Results 31 to 40 of about 7,858,530 (320)

Local limit theorems for occupancy models [PDF]

open access: yes, 2020
We present a rather general method for proving local limit theorems, with a good rate of convergence, for sums of dependent random variables. The method is applicable when a Stein coupling can be exhibited.
Barbour, AD, Braunsteins, P, Ross, N
core   +1 more source

Error bounds in local limit theorems using Stein’s method [PDF]

open access: yesBernoulli, 2017
We provide a general result for bounding the difference between point probabilities of integer supported distributions and the translated Poisson distribution, a convenient alternative to the discretized normal.
A. Barbour, Adrian Röllin, Nathan Ross
semanticscholar   +1 more source

Expansions in the Local and the Central Limit Theorems for Dynamical Systems [PDF]

open access: yesCommunications in Mathematical Physics, 2020
We study higher order expansions both in the Berry–Esséen estimate (Edgeworth expansions) and in the local limit theorems for Birkhoff sums of chaotic probability preserving dynamical systems.
K. Fernando, Françoise Pène
semanticscholar   +1 more source

Diffusion approximation of a network model of meme popularity

open access: yesPhysical Review Research, 2023
Models of meme propagation on social networks, in which memes compete for limited user attention, can successfully reproduce the heavy-tailed popularity distributions observed in online settings.
Kleber A. Oliveira   +2 more
doaj   +1 more source

Local Limit Theorems for the Random Conductance Model and Applications to the Ginzburg–Landau $$\nabla \phi $$ Interface Model [PDF]

open access: yes, 2019
We study a continuous-time random walk on $\mathbb{Z}^d$ in an environment of random conductances taking values in $(0,\infty)$. For a static environment, we extend the quenched local limit theorem to the case of a general speed measure, given suitable ...
S. Andres, P. A. Taylor
semanticscholar   +1 more source

The constraints of post-quantum classical gravity

open access: yesJournal of High Energy Physics, 2022
We study a class of theories in which space-time is treated classically, while interacting with quantum fields. These circumvent various no-go theorems and the pathologies of semi-classical gravity, by being linear in the density matrix and phase-space ...
Jonathan Oppenheim   +1 more
doaj   +1 more source

A Local Limit Theorem in the Theory of Overpartitions [PDF]

open access: yesAlgorithmica, 2006
An overpartition of an integer n is a partition where the last occurrence of a part can be overlined. We study the weight of the overlined parts of an overpartition counted with or without their multiplicities. This is a continuation of a work by Corteel and Hitczenko whereit was shown that the expected weight of the overlined partsis asymptotic to n/3
Sylvie Corteel   +2 more
openaire   +2 more sources

QUENCHED LIMIT THEOREMS FOR RANDOM U(1) EXTENSIONS OF EXPANDING MAPS [Elektronisk resurs] [PDF]

open access: yes, 2023
In this paper we provide quenched central limit theorems, large deviation principles and local central limit theorems for random U(1) extensions of expanding maps on the torus.
Chung, Yong Moo,   +3 more
core   +2 more sources

Core forging and local limit theorems for the k-core of random graphs [PDF]

open access: yesJ. Comb. Theory B, 2017
We establish a multivariate local limit theorem for the order and size as well as several other parameters of the k-core of the Erdos-Renyi graph. The proof is based on a novel approach to the k-core problem that replaces the meticulous analysis of the ...
Amin Coja-Oghlan   +3 more
semanticscholar   +1 more source

Local Limit Theorem for Randomly Deforming Billiards [PDF]

open access: yesCommunications in Mathematical Physics, 2020
We study limit theorems in the context of random perturbations of dispersing billiards in finite and infinite measure. In the context of a planar periodic Lorentz gas with finite horizon, we consider random perturbations in the form of movements and deformations of scatterers.
Demers, Mark   +2 more
openaire   +5 more sources

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