Metastable states in Brownian energy landscape

DOI10.1214/14-AIHP616zbMath1323.60133arXiv1308.6397MaRDI QIDQ500797

Dimitris Cheliotis

Publication date: 5 October 2015

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.6397

zbMATH Keywords

random walksBrownian motiondiffusionsrandom environmentexcursion theoryconfluent hypergeometric equationalmost sure limitrenewal cluster process

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Stationary stochastic processes (60G10) Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) Brownian motion (60J65) Diffusion processes (60J60) Processes in random environments (60K37) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Renewal theory (60K05)

Cites Work

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• Patterns in Sinai's walk
• Hydrodynamic limit of gradient exclusion processes with conductances
• Diffusion in random environment and the renewal theorem
• An Introduction to the Theory of Point Processes
• Probability

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