Random Walks on Comb-Type Subsets of Z2

E. Csáki, Antónia Földes

Research output: Contribution to journalArticle

Abstract

We study the path behavior of the simple symmetric walk on some comb-type subsets of Z2 which are obtained from Z2 by removing all horizontal edges belonging to certain sets of values on the y-axis. We obtain some strong approximation results and discuss their consequences.

Original languageEnglish
JournalJournal of Theoretical Probability
DOIs
Publication statusAccepted/In press - Jan 1 2019

Fingerprint

Strong Approximation
Walk
Random walk
Horizontal
Path
Subset
Approximation

Keywords

  • 2-dimensional comb
  • 2-dimensional Wiener process
  • Iterated Brownian motion
  • Laws of the iterated logarithm
  • Oscillating Brownian motion
  • Random walk
  • Strong approximation

ASJC Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Statistics, Probability and Uncertainty

Cite this

Random Walks on Comb-Type Subsets of Z2 . / Csáki, E.; Földes, Antónia.

In: Journal of Theoretical Probability, 01.01.2019.

Research output: Contribution to journalArticle

@article{dbeed979466a4b878f6a4e4a2c7e68d5,
title = "Random Walks on Comb-Type Subsets of Z2",
abstract = "We study the path behavior of the simple symmetric walk on some comb-type subsets of Z2 which are obtained from Z2 by removing all horizontal edges belonging to certain sets of values on the y-axis. We obtain some strong approximation results and discuss their consequences.",
keywords = "2-dimensional comb, 2-dimensional Wiener process, Iterated Brownian motion, Laws of the iterated logarithm, Oscillating Brownian motion, Random walk, Strong approximation",
author = "E. Cs{\'a}ki and Ant{\'o}nia F{\"o}ldes",
year = "2019",
month = "1",
day = "1",
doi = "10.1007/s10959-019-00938-5",
language = "English",
journal = "Journal of Theoretical Probability",
issn = "0894-9840",
publisher = "Springer New York",

}

TY - JOUR

T1 - Random Walks on Comb-Type Subsets of Z2

AU - Csáki, E.

AU - Földes, Antónia

PY - 2019/1/1

Y1 - 2019/1/1

N2 - We study the path behavior of the simple symmetric walk on some comb-type subsets of Z2 which are obtained from Z2 by removing all horizontal edges belonging to certain sets of values on the y-axis. We obtain some strong approximation results and discuss their consequences.

AB - We study the path behavior of the simple symmetric walk on some comb-type subsets of Z2 which are obtained from Z2 by removing all horizontal edges belonging to certain sets of values on the y-axis. We obtain some strong approximation results and discuss their consequences.

KW - 2-dimensional comb

KW - 2-dimensional Wiener process

KW - Iterated Brownian motion

KW - Laws of the iterated logarithm

KW - Oscillating Brownian motion

KW - Random walk

KW - Strong approximation

UR - http://www.scopus.com/inward/record.url?scp=85072041412&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85072041412&partnerID=8YFLogxK

U2 - 10.1007/s10959-019-00938-5

DO - 10.1007/s10959-019-00938-5

M3 - Article

AN - SCOPUS:85072041412

JO - Journal of Theoretical Probability

JF - Journal of Theoretical Probability

SN - 0894-9840

ER -