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Covariance-Modulated Optimal Transport and Gradient Flows
Martin Burger, Matthias Erbar, Franca Hoffmann, Daniel Matthes and André Schlichting Archive for Rational Mechanics and Analysis 249(1) (2025) https://doi.org/10.1007/s00205-024-02065-w
Graph-to-local limit for the nonlocal interaction equation
Information geometry of dynamics on graphs and hypergraphs
Tetsuya J. Kobayashi, Dimitri Loutchko, Atsushi Kamimura, Shuhei A. Horiguchi and Yuki Sughiyama Information Geometry 7(1) 97 (2024) https://doi.org/10.1007/s41884-023-00125-w
Hidden Dissipation and Convexity for Kimura Equations
Jean-Baptiste Casteras and Léonard Monsaingeon SIAM Journal on Mathematical Analysis 55(6) 7361 (2023) https://doi.org/10.1137/22M1529270
On the Cahn–Hilliard equation with no-flux and strong anchoring conditions
Gradient Flow Formulations of Discrete and Continuous Evolutionary Models: A Unifying Perspective
Fabio A. C. C. Chalub, Léonard Monsaingeon, Ana Margarida Ribeiro and Max O. Souza Acta Applicandae Mathematicae 171(1) (2021) https://doi.org/10.1007/s10440-021-00391-9
Hopfield Neural Network Flow: A Geometric Viewpoint
Abhishek Halder, Kenneth F. Caluya, Bertrand Travacca and Scott J. Moura IEEE Transactions on Neural Networks and Learning Systems 31(11) 4869 (2020) https://doi.org/10.1109/TNNLS.2019.2958556
A Second-Order Stabilization Method for Linearizing and Decoupling Nonlinear Parabolic Systems
Affine Invariant Interacting Langevin Dynamics for Bayesian Inference
Alfredo Garbuno-Inigo, Nikolas Nüsken and Sebastian Reich SIAM Journal on Applied Dynamical Systems 19(3) 1633 (2020) https://doi.org/10.1137/19M1304891
Well-posedness of evolution equations with time-dependent nonlinear mobility: A modified minimizing movement scheme
Simulation of multiphase porous media flows with minimising movement and finite volume schemes
CLÉMENT CANCÈS, THOMAS GALLOUËT, MAXIME LABORDE and LÉONARD MONSAINGEON European Journal of Applied Mathematics 30(6) 1123 (2019) https://doi.org/10.1017/S0956792518000633
Gradient structures and geodesic convexity for reaction–diffusion systems
Matthias Liero and Alexander Mielke Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 371(2005) 20120346 (2013) https://doi.org/10.1098/rsta.2012.0346
Convergence to equilibrium in Wasserstein distance for Fokker–Planck equations