Spectral gap estimates for interacting particle systems via a Bochner-type identity
Boudou, Anne-Severine ; Caputo, Pietro ; Pra, Paolo Dai ; Posta, Gustavo
arXiv, 0505533 / Harvested from arXiv
Text on arXiv
We develop a general technique, based on a Bochner-type identity, to estimate spectral gaps of a class of Markov operator. We apply this technique to various interacting particle systems. In particular, we give a simple and short proof of the diffusive scaling of the spectral gap of the Kawasaki model at high temperature. Similar results are derived for Kawasaki-type dynamics in the lattice without exclusion, and in the continuum. New estimates for Glauber-type dynamics are also obtained.
Publié le : 2005-05-25
Classification:  Mathematics - Probability,  Mathematical Physics,  60K35, 82C22 
@article{0505533,
     author = {Boudou, Anne-Severine and Caputo, Pietro and Pra, Paolo Dai and Posta, Gustavo},
     title = {Spectral gap estimates for interacting particle systems via a
  Bochner-type identity},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0505533}
}

Boudou, Anne-Severine; Caputo, Pietro; Pra, Paolo Dai; Posta, Gustavo. Spectral gap estimates for interacting particle systems via a
  Bochner-type identity. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0505533/