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Analytic Combinatorics and Probabilistic Number Theory

Summer School on Dynamical Systems and Number Theory, Graz, 2007

July 9-13, 2007

Technische Universität Graz
Institut für Mathematik
Steyrergasse 30
A-8010 Graz, Austria

This summer school is organised as a part of the National Research Network ``Analytic Combinatorics and Probabilistic Number Theory'' supported by the Austrian Science Foundation.


The purpose of the summer school is to introduce and enlighten the powerful interplay between dynamical systems and number theory. The four courses focus on different recent research developments in that direction. The summer school is therefore designed for PhD-students and young Post-Docs with some background in ergodic theory and number theory.


Lecture A: Vitaly Bergelson Ramsey Theory, Uniform Distribution, and Ergodic Theory
Lecture B: Manfred Einsiedler Dynamics on locally homogeneous spaces
Lecture C: Douglas Lind Dynamics, Algebra, and Number Theory
Lecture D: Thomas Ward Dynamical properties of commuting automorphisms


(Preliminary) notes for the Tom Ward's lectures are available here.
The slides of Doug Lind's lectures are available here.



The (preliminary) program of the school is available here.

Useful informations

We have collected some informations that might be useful during your visit to Graz on this sheet.


The poster of the summer school is available here:
small version (74Kb)
full size version (940Kb)


Applications for participation in this summer school should be sent by email to . The application includes a CV, a short description of research interests and a letter of recommendation.


The Summer School can offer support for accommodation (hotel including breakfast, Sunday July 8 to Saturday, July 14, 2007) for a limited number of participants. It cannot give any support for travel expenses. Please indicate in the application for participation, whether you also apply for support.


Organizing Committee



Participants will be accomodated in Hotel Academia.

For directions from the railway station to Hotel Academia, see here.

How to get to school

Hotel Academia is located very close to the tramway station "Schönbrunngasse" of line number 1. In order to go to the venue of the summer school, take this tramway in direction "Eggenberg/UKH" and exit at "Kaiser-Josef-Platz/Oper". Then follow "Mandellstraße", until it changes its name to "Petersgasse". The campus is then on the right. The walk takes approximately 10 minutes.

Otherwise exit the tramway at "Jakominiplatz" and change to line number 6 in direction "St. Peter". Exit at "Neue Technik". Then follow "Steyrergasse" uphill to your left, until you reach number 30.

Each possibility by tramway takes around 20 minutes.

If you intend to use the tramway for commuting, we recommend buying a seven-day ticket for 9.20€.
For more information on the public transportation system (including schedules of all tramway and bus lines) we refer to the homepage of "Grazer Verkehrsbetriebe" (in German).

It takes around 40 minutes to walk from Hotel Academia to the campus.

For orientation we refer to the online map of Graz.


For Wednesday afternoon we plan an excursion to nearby Mount Schöckl. We will go by bus to a trail-head, hike up to the summit (approximately 2 hours), after a rest on the summit we return on a shorter path (45 minutes) and take the bus back to Graz (around 8 pm). From the summit one has a nice view over the surrounding area. There are several restaurants, as well as a "summer toboggan run". The hiking tour follows a broad and simple path, nevertheless sports shoes or hiking boots are recommended for this tour. The costs for this excursion are 10€.


With approximately 230.000 inhabitants, Graz is the 2nd largest city of Austria, situated in the region of Styria, 180 km (110 miles) south-west of Vienna. It has four universities (the University, the University of Technology,the Medical University of Graz, and the University of Music and Dramatic Arts), a pleasant old center that is not yet overcrowded by tourists.

The airport of Graz can be reached via Düsseldorf, Frankfurt, Munich, Vienna, Zurich, ... and some other "hubs". By train, it takes 2 hours and 40 minutes from Vienna.

Travel Information

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