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math.PR2026
Monge-Ampère gravitating fluids. Least action principles and particle systems
Christian Léonard, Roya Mohayaee
The Monge-Ampère gravitation theory (MAG) was introduced by Brenier in 2011 to obtain an approximate solution of the early Universe reconstruction problem. It is a modification of…
math.PR2026
Convergence to the uniform distribution of moderately self-interacting diffusions on compact Riemannian manifolds
Simon Holbach, Olivier Raimond
We consider a self-interacting diffusion on a smooth compact Riemannian manifold , described by the stochastic differential equation \[ dX_t = \sqrt{2} dW_t(X_t)- β…