ON RELATIONS BETWEEN A PRIORI BOUNDS FOR MEASURES ON CONFIGURATION SPACES

Some a priori bounds for measures on configuration spaces are considered. We establish relations between them and consequences for corresponding measures (such as support properties etc.). Applications to Gibbs measures are discussed.

[1]  Tobias Kuna,et al.  HARMONIC ANALYSIS ON CONFIGURATION SPACE I: GENERAL THEORY , 2002 .

[2]  J. Lebowitz,et al.  Statistical mechanics of systems of unbounded spins , 1976 .

[3]  A characterization of first-order phase transitions for superstable interactions in classical statistical mechanics , 1993 .

[4]  T. Kuna,et al.  Analytic aspects of Poissonian white noise analysis , 2002 .

[5]  A. Lenard,et al.  States of classical statistical mechanical systems of infinitely many particles. II. Characterization of correlation measures , 1975 .

[6]  Uniqueness of Gibbs State for Nonideal Gas in ℝd: The Case of Pair Potentials , 1999 .

[7]  P. Smedt,et al.  The superstability of pair-potentials of positive type , 1984 .

[8]  Fermion and boson random point processes as particle distributions of infinite free Fermi and Bose gases of finite density , 2001, math-ph/0112006.

[9]  Hans-Otto Georgii,et al.  Gibbs Measures and Phase Transitions , 1988 .

[10]  Inclusion-exclusion and point processes , 1991 .

[11]  Sergio Albeverio,et al.  Analysis and Geometry on Configuration Spaces , 1998 .

[12]  J. Ginibre.  On the asymptotic exactness of the Bogoliubov approximation for many boson systems , 1968 .

[13]  A. Lenard,et al.  States of classical statistical mechanical systems of infinitely many particles. I , 1975 .

[14]  David Ruelle,et al.  Superstable interactions in classical statistical mechanics , 1970 .

[15]  Sergio Albeverio,et al.  Analysis and Geometry on Configuration Spaces: The Gibbsian Case☆ , 1998 .