Some Sufficient Conditions for the Ergodicity of the Lévy Transformation

DOI10.1007/978-3-319-00321-4_2zbMath1291.60166arXiv1206.2485OpenAlexW2135790750MaRDI QIDQ2865102

Vilmos Prokaj

Publication date: 28 November 2013

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.2485

zbMATH Keywords

Brownian motionWiener measureLévy transformBorel \(\sigma\)-field

Mathematics Subject Classification ID

Brownian motion (60J65)

Related Items (2)

On the Exactness of the Lévy-Transformation ⋮ Limit theorems and ergodicity for general bootstrap random walks

Cites Work

• Density of orbits of Brownian trajectories under the action of the Lévy transformation
• Lévy transformation and zeros of Brownian motion
• Densité des zéros des transformés de Lévy itérés d'un mouvement brownien. (Density of zeros for iterated Lévy transforms of Brownian motion)
• Density of paths of iterated Lévy transforms of Brownian motion
• A random walk analogue of Lévy’s Theorem
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