3 papers
math.PR2026
Realisation of constraints in underdamped Langevin dynamics
Carsten Hartmann, Lara Neureither, Upanshu Sharma
This article deals with the realisation of constraints in underdamped Langevin dynamics via soft-constrained dynamics. Specifically, we study systems with a large (or small) parame…
math.PR2026
Non-equilibrium functional inequalities for finite Markov chains
Bastian Hilder, Patrick van Meurs, Upanshu Sharma
Functional inequalities such as the Poincaré and log-Sobolev inequalities quantify convergence to equilibrium in continuous-time Markov chains by linking generator properties to v…
math.PR2025
Affine constraints in non-reversible diffusions with degenerate noise
Carsten Hartmann, Lara Neureither, Upanshu Sharma
This paper deals with the realisation of affine constraints on nonreversible stochastic differential equations (SDE) by strong confining forces. We prove that the confined dynamics…