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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
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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.


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
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