Metastability. A potential-theoretic approach

Front Matter....Pages I-XXI
Front Matter....Pages 1-1
Background and Motivation....Pages 3-13
Aims and Scopes....Pages 15-23
Front Matter....Pages 25-25
Some Basic Notions from Probability Theory....Pages 27-61
Markov Processes in Discrete Time....Pages 63-78
Markov Processes in Continuous Time....Pages 79-123
Large Deviations....Pages 125-143
Potential Theory....Pages 145-185
Front Matter....Pages 187-187
Key Definitions and Basic Properties....Pages 189-226
Basic Techniques....Pages 227-243
Front Matter....Pages 245-245
Discrete Reversible Diffusions....Pages 247-263
Diffusion Processes with Gradient Drift....Pages 265-304
Stochastic Partial Differential Equations....Pages 305-321
Front Matter....Pages 323-323
The Curie-Weiss Model....Pages 325-330
The Curie-Weiss Model with a Random Magnetic Field: Discrete Distributions....Pages 331-344
The Curie-Weiss Model with Random Magnetic Field: Continuous Distributions....Pages 345-380
Front Matter....Pages 381-381
Abstract Set-Up and Metastability in the Zero-Temperature Limit....Pages 383-408
Glauber Dynamics....Pages 409-424
Kawasaki Dynamics....Pages 425-457
Front Matter....Pages 459-459
Glauber Dynamics....Pages 461-477
Kawasaki Dynamics....Pages 479-507
Front Matter....Pages 509-509
The Zero-Range Process....Pages 511-541
Front Matter....Pages 543-543
Challenges Within Metastability....Pages 545-558
Challenges Beyond Metastability....Pages 559-563
Back Matter....Pages 565-581