Non-classical interacting random walks

Obiettivo

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.

Campo scientifico

Parole chiave

Meccanismo di finanziamento

ERC-SG - ERC Starting Grant

Istituzione ospitante

EBERHARD KARLS UNIVERSITAET TUEBINGEN

Contributo UE

€ 500 000,00

Indirizzo

GESCHWISTER-SCHOLL-PLATZ
72074 Tuebingen
Germania

Regione

Baden-Württemberg Tübingen Tübingen, Landkreis

Tipo di attività

Higher or Secondary Education Establishments

Ricercatore principale

Martin Paul Wilhelm Zerner (Prof.)

Contatto amministrativo

Elisabeth Baier (Ms.)

Collegamenti

Contatta l’organizzazione Sito web

Costo totale

Nessun dato

Beneficiari (1)