Fetching the paper…
Reading the bibliography…
We obtain new principles for transferring log-Sobolev and Spectral-Gap inequalities from a source metric-measure space to a target one, when the curvature of the target space is bounded from below.
Verallgemeinerung eines Mittelwertsatzes von J. Favard für positive konkave Funktionen
L. Berwald · 1947
Earlier work this paper cites.
Some inequalities satisfied by the quantities of information of Fisher and Shannon
A. J. Stam · 1959
Earlier work this paper cites.
Classes of domains and imbedding theorems for function spaces
V. G. Maz ′ · 1961
Earlier work this paper cites.
p p -conductivity and theorems on imbedding certain functional spaces into a C C -space
V. G. Maz ′ · 1961
Earlier work this paper cites.
Partially alternate derivation of a result of Nelson
P. Federbush · 1969
Earlier work this paper cites.
A lower bound for the smallest eigenvalue of the Laplacian
J. Cheeger · 1970
Earlier work this paper cites.
Variétés riemanniennes à tenseur C non négatif
A. Lichnerowicz · 1970
Earlier work this paper cites.
A bound on tail probabilities for quadratic forms in independent random variables
D. L. Hanson and F. T. Wright · 1971
Earlier work this paper cites.
Convex measures on locally convex spaces
Ch. Borell · 1974
Earlier work this paper cites.
Logarithmic Sobolev inequalities
L. Gross · 1975
Earlier work this paper cites.
Sums of independent random variables
V. V. Petrov · 1975
Earlier work this paper cites.
A topological application of the isoperimetric inequality
M. Gromov and V. D. Milman · 1983
Earlier work this paper cites.
Diffusions hypercontractives
D. Bakry and M. Émery · 1985
Earlier work this paper cites.
Asymptotic theory of finite-dimensional normed spaces
V. D. Milman and G. Schechtman · 1986
Earlier work this paper cites.
Logarithmic Sobolev inequalities and stochastic Ising models
R. Holley and D. Stroock · 1987
Earlier work this paper cites.
The heritage of P. Lévy in geometrical functional analysis
V. D. Milman · 1987
Earlier work this paper cites.
Isotropic position and interia ellipsoids and zonoids of the unit ball of a normed n n -dimensional space
V. D. Milman and A. Pajor · 1988
Earlier work this paper cites.
Probability in Banach spaces
M. Ledoux and M. Talagrand · 1991
Earlier work this paper cites.
The equivalence of the logarithmic Sobolev inequality and the Dobrushin-Shlosman mixing condition
D. W. Stroock and B. Zegarliński · 1992
Cited alongside, same era.
Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics
S. L. Lu and H.-T. Yau · 1993
Cited alongside, same era.
Nonlinear diffusion limit for a system with nearest neighbor interactions. II
S. R. S. Varadhan · 1993
Cited alongside, same era.
Bounds on the tail probability of U U -statistics and quadratic forms
V. H. de la Peña and S. J. Montgomery-Smith · 1994
Cited alongside, same era.
A simple analytic proof of an inequality by P. Buser
M. Ledoux · 1994
Cited alongside, same era.
Isoperimetric problems for convex bodies and a localization lemma
R. Kannan, L. Lovász, and M. Simonovits · 1995
Glauber versus Kawasaki for spectral gap and logarithmic Sobolev inequalities of some unbounded conservative spin systems
D. Chafaï · 2003
Later among the works it cites.
On convex perturbations with a bounded isotropic constant
B. Klartag · 2006
Later among the works it cites.
Estimates of moments and tails of Gaussian chaoses
R. Latała · 2006
Later among the works it cites.
A new criterion for the logarithmic Sobolev inequality and two applications
F. Otto and M. G. Reznikoff · 2007
Later among the works it cites.
Remarks on non-interacting conservative spin systems: the case of gamma distributions
F. Barthe and P. Wolff · 2009
Later among the works it cites.
A two-scale approach to logarithmic Sobolev inequalities and the hydrodynamic limit
N. Grunewald, F. Otto, C. Villani, and M. G. Westdickenberg · 2009
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
Isoperimetric constants for product probability measures
S. G. Bobkov and C. Houdré · 1997
Cited alongside, same era.
Sections of convex bodies through their centroid
M. Fradelizi · 1997
Cited alongside, same era.
Isoperimetric and analytic inequalities for log-concave probability measures
S. G. Bobkov · 1999
Cited alongside, same era.
Correlations, spectral gap and log-Sobolev inequalities for unbounded spins systems
T. Bodineau and B. Helffer · 2000
Cited alongside, same era.
The geometry of Markov diffusion generators
M. Ledoux · 2000
Cited alongside, same era.
The concentration of measure phenomenon
M. Ledoux · 2001
Cited alongside, same era.
Later among the works it cites.
On the role of convexity in isoperimetry, spectral-gap and concentration
E. Milman · 2009
Later among the works it cites.
Isoperimetric and concentration inequalities - equivalence under curvature lower bound
E. Milman · 2010
Later among the works it cites.
Properties of isoperimetric, functional and transport-entropy inequalities via concentration
E. Milman · 2010
Later among the works it cites.
Small ball probability estimates for log-concave measures
G. Paouris · 2010
Later among the works it cites.
Invariances in variance estimates
F. Barthe and D. Cordero-Erausquin · 2011
Later among the works it cites.
Mixing time of monotone surfaces and SOS interfaces: a mean curvature approach
P. Caputo, F. Martinelli, and Toninelli F. L · 2011
Later among the works it cites.
From concentration to isoperimetry: Semigroup proofs
M. Ledoux · 2011
Later among the works it cites.
LSI for Kawasaki dynamics with weak interaction
G. Menz · 2011
Later among the works it cites.
Uniform logarithmic Sobolev inequalities for conservative spin systems with super-quadratic single-site potential
G. Menz and F. Otto · 2011
Later among the works it cites.
Isoperimetric bounds on convex manifolds
E. Milman · 2011
Later among the works it cites.
Sharp isoperimetric inequalities and model spaces for curvature-dimension-diameter condition
E. Milman · 2011
Later among the works it cites.