Project Details
Projekt
Biased Random Walks and Exclusion Processes on Random Graphs
Subject Area
Mathematics
Term
since 2023
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 531531628
>We consider random spanning trees of ladder graphs or lattices, as well as point processes in d-dimensional space. They serve as random environments for biased random walks or exclusion processes. We plan to investigate (1) the speed of the random walk as a function of the bias; (2) the speed of the tagged particle in the exclusion process; (3) limit laws for the position of the walker or tagged particle, respectively. For spanning trees of integer lattices, we plan to consider "outwards biased'' random walks and study the same questions. We plan to investigate biased random walks on point processes, generalizing the one-dimensional results in earlier work by Faggionato, Gantert and Salvi to the multidimensional case.
DFG Programme
Priority Programmes
Subproject of
SPP 2265:
Random geometric systems
