Results 11 to 20 of about 135,156 (153)

Local limit theorems in free probability theory

open access: yesThe Annals of Probability, 2010
Published in at http://dx.doi.org/10.1214/09-AOP505 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Wang, Jiun-Chau
openaire   +5 more sources

Extended Poisson-Kac Theory: A Unifying Framework for Stochastic Processes with Finite Propagation Velocity

open access: yesPhysical Review X, 2022
Stochastic processes play a key role for modeling a huge variety of transport problems out of equilibrium, with manifold applications throughout the natural and social sciences.
Massimiliano Giona   +2 more
doaj   +1 more source

Annealed and quenched limit theorems for random expanding dynamical systems [PDF]

open access: yes, 2014
In this paper, we investigate annealed and quenched limit theorems for random expanding dynamical systems. Making use of functional analytic techniques and more probabilistic arguments with martingales, we prove annealed versions of a central limit ...
Aimino, Romain   +2 more
core   +4 more sources

On MV-Algebraic Versions of the Strong Law of Large Numbers

open access: yesEntropy, 2019
Many-valued (MV; the many-valued logics considered by Łukasiewicz)-algebras are algebraic systems that generalize Boolean algebras. The MV-algebraic probability theory involves the notions of the state and observable, which abstract the probability ...
Piotr Nowak, Olgierd Hryniewicz
doaj   +1 more source

Parabolic theory as a high-dimensional limit of elliptic theory [PDF]

open access: yes, 2017
The aim of this article is to show how certain parabolic theorems follow from their elliptic counterparts. This technique is demonstrated through new proofs of five important theorems in parabolic unique continuation and the regularity theory of ...
Davey, Blair
core   +1 more source

Central limit theorem for Fourier transforms of stationary processes [PDF]

open access: yes, 2010
We consider asymptotic behavior of Fourier transforms of stationary ergodic sequences with finite second moments. We establish a central limit theorem (CLT) for almost all frequencies and also an annealed CLT. The theorems hold for all regular sequences.
Peligrad, Magda, Wu, Wei Biao
core   +1 more source

Extreme value distributions and Renormalization Group [PDF]

open access: yes, 2012
In the classical theorems of extreme value theory the limits of suitably rescaled maxima of sequences of independent, identically distributed random variables are studied. So far, only affine rescalings have been considered.
B. Gutenberg   +12 more
core   +3 more sources

About the cumulative idle time in multiphase queues [PDF]

open access: yes, 2005
The paper is designated to the analysis of queueing systems, arising in the network theory and communications theory (called multiphase queueing systems, tandem queues or series of queueing systems).
Minkevičius, Saulius   +1 more
core   +1 more source

Large deviations for random walks under subexponentiality: the big-jump domain [PDF]

open access: yes, 2007
For a given one-dimensional random walk $\{S_n\}$ with a subexponential step-size distribution, we present a unifying theory to study the sequences $\{x_n\}$ for which $\mathsf{P}\{S_n>x\}\sim n\mathsf{P}\{S_1>x\}$ as $n\to\infty$ uniformly for $x\ge x_n$
Denisov, D., Dieker, A. B., Shneer, V.
core   +7 more sources

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