Cover Image

The predicable dance of random walk: local limit theorems on finitely-generated abelian groups

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Randles, Evan, Yan, Yutong
Format:	Preprint
Published:	2025
Subjects:	Probability Primary 60F05, 60G50, 60J10, Secondary 60E10, 60B15
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Superdiffusive planar random walks with polynomial space-time drifts
by: da Costa, Conrado, et al.
Published: (2024)

Strong law of large numbers for a branching random walk among Bernoulli traps
by: Öz, Mehmet
Published: (2025)

Characterizing the asymptotic and catalytic stochastic orders on topological abelian groups
by: Fritz, Tobias
Published: (2020)

Conjugacy-invariant random walks on nilpotent groups
by: Huang, Xiangying
Published: (2026)

Passage-times for partially-homogeneous reflected random walks on the quadrant
by: da Costa, Conrado, et al.
Published: (2023)

A fixed-point equation approach for the superdiffusive elephant random walk
by: Guérin, Hélène, et al.
Published: (2023)

Convergence rate of the occupation measure of classes of ergodic processes toward their invariant distribution in mean Wasserstein distance
by: Pagès, Gilles, et al.
Published: (2026)

On Stein's method for stochastically monotone single-birth chains
by: Daly, Fraser
Published: (2022)

A uniform semi-local limit theorem along sets of multiples for sums of i.i.d. random variables
by: Weber, Michel J. G.
Published: (2022)

On Mukhin's necessary and sufficient condition for the validity of the local limit theorem
by: Weber, Michel J. G.
Published: (2022)

Central limit theorem for superdiffusive reflected Brownian motion
by: Mijatović, Aleksandar, et al.
Published: (2024)

Some FKG inequalities for stochastic processes
by: Legrand, Alexandre
Published: (2024)

Large deviation probabilities for sums of censored random variables with regularly varying distribution tails
by: Chong, Aaron, et al.
Published: (2025)

Gamma, Gaussian and Poisson approximations for random sums using size-biased and generalized zero-biased couplings
by: Daly, Fraser
Published: (2020)

On local large deviations for decoupled random walks
by: Buraczewski, Dariusz, et al.
Published: (2025)

Asymptotics for Exponential Functionals of Random Walks
by: Xu, Wei
Published: (2022)

Asymptotic behaviors of fractional binomial distributions derived from the generalized binomial theorem
by: Hino, Masanori, et al.
Published: (2025)

Non-Gaussian limits for diameter and perimeter of convex hulls of multiple random walks
by: Cygan, Wojciech, et al.
Published: (2025)

Representation and Characterization of Quasistationary Distributions for Markov Chains
by: Ben-Ari, Iddo, et al.
Published: (2024)

On the prospective minimum of the random walk conditioned to stay non-negative
by: Vatutin, Vladimir, et al.
Published: (2024)

Nonlinear semigroups and limit theorems for convex expectations
by: Blessing, Jonas, et al.
Published: (2022)

Space-time boundaries for random walks and their application to operator algebras
by: Dor-On, Adam, et al.
Published: (2026)

Stationary entrance chains and applications to random walks
by: Mijatovic, Aleksandar, et al.
Published: (2024)

Universal concentration for sums under arbitrary dependence
by: Louart, Cosme, et al.
Published: (2026)

Conditioned random walks on linear groups II: local limit theorems
by: Grama, Ion, et al.
Published: (2024)

Right-Most Position of a Last Progeny Modified Branching Random Walk
by: Bandyopadhyay, Antar, et al.
Published: (2021)

Strong transience for one-dimensional Markov chains with asymptotically zero drifts
by: Lo, Chak Hei, et al.
Published: (2022)

Time-uniform Chernoff bounds via nonnegative supermartingales
by: Howard, Steven R., et al.
Published: (2018)

A cohesive account on the ergodic behaviours and scaling limits of Random Walks in Cooling Random Environments
by: Avena, Luca, et al.
Published: (2026)

An Exponential Concentration Inequality for the Components of a Uniform Random Vector on the Sphere
by: Samani, Joshua
Published: (2025)

A regularized Kellerer theorem in arbitrary dimension
by: Pammer, Gudmund, et al.
Published: (2022)

Brownian Motion with a Singular Drift
by: DeBlassie, Dante, et al.
Published: (2024)

Random Markov property for random walks in random environments
by: Allasia, Julien, et al.
Published: (2024)

Hitting probabilities of constrained random walks representing tandem networks
by: Sezer, Ali Devin
Published: (2021)

Iterated-logarithm laws for convex hulls of random walks with drift
by: Cygan, Wojciech, et al.
Published: (2023)

Gaussian heat kernel asymptotics for conditioned random walks
by: Grama, Ion, et al.
Published: (2024)

On a boundary of the central limit theorem for strictly stationary, reversible Markov chains
by: Bradley, Richard C.
Published: (2024)

Noncentral limit results for spatiotemporal random fields on manifolds and beyond
by: Ruiz-Medina, M. D.
Published: (2026)

Some results on probabilities of moderate deviations
by: Li, Deli, et al.
Published: (2022)

Conditioned random walks on linear groups I: construction of the target harmonic measure
by: Grama, Ion, et al.
Published: (2024)