By Dr Upanshu Sharma

Journal articles

Montefusco A; Sharma U; Tse O, 2026, '<!--StartFragment --><span class="cf0">Fourier-Cattaneo equation: stochastic origin, variational formulation, and asymptotic limits</span><!--EndFragment -->', Communications in Mathematical Sciences, 24, http://dx.doi.org/10.4310/cms.260102224911

Patterson RIA; Renger DRM; Sharma U, 2024, 'Variational Structures Beyond Gradient Flows: a Macroscopic Fluctuation-Theory Perspective', Journal of Statistical Physics, 191, http://dx.doi.org/10.1007/s10955-024-03233-8

Hilder B; Sharma U, 2024, 'QUANTITATIVE COARSE-GRAINING OF MARKOV CHAINS', SIAM Journal on Mathematical Analysis, 56, pp. 913 - 954, http://dx.doi.org/10.1137/22M1473996

Renger DRM; Sharma U, 2023, 'Untangling dissipative and Hamiltonian effects in bulk and boundary-driven systems', Physical Review E, 108, http://dx.doi.org/10.1103/PhysRevE.108.054123

Legoll F; Lelièvre T; Sharma U, 2022, 'AN ADAPTIVE PARAREAL ALGORITHM: APPLICATION TO THE SIMULATION OF MOLECULAR DYNAMICS TRAJECTORIES', SIAM Journal on Scientific Computing, 44, pp. B146 - B176, http://dx.doi.org/10.1137/21M1412979

Breiten T; Hartmann C; Neureither L; Sharma U, 2021, 'Stochastic gradient descent and fast relaxation to thermodynamic equilibrium: A stochastic control approach', Journal of Mathematical Physics, 62, http://dx.doi.org/10.1063/5.0051796

Sharma U; Zhang W, 2021, 'NONREVERSIBLE SAMPLING SCHEMES ON SUBMANIFOLDS', SIAM Journal on Numerical Analysis, 59, pp. 2989 - 3031, http://dx.doi.org/10.1137/20M1378752

Hilder B; Peletier MA; Sharma U; Tse O, 2020, 'An inequality connecting entropy distance, Fisher Information and large deviations', Stochastic Processes and their Applications, 130, pp. 2596 - 2638, http://dx.doi.org/10.1016/j.spa.2019.07.012

Hartmann C; Neureither L; Sharma U, 2020, 'Coarse graining of nonreversible stochastic differential equations: Quantitative results and connections to averaging', SIAM Journal on Mathematical Analysis, 52, pp. 2689 - 2733, http://dx.doi.org/10.1137/19M1299852

Legoll F; Lelièvre T; Sharma U, 2019, 'Effective dynamics for non-reversible stochastic differential equations: A quantitative study', Nonlinearity, 32, pp. 4779 - 4816, http://dx.doi.org/10.1088/1361-6544/ab34bf

Duong MH; Lamacz A; Peletier MA; Schlichting A; Sharma U, 2018, 'Quantification of coarse-graining error in Langevin and overdamped Langevin dynamics', Nonlinearity, 31, pp. 4517 - 4566, http://dx.doi.org/10.1088/1361-6544/aaced5

Duong MH; Lamacz A; Peletier MA; Sharma U, 2017, 'Variational approach to coarse-graining of generalized gradient flows', Calculus of Variations and Partial Differential Equations, 56, http://dx.doi.org/10.1007/s00526-017-1186-9

Sharma U; Duits R, 2015, 'Left-invariant evolutions of wavelet transforms on the similitude group', Applied and Computational Harmonic Analysis, 39, pp. 110 - 137, http://dx.doi.org/10.1016/j.acha.2014.09.001

Preprints

Hilder B; van Meurs P; Sharma U, 2026, Non-equilibrium functional inequalities for finite Markov chains, http://dx.doi.org/10.48550/arxiv.2602.17579

Hartmann C; Neureither L; Sharma U, 2025, Affine constraints in non-reversible diffusions with degenerate noise, http://arxiv.org/abs/2505.00243v1

Montefusco A; Sharma U; Tse O, 2022, Fourier-Cattaneo equation: stochastic origin, variational formulation, and asymptotic limits, http://arxiv.org/abs/2211.07265v1

Renger DRM; Sharma U, 2022, Untangling Dissipative and Hamiltonian effects in bulk and boundary driven systems, http://arxiv.org/abs/2205.05327v2

Hilder B; Sharma U, 2022, Quantitative coarse-graining of Markov chains, http://arxiv.org/abs/2201.10256v2

Patterson RIA; Renger DRM; Sharma U, 2021, Variational structures beyond gradient flows: a macroscopic fluctuation-theory perspective, http://arxiv.org/abs/2103.14384v2

Breiten T; Hartmann C; Neureither L; Sharma U, 2021, Stochastic gradient descent and fast relaxation to thermodynamic equilibrium: a stochastic control approach, http://dx.doi.org/10.1063/5.0051796

Sharma U; Zhang W, 2020, Non-reversible sampling schemes on submanifolds, http://arxiv.org/abs/2011.02835v2

Hartmann C; Neureither L; Sharma U, 2019, Coarse-graining of non-reversible stochastic differential equations: quantitative results and connections to averaging, http://arxiv.org/abs/1911.06081v2

Hilder B; Peletier MA; Sharma U; Tse O, 2018, An inequality connecting entropy distance, Fisher Information and large deviations, http://arxiv.org/abs/1812.04358v1

Legoll F; Lelièvre T; Sharma U, 2018, Effective dynamics for non-reversible stochastic differential equations: a quantitative study, http://dx.doi.org/10.1088/1361-6544/ab34bf

Duong MH; Lamacz A; Peletier MA; Schlichting A; Sharma U, 2017, Quantification of coarse-graining error in Langevin and overdamped Langevin dynamics, http://dx.doi.org/10.1088/1361-6544/aaced5

Duong MH; Lamacz A; Peletier MA; Sharma U, 2015, Variational approach to coarse-graining of generalized gradient flows, http://arxiv.org/abs/1507.03207v2

Duong MH; Peletier MA; Sharma U, 2014, Coarse-graining and fluctuations: Two birds with one stone, http://dx.doi.org/10.48550/arxiv.1404.1466

Sharma U; Duits R, 2013, Left-invariant evolutions of wavelet transforms on the Similitude Group, http://arxiv.org/abs/1306.1800v3

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