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Given a sequence of functions f1,,fnf_1,\ldots,f_n with fi:DRf_i:\mathcal{D}\mapsto \mathbb{R}, finite-sum minimization seeks a point xD{x}^\star \in \mathcal{D} minimizing j=1nfj(x)/n\sum_{j=1}^nf_j(x)/n. In this work, we propose a key twist into the finite-sum minimizat ...
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Homogenization results for the generator of multiscale Langevin dynamics in weighted Sobolev spaces

Andrea Zanoni

We study the homogenization of the Poisson equation with a reaction term and of the eigenvalue problem associated to the generator of multiscale Langevin dynamics. Our analysis extends the theory of two-scale convergence to the case of weighted Sobolev spa ...
OXFORD UNIV PRESS2023

Probing multi-particle unitarity with the Landau equations

Alexander Zhiboedov, Miguel Alexandre Ribeiro Correia, Amit Sever

We consider the 2 -> 2 scattering amplitude of identical massive particles. We identify the Landau curves in the multi-particle region 16m(2)
2022

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