MARIE CURIE TRAINING SITE
(under 5th framework programme of the European Community)
Banach Center
for Differential Equations, Functional Analysis
and Stochastic Processes
Mathematics in Twenty First Century
Postgraduate program in Warsaw
The Banach Center of the Institute of Mathematics of the Polish Academy of Sciences, together with the Interdisciplinary Centre of the Mathematical and Computational Modelling of the Warsaw University (ICM) invites Ph.D. students for research visits. Candidates are expected to spend up to one year at the Center during the period 2000 - 2004.
The following topics will be covered (in parentheses the names of some experts in the Training Site in the respective areas are given):
- Partial differential equations: equations of fluid, stochastic equations, Sobolev and other function spaces, equations with infinite number of variables (B. Bojarski, W. Zajaczkowski).
- Control and system theory: stochastic systems, nonlinear control, nonholonomic systems, filtering theory, Markov decision processes, one-dimensional real and complex iterations, deterministic chaos, fractals, strange attractors, bifurcations (J. Zabczyk, L. Stettner, F. Przytycki, B. Jakubczyk).
- Functional analysis: convexity and probabilistic methods in Banach spaces theory, theory of wavelets, general spectral theory, small denominators, linearisation, resonances (P. Wojtaszczyk, Z. Ciesielski, A. Pelczynski, P. Mankiewicz).
- Stochastic processes: financial models, asymptotic and ergodic properties, pricing of financial derivatives, portfolio management (J. Zabczyk, L. Stettner).
- Mathematical biology, neural networks (A. Lasota, R. Rudnicki), membrane systems, mathematical aspects and applications of membrane computing (A. Obtulowicz).
- Mathematical modelling of complex nonlinear structure formation phenomena for technology, environment and biosciences (M. Niezgodka, ICM)
The Institute hosting the training site is the largest and most active mathematical centre between Berlin and Moscow. As such it provides an important opportunity for visiting fellows, exposing them to new trends in pure and applied mathematics. In particular it provides:
- An opportunity to work with active mathematicians - experts in the areas of the proposal.
- Learning new ideas and techniques.
- Obtaining new results with the assistance of the research group.
- Scientifically profiting from numerous activities at the Banach Center, leading to professional development of fellows.
- Opportunity to perform simulation and numerical modelling with the use of supercomputer facilities.
- Access to one of the richest mathematical libraries in Europe.
- Gaining important personal national and international contacts with leading mathematicians.
Financial assistance for a limited number of fellows will be provided (1200 Euro/month + travel support).
Cost of life in Warsaw. A limited number of rooms at the IMPAN building are available (400 Euro +7% VAT per month). Cost of renting studio in the city, not in the very centre, is roughly the same. Food is slightly cheaper than in EU countries.
Who is eligible.
- The fellow must be a national of a Member State of the Community or residing in the Community for at least the last five years.
- Each project must be carried out in a country other than the fellow's country of nationality and his/her recent centre of activity. A recent centre of activity is defined as a country where the fellow has been carrying out his/her normal activity for more than 12 months in the two years immediately prior to the selection. The project must be carried out in a country other than that where the fellow normally pursues his/her doctoral studies.
- There are certain limitations for the total period of holding fellowship of the Community.
- The fellow must have postgraduate level scientific qualifications: young researchers holding a degree obtained from a university or equivalent institution of higher education, which qualifies the holder to embark directly on a doctorate or equivalent degree. The fellow must pursue doctoral studies in the topics of the site.
- The fellow must be of age 35 years or less (exceptions for military service or childcare).