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math.PR2023
Continuous-time vertex-reinforced random walks on complete-like graphs
Shuo Qin, Pierre Tarres
We introduce the continuous-time vertex-reinforced random walk (cVRRW) as a continuous-time version of the vertex-reinforced random walk (VRRW), which might open a new perspective…
math.PR2023
Non-convergence to unstable equilibriums for continuous-time and discrete-time stochastic processes
Olivier Raimond, Pierre Tarres
We prove non-convergence theorems towards an unstable equilibrium (or a trap) for stochastic processes. The processes we consider are continuous-time or discrete-time processes and…