### Project 02: "Probabilistic methods in combinatorial number theory"

*This project was running from 2010 until 2014.*

Principal investigator: István Berkes

Graz University of Technology, Austria.

He is now associated scientist in project 9.

### DK Student

**First phase of the doctoral program:****Marko Raseta**(Serbia; October 2010–June 2014)

*Email*: raseta@tugraz.at

*Mentors*: Robert Tichy, Peter Grabner.

*PhD Defense*: June 10, 2014.

*Referees*: I. Berkes, E. Csáki (Budapest), S. Hörmann (Bruxelles).

*Examiners*: I. Berkes, S. Hörmann (Bruxelles).

### Associated Students

**First phase of the doctoral program:****Alina Bazarova**(Russia; October 2010–June 2014)

*Email*: bazarova@tugraz.at

*Mentors:*Robert Tichy, Wolfgang Woess.

*PhD Defense*: June 18, 2014.

*Referees*: I. Berkes, L. Horváth (Utah), P. Kokoszka (Colorado).

*Examiners*: I. Berkes, L. Horváth (Utah).

### Project description

The research interests of Istvan Berkes comprise the following areas. Firstly, he is interested in probability theory, in particular, asymptotic theory of independent, exchangeable, stable and mixing processes, invariance principles and path-wise central limit theory play a role in his research. Moreover, he has several research papers in analysis dealing with random phenomena for lacunary series, discrepancy theory, applications of probability theory in analysis, pseudo-randomness, metric entropy. Besides that he works in mathematical statistics (limit theorems, statistical inference, empirical processes) and econometrics (nonlinear time series, long range dependence).