Random Walk in Random and Non-Random Environments

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 ℤ^d:
- 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