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Anomalous Fluctuations for a Perturbed Hamiltonian System with Exponential Interactions |
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| Authors: | Cédric Bernardin Patrícia Gonçalves |
| Affiliation: | 1. Laboratoire J.A. Dieudonné, UMR-CNRS, Université de Nice Sophia-Antipolis, 7351 Parc Valrose, 06108, Nice Cedex 02, France 2. CMAT, Centro de Matemática da Universidade do Minho, Campus de Gualtar, 4710-057, Braga, Portugal 3. Departamento de Matemática, Pontifícia Universidade Católica do Rio de Janeiro, PUC-RIO, Rua Marquês de S?o Vicente, no. 225, 22453-900, Gávea, Rio de Janeiro, Brazil |
| Abstract: | A one-dimensional Hamiltonian system with exponential interactions perturbed by a conservative noise is considered. It is proved that energy superdiffuses and upper and lower bounds describing this anomalous diffusion are obtained. |
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