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Potential Theory and Stochastics in Albac: Aurel Cornea Memorial Volume
Edited by: Dominique Bakry, Université Paul Sabatier, Toulouse, France, Lucian Beznea, Romanian Academy, Institute of Mathematics, Bucharest, Romania, Nicu Boboc, University of Bucharest, Romania, and Michael Röckner, Bielefeld University, Germany
A publication of the Theta Foundation.
 International Book Series of Mathematical Texts 2009; 246 pp; hardcover ISBN-10: 973-87899-5-8 ISBN-13: 978-973-87899-5-1 List Price: US$57 Member Price: US$45.60 Order Code: THETA/14 This volume contains the proceedings of the Potential Theory and Stochastics Conference, which was held in Albac, Romania, from September 4 to 8, 2007. It is also intended as a memorial volume for Aurel Cornea. Besides a presentation of the life and work of Aurel Cornea, it includes twenty refereed papers of the participants, covering the main topics of the conference: geometric aspects in potential theory, Dirichlet structures and stochastic analysis, potential theoretical methods for the analysis of infinite dimensional processes, stochastic partial differential equations, non-linear partial differential equations and potential theory. A publication of the Theta Foundation. Distributed worldwide, except in Romania, by the AMS. Readership Graduate students and research mathematicians interested in potential theory. Table of Contents D. Bakry, F. Baudoin, M. Bonnefont, and B. Qian -- Subelliptic Li-Yau estimates on three dimensional spaces V. Barbu, P. Blanchard, G. Da Prato, and M. Röckner -- Self-organized criticality via stochastic partial differential equations K. Ben Ali and M. Bezzarga -- On a nonhomogenous quasilinear problem in Sobolev spaces with variable exponent M. Biroli -- $$\Gamma$$-convergence for strongly local Dirichlet forms in open sets with holes H.-P. Blatt -- Divergence of rational approximants to non-analytic functions N. Boboc and G. Bucur -- Non-symmtetric resistance forms S.-L. Eriksson and H. Leutwiler -- Hyperbolic harmonic functions and their function theory M. Fukushima -- On extended Dirichlet spaces and the space of BL functions S. J. Gardiner and T. Sjödin -- Partial balayage and the exterior inverse problem of potential theory M. Ghergu and V. Rădulescu -- The influence of the distance function in some singular elliptic problems K. GowriSankaran -- A Fatou type theorem for multiply superharmonic functions Z.-C. Hu, Z.-M. Ma, and W. Sun -- Some remarks on representations of non-symmetric local Dirichlet forms N. Jacob, A. Potrykus, and M. Schicks -- Operators associated with multi-parameter families of probability measures K. Kuwae -- Jensen's inequality over $$\mathrm{CAT}(\kappa)$$-space with small diameter P. A. Loeb -- Rich measure spaces Y. Mizuta, T. Ohno, and T. Shimomura -- Integrability of maximal functions for generalized Lebesque spaces $$L{^p}^{(\cdot)}(\mathrm{log}\thinspace L){^q}^{(\cdot)}$$ M. N. Pascu -- Probabilistic approaches to monotonicity and maximum principles E. Popa -- Polyinvariant elements in a semi-dynamical system W. Stannat -- Lipschitz continuity of the pseudo resolvent of the stochastic Burgers equation C. Udrea -- Excessive functions with respect to Monge-Ampére resolvents and concave functions