Arithmetic area formplanar Brownian paths

DOI10.1088/1742-5468/2012/05/P05005zbMath1456.60208arXiv1202.0913OpenAlexW2064496890MaRDI QIDQ3301361

Jean Desbois, Stéphane Ouvry

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.0913

Mathematics Subject Classification ID

Brownian motion (60J65)

Cites Work

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• The expected area of the filled planar Brownian loop is \(\pi/5\)
• Intersections of random walks. A direct renormalization approach
• Winding of planar Brownian curves
• Algebraic and arithmetic area formplanar Brownian paths

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