Edit Profile (opens in new tab) Pavliotis, Grigorios A. Compute Distance To: Compute Author ID: pavliotis.grigorios-a Published as: Pavliotis, G. A.; Pavliotis, Grigorios A.; Pavliotis, Grigorios Documents Indexed: 74 Publications since 2002, including 2 Books Co-Authors: 52 Co-Authors with 61 Joint Publications 1,382 Co-Co-Authors all top 5 Co-Authors 3 single-authored 13 Stuart, Andrew M. 12 Kalliadasis, Serafim 6 Papageorgiou, Demetrios T. 5 Gomes, Susana N. 5 Hairer, Martin 5 Pradas, Marc 4 Abdulle, Assyr 4 Duncan, Andrew B. 4 Schmuck, Markus 4 Vaes, U. 3 Blömker, Dirk 3 Carrillo de la Plata, José Antonio 3 Gvalani, Rishabh S. 3 Latorre, Juan Cristobal 3 Ottobre, Michela 2 Delgadino, Matias Gonzalo 2 Goddard, Benjamin D. 2 Kramer, Peter Roland 2 Krumscheid, Sebastian 2 Lelièvre, Tony 2 Nüsken, Nikolas 2 Pravda-Starov, Karel 2 Savva, Nikos 2 Tomlin, Ruben J. 2 Zygalakis, Konstantinos C. 1 Band, Leah R. 1 Bonnaillie-Noël, Virginie 1 Borovykh, Anastasia 1 Coti Zelati, Michele 1 Cotter, Colin John 1 Craster, Richard V. 1 Cuthbertson, Charles 1 Duong, Manh Hong 1 Durán-Olivencia, Miguel A. 1 Ellam, Louis 1 Elliott, Charles M. 1 Gibbon, John D. 1 Girolami, Mark A. 1 Gooding, B. 1 Goudon, Thierry 1 Guenneau, Sebastien R. L. 1 Hartmann, Carsten 1 Holmes, Mark H. 1 Hutridurga, H. R. 1 Joubaud, Rémi 1 Kevrekidis, Ioannis George 1 Lucarini, Valerio 1 Nier, Francis 1 Olhede, Sofia Charlotta 1 Papaefthymiou, E. S. 1 Parpas, Panos 1 Pokern, Yvo 1 Pozharskiy, Dmitry 1 Pruessner, Gunnar 1 Rafailidis, Avraam 1 Rubin, Katy J. 1 Schlichting, André 1 Stoltz, Gabriel 1 Sykulski, Adam M. 1 Thiffeault, Jean-Luc 1 Tseluiko, Dmitri 1 Vilmart, Gilles 1 Wiberg, Petter 1 Wichrowski, Noah J. 1 Wilson, Alan Geoffrey 1 Zagli, Niccolò 1 Zanoni, Andrea 1 Zhang, Wei all top 5 Serials 9 Journal of Statistical Physics 7 Multiscale Modeling & Simulation 5 IMA Journal of Applied Mathematics 4 Journal of Computational Physics 4 Journal of Fluid Mechanics 4 Physica D 3 Nonlinearity 3 Journal of Nonlinear Science 3 Communications in Mathematical Sciences 2 Archive for Rational Mechanics and Analysis 2 Journal of Functional Analysis 2 SIAM Journal on Applied Dynamical Systems 2 Texts in Applied Mathematics 2 Journal of Computational Dynamics 2 SIAM/ASA Journal on Uncertainty Quantification 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Communications in Mathematical Physics 1 IMA Journal of Numerical Analysis 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Physics Letters. A 1 Applied Mathematics Letters 1 European Journal of Applied Mathematics 1 Stochastic Processes and their Applications 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 International Journal of Theoretical and Applied Finance 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Physics A: Mathematical and Theoretical 1 Statistics and Computing all top 5 Fields 38 Probability theory and stochastic processes (60-XX) 33 Partial differential equations (35-XX) 23 Statistical mechanics, structure of matter (82-XX) 17 Numerical analysis (65-XX) 17 Fluid mechanics (76-XX) 9 Statistics (62-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Ordinary differential equations (34-XX) 3 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Geophysics (86-XX) 3 Operations research, mathematical