Results 51 to 60 of about 1,638,072 (98)
Central limit theorem and exponential tail estimations in hybrid Lebesgue-continuous spaces [PDF]
, 2013 We study the Central Limit Theorem (CLT) in the so-called hybrid Lebesgue-continuous spaces and tail behavior of normed sums of centered random independent variables (vectors) with values in these spaces.Comment: arXiv admin note: substantial text ...
Ostrovsky, E., Sirota, L.
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A Guide to Stochastic Loewner Evolution and its Applications
, 2004 This article is meant to serve as a guide to recent developments in the study of the scaling limit of critical models. These new developments were made possible through the definition of the Stochastic Loewner Evolution (SLE) by Oded Schramm.
Kager, Wouter, Nienhuis, Bernard
core +1 more source
Lecture Notes on Free Probability [PDF]
arXiv, 2013 Lecture notes for a graduate course lectured at Stanford University.
arxiv
Entropy and the Shannon-McMillan-Breiman theorem for beta random matrix ensembles
, 2013 We show that beta ensembles in Random Matrix Theory with generic real analytic potential have the asymptotic equipartition property. In addition, we prove a Central Limit Theorem for the density of the eigenvalues of these ensembles.Comment: We made ...
Bufetov, Alexander +3 more
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Refining quasi-probability kernels [PDF]
arXiv, 2010 We consider the problem of modifying a quasi-probability kernel in order to improve its properties without changing the set of measures whose conditional probabilities it specifies.
arxiv
Multiscale functional inequalities in probability: Concentration properties
Latin American Journal of Probability and Mathematical Statistics, 2017 In a companion article we have introduced a notion of multiscale functional inequalities for functions $X(A)$ of an ergodic stationary random field $A$ on the ambient space $\mathbb R^d$.
Mitia Duerinckx, A. Gloria
semanticscholar +1 more source
Probabilistic Aspects of Voting, Intransitivity and Manipulation [PDF]
arXiv, 2020 These lecture notes are based on lectures given in 2019 Saint-Flour Probability School.
arxiv
Negative probability in the framework of combined probability [PDF]
arXiv, 2013 Negative probability has found diverse applications in theoretical physics. Thus, construction of sound and rigorous mathematical foundations for negative probability is important for physics. There are different axiomatizations of conventional probability. So, it is natural that negative probability also has different axiomatic frameworks.
arxiv
Normal approximation for statistics of Gibbsian input in geometric probability
Advances in Applied Probability, 2015 This paper concerns the asymptotic behavior of a random variable W λ resulting from the summation of the functionals of a Gibbsian spatial point process over windows Q λ ↑ ℝ d . We establish conditions ensuring that W λ has volume order fluctuations, i.e.
A. Xia, J. Yukich
semanticscholar +1 more source
Central Limit Theorem in Holder spaces in the terms of majorizing measures [PDF]
, 2014 We obtain some sufficient conditions for the Central Limit Theorem for the random processes (fields) with values in the separable part of Holder space in the modern terms of majorizing (minorizing) measures, belonging to X.Fernique and M.Talagrand.
Ostrovsky, E., Sirota, L.
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