On the shape of the connected component of the complement of the plane Brownian path

DOI10.1007/BF01192257zbMath0792.60075OpenAlexW2912208670MaRDI QIDQ1326298

Wendelin Werner

Publication date: 6 June 1994

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01192257

zbMATH Keywords

limit theoremconnected components of the complement of a 2-dimensional Brownian path

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Brownian motion (60J65)

Related Items (6)

Green's formula, planar Brownian bridge, and Lévy's area ⋮ No triple point of planar Brownian motion is accessible ⋮ The conformally invariant measure on self-avoiding loops ⋮ How round are the complementary components of planar Brownian motion? ⋮ Universal fluctuations in the support of the random walk ⋮ Two-dimensional Brownian random interlacements

Cites Work

• Path Decomposition and Continuity of Local Time for One-Dimensional Diffusions, I
• On the asymptotic number of small components created by planar brownian motion
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