programming (90-XX) 3 Systems theory; control (93-XX) 2 Mechanics of deformable solids (74-XX) 1 Measure and integration (28-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 67 Publications have been cited 888 times in 535 Documents Cited by ▼ Year ▼ Multiscale methods. Averaging and homogenization. Zbl 1160.35006Pavliotis, Grigorios A.; Stuart, Andrew M. 240 2008 Stochastic processes and applications. Diffusion processes, the Fokker-Planck and Langevin equations. Zbl 1318.60003Pavliotis, Grigorios A. 110 2014 Variance reduction using nonreversible Langevin samplers. Zbl 1343.82036Duncan, A. B.; Lelièvre, T.; Pavliotis, G. A. 35 2016 Optimal non-reversible linear drift for the convergence to equilibrium of a diffusion. Zbl 1276.82042Lelièvre, T.; Nier, F.; Pavliotis, G. A. 31 2013 Parameter estimation for multiscale diffusions. Zbl 1137.82016Pavliotis, G. A.; Stuart, A. M. 31 2007 Exponential return to equilibrium for hypoelliptic quadratic systems. Zbl 1256.47032Ottobre, M.; Pavliotis, G. A.; Pravda-Starov, K. 23 2012 Asymptotic analysis for the generalized Langevin equation. Zbl 1221.82076Ottobre, M.; Pavliotis, G. A. 23 2011 Maximum likelihood drift estimation for multiscale diffusions. Zbl 1171.62047Papavasiliou, A.; Pavliotis, G. A.; Stuart, A. M. 22 2009 Multiscale analysis for stochastic partial differential equations with quadratic nonlinearities. Zbl 1138.60004Blömker, D.; Hairer, M.; Pavliotis, G. A. 18 2007 White noise limits for inertial particles in a random field. Zbl 1038.60060Pavliotis, G. A.; Stuart, A. M. 17 2003 Periodic homogenization for hypoelliptic diffusions. Zbl 1130.82026Hairer, M.; Pavliotis, G. A. 17 2004 From ballistic to diffusive behavior in periodic potentials. Zbl 1152.82015Hairer, M.; Pavliotis, G. A. 16 2008 Derivation of effective macroscopic Stokes-Cahn-Hilliard equations for periodic immiscible flows in porous media. Zbl 1302.76184Schmuck, Markus; Pradas, Marc; Pavliotis, Grigorios A.; Kalliadasis, Serafim 15 2013 Optimizing the source distribution in fluid mixing. Zbl 1388.76088Thiffeault, Jean-Luc; Pavliotis, Grigorios A. 13 2008 Long-time behaviour and phase transitions for the McKean-Vlasov equation on the torus. Zbl 1436.58025Carrillo, J. A.; Gvalani, R. S.; Pavliotis, G. A.; Schlichting, A. 13 2020 Stabilizing non-trivial solutions of the generalized Kuramoto-Sivashinsky equation using feedback and optimal control. Zbl 1406.35276Gomes, Susana N.; Papageorgiou, Demetrios T.; Pavliotis, Grigorios A. 12 2017 Mean field limits for interacting diffusions in a two-scale potential. Zbl 1394.35494Gomes, S. N.; Pavliotis, G. A. 11 2018 Modulation equations: Stochastic bifurcation in large domains. Zbl 1084.60038Blömker, D.; Hairer, M.; Pavliotis, G. A. 11 2005 The overdamped limit of dynamic density functional theory: rigorous results. Zbl 1264.82090Goddard, B. D.; Pavliotis, G. A.; Kalliadasis, S. 10 2012 Some remarks on degenerate hypoelliptic Ornstein-Uhlenbeck operators. Zbl 1316.35092Ottobre, M.; Pavliotis, G. A.; Pravda-Starov, K. 10 2015 Upscaled phase-field models for interfacial dynamics in strongly heterogeneous domains. Zbl 1371.76141Schmuck, Markus; Pradas, Marc; Pavliotis, Grigorios A.; Kalliadasis, Serafim 10 2012 Periodic homogenization for inertial particles. Zbl 