2011 | OriginalPaper | Chapter
Hyperfinite Dirichlet Forms
Authors : Sergio Albeverio, Ruzong Fan, Frederik Herzberg
Published in: Hyperfinite Dirichlet Forms and Stochastic Processes
Publisher: Springer Berlin Heidelberg
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The interplay between methods from functional analysis and the theory of stochastic processes is one of the most important and exciting aspects of mathematical physics today. It is a highly technical and sophisticated theory based on decades of research in both areas. Numerous papers have been writ- ten on the standard theory of Dirichlet forms. Apart from the articles and monographs cited below, other notable contributions to the area include: Albeverio and Bernabei [4], Albeverio et al. [31], Bliedtner [85], Bouleau [89], Bouleau and Hirsch [90], Chen et al. [103], Fabes, Fukushima, Gross, Kenig, RÖckner and Stroock [144], Fitzsimmons and Kuwae [163], Fukushima [168– 170], Fukushima and Tanaka [176], Fukushima and Ying [179,180], Grothaus et al. [189], Hesse et al. [198], Jacob [208–210], Jacob and Moroz [211], Jacob and Schilling [212], Jost et al. [214], Kassmann [221], Kim et al. [229], Kumagai and Sturm [237], Ma and RÖckner [261,262], Ma et al. [263], Oshima [283], RÖckner and Wang [304], RÖckner and Zhang [306], Schmuland and Sun [316], Shiozawa and Takeda [318], da Silva et al. [319], Stannat [325], and Takeda [333, 334].