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math.AP2018
Rigorous study of the equilibria of collision kernels appearing in the theory of weak turbulence
Maxime Breden, Laurent Desvillettes
In this paper, we rigorously obtain all the equilibria of collision kernels of type "two particles give two particles" appearing in weak turbulence theory under very general assump…
math.DS2018
Rigorous Validation of Stochastic Transition Paths
Maxime Breden, Christian Kuehn
Global dynamics in nonlinear stochastic systems is often difficult to analyze rigorously. Yet, many excellent numerical methods exist to approximate these systems. In this work, we…