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Non-classical interacting random walks

Objective

The proposed project deals with various topics in the area of random walks (RWs) which interact with their own history and/or a possibly non-homogeneous, random environment. Such models arise from physics and other natural sciences as simplified models of complex phenomena and have recently attracted a lot of attention. They include: (a) Self-interacting RWs, i.e. RWs with memory, for example excited RWs, self-avoiding RWs, and RWs arising from two dimensional statistical mechanics models like Lorentz lattice gas models. (b) RWs in random media, for example RWs in random environments (RWRE), RWs on percolation clusters, and RWs in random potentials. Some of the problems to be considered concern recurrence and transience properties, laws of large numbers, ballistic versus sub-ballistic behavior, zero-one laws, scaling properties, other asymptotic properties, the relation between quenched and annealed behavior and monotonicity properties.

Field of science

  • /natural sciences/physical sciences/classical mechanics/statistical mechanics
  • /social sciences/law
  • /natural sciences

Call for proposal

ERC-2007-StG
See other projects for this call

Funding Scheme

ERC-SG - ERC Starting Grant

Host institution

EBERHARD KARLS UNIVERSITAET TUEBINGEN
Address
Geschwister-scholl-platz
72074 Tuebingen
Germany
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 500 000
Principal investigator
Martin Paul Wilhelm Zerner (Prof.)
Administrative Contact
Elisabeth Baier (Ms.)

Beneficiaries (1)

EBERHARD KARLS UNIVERSITAET TUEBINGEN
Germany
EU contribution
€ 500 000
Address
Geschwister-scholl-platz
72074 Tuebingen
Activity type
Higher or Secondary Education Establishments
Principal investigator
Martin Paul Wilhelm Zerner (Prof.)
Administrative Contact
Elisabeth Baier (Ms.)