Moderate deviations for fully coupled multiscale weakly interacting particle systems
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[1] Xiaobin Sun,et al. Well-posedness and averaging principle of McKean-Vlasov SPDEs driven by cylindrical α-stable process , 2022, Stochastic Analysis and Applications.
[2] Wei Liu,et al. Strong convergence rates in averaging principle for slow-fast McKean-Vlasov SPDEs , 2021, Journal of Differential Equations.
[3] Arnab Ganguly,et al. Inhomogeneous functionals and approximations of invariant distributions of ergodic diffusions: Central limit theorem and moderate deviation asymptotics , 2021 .
[4] A. Schlichting,et al. Barriers of the McKean–Vlasov energy via a mountain pass theorem in the space of probability measures , 2020, Journal of Functional Analysis.
[5] K. Spiliopoulos,et al. Large deviations for interacting multiscale particle systems , 2020, Stochastic Processes and their Applications.
[6] M. Rockner,et al. Diffusion approximation for fully coupled stochastic differential equations , 2020, 2008.04817.
[7] Albert Y. Zomaya,et al. Partial Differential Equations , 2007, Explorations in Numerical Analysis.
[8] Leonid Koralov,et al. Averaging in the case of multiple invariant measures for the fast system , 2020, Electronic Journal of Probability.
[9] G. Pavliotis,et al. On the Diffusive-Mean Field Limit for Weakly Interacting Diffusions Exhibiting Phase Transitions , 2020, Archive for Rational Mechanics and Analysis.
[10] M. Rockner,et al. Strong convergence order for slow–fast McKean–Vlasov stochastic differential equations , 2019, Annales de l'Institut Henri Poincaré, Probabilités et Statistiques.
[11] A. Budhiraja,et al. Empirical Measure and Small Noise Asymptotics Under Large Deviation Scaling for Interacting Diffusions , 2019, Journal of Theoretical Probability.
[12] K. Ramanan,et al. From the master equation to mean field game limit theory: a central limit theorem , 2018, Electronic Journal of Probability.
[13] R. Carmona,et al. Probabilistic Theory of Mean Field Games with Applications II: Mean Field Games with Common Noise and Master Equations , 2018 .
[14] K. Spiliopoulos,et al. Pathwise moderate deviations for option pricing , 2018, Mathematical Finance.
[15] Grigorios A. Pavliotis,et al. Mean Field Limits for Interacting Diffusions in a Two-Scale Potential , 2017, J. Nonlinear Sci..
[16] D. Crisan,et al. Smoothing properties of McKean–Vlasov SDEs , 2017, 1702.01397.
[17] Feng-Yu Wang. Distribution-Dependent SDEs for Landau Type Equations , 2016, 1606.05843.
[18] A. Budhiraja,et al. Moderate deviation principles for weakly interacting particle systems , 2015, Probability Theory and Related Fields.
[19] P. Lions,et al. The Master Equation and the Convergence Problem in Mean Field Games , 2015, 1509.02505.
[20] Josselin Garnier,et al. Consensus Convergence with Stochastic Effects , 2015, ArXiv.
[21] Juan Li,et al. Mean-field stochastic differential equations and associated PDEs , 2014, 1407.1215.
[22] Julian Tugaut,et al. Phase transitions of McKean–Vlasov processes in double-wells landscape , 2014 .
[23] R. Fetecau,et al. Emergent behaviour in multi-particle systems with non-local interactions , 2013 .
[24] B. Rémillard,et al. On signed measure valued solutions of stochastic evolution equations , 2013, 1307.4024.
[25] Justin A. Sirignano,et al. Fluctuation Analysis for the Loss from Default , 2013, 1304.1420.
[26] Sébastien Motsch,et al. Heterophilious Dynamics Enhances Consensus , 2013, SIAM Rev..
[27] K. Spiliopoulos. Large Deviations and Importance Sampling for Systems of Slow-Fast Motion , 2012, Applied Mathematics & Optimization.
[28] Konstantinos Spiliopoulos,et al. Importance Sampling for Multiscale Diffusions , 2011, Multiscale Model. Simul..
[29] Konstantinos Spiliopoulos,et al. Large deviations for multiscale diffusion via weak convergence methods , 2010, 1011.5933.
[30] K. Spiliopoulos. Large Deviations Principle for a Large Class of One-Dimensional Markov Processes , 2010, 1006.3143.
[31] T. Kurtz,et al. Large Deviations for Stochastic Processes , 2006 .
[32] Changbong Hyeon,et al. Can energy landscape roughness of proteins and RNA be measured by using mechanical unfolding experiments? , 2003, Proceedings of the National Academy of Sciences of the United States of America.
[33] P. Dupuis,et al. A variational representation for certain functionals of Brownian motion , 1998 .
[34] Sylvie Méléard,et al. A Hilbertian approach for fluctuations on the McKean-Vlasov model , 1997 .
[35] J. Lynch,et al. A weak convergence approach to the theory of large deviations , 1997 .
[36] R. Liptser,et al. Large deviations for two scaled diffusions , 1996, math/0510029.
[37] J. Onuchic,et al. Funnels, pathways, and the energy landscape of protein folding: A synthesis , 1994, Proteins.
[38] Paolo Baldi,et al. Large deviations for diffusion processes with homogenization and applications , 1991 .
[39] R. Zwanzig,et al. Diffusion in a rough potential. , 1988, Proceedings of the National Academy of Sciences of the United States of America.
[40] J. Gärtner,et al. Large deviations from the mckean-vlasov limit for weakly interacting diffusions , 1987 .
[41] I. Mitoma. Tightness of Probabilities On $C(\lbrack 0, 1 \rbrack; \mathscr{Y}')$ and $D(\lbrack 0, 1 \rbrack; \mathscr{Y}')$ , 1983 .
[42] D. Dawson. Critical dynamics and fluctuations for a mean-field model of cooperative behavior , 1983 .
[43] A. Bensoussan,et al. Asymptotic analysis for periodic structures , 1979 .
[44] J. Gärtner. On Large Deviations from the Invariant Measure , 1977 .
[45] Federico Toschi,et al. Collective Dynamics from Bacteria to Crowds , 2014 .
[46] Xiongzhi Chen. Brownian Motion and Stochastic Calculus , 2008 .
[47] A. Veretennikov,et al. On the Poisson Equation and Diffusion Approximation. I Dedicated to N. v. Krylov on His Sixtieth Birthday , 2001 .
[48] P. Dupuis,et al. A VARIATIONAL REPRESENTATION FOR POSITIVE FUNCTIONALS OF INFINITE DIMENSIONAL BROWNIAN MOTION , 2000 .
[49] A. Veretennikov,et al. On Large Deviations in the Averaging Principle for SDEs with a “Full Dependence” , 1999 .
[50] P. Bassanini,et al. Elliptic Partial Differential Equations of Second Order , 1997 .
[51] A. Veretennikov,et al. Bounds for the Mixing Rate in the Theory of Stochastic Equations , 1988 .
[52] M. I. Freĭdlin,et al. Random Perturbations of Dynamical Systems , 1984 .
[53] G. Reuter. Markov Processes , 1968, Nature.
[54] A. Veretennikov,et al. © Institute of Mathematical Statistics, 2003 ON POISSON EQUATION AND DIFFUSION APPROXIMATION 2 1 , 2022 .