Cécile Monthus

collaborators

3 papers

cond-mat.stat-mech2026

On the role of the slowest observable in one-dimensional Markov processes to construct quasi-exactly-solvable generators with $N = 2$ explicit levels

Cecile Monthus

The construction of Quasi-Exactly-Solvable quantum Hamiltonians where only the two first eigenstates $I^¦_{0} (x)$ and $I^¦_{1} (x)$ of energies $E_{0}$ and $E_{1}$ are explicit is revisited f…

cond-mat.stat-mech2025

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 $(x, x ~)$ is revisited via the spectral decompositions of the…

cond-mat.stat-mech2025

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 $t$ , the non-linear differential RG-flow for the energy $E_{t} [I ¨ (.)]$ translates for the prob…

On the role of the slowest observable in one-dimensional Markov processes to construct quasi-exactly-solvable generators with N=2 explicit levels

Markov dualities via the spectral decompositions of the two Markov generators in their bi-orthogonal basis of right and left eigenvectors

Journey from the Wilson exact RG towards the Wegner-Morris Fokker-Planck RG and the Carosso field-coarsening via Langevin stochastic processes

On the role of the slowest observable in one-dimensional Markov processes to construct quasi-exactly-solvable generators with $N = 2$ explicit levels