Lyapunov conditions for Super Poincaré inequalities
By Patrick Cattiaux, Arnaud Guillin, Feng-Yu Wang, Liming Wu. 2009
68 citations recorded by the source corpus.
Subfields: Applied Mathematics, Mathematical Physics, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/e0bcc24ababa930e16559ba805704e1cd13db74d
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Arnaud Guillin
- Nathael Gozlan
- Patrick Cattiaux
- Cyril Roberto
- Michael Röckner
- Emanuel Milman
- Vladimir Bogachev
- Liming Wu
In Mathematical Physics
- Arnaud Guillin
- Patrick Cattiaux
- Michael Röckner
- Raphael Zimmer
- Andreas Eberle
- Liming Wu
- Nathael Gozlan
- Vladimir Bogachev
In Statistics and Probability
- Arnaud Guillin
- Patrick Cattiaux
- Raphael Zimmer
- Andreas Eberle
- Nathael Gozlan
- D. Bakry
- Liming Wu
- Fuqing Gao
Citations in the corpus
- Elliptic and parabolic equations for measures (2009, background): “Hypercontractivity of diffusion semigroups on finite-dimensional spaces, Poincaré, log-Sobolev, and other related inequalities for them are studied in [12], [54], [87], [112], [149].”
- Functional Inequalities for Heavy Tailed Distributions and Application to Isoperimetry (2010, methodology): “One is based on the Lyapunov function approach [4, 29 , 3], the other is based on mass transportation method [34, 35] (see also [14, 53, 19, 21]).”
- Bernstein type's concentration inequalities for symmetric Markov processes (2010, methodology): “More recently, they have been used to study functional inequalities such as weak Poincaré inequality [5] or super-Poincaré inequality [16].”
- Quantitative Harris-type theorems for diffusions and McKean–Vlasov processes (2016, methodology): “In [12], a reinforced Lyapunov condition has been used to prove stronger functional inequalities than Poincaré inequalities (namely super Poincaré inequalities, including logarithmic Sobolev inequalities).”
- A note on Talagrand’s transportation inequality and logarithmic Sobolev inequality (2008, background): “One will also remark that contrary to [3, 11, 12 ], we will not use localization technique, constants are thus easier to derive.”
- A simple proof of the Poincaré inequality for a large class of probability measures (2008, background): “Pushing forward these ideas, a new proof of Bakry-Emery criterion is obtained in [ 5 ].”