Convergence of Brownian motion with a scaled Dirac delta potential

DOI10.1017/S0013091509001552zbMath1253.47027OpenAlexW2126750611MaRDI QIDQ2891992

Janna Lierl, Florian Conrad, Martin Grothaus, Olaf Wittich

Publication date: 18 June 2012

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091509001552

zbMATH Keywords

Mosco convergenceBrownian motionDirichlet formsabsorptionlimit theoremsscaling limitsstrong Feller property

Mathematics Subject Classification ID

Brownian motion (60J65) Dirichlet forms (31C25) Markov semigroups and applications to diffusion processes (47D07) Diffusion processes (60J60) Research exposition (monographs, survey articles) pertaining to mathematics in general (00-02)

Related Items (2)

On stiff problems via Dirichlet forms ⋮ Mosco type convergence of bilinear forms and weak convergence of \(n\)-particle systems

Cites Work

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• Scaling limit of fluctuations for the equilibrium Glauber dynamics in continuum
• \(N/V\)-limit for stochastic dynamics in continuous particle systems
• A canonical decomposition for quadratic forms with applications to monotone convergence theorems
• Decomposition of Dirichlet processes and its applications
• Composite media and asymptotic Dirichlet forms
• Scaling limit of stochastic dynamics in classical continuous systems
• Singular dissipative stochastic equations in Hilbert spaces
• Stochastic Calculus

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