Spectral gap for Kac's model of Boltzmann equation
Janvresse, Elise
HAL, hal-00373372 / Harvested from HAL
Text on HAL
We consider a random walk on S^{n-1}, the standard sphere of dimension n-1, generated by random rotations on randomly selected coordinate planes i, j with 0 < i < j < n+1. This dynamics was used by Marc Kac as a model for the spatially homogeneous Boltzmann equation. We prove that the spectral gap on S^{n-1} is 1/n up to a constant independent of n.
Publié le : 2001-07-05
Classification:  [MATH.MATH-PR]Mathematics [math]/Probability [math.PR] 
@article{hal-00373372,
     author = {Janvresse, Elise},
     title = {Spectral gap for Kac's model of Boltzmann equation},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00373372}
}

Janvresse, Elise. Spectral gap for Kac's model of Boltzmann equation. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00373372/