Fluctuations in Markov Processes Time Symmetry and Martingale Approximation /

• Κύριοι συγγραφείς: Komorowski, Tomasz (Συγγραφέας), Landim, Claudio (Συγγραφέας), Olla, Stefano (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012.
• Σειρά: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 345
• Θέματα: Mathematics.; Probabilities.; Mathematical physics.; Probability Theory and Stochastic Processes.; Mathematical Physics.

Diffusive phenomena in statistical mechanics and in other fields arise from markovian modeling and their study requires sophisticated mathematical tools. In infinite dimensional situations, time symmetry properties can be exploited in order to make martingale approximations, along the lines of the s...

Πίνακας περιεχομένων:

• Preface
• Part I: General Theory
• 1.A Warming-up Example
• 2.Central Limit Theorems
• 3.RandomWalks in Random Environment
• 4.Bounds and Variational Principles for the Asymptotic Variance
• Part II: Simple Exclusion Processes
• 5.The Simple Exclusion Process
• 6.Self Diffusion
• 7.Equilibrium Fluctuations of the Density Field
• 8.Regularity of the Asymptotic Variance
• Part III: Diffusions in Random Environments
• 10.Variational Principles for the Limiting Variance
• 11.Diffusions with Divergence Free Drifts
• 12.Diffusions with Gaussian Drifts
• 13.Ornstein-Uhlenbeck Process with a Random Potential
• 14.Analytic Methods in Homogenization Theory
• References
• Notation
• Subject Index.