Logarithmic Sobolev Inequality for the Inhomogeneous Zero Range Process
نویسنده
چکیده
The logarithmic Sobolev inequality is a spectral bound which provides much information about decay to equilibrium of the dynamics of a stochastic process. Consider a process governed by reversible dynamics described by a generator L, with semi-group Pt and an invariant measure μ. The Dirichlet form is defined as Dμ(f) = μ[f(−L)f ]. A logarithmic Sobolev inequality is a statement which says that the entropy, H(f |μ) = μ[f log f ], is bounded by a constant times the Dirichlet form H(f |μ) ≤ CLS Dμ( √
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تاریخ انتشار 2006