Mosco convergence of Dirichlet forms in infinite dimensions with changing reference measures

By A. V. Kolesnikov. 2006

51 citations recorded by the source corpus.

Let E be an infinite-dimensional locally convex space, let {μn} be a weakly convergent sequence of probability measures on E, and let {En} be a sequence of Dirichlet forms on E such that En is defined on L2(μn). General sufficient conditions for Mosco convergence of the gradient Dirichlet forms are obtained. Applications to Gibbs states on a lattice and to the Gaussian case are given. Weak convergence of the associated processes is discussed.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/4b0ab17535ce2abbe66997438ca24f2cecf8bc52

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In Applied Mathematics

1. S. Andres
2. Max-K. von Renesse
3. Shin-ichi Ohta
4. Karl‐Theodor Sturm
5. T. Rajala
6. Emanuel Milman
7. Feng-Yu Wang
8. Nicola Gigli

In Computational Theory and Mathematics

1. S. Andres
2. Max-K. von Renesse
3. Nicola Gigli

In Mathematical Physics

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2. Max-K. von Renesse

Citations in the corpus

• Particle approximation of the Wasserstein diffusion (2007, background): “In case of a fixed state space a similar approach is discussed in [12].”