On the long-time behaviour of McKean-Vlasov paths

DOI10.1214/20-ECP330zbMath1448.35040arXiv2001.09106OpenAlexW3099133045MaRDI QIDQ2201529

K. Bashiri

Publication date: 29 September 2020

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.09106

zbMATH Keywords

ergodicitybasin of attractionWasserstein gradient flowsMcKean-Vlasov evolution

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Variational inequalities (49J40) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (2)

Online parameter estimation for the McKean-Vlasov stochastic differential equation ⋮ Metastability in a continuous mean-field model at low temperature and strong interaction

Cites Work

• Convergence to the equilibria for self-stabilizing processes in double-well landscape
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• Gradient flow approach to local mean-field spin systems
• THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
• Large Deviations and Metastability
• On the McKean-Vlasov Limit for Interacting Diffusions
• The Variational Formulation of the Fokker--Planck Equation
• Large deviations from the mckean-vlasov limit for weakly interacting diffusions
• Metastability
• Optimal Transport
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