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Modified logSobolev inequalities . . .
"... We find sufficient conditions for a probability measure µ to satisfy an inequality of the type ..."
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We find sufficient conditions for a probability measure µ to satisfy an inequality of the type
Modified LogSobolev . . .
, 2006
"... We find sufficient conditions for a probability measure µ to satisfy an inequality of the type ..."
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We find sufficient conditions for a probability measure µ to satisfy an inequality of the type
Modified logSobolev inequalities and isoperimetry
, 2006
"... We find sufficient conditions for a probability measure µ to satisfy an inequality of the type Rd f 2 ( ..."
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Cited by 4 (2 self)
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We find sufficient conditions for a probability measure µ to satisfy an inequality of the type Rd f 2 (
LOG–SOBOLEV INEQUALITIES AND REGIONS WITH EXTERIOR EXPONENTIAL CUSPS
, 2001
"... We begin by studying certain semigroup estimates which are more singular than those implied by a Sobolev embedding theorem but which are equivalent to certain logarithmic Sobolev inequalities. We then give a method for proving that such log–Sobolev inequalities hold for Euclidean regions which satis ..."
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We begin by studying certain semigroup estimates which are more singular than those implied by a Sobolev embedding theorem but which are equivalent to certain logarithmic Sobolev inequalities. We then give a method for proving that such log–Sobolev inequalities hold for Euclidean regions which
Harnack inequalities for logSobolev functions and estimates of logSobolev constants
"... Abstract. By using the maximum principle and analysis of heat semigroups, the Harnack inequalities are studied for logSobolev functions. From this some lower bound estimates of the logSobolev constant are presented by using the spectral gap inequality and the coupling method. The resulting inequa ..."
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Cited by 17 (7 self)
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Abstract. By using the maximum principle and analysis of heat semigroups, the Harnack inequalities are studied for logSobolev functions. From this some lower bound estimates of the logSobolev constant are presented by using the spectral gap inequality and the coupling method. The resulting
LogSobolev Inequalities and Sampling from LogConcave Distributions
 Annals of Applied Probability
, 1998
"... We consider the problem of sampling according to a distribution with logconcave density F over a convex body K ` R n . The sampling is done using a biased random walk and we give improved polynomial upper bounds on the time to get a sample point with distribution close to F . 1 Introduction This ..."
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Cited by 31 (3 self)
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We consider the problem of sampling according to a distribution with logconcave density F over a convex body K ` R n . The sampling is done using a biased random walk and we give improved polynomial upper bounds on the time to get a sample point with distribution close to F . 1 Introduction
The Economics of Inequality
, 1975
"... Measures of inequality are used by economists to answer a wide range of questions. Is the distribution of income more equal than it was in the past? Are underdeveloped countries characterised by greater inequality than advanced countries? Do taxes lead to greater equality in the distri ..."
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Cited by 1236 (4 self)
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Measures of inequality are used by economists to answer a wide range of questions. Is the distribution of income more equal than it was in the past? Are underdeveloped countries characterised by greater inequality than advanced countries? Do taxes lead to greater equality in the distri
On The Validity Of The LogSobolev Inequality For Symmetric FlemingViot Operators
, 1998
"... . We prove that FlemingViot operators with parentindependent mutation satisfy a logarithmic Sobolev inequality if and only if the set of types is finite. Mathematics Subject Classification (1991): Primary: 60J35, 60G57 Secondary: 60K35, 92D15 1. Introduction Let (X; ¯) be a finite measure spac ..."
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Cited by 3 (0 self)
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space and (E ; D(E)) be a densely defined (not necessarily closed) quadratic form on L 2 (¯). (E ; D(E)) is said to determine a logarithmic Sobolev inequality with constant c ? 0 if Z f 2 log f 2 d¯ c E(f; f) + kfk 2 L 2 (¯) log kfk 2 L 2 (¯) for all f 2 D(E). Such kind of inequality
Inequality and Growth in a Panel of Countries
 JOURNAL OF ECONOMIC GROWTH
, 1999
"... Evidence from a broad panel of countries shows little overall relation between income inequality and rates of growth and investment. However, for growth, higher inequality tends to retard growth in poor countries and encourage growth in richer places. The Kuznets curve—whereby inequality first incre ..."
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Cited by 487 (4 self)
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Evidence from a broad panel of countries shows little overall relation between income inequality and rates of growth and investment. However, for growth, higher inequality tends to retard growth in poor countries and encourage growth in richer places. The Kuznets curve—whereby inequality first
LOGSOBOLEV INEQUALITIES WITH POTENTIAL FUNCTIONS ON PINNED PATH GROUPS
"... Abstract. We establish a refined version of Gross’s logSobolev inequalities on pinned path groups. We explain the reason why it is useful in a lower bound estimate of Schrödinger operators on path spaces. 1. ..."
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Abstract. We establish a refined version of Gross’s logSobolev inequalities on pinned path groups. We explain the reason why it is useful in a lower bound estimate of Schrödinger operators on path spaces. 1.
Results 1  10
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3,873,161