Fetching the paper…
Reading the bibliography…
Let $\mu$ and $\nu$ be two probability measures on $\R^d$, where $\mu(\d x)= \e^{-V(x)}\d x$ for some $V\in C^1(\R^d)$.
L. Gross, Logarithmic Sobolev inequalities, Amer. J. Math. 97(1975), 1061–1083
1975
Earlier work this paper cites.
S. Aida, I. Shigekawa, Logarithmic Sobolev inequalities and spectral gaps: Perturbation theory , J. Funct. Anal. 126(1994), 448–475
1994
Earlier work this paper cites.
L. Miclo, An example of application of discrete Hardy’s inequalities, Markov Proc. Relat. Fields 2(1996), 263–284
1996
Earlier work this paper cites.
S. Aida, Uniform positivity improving property, Sobolev inequalities, and spectral gaps , J. Funct. Anal. 158(1998), 152–185
1998
Earlier work this paper cites.
S. G. Bobkov, F. Götze, Exponential integrability and transportation cost related to logarithmic Sobolev inequalities, J. Funct. Anal. 163(1999), 1–28
1999
Earlier work this paper cites.
F.-Y. Wang, Functional inequalities for empty essential spectrum, J. Funct. Anal. 170(2000), 219–245
2000
Earlier work this paper cites.
F.-Y. Wang, Functional inequalities, semigroup properties and spectrum estimates, Infin. Dimens. Anal. Quant. Probab. Relat. Topics 3(2000), 263–295
2000
Cited alongside, same era.
F.-Y. Wang, Functional Inequalities, Markov Processes and Spectral Theory, Science Press, Beijing, 2005
2005
Cited alongside, same era.
D. Bakry, M. Ledoux, F.-Y. Wang, Perturbations of functional inequalities using growth conditions, J. Math. Pures Appl. 87(2007), 394–407
2007
Cited alongside, same era.
D. Bakry, F. Barthe, P. Cattiaux, A. Guillin, A simple proof of the Poincaré inequality for a large class of measures including the logconcave case , Electron. Comm. Probab. 13(2008), 60–66
2008
Cited alongside, same era.
D. Bakry, P. Cattiaux, A. Guillin, Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincaré , J. Funct. Anal. 254(2008), 727–759
P. Cattiaux, A. Guillin, F.-Y. Wang, L. Wu, Lyapunov conditions for Super Poincaré inequalities, J. Funct. Anal. 256(2009), 1821–1841
2009
Later among the works it cites.
P. Cattiaux, A. Guillin, L. Wu, A note on Talagrand’s transportation inequality and logarithmic Sobolev inequality, Probab. Theory Relat. Fields 148(2010), 285–304
2010
Later among the works it cites.
D. Chafai, Entropies, convexity, and functional inequalities, J. Math. Kyoto Uni. 44(2010), 325–363
2010
Later among the works it cites.
D. Zimmermann, Logarithmic Sobolev inequalities for mollified compactly supported measures, J. Funct. Anal. 265(2013), 1064–1083
2013
Closest in time.
F.-Y. Wang, Criteria of spectral gap for Markov operators, J. Funct. Anal. 266(2014), 2137–2152
2014
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2008
Cited alongside, same era.
Cited in the paper.
Cited in the paper.
L. Miclo, On hyperboundedness and spectrum of Markov operators, to appear in Inven. Math. , also see http://hal.archives-ouvertes.fr/hal-00777146v3
Cited in the paper.
Cited in the paper.