1100.82023Pavliotis, G. A.; Stuart, A. M. 9 2005 Analysis of white noise limits for stochastic systems with two fast relaxation times. Zbl 1091.60006Pavliotis, G. A.; Stuart, A. M. 9 2005 Semiparametric drift and diffusion estimation for multiscale diffusions. Zbl 1411.60085Krumscheid, S.; Pavliotis, G. A.; Kalliadasis, S. 9 2013 Corrections to Einstein’s relation for Brownian motion in a tilted periodic potential. Zbl 1268.82025Latorre, J. C.; Pavliotis, G. A.; Kramer, P. R. 9 2013 Numerical methods for stochastic partial differential equations with multiple scales. Zbl 1429.65013Abdulle, A.; Pavliotis, G. A. 8 2012 Additive noise effects in active nonlinear spatially extended systems. Zbl 1279.60081Pradas, M.; Pavliotis, G. A.; Kalliadasis, S.; Papageorgiou, D. T.; Tseluiko, D. 8 2012 Calculating effective diffusivities in the limit of vanishing molecular diffusion. Zbl 1161.65007Pavliotis, G. A.; Stuart, A. M.; Zygalakis, K. C. 8 2009 Multiscale modelling and inverse problems. Zbl 1245.76107Nolen, James; Pavliotis, Grigorios A.; Stuart, Andrew M. 8 2012 Optimal control of multiscale systems using reduced-order models. Zbl 1303.93187Hartmann, Carsten; Latorre, Juan C.; Zhang, Wei; Pavliotis, Grigorios A. 7 2014 Spectral methods for multiscale stochastic differential equations. Zbl 1398.65313Abdulle, Assyr; Pavliotis, G. A.; Vaes, U. 7 2017 Asymptotic analysis of the Green-Kubo formula. Zbl 1223.35045Pavliotis, G. A. 7 2010 A new mode reduction strategy for the generalized Kuramoto-Sivashinsky equation. Zbl 1328.35238Schmuck, M.; Pradas, M.; Pavliotis, G. A.; Kalliadasis, S. 7 2015 Three-dimensional wave evolution on electrified falling films. Zbl 1383.76553Tomlin, R. J.; Papageorgiou, D. T.; Pavliotis, G. A. 7 2017 Using perturbed underdamped Langevin dynamics to efficiently sample from probability distributions. Zbl 1387.35580Duncan, A. B.; Nüsken, N.; Pavliotis, G. A. 6 2017 A multiscale approach to Brownian motors. Zbl 1194.60057Pavliotis, G. A. 6 2005 Homogenization for inertial particles in a random flow. Zbl 1133.60338Pavliotis, G. A.; Stuart, A. M.; Zygalakis, K. C. 6 2007 Efficient numerical calculation of drift and diffusion coefficients in the diffusion approximation of kinetic equations. Zbl 1433.82009Bonnaillie-Noël, V.; Carrillo, J. A.; Goudon, T.; Pavliotis, G. A. 5 2016 Contact lines over random topographical substrates. I: Statics. Zbl 1225.76284Savva, Nikos; Pavliotis, Grigorios A.; Kalliadasis, Serafim 5 2011 Frequency domain estimation of integrated volatility for Itô processes in the presence of market-microstructure noise. Zbl 1190.62182Olhede, S. C.; Sykulski, A. M.; Pavliotis, G. A. 5 2010 Mean field limits for non-Markovian interacting particles: convergence to equilibrium, generic formalism, asymptotic limits and phase transitions. Zbl 1411.35135Duong, Manh Hong; Pavliotis, Grigorios A. 5 2018 A new framework for extracting coarse-grained models from time series with multiscale structure. Zbl 1352.62136Kalliadasis, S.; Krumscheid, S.; Pavliotis, G. A. 4 2015 Effective macroscopic interfacial transport equations in strongly heterogeneous environments for general homogeneous free energies. Zbl 1320.35051Schmuck, Markus; Pavliotis, Grigorios A.; Kalliadasis, Serafim 4 2014 Nonlinear interfacial dynamics in stratified multilayer