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Dynamics of flows and maps (continuous and discrete time), including infinite-dimensional dynamics, Hamiltonian dynamics, ergodic theory.

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critical size of large systems of interacting particles for mean field approximation

When studying large systems of interacting particles, most of the work rely on mean field approximation by assuming that the number of particle goes to infinity. This allows to study the collective dy …
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1 vote

Langevin equation with position-dependant damping: existence of an invariant measure?

Here $q$ is the position and $p$ is the velocity. Let me take $a = \sqrt{2}$ and define $H(q,p) = \frac{q^2+p^2}{2}$. case 1 - b is a constant. We agree on the fact that the generator $L$ of $(q(t) …
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