37 citations · 61 across the 14 of their papers we have counts for
16 papers
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…
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…
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…
Fourier-Cattaneo equation: stochastic origin, variational formulation, and asymptotic limits
Alberto Montefusco, Upanshu Sharma, Oliver Tse
We introduce a variational structure for the Fourier-Cattaneo (FC) system which is a second-order hyperbolic system. This variational structure is inspired by the large-deviation r…
Untangling Dissipative and Hamiltonian effects in bulk and boundary driven systems
D. R. Michiel Renger, Upanshu Sharma
Using the theory of large deviations, macroscopic fluctuation theory provides a framework to understand the behaviour of non-equilibrium dynamics and steady states in diffusive sys…
Quantitative coarse-graining of Markov chains
Bastian Hilder, Upanshu Sharma
Coarse-graining techniques play a central role in reducing the complexity of stochastic models, and are typically characterised by a mapping which projects the full state of the sy…