Título: Sharp asymptotic behavior for wetting models in (1+1)-dimension
Autores: Caravenna, Francesco; Universitaet Zuerich, Switzerland
Giacomin, Giambattista; Universite' Paris 7, France
Zambotti, Lorenzo; Politecnico di Milano, Italy
Fecha: 2006-01-01
Publicador: Electronic journal of probability
Fuente:
Tipo: Peer-reviewed Article

Tema: Wetting Transition; Critical Wetting; delta-Pinning Model; Renewal Theory; Fluctuation Theory for Random Walks
60K35; 60F10; 82B41
Descripción: We consider continuous and discrete (1+1)-dimensional wetting models which undergo a localization/delocalization phase transition. Using a simple approach based on Renewal Theory we determine the precise asymptotic behavior of the partition function, from which we obtain the scaling limits of the models and an explicit construction of the infinite volume measure in all regimes, including the critical one.
Idioma: No aplica

Artículos similares:

Lévy Classes and Self-Normalization por Khoshnevisan, Davar; University of Utah
Time-Space Analysis of the Cluster-Formation in Interacting Diffusions por Fleischmann, Klaus; Weierstrass Institute for Applied Analysis and Stochastics,Greven, Andreas; Universitat Erlangen-Nurnberg
Hausdorff Dimension of Cut Points for Brownian Motion por Lawler, Gregory F.; Duke University and Cornell University
Conditional Moment Representations for Dependent Random Variables por Bryc, Wlodzimierz; University of Cincinnati
Eigenvalue Expansions for Brownian Motion with an Application to Occupation Times por Bass, Richard F.; University of Washington,Burdzy, Krzysztof; University of Washington
Almost Sure Exponential Stability of Neutral Differential Difference Equations with Damped Stochastic Perturbations por Liao, Xiao Xin; University of Strathclyde,Mao, Xuerong; University of Strathclyde
Random Discrete Distributions Derived from Self-Similar Random Sets por Pitman, Jim; University of California, Berkeley,Yor, Marc; Université Pierre et Marie Curie
Quantitative Bounds for Convergence Rates of Continuous Time Markov Processes por Roberts, Gareth O.; University of Cambridge,Rosenthal, Jeffrey S.; University of Toronto
10 
Metastability of the Three Dimensional Ising Model on a Torus at Very Low Temperatures por Ben Arous, Gérard; Ecole Normale Supérieure,Cerf, Raphaël; Université Paris Sud