Lectures on Logarithmic Sobolev Inequalities
By Alice Guionnet, B. Zegarlinksi. 2003
252 citations recorded by the source corpus.
Subfields: Mathematical Physics, Numerical Analysis, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/58f57412c359685c5b7a120f6e099c5bdf7cdc67
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Mathematical Physics
- Patrick Cattiaux
- Cyril Roberto
- Franck Barthe
- Waldemar Hebisch
- B. Zegarlinski
- Andrea Montanari
- Alexander Soshnikov
- David Renfrew
In Numerical Analysis
- Patrick Cattiaux
- Cyril Roberto
- B. Zegarlinski
- Franck Barthe
- Andrea Montanari
- Arnaud Guillin
- Nathael Gozlan
- Emanuel Milman
In Statistics and Probability
- Patrick Cattiaux
- Cyril Roberto
- Franck Barthe
- Waldemar Hebisch
- B. Zegarlinski
- Emanuel Milman
- Arnaud Guillin
- Andrea Montanari
Citations in the corpus
- Rigorous Inequalities Between Length and Time Scales in Glassy Systems (2006, background): “Lemma 1 is a well known elementary result for Markov chains with time-independent boundary conditions (see for instance [15] for a functional-analytic argument).”
- Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry (2004, background): “In particular, several surveys deal with the celebrated Poincaré (or spectral gap) inequality and the stronger logarithmic-Sobolev inequality and provide striking applications [33], [4], [3], [39], [34], [52].”
- Functional Inequalities for Heavy Tailed Distributions and Application to Isoperimetry (2010, unknown): “We refer to [37], [2], [31], [1], [41], [57], [38], [51], [10], [30] for an introduction.”
- Orlicz–Sobolev inequalities for sub-Gaussian measures and ergodicity of Markov semi-groups☆ (2006, methodology): “[Gro93], [Bak94], [Led99], [ABC+00], [GZ03] and [Roy99].”
- Coercive Inequalities on Metric Measure Spaces (2009, background): “For probability measures on the real line the necessary and sufficient condition for Poincaré inequality characterising the density (of the absolutely continuous part with respect to the Lebesgue measure) were established long time ago by Muckenphout, [36], ([34]).”
- On finite rank deformations of Wigner matrices (2011, background): “of XN satisfies the Poincaré inequality with the constant (1)2Nυ since the Poincaré inequality tensorizes ([1,20]).”
- Mass Transport and Variants of the Logarithmic Sobolev Inequality (2007, unknown): “[5], [7], [24], [41], [42], [48], [57].”