channel flows. Zbl 1294.76105Papaefthymiou, E. S.; Papageorgiou, D. T.; Pavliotis, G. A. 4 2013 Estimating eddy diffusivities from noisy Lagrangian observations. Zbl 1183.62143Cotter, C. J.; Pavliotis, G. A. 4 2009 Monte Carlo studies of effective diffusivities for inertial particles. Zbl 1130.76063Pavliotis, G. A.; Stuart, A. M.; Band, L. 3 2006 Contact lines over random topographical substrates. II: Dynamics. Zbl 1225.76285Savva, Nikos; Pavliotis, Grigorios A.; Kalliadasis, Serafim 3 2011 Estimates for the two-dimensional Navier-Stokes equations in terms of the Reynolds number. Zbl 1144.81348Gibbon, J. D.; Pavliotis, G. A. 3 2007 Instability, rupture and fluctuations in thin liquid films: theory and computations. Zbl 1412.82033Durán-Olivencia, Miguel A.; Gvalani, Rishabh S.; Kalliadasis, Serafim; Pavliotis, Grigorios A. 3 2019 Langevin dynamics with space-time periodic nonequilibrium forcing. Zbl 1317.82042Joubaud, R.; Pavliotis, G. A.; Stoltz, G. 3 2015 Cloaking via mapping for the heat equation. Zbl 1401.35142Craster, R. V.; Guenneau, Sebastien R. L.; Hutridurga, H. R.; Pavliotis, G. A. 3 2018 Scaling limits for the generalized Langevin equation. Zbl 1473.35057Pavliotis, G. A.; Stoltz, G.; Vaes, U. 3 2021 A \(\lambda\)-convexity based proof for the propagation of chaos for weakly interacting stochastic particles. Zbl 1459.60005Carrillo, J. A.; Delgadino, M. G.; Pavliotis, G. A. 2 2020 Asymptotic analysis for foreign exchange derivatives with stochastic volatility. Zbl 1291.91204Cuthbertson, Charles; Pavliotis, Grigorios; Rafailidis, Avraam; Wiberg, Petter 2 2010 A multiscale analysis of diffusions on rapidly varying surfaces. Zbl 1311.35324Duncan, A. B.; Elliott, C. M.; Pavliotis, G. A.; Stuart, A. M. 2 2015 Mapping multiplicative to additive noise. Zbl 1291.82091Rubin, Katy J.; Pruessner, Gunnar; Pavliotis, Grigorios A. 2 2014 Some remarks on stabilization by additive noise. Zbl 1279.60076Blömker, Dirk; Hairer, Martin; Pavliotis, Grigorios A. 2 2010 Controlling roughening processes in the stochastic Kuramoto-Sivashinsky equation. Zbl 1376.93119Gomes, S. N.; Kalliadasis, S.; Papageorgiou, D. T.; Pavliotis, G. A.; Pradas, M. 2 2017 On the diffusive-mean field limit for weakly interacting diffusions exhibiting phase transitions. Zbl 07364831Delgadino, Matias G.; Gvalani, Rishabh S.; Pavliotis, Grigorios A. 2 2021 Constructing sampling schemes via coupling: Markov semigroups and optimal transport. Zbl 1454.60118Nüsken, N.; Pavliotis, G. A. 1 2019 Manifold learning for accelerating coarse-grained optimization. Zbl 1450.37082Pozharskiy, Dmitry; Wichrowski, Noah J.; Duncan, Andrew B.; Pavliotis, Grigorios A.; Kevrekidis, Ioannis G. 1 2020 Accelerated convergence to equilibrium and reduced asymptotic variance for Langevin dynamics using Stratonovich perturbations. (Convergence accélérée vers l’équilibre et variance asymptotique réduite pour la dynamique de Langevin à l’aide de perturbations de Stratonovich.) Zbl 07066212Abdulle, Assyr; Pavliotis, Grigorios A.; Vilmart, Gilles 1 2019 A perturbation-based numerical method for solving a three-dimensional axisymmetric indentation problem. Zbl 1036.74040Pavliotis, Grigorios A.; Holmes, Mark H. 1 2002 Optimal control of thin liquid films and transverse mode effects. Zbl 1411.76010Tomlin, Ruben