**Lectures on Integrable Probability**

by Alexei Borodin, Vadim Gorin

**Publisher**: arXiv 2012**Number of pages**: 63

**Description**:

These are lecture notes for a mini-course given at the St. Petersburg School in Probability and Statistical Physics in June 2012. Topics include integrable models of random growth, determinantal point processes, Schur processes and Markov dynamics on them, Macdonald processes and their application to asymptotics of directed polymers in random media.

Download or read it online for free here:

**Download link**

(1.2MB, PDF)

## Similar books

**Discrete Distributions**

by

**Leif Mejlbro**-

**BookBoon**

From the table of contents: Some theoretical background; The binomial distribution; The Poisson distribution; The geometric distribution; The Pascal distribution; The negative binomial distribution; The hypergeometric distribution.

(

**8330**views)

**Random Graphs and Complex Networks**

by

**Remco van der Hofstad**-

**Eindhoven University of Technology**

These lecture notes are intended to be used for master courses, where the students have a limited prior knowledge of special topics in probability. We have included many of the preliminaries, such as convergence of random variables, etc.

(

**5692**views)

**Recent Progress on the Random Conductance Model**

by

**Marek Biskup**-

**arXiv**

Recent progress on understanding of the Random Conductance Model is reviewed and commented. A particular emphasis is on the results on the scaling limit of the random walk among random conductances for almost every realization of the environment.

(

**4872**views)

**Probability Course**

by

**Gian-Carlo Rota**-

**David Ellerman**

In 1999, Gian-Carlo Rota gave his famous course, Probability, at MIT for the last time. The late John N. Guidi taped the lectures and took notes which he then wrote up in a verbatim manner conveying the substance and the atmosphere of the course.

(

**2009**views)