The hitting distributions of a line for two dimensional random walks

DOI10.1090/S0002-9947-09-05072-7zbMath1195.60070OpenAlexW1985842413MaRDI QIDQ3559031

Kôhei Uchiyama

Publication date: 11 May 2010

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-09-05072-7

zbMATH Keywords

Fourier analysisasymptotic formularandom walk of zero mean and finite variancesfirst visited site

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Probabilistic potential theory (60J45)

Related Items (2)

The hitting distribution of a line segment for two-dimensional random walks ⋮ Green's functions of random walks on the upper half plane

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hitting probabilities of random walks on \({\mathbb{Z}}^ d\)
• Potential kernel for two-dimensional random walk
• The hitting distributions of a half real line for two-dimensional random walks
• The {B}eurling estimate for a class of random walks
• Asymptotic estimates of the Green functions and transition probabilities for Markov additive processes
• Random walks on periodic graphs
• Green's Functions for Random Walks on Z^N

This page was built for publication: The hitting distributions of a line for two dimensional random walks