7 citations · 11 across the 6 of their papers we have counts for
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Markov chains at the onset of non-reversibility
Gustave Robichon, Cecile Monthus, Werner Krauth
For a one-dimensional path graph and a lifted path graph constructed from a duplication of each of its sites, we study how a reversible Markov chain can be perturbed and gradually…
Using the slowest observable in one-dimensional Markov processes to construct quasi-exactly-solvable generators with two explicit levels
Cecile Monthus
The construction of Quasi-Exactly-Solvable quantum Hamiltonians where only the first two eigenstates and of energies and are explicit is revisited fro…
Markov dualities via the spectral decompositions of the two Markov generators in their bi-orthogonal basis of right and left eigenvectors
Cecile Monthus
The notion of Markov duality between two Markov processes that can live in two different configurations spaces is revisited via the spectral decompositions of the…
Journey from the Wilson exact RG towards the Wegner-Morris Fokker-Planck RG and the Carosso field-coarsening via Langevin stochastic processes
Cecile Monthus
Within the Wilson RG of 'incomplete integration' as a function of the effective RG-time , the non-linear differential RG-flow for the energy translates for the proba…
Markov generators as non-hermitian supersymmetric quantum Hamiltonians: spectral properties via bi-orthogonal basis and Singular Value Decompositions
Cecile Monthus
Continuity equations associated to continuous-time Markov processes can be considered as Euclidean Schrödinger equations, where the non-hermitian quantum Hamiltonian $\bold{H}={\bo…
A supersymmetric quantum perspective on the explicit large deviations for reversible Markov jump processes, with applications to pure and random spin chains
Cecile Monthus
The large deviations at various levels that are explicit for Markov jump processes satisfying detailed-balance are revisited in terms of the supersymmetric quantum Hamiltonian …
Large deviations and conditioning for chaotic non-invertible deterministic maps: analysis via the forward deterministic dynamics and the backward stochastic dynamics
Cecile Monthus
The large deviations properties of trajectory observables for chaotic non-invertible deterministic maps as studied recently by N. R. Smith, Phys. Rev. E 106, L042202 (2022) and by…