ProfessorGreg Pavliotis
Professor of Applied Mathematics
Department of Mathematics - Faculty of Natural Sciences
Orcid identifier0000-0002-3468-9227 (opens in a new tab)
- Professor of Applied MathematicsDepartment of Mathematics - Faculty of Natural Sciences
- 020 7594 8564 (Work)
- 736a, Huxley Building, South Kensington Campus, United Kingdom
RESEARCH
Overview
Statistical dynamics, McKean-Vlasov-Fokker-Planck equations. Global optimization, optimal control for PDEs and Machine Learning. Analysis, statistical inference and numerical methods for multiscale stochastic dynamical systems. Molecular dynamics and computational statistical mechanics.
Global optimization, optimal control for PDEs, machine learning: Development and analysis of global optimization algorithms. Optimal control for agent-based models and for McKean-Vlasov PDEs. Applications to learning algorithms.
Numerical Analysis and Statistical Inference: Parameter estimation for multiscale diffusions and for McKean SDEs.
Markov Chain Monte Carlo: Development and analysis of accelerated sampling techniques. MCMC for multiscale probability measures. Computational statistical mechanics.
Diffusion processes and stochastic differential equations: spectral theory for hypoelliptic operators, asymptotic problems for non-Markovian processes, averaging/homogenization for SDEs.
Statistical mechanics: dynamical density functional theory, mean field limits for interacting diffusions, nonequilibrium statistical mechanics, kinetic theory and transport processes.
Statistical dynamics, McKean-Vlasov-Fokker-Planck equations. Global optimization, optimal control for PDEs and Machine Learning. Analysis, statistical inference and numerical methods for multiscale stochastic dynamical systems. Molecular dynamics and computational statistical mechanics.
Global optimization, optimal control for PDEs, machine learning: Development and analysis of global optimization algorithms. Optimal control for agent-based models and for McKean-Vlasov PDEs. Applications to learning algorithms.
Numerical Analysis and Statistical Inference: Parameter estimation for multiscale diffusions and for McKean SDEs.
Markov Chain Monte Carlo: Development and analysis of accelerated sampling techniques. MCMC for multiscale probability measures. Computational statistical mechanics.
Diffusion processes and stochastic differential equations: spectral theory for hypoelliptic operators, asymptotic problems for non-Markovian processes, averaging/homogenization for SDEs.
Statistical mechanics: dynamical density functional theory, mean field limits for interacting diffusions, nonequilibrium statistical mechanics, kinetic theory and transport processes.
GRANTS
- GRANTStatistical mechanics of soft matter: Derivation, analysis and implementation of dynamic density functional theoriesEngineering & Physical Science Research Council (EPSRC)30 Nov 2014 - 29 Nov 2017
- GRANTActive-dissipative nonlinear spatially extended media: Complexity, coarse-graining, multiscale analysis and numerical methodsEngineering & Physical Science Research Council (EPSRC)1 Oct 2010 - 31 Mar 2014
- OTHER AWARDMachine-Aided General Framework for Fluctuating Dynamic Density Functional TheoryEU Underwrite - EPSRC
- PROGRAMME GRANTMultiscale Analysis of Complex Interfacial Phenomena (MACIPh): Coarse graining, Molecular modelling, stochasticity, and experimentationEngineering & Physical Science Research Council (EPSRC)