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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 va…