3 papers
math.PR2023
Interacting Edge-Reinforced Random Walks
Nina Gantert, Fabian Michel, Guilherme Reis
We consider the edge-reinforced random walk with multiple (but finitely many) walkers which influence the edge weights together. The walker which moves at a given time step is chos…
math.PR2023
Variations on Reinforced Random Walks
Fabian Michel
This thesis examines edge-reinforced random walks with some modifications to the standard definition. An overview of known results relating to the standard model is given and the p…
math.PR2023
Linearly Edge-Reinforced Random Walks
Fabian Michel
This thesis examines linearly edge-reinforced random walks on infinite trees. In particular, recurrence and transience of such random walks on general (fixed) trees as well as on G…