Oberwolfach Reports

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Volume 11, Issue 4, 2014, pp. 2667–2756
DOI: 10.4171/OWR/2014/48

Published online: 2015-10-29

Dirichlet Form Theory and its Applications

Sergio Albeverio[1], Zhen-Qing Chen[2], Masatoshi Fukushima[3] and Michael Röckner[4]

(1) Universität Bonn, Germany
(2) University of Washington, Seattle, United States
(3) Osaka University, Japan
(4) Universität Bielefeld, Germany

Theory of Dirichlet forms is one of the main achievements in modern probability theory. It provides a powerful connection between probabilistic and analytic potential theory. It is also an effective machinery for studying various stochastic models, especially those with non-smooth data, on fractal-like spaces or spaces of infinite dimensions. The Dirichlet form theory has numerous interactions with other areas of mathematics and sciences.

This workshop brought together top experts in Dirichlet form theory and related fields as well as promising young researchers, with the common theme of developing new foundational methods and their applications to specific areas of probability. It provided a unique opportunity for the interaction between the established scholars and young researchers.

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Albeverio Sergio, Chen Zhen-Qing, Fukushima Masatoshi, Röckner Michael: Dirichlet Form Theory and its Applications. Oberwolfach Rep. 11 (2014), 2667-2756. doi: 10.4171/OWR/2014/48