Empirical density fluctuations for zero range models
By: by Hanna Katrzyna Jankowski.
Published: 2006
Language: eng
Number of pages: 184
ISBN-13: 9780494160480
Description: In this thesis we compute the density fluctuation limit for the  k-colour version of the zero range interacting particle dynamics when the system is started out of equilibrium measure. We extend the method of Chang and Yau to the k-colour model setting. A key estimate in the proof of this result is the logarithmic Sobolev inequality. We prove the inequality in the more general setting of a class of inhomogeneous zero range particle systems.We also show how the k-colour density fluctuation result may be used to establish a central limit theorem for the tagged particle at the level of finite dimensional distributions. This is the central limit theorem associated to the propagation of chaos result for the zero range interacting particle system.
Notes: Source: Dissertation Abstracts International, Volume: 67-07, Section: B, page: 3834.

Advisor: Jeremy Quastel

Thesis (Ph.D.)--University of Toronto, 2006.

Electronic version licensed for access by U. of T. users.