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Random Walk in Random and Non-Random Environments

Pál Révész
Publisher: 
World Scientific
Publication Date: 
2013
Number of Pages: 
402
Format: 
Hardcover
Edition: 
3
Price: 
86.00
ISBN: 
9789814447508
Category: 
Monograph
We do not plan to review this book.
  • Simple Symmetric Random Walk in ℤ1:
    • Introduction of Part I
    • Distributions
    • Recurrence and the Zero-One Law
    • From the Strong Law of Large Numbers to the Law of Iterated Logarithm
    • Lévy Classes
    • Wiener Process and Invariance Principle
    • Increments
    • Strassen Type Theorems
    • Distribution of the Local Time
    • Local Time and Invariance Principle
    • Strong Theorems of the Local Time
    • Excursions
    • Frequently and Rarely Visited Sites
    • An Embedding Theorem
    • A Few Further Results
    • Summary of Part I
  • Simple Symmetric Random Walk in ℤd:
    • The Recurrence Theorem
    • Wiener Process and Invariance Principle
    • The Law of Iterated Logarithm
    • Local Time
    • The Range
    • Heavy Points and Heavy Balls
    • Crossing and Self-crossing
    • Large Covered Balls
    • Long Excursions
    • Speed of Escape
    • A Few Further Problems
  • Random Walk in Random Environment:
    • Introduction of Part III
    • In the First Six Days
    • After the Sixth Day
    • What Can a Physicist Say About the Local Time ξ(0,n)?
    • On the Favourite Value of the RWIRE
    • A Few Further Problems
  • Random Walks in Graphs:
    • Introduction of Part IV
    • Random Walk in Comb
    • Random Walk in a Comb and in a Brush with Crossings
    • Random Walk on a Spider
    • Random Walk in Half-Plane-Half-Comb