Non-classical interacting random walks

Ziel

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.

Wissenschaftliches Gebiet

Schlüsselbegriffe

Finanzierungsplan

ERC-SG - ERC Starting Grant

Gastgebende Einrichtung

EBERHARD KARLS UNIVERSITAET TUEBINGEN

EU-Beitrag

€ 500 000,00

Adresse

GESCHWISTER-SCHOLL-PLATZ
72074 Tuebingen
Deutschland

Region

Baden-Württemberg Tübingen Tübingen, Landkreis

Aktivitätstyp

Higher or Secondary Education Establishments

Hauptforscher

Martin Paul Wilhelm Zerner (Prof.)

Kontakt Verwaltung

Elisabeth Baier (Ms.)

Links

Die Organisation kontaktieren Website

Gesamtkosten

Keine Daten

Begünstigte (1)