J.; Gomes, Susana N.; Pavliotis, Grigorios A.; Papageorgiou, Demetrios T. 1 2019 Parameter estimation for multiscale diffusions: an overview. Zbl 1375.62022Pavliotis, Grigorios A.; Pokern, Yvo; Stuart, Andrew M. 1 2012 Homogenization and hypocoercivity for Fokker-Planck equations driven by weakly compressible shear flows. Zbl 1462.35399Coti Zelati, Michele; Pavliotis, Grigorios A. 1 2020 On stochastic mirror descent with interacting particles: convergence properties and variance reduction. Zbl 07479442Borovykh, A.; Kantas, N.; Parpas, P.; Pavliotis, G. A. 1 2021 Scaling limits for the generalized Langevin equation. Zbl 1473.35057Pavliotis, G. A.; Stoltz, G.; Vaes, U. 3 2021 On the diffusive-mean field limit for weakly interacting diffusions exhibiting phase transitions. Zbl 07364831Delgadino, Matias G.; Gvalani, Rishabh S.; Pavliotis, Grigorios A. 2 2021 On stochastic mirror descent with interacting particles: convergence properties and variance reduction. Zbl 07479442Borovykh, A.; Kantas, N.; Parpas, P.; Pavliotis, G. A. 1 2021 Long-time behaviour and phase transitions for the McKean-Vlasov equation on the torus. Zbl 1436.58025Carrillo, J. A.; Gvalani, R. S.; Pavliotis, G. A.; Schlichting, A. 13 2020 A \(\lambda\)-convexity based proof for the propagation of chaos for weakly interacting stochastic particles. Zbl 1459.60005Carrillo, J. A.; Delgadino, M. G.; Pavliotis, G. A. 2 2020 Manifold learning for accelerating coarse-grained optimization. Zbl 1450.37082Pozharskiy, Dmitry; Wichrowski, Noah J.; Duncan, Andrew B.; Pavliotis, Grigorios A.; Kevrekidis, Ioannis G. 1 2020 Homogenization and hypocoercivity for Fokker-Planck equations driven by weakly compressible shear flows. Zbl 1462.35399Coti Zelati, Michele; Pavliotis, Grigorios A. 1 2020 Instability, rupture and fluctuations in thin liquid films: theory and computations. Zbl 1412.82033Durán-Olivencia, Miguel A.; Gvalani, Rishabh S.; Kalliadasis, Serafim; Pavliotis, Grigorios A. 3 2019 Constructing sampling schemes via coupling: Markov semigroups and optimal transport. Zbl 1454.60118Nüsken, N.; Pavliotis, G. A. 1 2019 Accelerated convergence to equilibrium and reduced asymptotic variance for Langevin dynamics using Stratonovich perturbations. (Convergence accélérée vers l’équilibre et variance asymptotique réduite pour la dynamique de Langevin à l’aide de perturbations de Stratonovich.) Zbl 07066212Abdulle, Assyr; Pavliotis, Grigorios A.; Vilmart, Gilles 1 2019 Optimal control of thin liquid films and transverse mode effects. Zbl 1411.76010Tomlin, Ruben J.; Gomes, Susana N.; Pavliotis, Grigorios A.; Papageorgiou, Demetrios T. 1 2019 Mean field limits for interacting diffusions in a two-scale potential. Zbl 1394.35494Gomes, S. N.; Pavliotis, G. A. 11 2018 Mean field limits for non-Markovian interacting particles: convergence to equilibrium, generic formalism, asymptotic limits and phase transitions. Zbl 1411.35135Duong, Manh Hong; Pavliotis, Grigorios A. 5 2018 Cloaking via mapping for the heat equation. Zbl 1401.35142Craster, R. V.; Guenneau, Sebastien R. L.; Hutridurga, H. R.; Pavliotis, G. A. 3 2018 Stabilizing non-trivial solutions of the generalized Kuramoto-Sivashinsky equation using feedback and optimal control. Zbl 1406.35276Gomes, Susana N.; Papageorgiou, Demetrios