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cond-mat.dis-nn2021★ 2 cited
A remark on the spherical bipartite spin glass
Giuseppe Genovese
Auffinger and Chen proved a variational formula for the free energy of the spherical bipartite spin glass in terms of a global minimum over the overlaps. We show that a different o…
math.PR2021
Quasi-invariance of Gaussian measures for the periodic Benjamin-Ono-BBM equation
Giuseppe Genovese, Renato Lucá, Nikolay Tzvetkov
The BBM equation is a Hamiltonian PDE which revealed to be a very interesting test-model to study the transformation property of Gaussian measures along the flow. In this paper we…
math.AP2021
Transport of Gaussian measures with exponential cut-off for Hamiltonian PDEs
Giuseppe Genovese, Renato Lucà, Nikolay Tzvetkov
We show that introducing an exponential cut-off on a suitable Sobolev norm facilitates the proof of quasi-invariance of Gaussian measures with respect to Hamiltonian PDE flows and…