MetaCartSign in to MyCiteSeer

Include Citations | Advanced Search | Help

Include Citations | Advanced Search | Help

  Uniform Poincaré Inequalities for Unbounded Conservative Spin Systems: The Non–Interacting Case, Stochastic Process [2 citations — 0 self]

Download:
Download as a PDF | Download as a PS
by Pietro Caputo
Appl
http://www.ma.utexas.edu/mp_arc/c/02/02-46.ps.gz
Add To MetaCart

Abstract:

Abstract. We prove a uniform Poincare inequality for non{interacting unbounded spin systems with a conservation law, when the single{site potential is a bounded perturbation of a convex function. The result is then applied to Ginzburg-Landau processes to show diusive scaling of the associated spectral gap.

Citations

934 An Introduction to Probability Theory and Its Applications – Feller - 1968
47 Scaling limits of interacting particle systems – Kipnis, Landim - 1999
33 Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics – Lu, Yau - 1993
31 unknown title – Brascamp, Lieb - 1976
13 Logarithmic Sobolev inequalities for unbounded spin systems revisited – Ledoux - 2001
9 Isoperimetric and analytic inequalities for log-concave probability measures – Bobkov - 1999
9 The log-Sobolev inequality for unbounded spin systems – Bodineau, Heler - 1999
8 On the spectral gap of Kawasaki dynamics under a mixing condition revisited – Cancrini, Martinelli - 2000
6 Spectral gap and logarithmic Sobolev inequality for unbounded conservative spin systems – Landim, Panizo, et al. - 2000
5 Many-Body Aspects of Approach to Equilibrium – Carlen, Carvalho, et al. - 2001
5 Nonlinear Diusion Limit for a System with Nearest-neighbor – Varadhan - 1990
4 Coercive inequalities for Kawasaki dynamics: The product case – Bertini, Zegarlinski - 1999
4 Coercive inequalities for Gibbs measures – Bertini, Zegarlinski - 1999
3 A remark on spectral gap and logarithmic sobolev inequalities for conservative spin systems, Preprint archived as mp arc 01-71 – Caputo - 2001
3 2002) Relaxation time of anisotropic simple exclusion processes and quantum Heisenberg models, preprint – Caputo, Martinelli
3 Glauber versus Kawasaki for Spectral Gap and Logarithmic Sobolev Inequalities of Some Unbounded – Chafaï
2 Spectral gap for spin systems: some non convex phase examples – Gentil, Roberto