematicians to be the first large deviation result. My hope is that this translation will help disseminate this historically important work, 80 years after its publication.
Cramér, Harald, Touchette, Hugo
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An analogue of Szego's limit theorem in free probability theory
, 2007 In the paper, we discuss orthogonal polynomials in free probability theory. Especially, we prove an analogue of of Szego's limit theorem in free probability theory.
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International Mathematics Research NoticesAbstract We provide a refined combinatorial identity for the set of partitions of $\{1,\dots , n\}$, which plays an important role in investigating several limit theorems related to finite free convolutions. Firstly, we present the finite free analogue of Sakuma and Yoshida’s limit theorem. That is, we provide the limit of $\{D_{1/m}((p_{
Arizmendi, Octavio +2 more
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International Journal of Theoretical Physics, 2008 The method of the quantum probability theory only requires simple structural data of graph and allows us to avoid a heavy combinational argument often necessary to obtain full description of spectrum of the adjacency matrix. In the present paper, by using the idea of calculation of the probability amplitudes for continuous-time quantum walk in terms of
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Hunter-gatherers in a howling wilderness: Neoliberal capitalism as a language that speaks itself [PDF]
, 2011 The 'self-referential' character of evolutionary process noted by Goldenfeld and Woese (2010) can be restated in the context of a generalized Darwinian theory applied to economic process through a 'language' model: The underlying ...
Rodrick Wallace
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Operator Homology and Cohomology in Clifford Algebras
Cubo, 2010 In recent work, the authors used canonical lowering and raising operators to define Appell systems on Clifford algebras of arbitrary signature. Appell systems can be interpreted as polynomial solutions of generalized heat equations, and in probability ...
René Schott, G. Stacey Staples
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Lyapunov exponent, universality and phase transition for products of random matrices
, 2020 Products of $M$ i.i.d. random matrices of size $N \times N$ are related to classical limit theorems in probability theory ($N=1$ and large $M$), to Lyapunov exponents in dynamical systems (finite $N$ and large $M$), and to universality in random matrix ...
Liu, Dang-Zheng +2 more
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Limit theorems of probability theory in dynamical systems
, 2015 Cette thèse est consacrée aux théorèmes limites pour les suites et les champs aléatoires strictement stationnaires. Nous étudions essentiellement le théorème limite central et sa version fonctionnelle, appelée principe d'invariance. Dans un premier temps, nous montrons à l'aide d'un contre-exemple que pour les processus strictement stationnaires $\beta$
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Limit theorems in bi-free probability theory
Limit theorems in bi-free probability theoryIn this paper additive bi-free convolution is defined for general Borel probability measures, and the limiting distributions for sums of bi-free pairs of self-adjoint commuting random variables in an infinitesimal triangular array are determined. These distributions are characterized by their bi-freely infinite divisibility, and moreover, a transfer ...
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