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1. A Langevin sampling algorithm inspired by the Adam optimizer
   2025/04/26 by Leimkuhler, Benedict, Lohmann, René, Whalley, Peter · 3 citations
   #60J22 #62-08 #65C05 #65C30 #65C40 #82C31 #Computation (stat.CO) #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML)
2. Uniform-in-time weak propagation of chaos for consensus-based optimization
   2025/02/01 by Bayraktar, Erhan, Ekren, Ibrahim, Zhou, Hongyi · 1 citation
   #35Q89 #37N40 #82C31 #90C26 #93D50 #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Optimization and Control (math.OC) #Probability (math.PR)
3. Ill-posedness of the pure-noise Dean-Kawasaki equation
   2025/01/16 by Schiavo, Lorenzo Dello, Konarovskyi, Vitalii · 1 citation
   #60G57 #60H15 #82C31 #FOS: Mathematics #Probability (math.PR)
4. From Flocking to Condensation: Collective Dynamics in Binary Chiral Active Matter
   2024/10/22 by Kushwaha, Divya, Mishra, Shradha · 1 citation
   #82C22 #82C31 #82C70 #FOS: Physical sciences #G.3 #I.6.3 #Soft Condensed Matter (cond-mat.soft)
5. Kinetic models for optimization: a unified mathematical framework for metaheuristics
   2024/10/14 by Borghi, Giacomo, Herty, Michael, Pareschi, Lorenzo · 1 citation
   #65C05 #65K10 #82B40 #82C31 #90C26 #FOS: Mathematics #Optimization and Control (math.OC)
6. A simulation platform for slender, semiflexible, and inextensible fibers with Brownian hydrodynamics and steric repulsion
   2024/08/28 by Ondrej Maxian, Maxian, Ondrej, Aleksandar Donev +1 · 1 citation
   Computer Science · Engineering · Physics and Astronomy · #65R20 #76D07 #76T20 #82C31 #FOS: Mathematics #FOS: Physical sciences #Micro and Nano Robotics #Modular Robots and Swarm Intelligence #Numerical Analysis (math.NA) #Robotic Path Planning Algorithms #Soft Condensed Matter (cond-mat.soft)
7. The fast committor machine: Interpretable prediction with kernels
   2024/05/16 by Aristoff, D., Johnson, M., Simpson, G. +1 · 2 citations
   #65C30 #65C40 #82C31 #82C32 #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Numerical Analysis (math.NA)
8. Empirical approximation to invariant measures of mean-field Langevin dynamics
   2024/04/28 by Cao, Wenjing, Du, Kai · 1 citation
   #37M25 #60B10 #60H10 #82C31 #FOS: Mathematics #Probability (math.PR)
9. Wasserstein speed limits for Langevin systems
   2023/12/12 by Sabbagh, Ralph, Miangolarra, Olga Movilla, Georgiou, Tryphon T. · 5 citations
   #80M60 #82C31 #82Cxx #82M60 #93E03 #FOS: Electrical engineering #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering
10. A biased dollar exchange model involving bank and debt with discontinuous equilibrium
    2023/11/14 by Cao, Fei, Reed, Stephanie · 1 citation
    #82C22 #82C31 #91B70 #91B80 #FOS: Mathematics #Probability (math.PR)
11. On a class of generalised solutions to the kinetic Hookean dumbbell model for incompressible dilute polymeric fluids: existence and macroscopic closure
    2023/06/29 by Tomasz Dębiec, Endre Süli, Dębiec, Tomasz +1 · 1 citation
    Chemical Engineering · Engineering · #35Q30 #76A05 #76D03 #82C31 #82D60 #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Phase Equilibria and Thermodynamics #Rheology and Fluid Dynamics Studies
12. Uncovering a two-phase dynamics from a dollar exchange model with bank and debt
    2022/08/23 by Cao, Fei, Motsch, Sébastien · 2 citations
    #35Q84 #82C31 #91B70 #91B80 #FOS: Mathematics #Probability (math.PR)
13. From interacting agents to Boltzmann-Gibbs distribution of money
    2022/08/11 by Fei Cao, Cao, Fei, Pierre‐Emmanuel Jabin +1 · 2 citations
    Economics, Econometrics and Finance · Physics and Astronomy · #34A40 #60J28 #82C31 #91B80 #Advanced Thermodynamics and Statistical Mechanics #Complex Systems and Time Series Analysis #Economic theories and models #FOS: Mathematics #Probability (math.PR)
14. Global contractivity for Langevin dynamics with distribution-dependent forces and uniform in time propagation of chaos
    2022/06/07 by Schuh, Katharina · 8 citations
    #60H10 #60J60 #82C31 #FOS: Mathematics #Probability (math.PR)
15. Stochastic differential equations in a scale of Hilbert spaces 2. Global solutions
    2021/07/25 by Chargaziya, Georgy, Daletskii, Alexei · 1 citation
