Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Glauber versus Kawasaki for spectral gap and logarithmic Sobolev
  inequalities of some unbounded conservative spin systems   Inspired by the recent results of C. Landim, G. Panizo and H.-T. Yau [LPY] on
spectral gap and logarithmic Sobolev inequalities for unbounded conservative
spin systems, we study uniform bounds in these inequalities for Glauber
dynamics of Hamiltonian of the form V(x_1) + ... + V(x_n) + V(M-x_1 -...-x_n),
(x_1,...,x_n) in R^n Specifically, we examine the case V is strictly convex (or
small perturbation of strictly convex) and, following [LPY], the case V is a
bounded perturbation of a quadratic potential. By a simple path counting
argument for the standard random walk, uniform bounds for the Glauber dynamics
yields, in a transparent way, the classical L^{-2} decay for the Kawasaki
dynamics on d-dimensional cubes of length L. The arguments of proofs however
closely follow and make heavy use of the conservative approach and estimates of
[LPY], relying in particular on the Lu-Yau martingale decomposition and clever
partitionings of the conditional measure.

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The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph