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arXiv · 2310.04203

Real diffusion with complex spectral gap

Jean-Francois Bony·Laurent Michel
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Abstract

The low-lying eigenvalues of the generator of a Langevin process are known to satisfy the Eyring-Kramers law in the low temperature regime under suitable assumptions. These eigenvalues are generically real. We construct generators whose spectral gap is given by non-real eigenvalues or by a real eigenvalue having a Jordan block.

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Jean-Francois Bony, Laurent Michel. 2023-10-06. Real diffusion with complex spectral gap. https://arxiv.org/abs/2310.04203

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