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Quasi-stationary distribution for strongly Feller Markov processes by Lyapunov functions and applications to hypoelliptic Hamiltonian systems

Journal of the European Mathematical Society : JEMS, 2024-01, Vol.26 (8), p.3047-3090

2024

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Exit Time and Principal Eigenvalue of Non-reversible Elliptic Diffusions

Communications in mathematical physics, 2024-09, Vol.405 (9), Article 202

2024

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Low-Lying Eigenvalues and Convergence to the Equilibrium of Some Piecewise Deterministic Markov Processes Generators in the Small Temperature Regime

Annales Henri Poincaré, 2020-11, Vol.21 (11), p.3575-3608

2020

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The exit from a metastable state: concentration of the exit point distribution on the low energy saddle points, part 2

Stochastic partial differential equations : analysis and computations, 2022-03, Vol.10 (1), p.317-357

2022

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Mean exit time for the overdamped Langevin process: the case with critical points on the boundary

Communications in partial differential equations, 2021-09, Vol.46 (9), p.1789-1829

Nectoux, Boris

2021

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Recent advances in the long-time analysis of killed degenerate processes and their particle approximation

ESAIM. Proceedings and surveys, 2023-01, Vol.75, p.60-85

2023

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Quasi-stationary distribution for Hamiltonian dynamics with singular potentials

Probability theory and related fields, 2023-04, Vol.185 (3-4), p.921-959

2023

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Quasi-stationary distribution for Hamiltonian dynamics with singular potentials

Probability theory and related fields, 2022-07

2022

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Repartition of the Quasi-stationary Distribution and First Exit Point Density for a Double-Well Potential

SIAM journal on mathematical analysis, 2020-01, Vol.52 (1), p.581-604

2020

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The exit from a metastable state: Concentration of the exit point distribution on the low energy saddle points, part 1

Journal de mathématiques pures et appliquées, 2020-06, Vol.138, p.242-306

2020

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Jump Markov models and transition state theory: the quasi-stationary distribution approach

Faraday discussions, 2016-01, Vol.195 (9), p.469-495

2016

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Small eigenvalues of the Witten Laplacian with Dirichlet boundary conditions: the case with critical points on the boundary

Analysis & PDE, 2021-01, Vol.14 (8), p.2595-2651

2021

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Sharp Asymptotics of the First Exit Point Density

Annals of PDE, 2019-06, Vol.5 (1), p.5, Article 5

2019

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Exit Event from a Metastable State and Eyring-Kramers Law for the Overdamped Langevin Dynamics

Stochastic Dynamics Out of Equilibrium, 2019, Vol.282, p.331-363

2019

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Varia

Archéologie médiévale, 2008

2008

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Quasi-stationary distribution for strongly Feller Markov processes by Lyapunov functions and applications to hypoelliptic Hamiltonian systems

Exit Time and Principal Eigenvalue of Non-reversible Elliptic Diffusions

Low-Lying Eigenvalues and Convergence to the Equilibrium of Some Piecewise Deterministic Markov Processes Generators in the Small Temperature Regime

The exit from a metastable state: concentration of the exit point distribution on the low energy saddle points, part 2

Mean exit time for the overdamped Langevin process: the case with critical points on the boundary

Recent advances in the long-time analysis of killed degenerate processes and their particle approximation

Quasi-stationary distribution for Hamiltonian dynamics with singular potentials

Quasi-stationary distribution for Hamiltonian dynamics with singular potentials

Repartition of the Quasi-stationary Distribution and First Exit Point Density for a Double-Well Potential

The exit from a metastable state: Concentration of the exit point distribution on the low energy saddle points, part 1

Jump Markov models and transition state theory: the quasi-stationary distribution approach

Small eigenvalues of the Witten Laplacian with Dirichlet boundary conditions: the case with critical points on the boundary

Sharp Asymptotics of the First Exit Point Density

Exit Event from a Metastable State and Eyring-Kramers Law for the Overdamped Langevin Dynamics

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