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LOGARITHMIC SOBOLEV INEQUALITIES FOR FINITE MARKOV CHAINS
Sobolev inequality MARKOV CHAINS
2015/8/26
This is an expository paper on the use of logarithmic Sobolev inequalities
for bounding rates of convergence of Markov chains on finite state
spaces to their stationary distributions. Logarithmic So...
LOGARITHMIC SOBOLEV INEQUALITIES FOR FINITE MARKOV CHAINS
Logarithmic sobolev limited markov chain the inequality
2015/7/14
LOGARITHMIC SOBOLEV INEQUALITIES FOR FINITE MARKOV CHAINS。
New logarithmic Sobolev inequalities and an ε-regularity theorem for the Ricci flow
New logarithmic Sobolev inequalities ε-regularity theorem Ricci flow Differential Geometry
2012/5/24
In this note we prove a new \epsilon-regularity theorem for the Ricci flow. Let (M^n,g(t)) with t\in [-T,0] be a Ricci flow and H_{x} the conjugate heat kernel centered at a point (x,0) in the final t...
The Logarithmic Sobolev Constant of The Lamplighter
The Logarithmic Sobolev Constant The Lamplighter
2010/11/12
We give estimates on the logarithmic Sobolev constant of some finite lamplighter graphs in terms of the spectral gap of the underlying base. Also, we give examples of application.
Logarithmic Sobolev inequality for diffusion semigroups
Logarithmic Sobolev inequality Poincar´ e inequality Ornstein-Uhlenbeck semigroup
2010/12/8
Through the main example of the Ornstein-Uhlenbeck semigroup, the Bakry-Emery criterion is presented as a main tool to get functional inequalities as Poincar´e or logarithmic Sobolev inequalitie...
A logarithmic Sobolev inequality for one-dimensional multivalued stochastic differential equations
A logarithmic Sobolev inequality one-dimensional multivalued stochastic differential equations
2009/9/21
We establish a logarithmic Sobolev inequality for a one-
-dimensional multivalued stochastic differential equation associated with
the subdillerential of a convex lower semicontinuous function, usin...
Martingale Representation and a Simple Proof of Logarithmic Sobolev Inequalities on Path Spaces
Martingale Representation Logarithmic Sobolev Inequality Hypercontractivity PathSpace
2009/5/8
We show how the Clark-Ocone-Haussmann formula for Brownian motion on a compact Riemannian manifold put forward by S. Fang in his proof of the spectral gap inequality for the Ornstein-Uhlenbeck operato...
Logarithmic Sobolev Inequality for Zero——Range Dynamics：Independence of the Number of Particles
Logarithmic Sobolev Inequality Zero Range Dynamics
2009/4/8
We prove that the logarithmic-Sobolev constant for Zero-Range Processes in a box of diameter L may depend on L but not on the number of particles. This is a first, but relevant and quite technical ste...