    #46E99 #82C31 #FOS: Mathematics #Functional Analysis (math.FA) #Primary 60H10 #Secondary 82C20
16. Optimal Transport for Parameter Identification of Chaotic Dynamics via Invariant Measures
    2021/04/30 by Yang, Yunan, Nurbekyan, Levon, Negrini, Elisa +2 · 2 citations
    #34A55 #37M21 #49Q22 #65N08 #82C31 #93B30 #Data Analysis #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Optimization and Control (math.OC) #Statistics and Probability (physics.data-an)
17. Universality for Langevin-like spin glass dynamics
    2019/11/18 by Dembo, Amir, Lubetzky, Eyal, Zeitouni, Ofer · 1 citation
    #60F10 #60H10 #60K35 #82C31 #82C44 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
18. Breaking Reversibility Accelerates Langevin Dynamics for Global Non-Convex Optimization
    2018/12/19 by Gao, Xuefeng, Gurbuzbalaban, Mert, Zhu, Lingjiong · 2 citations
    #65C30 #65K05 #82C31 #90C26 #90C30 #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Probability (math.PR)
19. Periodicity induced by noise and interaction in the kinetic mean-field FitzHugh-Nagumo model
    2018/11/01 by Luçon, Eric, Poquet, Christophe · 2 citations
    #35K55 #35Q84 #37N25 #60K35 #82C26 #82C31 #92B20 #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
20. Coarse-graining of overdamped Langevin dynamics via the Mori-Zwanzig formalism
    2018/10/18 by Hudson, Thomas, Li, Xingjie Helen · 1 citation
    #41A60 #60H10 #82C31 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics
21. Pathwise estimates for effective dynamics: the case of nonlinear vectorial reaction coordinates
    2018/05/04 by Tony Lelièvre, Lelièvre, Tony, Wei Zhang +1 · 2 citations
    Biochemistry, Genetics and Molecular Biology · Computer Science · Physics and Astronomy · #60H10 #60J60 #82C31 #FOS: Mathematics #Gene Regulatory Network Analysis #Nonlinear Dynamics and Pattern Formation #Probability (math.PR) #stochastic dynamics and bifurcation
22. Simultaneous state-time approximation of the chemical master equation using tensor product formats
    2013/11/13 by Dolgov, Sergey, Khoromskij, Boris · 1 citation
    #15A69 #34B08 #65F10 #65F50 #80A30 #82C31 #FOS: Mathematics #Numerical Analysis (math.NA)
23. Nonlinear resonances with a potential: Multilinear estimates and an\n application to NLS
    2013/03/18 by Pierre Germain, Germain, Pierre, Zaher Hani +3 · 1 citation
    Engineering · Mathematics · Physics and Astronomy · #35Q30 #76A05 #82C31 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Nonlinear Waves and Solitons #Spectral Theory in Mathematical Physics #Stability and Controllability of Differential Equations
24. Synchronization and random long time dynamics for mean-field plane rotators
    2012/09/20 by Lorenzo Bertini, Bertini, Lorenzo, Giambattista Giacomin +3 · 1 citation
    Physics and Astronomy · #37N25 #60K35 #82C26 #82C31 #92B20 #Adaptation and Self-Organizing Systems (nlin.AO) #Advanced Thermodynamics and Statistical Mechanics #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Statistical Mechanics and Entropy #stochastic dynamics and bifurcation
25. Analysis of Nonlinear Noisy Integrate&Fire Neuron Models: blow-up and steady states
    2010/10/22 by Cáceres, María J., Carrillo, José A., Perthame, Benoît · 1 citation
    #35K60 #82C31 #92B20 #Analysis of PDEs (math.AP) #FOS: Biological sciences #FOS: Mathematics #Neurons and Cognition (q-bio.NC)
26. Tunnel effect and symmetries for Kramers Fokker-Planck type operators
    2010/07/06 by Herau, Frederic, Hitrik, Michael, Sjoestrand, Johannes · 2 citations
    #35P15 #35P20 #47A10 #47B44 #81Q20 #81Q60 #82C05 #82C31 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)
27. Entropy and chaos in the Kac model
    2008/08/23 by Carlen, E. A., Carvalho, M. C., Roux, J. Le +2 · 1 citation
    #60J25 #82C31 #94A17 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
28. Quantum Fokker-Planck models: the Lindblad and Wigner approaches
    2008/06/18 by Arnold, Anton, Fagnola, Franco, Neumann, Lukas · 1 citation
    #81S25 #81S30 #82C31 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
29. Operator Scaling Stable Random Fields
    2006/02/28 by Biermé, Hermine, Meerschaert, Mark M., Scheffler, Hans-Peter · 1 citation
    #60F17 #60G50 #60H30 #82C31 #FOS: Mathematics #Probability (math.PR)