Sharrock, Louis; Kantas, Nikolas; Parpas, Panos; Pavliotis, Grigorios A. Online parameter estimation for the McKean-Vlasov stochastic differential equation. (English) Zbl 1518.60033 Stochastic Processes Appl. 162, 481-546 (2023). MSC: 60F05 60F25 60H10 62F12 PDFBibTeX XMLCite \textit{L. Sharrock} et al., Stochastic Processes Appl. 162, 481--546 (2023; Zbl 1518.60033) Full Text: DOI arXiv
Pavliotis, Grigorios A.; Zanoni, Andrea Eigenfunction martingale estimators for interacting particle systems and their mean field limit. (English) Zbl 1505.35334 SIAM J. Appl. Dyn. Syst. 21, No. 4, 2338-2370 (2022). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q83 60J60 62M15 65C30 35P15 35R60 PDFBibTeX XMLCite \textit{G. A. Pavliotis} and \textit{A. Zanoni}, SIAM J. Appl. Dyn. Syst. 21, No. 4, 2338--2370 (2022; Zbl 1505.35334) Full Text: DOI arXiv
Delgadino, Matias G.; Gvalani, Rishabh S.; Pavliotis, Grigorios A. On the diffusive-mean field limit for weakly interacting diffusions exhibiting phase transitions. (English) Zbl 07364831 Arch. Ration. Mech. Anal. 241, No. 1, 91-148 (2021). MSC: 47Hxx 49Jxx 28Axx 49-XX 35Kxx PDFBibTeX XMLCite \textit{M. G. Delgadino} et al., Arch. Ration. Mech. Anal. 241, No. 1, 91--148 (2021; Zbl 07364831) Full Text: DOI arXiv
Lucarini, Valerio; Pavliotis, Grigorios A.; Zagli, Niccolò Response theory and phase transitions for the thermodynamic limit of interacting identical systems. (English) Zbl 1472.82026 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2244, Article ID 20200688, 27 p. (2020). MSC: 82C26 60H10 82C22 82C31 PDFBibTeX XMLCite \textit{V. Lucarini} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2244, Article ID 20200688, 27 p. (2020; Zbl 1472.82026) Full Text: DOI arXiv
Gomes, S. N.; Pavliotis, G. A.; Vaes, U. Mean field limits for interacting diffusions with colored noise: phase transitions and spectral numerical methods. (English) Zbl 1453.35165 Multiscale Model. Simul. 18, No. 3, 1343-1370 (2020). MSC: 35Q70 35Q83 35Q84 65N35 65M70 82B26 PDFBibTeX XMLCite \textit{S. N. Gomes} et al., Multiscale Model. Simul. 18, No. 3, 1343--1370 (2020; Zbl 1453.35165) Full Text: DOI arXiv
Gomes, S. N.; Pavliotis, G. A. Mean field limits for interacting diffusions in a two-scale potential. (English) Zbl 1394.35494 J. Nonlinear Sci. 28, No. 3, 905-941 (2018). MSC: 35Q70 35Q83 35Q84 82B26 82B80 82C31 PDFBibTeX XMLCite \textit{S. N. Gomes} and \textit{G. A. Pavliotis}, J. Nonlinear Sci. 28, No. 3, 905--941 (2018; Zbl 1394.35494) Full Text: DOI arXiv
Joubaud, R.; Pavliotis, G. A.; Stoltz, G. Langevin dynamics with space-time periodic nonequilibrium forcing. (English) Zbl 1317.82042 J. Stat. Phys. 158, No. 1, 1-36 (2015). MSC: 82C31 60F17 60J60 60J65 PDFBibTeX XMLCite \textit{R. Joubaud} et al., J. Stat. Phys. 158, No. 1, 1--36 (2015; Zbl 1317.82042) Full Text: DOI arXiv
Duncan, A. B.; Elliott, C. M.; Pavliotis, G. A.; Stuart, A. M. A multiscale analysis of diffusions on rapidly varying surfaces. (English) Zbl 1311.35324 J. Nonlinear Sci. 25, No. 2, 389-449 (2015). MSC: 35Q92 60H30 35B27 PDFBibTeX XMLCite \textit{A. B. Duncan} et al., J. Nonlinear Sci. 25, No. 2, 389--449 (2015; Zbl 1311.35324) Full Text: DOI arXiv Link
Nolen, James; Pavliotis, Grigorios A.; Stuart, Andrew M. Multiscale modelling and inverse problems. (English) Zbl 1245.76107 Graham, Ivan G. (ed.) et al., Numerical analysis of multiscale problems. Selected papers based on the presentations at the 91st London Mathematical Society symposium, Durham, UK, July 5–15, 2010. Berlin: Springer (ISBN 978-3-642-22060-9/hbk; 978-3-642-22061-6/ebook). Lecture Notes in Computational Science and Engineering 83, 1-34 (2012). MSC: 76M25 35R30 PDFBibTeX XMLCite \textit{J. Nolen} et al., Lect. Notes Comput. Sci. Eng. 83, 1--34 (2012; Zbl 1245.76107) Full Text: DOI arXiv Link
Pavliotis, G. A.; Stuart, A. M. Periodic homogenization for inertial particles. (English) Zbl 1100.82023 Physica D 204, No. 3-4, 161-187 (2005). Reviewer: Eckhard Giere (Clausthal-Zellerfeld) MSC: 82C70 82C80 35B27 76M35 76M50 76F25 PDFBibTeX XMLCite \textit{G. A. Pavliotis} and \textit{A. M. Stuart}, Physica D 204, No. 3--4, 161--187 (2005; Zbl 1100.82023) Full Text: DOI arXiv Link