SOME BASIC PROPERTIES OF THE NOISE REINFORCED BROWNIAN MOTION

Noise reinforced Brownian motion appears as the universal limit of the step reinforced random walk. This article aims to study some basic properties of the noise reinforced Brownian motion. As main results, we prove integral representation, series expansion, Markov property, and martingale property...

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Bibliographic Details
Main Author: Herry Pribawanto Suryawan
Format: Article
Language:English
Published: Universitas Pattimura 2022-06-01
Series:Barekeng
Subjects:
Online Access:https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/3681
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