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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...
We present a simple and direct proof of the equivalence of various
functional inequalities such as Sobolev or Nash inequalities. This
proof applies in the context of Riemannian or sub-elliptic geome...
Pseudo-Poincar¶e Inequalities and Applications to Sobolev Inequalities
Sobolev Inequalities Inequalities
2015/8/26
Most smoothing procedures are via averaging. Pseudo-Poincar¶e in-
equalities give a basic Lp-norm control of such smoothing procedures in terms
of the gradient of the function involved. When av...
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...
Factoring Sobolev inequalities through classes of functions
Sobolev inequality sharp constants affine isoperimetric inequalities
2011/9/1
Abstract: We recall two approaches to recent improvements of the classical Sobolev inequality. The first one follows the point of view of Real Analysis, while the second one relies on tools from Conve...
Isoperimetric and Sobolev inequalities on hypersurfaces in sub-Riemannian Carnot groups
Carnot groups Sub-Riemannian Geometry Hypersurfaces Isoperimetric Inequality
2011/1/20
In this paper we shall study smooth submanifolds immersed in a k-step Carnot group G of homogeneous dimension Q. Our main result is an isoperimetric inequality for the case of a C2-smooth compact hype...
A counterexample for Improved Sobolev Inequalities over the 2-adic group
Sobolev Inequalities the 2-adic group
2010/11/9
On the framework of the 2-adic group Z_2, we study a Sobolev-like inequality where we estimate the L^2 norm by a geometric mean of the BV norm and the Besov space B(-1,\infty,\infty) norm. We first s...
Corrigendum on the paper: 'Lower Bounds for the Infimum of the Spectrum of the Schr鮠inger Operator in \mathbb{R}^N and the Sobolev Inequalities' published in JIPAM, vol. 3, no. 4. (2002), Article 63
Optimal lower bound infimum spectrum Schrõ dinger operator Sobolev inequality
2008/7/2
This paper is a corrigendum on a paper published in an earlier volume of JIPAM, 'Lower Bounds for the Infimum of the Spectrum of the Schrodinger Operator in and the Sobolev Inequalities' published in...
Lower Bounds for the Infimum of the Spectrum of the Schrödinger Operator in $\mathbb{R}^n$ and the Sobolev Inequalities
Optimal lower bound Infimum spectrum Schrö dinger operator Sobolev inequality
2008/7/1
Lower Bounds for the Infimum of the Spectrum of the Schrödinger Operator in $\mathbb{R}^n$ and the Sobolev Inequalities.