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Dr Upanshu Sharma

Dr Upanshu Sharma

Lecturer
Science
School of Mathematics & Statistics

Since 2023, I am a lecturer at theÌýSchool of Mathematics and Statistics,ÌýÁñÁ«¹ÙÍø Sydney.ÌýÌý

During 2021-2022, I was a HumboldtÌýResearch Fellow jointly at theÌýComputational Statistical and Biological Physics groupÌý(FU Berlin)Ìýand theÌýStochastics and Applications groupÌý(BTU Cottbus-Senftenberg).ÌýDuring 2019-2020 I was a PostDocÌýat theÌýInstitute of MathematicsÌý(FU Berlin) andÌýduring 2017-2019 I was a PostDoc atÌýCERMICSÌý(École des Ponts ParisTech). I defended myÌýPhD thesisÌýin 2017 atÌýCASAÌý(TU Eindhoven).Ìý

My research lies at the intersection ofÌýpartial differential equations, probability theory and computational statistical mechanics. The general themes of my research are

  • Coarse-graining of stochastic dynamics and associated evolution equations

  • Connection between large deviations and variational structures for evolution equations arising from stochastic particle systemsÌý

  • Sampling algorithms for molecular dynamics

For more information see my .Ìý

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E-mail
upanshu.sharma@unsw.edu.au
Location
School of Mathematics and Statistics, Anita B. Lawrence Centre (H13) - Room 4112, ÁñÁ«¹ÙÍø Sydney, NSW 2052
  • Journal articles | 2024
    Hilder B; Sharma U, 2024, 'QUANTITATIVE COARSE-GRAINING OF MARKOV CHAINS', SIAM Journal on Mathematical Analysis, 56, pp. 913 - 954,
    Journal articles | 2024
    Patterson RIA; Renger DRM; Sharma U, 2024, 'Variational Structures Beyond Gradient Flows: a Macroscopic Fluctuation-Theory Perspective', Journal of Statistical Physics, 191,
    Journal articles | 2023
    Renger DRM; Sharma U, 2023, 'Untangling dissipative and Hamiltonian effects in bulk and boundary-driven systems', Physical Review E, 108,
    Journal articles | 2022
    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,
    Journal articles | 2021
    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,
    Journal articles | 2021
    Sharma U; Zhang W, 2021, 'NonReversible Sampling Schemes on Submanifolds', SIAM Journal on Numerical Analysis, 59, pp. 2989 - 3031,
    Journal articles | 2020
    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,
    Journal articles | 2020
    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,
    Journal articles | 2019
    Legoll F; Lelièvre T; Sharma U, 2019, 'Effective dynamics for non-reversible stochastic differential equations: a quantitative study', Nonlinearity, 32, pp. 4779 - 4816,
    Journal articles | 2018
    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,
    Journal articles | 2017
    Duong MH; Lamacz A; Peletier MA; Sharma U, 2017, 'Variational approach to coarse-graining of generalized gradient flows.', Calc Var Partial Differ Equ, 56, pp. 100,
    Journal articles | 2015
    Sharma U; Duits R, 2015, 'Left-invariant evolutions of wavelet transforms on the similitude group', Applied and Computational Harmonic Analysis, 39, pp. 110 - 137,
  • Preprints | 2022
    Hilder B; Sharma U, 2022, Quantitative coarse-graining of Markov chains, ,
    Preprints | 2022
    Montefusco A; Sharma U; Tse O, 2022, Fourier-Cattaneo equation: stochastic origin, variational formulation, and asymptotic limits, ,
    Preprints | 2022
    Renger DRM; Sharma U, 2022, Untangling Dissipative and Hamiltonian effects in bulk and boundary driven systems, ,
    Preprints | 2021
    Breiten T; Hartmann C; Neureither L; Sharma U, 2021, Stochastic gradient descent and fast relaxation to thermodynamic equilibrium: a stochastic control approach,
    Preprints | 2021
    Patterson RIA; Renger DRM; Sharma U, 2021, Variational structures beyond gradient flows: a macroscopic fluctuation-theory perspective, ,
    Preprints | 2020
    Sharma U; Zhang W, 2020, Non-reversible sampling schemes on submanifolds, ,
    Preprints | 2019
    Hartmann C; Neureither L; Sharma U, 2019, Coarse-graining of non-reversible stochastic differential equations: quantitative results and connections to averaging, ,
    Preprints | 2018
    Hilder B; Peletier MA; Sharma U; Tse O, 2018, An inequality connecting entropy distance, Fisher Information and large deviations, ,
    Preprints | 2018
    Legoll F; Lelièvre T; Sharma U, 2018, Effective dynamics for non-reversible stochastic differential equations: a quantitative study,
    Preprints | 2017
    Duong MH; Lamacz A; Peletier MA; Schlichting A; Sharma U, 2017, Quantification of coarse-graining error in Langevin and overdamped Langevin dynamics,
    Preprints | 2015
    Duong MH; Lamacz A; Peletier MA; Sharma U, 2015, Variational approach to coarse-graining of generalized gradient flows, ,
    Preprints | 2013
    Sharma U; Duits R, 2013, Left-invariant evolutions of wavelet transforms on the Similitude Group, ,