T.; Pavliotis, Grigorios A. 12 2017 Spectral methods for multiscale stochastic differential equations. Zbl 1398.65313Abdulle, Assyr; Pavliotis, G. A.; Vaes, U. 7 2017 Three-dimensional wave evolution on electrified falling films. Zbl 1383.76553Tomlin, R. J.; Papageorgiou, D. T.; Pavliotis, G. A. 7 2017 Using perturbed underdamped Langevin dynamics to efficiently sample from probability distributions. Zbl 1387.35580Duncan, A. B.; Nüsken, N.; Pavliotis, G. A. 6 2017 Controlling roughening processes in the stochastic Kuramoto-Sivashinsky equation. Zbl 1376.93119Gomes, S. N.; Kalliadasis, S.; Papageorgiou, D. T.; Pavliotis, G. A.; Pradas, M. 2 2017 Variance reduction using nonreversible Langevin samplers. Zbl 1343.82036Duncan, A. B.; Lelièvre, T.; Pavliotis, G. A. 35 2016 Efficient numerical calculation of drift and diffusion coefficients in the diffusion approximation of kinetic equations. Zbl 1433.82009Bonnaillie-Noël, V.; Carrillo, J. A.; Goudon, T.; Pavliotis, G. A. 5 2016 Some remarks on degenerate hypoelliptic Ornstein-Uhlenbeck operators. Zbl 1316.35092Ottobre, M.; Pavliotis, G. A.; Pravda-Starov, K. 10 2015 A new mode reduction strategy for the generalized Kuramoto-Sivashinsky equation. Zbl 1328.35238Schmuck, M.; Pradas, M.; Pavliotis, G. A.; Kalliadasis, S. 7 2015 A new framework for extracting coarse-grained models from time series with multiscale structure. Zbl 1352.62136Kalliadasis, S.; Krumscheid, S.; Pavliotis, G. A. 4 2015 Langevin dynamics with space-time periodic nonequilibrium forcing. Zbl 1317.82042Joubaud, R.; Pavliotis, G. A.; Stoltz, G. 3 2015 A multiscale analysis of diffusions on rapidly varying surfaces. Zbl 1311.35324Duncan, A. B.; Elliott, C. M.; Pavliotis, G. A.; Stuart, A. M. 2 2015 Stochastic processes and applications. Diffusion processes, the Fokker-Planck and Langevin equations. Zbl 1318.60003Pavliotis, Grigorios A. 110 2014 Optimal control of multiscale systems using reduced-order models. Zbl 1303.93187Hartmann, Carsten; Latorre, Juan C.; Zhang, Wei; Pavliotis, Grigorios A. 7 2014 Effective macroscopic interfacial transport equations in strongly heterogeneous environments for general homogeneous free energies. Zbl 1320.35051Schmuck, Markus; Pavliotis, Grigorios A.; Kalliadasis, Serafim 4 2014 Mapping multiplicative to additive noise. Zbl 1291.82091Rubin, Katy J.; Pruessner, Gunnar; Pavliotis, Grigorios A. 2 2014 Optimal non-reversible linear drift for the convergence to equilibrium of a diffusion. Zbl 1276.82042Lelièvre, T.; Nier, F.; Pavliotis, G. A. 31 2013 Derivation of effective macroscopic Stokes-Cahn-Hilliard equations for periodic immiscible flows in porous media. Zbl 1302.76184Schmuck, Markus; Pradas, Marc; Pavliotis, Grigorios A.; Kalliadasis, Serafim 15 2013 Semiparametric drift and diffusion estimation for multiscale diffusions. Zbl 1411.60085Krumscheid, S.; Pavliotis, G. A.; Kalliadasis, S. 9 2013 Corrections to Einstein’s relation for Brownian motion in a tilted periodic potential. Zbl 1268.82025Latorre, J. C.; Pavliotis, G. A.; Kramer, P. R. 9 2013 Nonlinear interfacial dynamics in stratified multilayer channel flows. Zbl 1294.76105Papaefthymiou, E. S.; Papageorgiou, D. T.; Pavliotis, G. A. 4 2013 Exponential return to equilibrium for hypoelliptic quadratic systems. Zbl 