Eigenvalues, Inequalities, and Ergodic Theory

• Κύριος συγγραφέας: Chen, Mu-Fa (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: London : Springer London, 2005.
• Σειρά: Probability and Its Applications,
• Θέματα: Mathematics.; Probabilities.; Probability Theory and Stochastic Processes.

A problem of broad interest – the estimation of the spectral gap for matrices or differential operators (Markov chains or diffusions) – is covered in this book. The area has a wide range of applications, and provides a tool to describe the phase transitions and the effectiveness of random algorithms...

Πίνακας περιεχομένων:

• An Overview of the Book
• Optimal Markovian Couplings
• New Variational Formulas for the First Eigenvalue
• Generalized Cheeger’s Method
• Ten Explicit Criteria in Dimension One
• Poincaré-Type Inequalities in Dimension One
• Functional Inequalities
• A Diagram of Nine Types of Ergodicity
• Reaction-Diffusion Processes
• Stochastic Models of Economic Optimization.