Analytic Combinatorics and Probabilistic Number Theory

The National Research Network **Analytic Combinatorics and
Probabilistic Number
Theory** (2006-2011) is funded by the Austrian Science
Foundation FWF
and unites 11 research groups
in Austria (at TU Wien, at the University of Vienna, at the TU Graz, at
the University of Leoben, at the University of Linz and at the
University of Salzburg).

A major aspect of the network is to employ young researchers as Pre- and Post-Docs. Furthermore we run a guest program and organize conferences, workshops and summer schools.

The topics of the network range from Combinatorics to Number Theory. These are classical parts of mathematics that are still modern and active fields of research. In particular, during the last decades the development of computer science has opened up new fields of applications (for example in Cryptography) and several new theoretical questions (like complexity problems for algorithms) have come up and have influenced the field of research. In parallel classical methods of combinatorics and number theory are more and more complemented by probabilistic and analytic tools and by tools from dynamical systems in order to quantify various objects of combinatorial and number theoretic nature.

This interplay between discrete and continuous mathematics and between theory and applications has turned out to be very fruitful and is the driving force of many recent developments.

- July 2-6, 2012, Analytic Combinatorics and Probabilistic Number Theory: Closing Conference of the FWF-Networks.
- May 23-26, 2012, Statistical Models for Financial Data III.
- May 21-25, 2012, Periodic Orbits in Dynamical Systems.
- Oktober - November, 2011, ESI-Programme on "Combinatorics, Number Theory, and Dynamical Systems". (Workshops: October 10-14, November 14-18)
- July 7-8, 2011, Workshop on Computational Logics and Applications 2011

- July 4-8, 2011, Workshop on Topology of Wild Spaces and Fractals
- July 5-9, 2010, Conference on Uniform Distribution Theory
- June 28- July 2, 2010, AofA'10 (21st International Meeting on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms)
- July 6-10, 2009, Workshop on
Fractals and Tilings

- November 19-22, 2008, Workshop on Discrete Mathematics - TU Wien
- February - June, 2008, ESI-Programme on "Combinatorics and Statistical Physics". (Workshop: May 18-31, Summer School: July 7-18)
- July 2-4, 2008, Central European Conference on Cryptography
- July 9-13, 2007, Summer School on Dynamical Systems and Number Theory
- July 2-6, 2007, Workshop on Dynamical Systems and Number Theory
- April 16-20, 2007, Journees de Numeration - Graz
- July 16-22, 2006, Summer School and Workshop on Probabilistic Methods in Combinatorics
- February - May 2006, Erwin Schrödinger
Institute

**Diophantine Approximation and Heights**(D. Masser, H.P. Schlickewei)