Author

Martin Larsson

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Preprint Aug 2026

Langevin dynamics along the zero set of real-analytic potentials

We consider the Langevin diffusion $dX_t = - \beta \nabla V(X_t) dt + \sqrt{2} dB_t$ for a general nonnegative real-analytic potential $V$ and a large parameter $\beta$. In the large-$\beta$ limit the process is confined to the zero set of $V$, assuming that it starts there. We derive a candidate limiting evolution on...

Martin Larsson · 0 citations