On the Hölder property of trajectories in a set of full Wiener measure on the Heisenberg group

DOI10.1134/S0001434619070356zbMath1439.60045OpenAlexW2970918362MaRDI QIDQ2282866

Sergeĭ Vladimirovich Mamon

Publication date: 20 December 2019

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434619070356

zbMATH Keywords

Heisenberg groupWiener measuresub-Laplacianinfinitesimal operator of one-parametric semigroup

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) One-parameter semigroups and linear evolution equations (47D06) Random measures (60G57)

Cites Work

• The spectrum of the sub-Laplacian on the Heisenberg group
• Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups
• Lévy processes, pseudo-differential operators and Dirichlet forms in the Heisenberg group
• The distribution of energy in the Brownian motion in the Gaussian field and analytic-hypoellipticity of certain subelliptic operators on the Heisenberg group
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