1256.47032Ottobre, M.; Pavliotis, G. A.; Pravda-Starov, K. 23 2012 The overdamped limit of dynamic density functional theory: rigorous results. Zbl 1264.82090Goddard, B. D.; Pavliotis, G. A.; Kalliadasis, S. 10 2012 Upscaled phase-field models for interfacial dynamics in strongly heterogeneous domains. Zbl 1371.76141Schmuck, Markus; Pradas, Marc; Pavliotis, Grigorios A.; Kalliadasis, Serafim 10 2012 Numerical methods for stochastic partial differential equations with multiple scales. Zbl 1429.65013Abdulle, A.; Pavliotis, G. A. 8 2012 Additive noise effects in active nonlinear spatially extended systems. Zbl 1279.60081Pradas, M.; Pavliotis, G. A.; Kalliadasis, S.; Papageorgiou, D. T.; Tseluiko, D. 8 2012 Multiscale modelling and inverse problems. Zbl 1245.76107Nolen, James; Pavliotis, Grigorios A.; Stuart, Andrew M. 8 2012 Parameter estimation for multiscale diffusions: an overview. Zbl 1375.62022Pavliotis, Grigorios A.; Pokern, Yvo; Stuart, Andrew M. 1 2012 Asymptotic analysis for the generalized Langevin equation. Zbl 1221.82076Ottobre, M.; Pavliotis, G. A. 23 2011 Contact lines over random topographical substrates. I: Statics. Zbl 1225.76284Savva, Nikos; Pavliotis, Grigorios A.; Kalliadasis, Serafim 5 2011 Contact lines over random topographical substrates. II: Dynamics. Zbl 1225.76285Savva, Nikos; Pavliotis, Grigorios A.; Kalliadasis, Serafim 3 2011 Asymptotic analysis of the Green-Kubo formula. Zbl 1223.35045Pavliotis, G. A. 7 2010 Frequency domain estimation of integrated volatility for Itô processes in the presence of market-microstructure noise. Zbl 1190.62182Olhede, S. C.; Sykulski, A. M.; Pavliotis, G. A. 5 2010 Asymptotic analysis for foreign exchange derivatives with stochastic volatility. Zbl 1291.91204Cuthbertson, Charles; Pavliotis, Grigorios; Rafailidis, Avraam; Wiberg, Petter 2 2010 Some remarks on stabilization by additive noise. Zbl 1279.60076Blömker, Dirk; Hairer, Martin; Pavliotis, Grigorios A. 2 2010 Maximum likelihood drift estimation for multiscale diffusions. Zbl 1171.62047Papavasiliou, A.; Pavliotis, G. A.; Stuart, A. M. 22 2009 Calculating effective diffusivities in the limit of vanishing molecular diffusion. Zbl 1161.65007Pavliotis, G. A.; Stuart, A. M.; Zygalakis, K. C. 8 2009 Estimating eddy diffusivities from noisy Lagrangian observations. Zbl 1183.62143Cotter, C. J.; Pavliotis, G. A. 4 2009 Multiscale methods. Averaging and homogenization. Zbl 1160.35006Pavliotis, Grigorios A.; Stuart, Andrew M. 240 2008 From ballistic to diffusive behavior in periodic potentials. Zbl 1152.82015Hairer, M.; Pavliotis, G. A. 16 2008 Optimizing the source distribution in fluid mixing. Zbl 1388.76088Thiffeault, Jean-Luc; Pavliotis, Grigorios A. 13 2008 Parameter estimation for multiscale diffusions. Zbl 1137.82016Pavliotis, G. A.; Stuart, A. M. 31 2007 Multiscale analysis for stochastic partial differential equations with quadratic nonlinearities. Zbl 1138.60004Blömker, D.; Hairer, M.; Pavliotis, G. A. 18 2007 Homogenization for inertial particles in a random flow. Zbl 1133.60338Pavliotis, G. A.; Stuart, A. M.; Zygalakis, K. C. 6 2007 Estimates for the two-dimensional Navier-Stokes equations in terms of the Reynolds number. Zbl 1144.81348Gibbon, J. D.; Pavliotis, G. A. 3 2007 Monte Carlo studies of effective diffusivities for inertial particles. Zbl 