Dirichlet Forms on Infinite-Dimensional "manifold-Like" State Spaces: A Survey of Recent Results and Some Prospects for the Future

Dirichlet Forms on Infinite-Dimensional "manifold-Like" State Spaces: A Survey of Recent Results and Some Prospects for the Future (1996)

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by Michael Röckner

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@MISC{Röckner96dirichletforms,
    author = {Michael Röckner},
    title = {Dirichlet Forms on Infinite-Dimensional "manifold-Like" State Spaces: A Survey of Recent Results and Some Prospects for the Future},
    year = {1996}
}

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Abstract

We give a (to some extent pedagogical) survey on recent results about Dirichlet forms on infinite-dimensional "manifold-like" state spaces including path and loop spaces as well as spaces of measures. The latter are associated with interacting Fleming-Viot processes resp. infinite particle systems. Also some new results, further developing the Dirichlet form approach to infinite particle systems, are enclosed. Finally, a brief summary of other research activities in the theory of Dirichlet forms is given and some prospects for the future are indicated.

Citations

164	Introduction to the Theory of (Non-symmetric) Dirichlet Forms - Ma, Röckner - 1992
74	F.: Dirichlet forms and analysis on Wiener space. de Gruyter - Bouleau, Hirsch - 1991
37	Röckner M.: Stochastic differential equations in infinite dimensions: solutions via Dirichlet forms - Albeverio - 1991
28	A Cameron-Martin type quasi-invariance theorem for pinned Brownian motion on a compact Riemannian manifold - Driver - 1994
24	Fleming-Viot processes in population genetics - Ethier, Kurtz - 1993
23	Regularity of invariant measures on finite and infinite dimensional spaces and applications - Bogachev, Röckner - 1995
23	Dirichlet form approach to infinite-dimensional Wiener processes - Osada - 1996
19	Zhang: Uniqueness of generalized Schrödinger operators and applications.II - Röckner, T-S - 1994
15	The theory of generalized Dirichlet forms and its applications in analysis and stochastics - Stannat - 1999
14	Construction of diffusions on path and loop spaces of compact Riemannian manifolds - Driver, Röckner
13	Rockner: Ergodicity of L --semigroups and extremality of Gibbs states - Albeverio, Kondratiev, et al. - 1995
13	Construction of infinite-dimensional interacting diffusion processes through Dirichlet forms, Probab. Theory Relat. Fields 106 - Yoshida - 1996
12	Röckner: Dirichlet forms on topological vector spaces – construction of an associated diffusion process - Albeverio, M - 1989
12	Markov processes associated with semi-Dirichlet forms - Ma, Overbeck, et al. - 1995
11	Quasi-regular Dirichlet forms and Markov processes - Albeverio, Ma, et al. - 1993
10	Roekner M., Dirichlet Operators via Stochastic Analysis, BiBoS preprint No. 571 - unknown authors - 1993
10	Construction of a rotational invariant diffusion on the free loop space - Albeverio, Léandre, et al. - 1993
6	Generalized Dirichlet forms and associated Markov processes - Stannat - 1994
5	Tightness of general C 1;p capacities on Banach space - Rockner, Schmuland - 1992
5	Dirichlet forms and Markov processes: a generalized framework including both elliptic and parabolic cases, to appear in: Potential Analysis - Stannat - 1995
4	Stochastic quantization of the two-dimensional polymer measure - Albeverio, Rockner, et al. - 1996
4	Processus de diffusion associe aux mesures de Gibbs sur ��d - Doss, Royer - 1978
4	Geometric aspects of finite- and infinite-dimensional Fleming-Viot processes - Overbeck, Rockner - 1997
4	Schmuland: Quasi--regular Dirichlet forms: examples and counterexamples - Rockner, B - 1995
3	Stochastic quantization of the three-dimensional polymer measure - Albeverio, Rockner, et al. - 1996
3	L 2 Theory for the stochastic Ising model - Holley, Stroock - 1976
2	Girsanov-type transformations of local Dirichlet forms: An analytic approach - Eberle - 1996
2	Byron Schmuland: An analytic approach to Fleming-Viot processes with interactive selection. The Annals of Probability 23 - Overbeck, Rockner - 1995
2	T.S Zhang: Uniqueness of generalized Schrodinger operators - Rockner - 1994
1	Dirichlet forms and stochastic processes - Ma, Rockner, et al. - 1995