Zobrazeno 1 - 10
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pro vyhledávání: '"local limit theorem"'
Autor:
Kosloff, Zemer, Sanadhya, Shrey
We show that for every ergodic and aperiodic probability preserving system $(X,\mathcal{B},m,T)$, there exists $f:X\to \mathbb{Z}^d$, whose corresponding cocycle satisfies the $d$-dimensional local central limit theorem. We use the $2$-dimensional re
Externí odkaz:
http://arxiv.org/abs/2409.05087
We give a complete expansion, at any accuracy order, for the iterated convolution of a complex valued integrable sequence in one space dimension. The remainders are estimated sharply with generalized Gaussian bounds. The result applies in probability
Externí odkaz:
http://arxiv.org/abs/2408.12876
Autor:
Auld, Graeme1 (AUTHOR), Neammanee, Kritsana1,2 (AUTHOR) Kritsana.N@chula.ac.th
Publikováno v:
Journal of Inequalities & Applications. 5/10/2024, Vol. 2024 Issue 1, p1-26. 26p.
We establish the quenched local limit theorem for reversible random walk on $\Z^d$ (with $d\ge 2$) among stationary ergodic random conductances that permit jumps of arbitrary length. The proof is based on the weak parabolic Harnack inequalities and o
Externí odkaz:
http://arxiv.org/abs/2402.07212
Autor:
Graeme Auld, Kritsana Neammanee
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-26 (2024)
Abstract In a recent paper the authors proved a nonuniform local limit theorem concerning normal approximation of the point probabilities P ( S = k ) $P(S=k)$ when S = ∑ i = 1 n X i $S=\sum_{i=1}^{n}X_{i}$ and X 1 , X 2 , … , X n $X_{1},X_{2},\ld
Externí odkaz:
https://doaj.org/article/31fa8f38bcfe4bb593e9601cc43d1cad
Autor:
Hong, Soonki
Let $\mathcal{T}$ be a locally finite tree whose geometric boundary has infinitely many points. Suppose that a non-amenable group $\G$ acts isometrically and geometrically on the tree $\mathcal{T}$. In this paper, we show that if the length spectrum
Externí odkaz:
http://arxiv.org/abs/2403.05089
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The investigation of partitions of integers plays an important role in combinatorics and number theory. Among the many variations, partitions into powers $0<\alpha<1$ were of recent interest. In the present paper we want to extend our considerations
Externí odkaz:
http://arxiv.org/abs/2311.09203
Autor:
Andres, Sebastian, Slowik, Martin
We study continuous time random walks on $\mathbb{Z}^d$ (with $d \geq 2$) among random conductances $\{ \omega(\{x,y\}) : x,y \in \mathbb{Z}^d\}$ that permit jumps of arbitrary length. The law of the random variables $\omega(\{x,y\})$, taking values
Externí odkaz:
http://arxiv.org/abs/2311.07472
Autor:
Devulder, Alexis
We consider Sinai's random walk in random environment $(S_n)_{n\in\mathbb{N}}$. We prove a local limit theorem for $(S_n)_{n\in\mathbb{N}}$ under the annealed law $\mathbb{P}$. As a consequence, we get an equivalent for the annealed probability $\mat
Externí odkaz:
http://arxiv.org/abs/2309.13020