536 citations · 1.2k across the 34 of their papers we have counts for
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Interplay between Markovianity and Progressive Quenching
Charles Moslonka, Ken Sekimoto
Progressive quenching (PQ) is a process in which we sequentially fix a system's degrees of freedom, which would otherwise evolve according to their stochastic dynamics. Previous st…
Martingale drift of Langevin dynamics and classical canonical spin statistics
Ken Sekimoto
The martingale characterizes a kind of fairness or unbiased nature of the stochastic process which is associated with another stochastic process. If evolves according to the…
Derivation of the First Passage Time Distribution for Markovian Process on Discrete Network
Ken Sekimoto
Based on the analysis of probability flow, where the First Passage (FP) is realised as the sink of probability, we summarise the protocol to find the distribution of the First Pass…
Martingale-induced local invariance in Progressive Quenching
Charles Moslonka, Ken Sekimoto
Progressive quenching (PQ) is a stochastic process during which one fixes, one after another, the degrees of freedom of a globally coupled Ising spin system while letting it therma…
Memory Through a Hidden Martingale Process in Progressive Quenching
Charles Moslonka, Ken Sekimoto
Progressive quenching (PQ) is the stochastic process in which the system's degrees of freedom are sequentially fixed. While such process does not satisfy the local detailed balance…
Progressive quenching --- Ising chain models
Michael Etienne, Ken Sekimoto
Of the Ising spin chain with the nearest neighbor or up to the second nearest neighbor interactions, we fixed progressively either a single spin or a pair of neighboring spins at t…