1130.76063Pavliotis, G. A.; Stuart, A. M.; Band, L. 3 2006 Modulation equations: Stochastic bifurcation in large domains. Zbl 1084.60038Blömker, D.; Hairer, M.; Pavliotis, G. A. 11 2005 Periodic homogenization for inertial particles. Zbl 1100.82023Pavliotis, G. A.; Stuart, A. M. 9 2005 Analysis of white noise limits for stochastic systems with two fast relaxation times. Zbl 1091.60006Pavliotis, G. A.; Stuart, A. M. 9 2005 A multiscale approach to Brownian motors. Zbl 1194.60057Pavliotis, G. A. 6 2005 Periodic homogenization for hypoelliptic diffusions. Zbl 1130.82026Hairer, M.; Pavliotis, G. A. 17 2004 White noise limits for inertial particles in a random field. Zbl 1038.60060Pavliotis, G. A.; Stuart, A. M. 17 2003 A perturbation-based numerical method for solving a three-dimensional axisymmetric indentation problem. Zbl 1036.74040Pavliotis, Grigorios A.; Holmes, Mark H. 1 2002 all cited Publications top 5 cited Publications all top 5 Cited by 872 Authors 30 Pavliotis, Grigorios A. 16 Kalliadasis, Serafim 14 Spiliopoulos, Konstantinos V. 12 Carrillo de la Plata, José Antonio 11 Stuart, Andrew M. 9 Wehr, Jan 8 Abdulle, Assyr 8 Papageorgiou, Demetrios T. 8 Stoltz, Gabriel 7 Blömker, Dirk 7 Duncan, Andrew B. 7 Roberts, Anthony John 7 Schütte, Christof 6 Harlim, John 6 Hartmann, Carsten 6 Kevrekidis, Ioannis George 6 Koltai, Péter 6 Lu, Jianfeng 6 Savva, Nikos 6 Sharma, Upanshu 6 Temizer, Ilker 6 Thiffeault, Jean-Luc 6 Xie, Longjie 5 Birrell, Jeremiah 5 Bunder, J. E. 5 Chentouf, Boumediène 5 Froyland, Gary 5 Gomes, Susana N. 5 Gvalani, Rishabh S. 5 Iyer, Gautam 5 Kramer, Peter Roland 5 Li, Xiantao 5 Mohammed, Wael W. 5 Ottobre, Michela 5 Vaes, U. 4 Azencott, Robert 4 Bréhier, Charles-Edouard 4 Efendiev, Yalchin R. 4 Gailus, Siragan 4 Gottwald, Georg A. 4 Hairer, Martin 4 Hottovy, Scott 4 Kuske, Rachel A. 4 Lelièvre, Tony 4 Lim, Soon Hoe 4 Lucarini, Valerio 4 Nüsken, Nikolas 4 Reich, Sebastian 4 Röckner, Michael 4 Schlichting, André 4 Timofeyev, Ilya 4 Tzella, Alexandra 4 Vanneste, Jacques 4 Wriggers, Peter 4 Zhang, Zhiwen 4 Zimmer, Johannes 3 Barré, Julien 3 Bierkens, Joris 3 Bittracher, Andreas 3 Bo, Stefano 3 Bostan, Mihai 3 Choi, Young-Pil 3 Chung, Tsz Shun Eric 3 Daly, Keith R. 3 Degond, Pierre 3 Dobson, Paul W. 3 Doering, Charles Rogers 3 Engel, Maximilian 3 Engquist, Bjorn E. 3 Ferré, Grégoire 3 Gao, Hongjun 3 Goddard, Benjamin D. 3 Hwang, Chii-Ruey 3 Klus, Stefan 3 Kropat, Erik 3 Latorre, Juan Cristobal 3 Legoll, Frédéric 3 Leimkuhler, Benedict J. 3 Li, Xingyu 3 Margetis, Dionisios 3 Mckinley, Scott A. 3 Muntean, Adrian 3 Nguyen, Hung D. 3 Novikov, Alexei 3 Peletier, Mark Adriaan 3 Roose, Tiina 3 Samaey, Giovanni 3 Schmuck, Markus 3 Shi, Yangyang 3 Tomlin, Ruben J. 3 Uda, Kenneth 3 Vilmart, Gilles 3 Volpe, Giovanni 3 Wang, Zhongjian 3 Weare, Jonathan Quincy 3 Wouters, Jeroen 3 Xin, Jack X. 3 Yurk, Brian P. 3 Zhang, He 3 Zhang, Wei ...and 772 more Authors all top 5 Cited in 163 Serials 41 Journal of Statistical Physics 28 Multiscale Modeling & Simulation 27 Journal of Computational Physics 23 Journal of Fluid Mechanics 19 Physica D 12 Journal of Nonlinear Science 12 SIAM/ASA Journal on Uncertainty Quantification 11 Nonlinearity 11 Proceedings of the Royal Society of London. 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