Cover Image

Marginals of the planar symmetric Markov random flight on long time intervals behave like the Goldstein-Kac telegraph process

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Kolesnik, Alexander D.
Format:	Preprint
Published:	2025
Subjects:	Probability 60K35, 60J60, 62E20, 62F12, 82C41, 82C70
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Exact formula for the 2-marginal second moment function of the multidimensional symmetric Markov random flight
by: Kolesnik, Alexander D.
Published: (2026)

Slow diffusion by Markov random flights
by: Kolesnik, Alexander D.
Published: (2017)

A diffusion model of surface soil pollution based on planar finite-velocity stochastic motion with random lifetime
by: Kolesnik, Alexander D.
Published: (2025)

Improved geometric and recollision estimates for the invariance principle of the random Lorentz gas
by: Matthies, Karsten, et al.
Published: (2025)

Sharp threshold for the ballisticity of the random walk on the exclusion process
by: Conchon--Kerjan, Guillaume, et al.
Published: (2024)

First passage percolation with long-range correlations and applications to random Schrödinger operators
by: Andres, Sebastian, et al.
Published: (2021)

Gradient estimates of the heat kernel for random walks among time-dependent random conductances
by: Deuschel, Jean-Dominique, et al.
Published: (2023)

Law of Large Numbers for a random walk on dynamic environments with drift
by: Conchon--Kerjan, Guillaume, et al.
Published: (2026)

Semi-Quenched Invariance Principle for the Random Lorentz Gas -- Beyond the Boltzmann-Grad Limit
by: Tóth, Bálint
Published: (2024)

A universality property for large deviations of RWRE close to the axis
by: Groisman, Pablo, et al.
Published: (2026)

On an epidemic model on finite graphs
by: Benjamini, Itai, et al.
Published: (2016)

Sinaĭ excursions: An analogue of Sparre Andersen's formula for the area process of a random walk
by: Donderwinkel, Serte, et al.
Published: (2024)

Sharp asymptotics for $N$-point correlation functions of coalescing heavy-tailed random walk
by: Yu, Jinjiong
Published: (2025)

Energetic characterisation of transient clustering dynamics in aggregation-diffusion systems
by: Wehlitz, Nathalie, et al.
Published: (2026)

Sharp asymptotics of disconnection time of large cylinders by simple and biased random walks
by: Li, Xinyi, et al.
Published: (2024)

A flow-type scaling limit for random growth with memory
by: Dembo, Amir, et al.
Published: (2023)

Strong solutions to singular SDEs and application to the Lennard-Jones potential
by: Morale, Daniela, et al.
Published: (2025)

Phase Transition of a Semiflexible Membrane in Two Dimensions
by: Hwang, Jingu
Published: (2026)

Series representations for the characteristic function of the multidimensional Markov random flight
by: Kolesnik, Alexander D.
Published: (2023)

Scaling limit of the discrete Gaussian free field with degenerate random conductances
by: Andres, Sebastian, et al.
Published: (2025)

Exponentially slow Mixing arising from Entropic Repulsion in $p$-SOS model
by: Choi, Seokun
Published: (2025)

Heat kernel fluctuations and quantitative homogenization for the one-dimensional Bouchaud trap model
by: Andres, Sebastian, et al.
Published: (2023)

Well-posedness of stochastic reacting particle systems with non-local and Lennard-Jones interactions
by: Morale, Daniela, et al.
Published: (2026)

An H-theorem for a conditional McKean-Vlasov process related to interacting diffusions on regular trees
by: Hu, Kevin, et al.
Published: (2024)

Large deviations for out of equilibrium correlations in the symmetric simple exclusion process
by: Bodineau, Thierry, et al.
Published: (2022)

Non-directed polymers in random environments with range penalties: the high dimensional case
by: Torri, Niccolo, et al.
Published: (2025)

Elephant random walks on infinite Cayley trees
by: Mukherjee, Soumendu Sundar
Published: (2025)

Extremal regime for one-dimensional Mott variable-range hopping
by: Croydon, David A., et al.
Published: (2022)

Fluctuations of the local times of the self-repelling random walk with directed edges
by: Marêché, Laure
Published: (2022)

Limit theorems for the trajectory of the self-repelling random walk with directed edges
by: Marêché, Laure, et al.
Published: (2023)

Optimal matching under size priority
by: Enriquez, Nathanaël, et al.
Published: (2026)

Optimal Unimodular Matching
by: Enriquez, Nathanaël, et al.
Published: (2024)

Uniqueness and locality of the ground state of the disordered Monomer-Dimer models on independently weighted Unimodular Bienaymé-Galton-Watson trees
by: Kang, Mihyun, et al.
Published: (2026)

Asymptotic behavior of the critical density of activated random walk
by: Kaufman, Harley, et al.
Published: (2025)

Singular diffusion limit of a tagged particle in zero range processes with Sinai-type random environment
by: Hudiani, Marcel, et al.
Published: (2025)

GUE Fluctuations Near the Axis in One-Sided Ballistic Deposition
by: Groisman, Pablo, et al.
Published: (2025)

From quenched invariance principle to semigroup convergence with applications to exclusion processes
by: Chiarini, Alberto, et al.
Published: (2023)

Can one condition a killed random walk to survive?
by: Rey, Lucas, et al.
Published: (2024)

Arithmetic oscillations of the chemical distance in long-range percolation on $\mathbb Z^d$
by: Biskup, Marek, et al.
Published: (2021)

Asymptotics for the percolation threshold of finitary random interlacements in four and higher dimensions
by: Bi, Yijie, et al.
Published: (2025)