On notions of harmonicity for non-symmetric Dirichlet form

DOI10.1007/s11425-010-4001-zzbMath1195.31008OpenAlexW1978291793MaRDI QIDQ989812

Xiang Chan Zhu, Rong-Chan Zhu, Zhi-Ming Ma

Publication date: 23 August 2010

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-4001-z

zbMATH Keywords

non-symmetric Dirichlet formsBrownian motionharmonic functionHunt processesnon-symmetric Beurling-Deny decomposition

Mathematics Subject Classification ID

Brownian motion (60J65) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)

Related Items (5)

On subharmonicity for symmetric Markov processes ⋮ Mathematical model of an active biological continuous medium with account for the deformations and rearrangements of the cells ⋮ Solvability of nonlocal systems related to peridynamics ⋮ A continuous-time model of centrally coordinated motion with random switching ⋮ Escape Probability for Stochastic Dynamical Systems with Jumps

Cites Work

• Extensions of Lévy-Khintchine formula and Beurling-Deny formula in semi-Dirichlet forms setting
• Introduction to the theory of (non-symmetric) Dirichlet forms
• Dirichlet forms and symmetric Markov processes
• Markov processes associated with semi-Dirichlet forms
• Beurling-Deny formula of semi-Dirichlet forms
• Diffusion processes and second order elliptic operators with singular coefficients for lower order terms
• One-point extensions of Markov processes by darning
• On notions of harmonicity
• On the quasi-regularity of semi-Dirichlet forms
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