Franck Barthe | Academic Influence

Franck Barthe's AcademicInfluence.com Rankings

Franck Barthe

Mathematics

#4417

World Rank

#6278

Historical Rank

Differential Geometry

#128

World Rank

#150

Historical Rank

Geometry

#131

World Rank

#198

Historical Rank

Measure Theory

#4166

World Rank

#4907

Historical Rank

mathematics Degrees

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Mathematics

Franck Barthe's Degrees

PhD Mathematics Federal University of Toulouse Midi-Pyrénées
Masters Mathematics Federal University of Toulouse Midi-Pyrénées
Bachelors Mathematics Federal University of Toulouse Midi-Pyrénées

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Why Is Franck Barthe Influential?

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According to Wikipedia, Franck Barthe is a French mathematician. He was awarded the European Congress of Mathematics prize in 2004. He is working as a professor of mathematics at Paul Sabatier University. Work Franck Barthe is known for his reverse form of the Brascamp-Lieb inequality. With Keith M. Ball, Shiri Artstein, and Assaf Naor, he solved Shannon's problem of the monotonic entropy increase of sums of random variables.

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Franck Barthe's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

On a reverse form of the Brascamp-Lieb inequality (1997) (335)
A probabilistic approach to the geometry of the ℓᵨⁿ-ball (2005) (215)
A simple proof of the Poincaré inequality for a large class of probability measures (2008) (207)
Solution of Shannon's problem on the monotonicity of entropy (2004) (170)
Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry (2004) (140)
Sobolev inequalities for probability measures on the real line (2003) (123)
Optimal young's inequality and its converse: a simple proof (1997) (103)
On the rate of convergence in the entropic central limit theorem (2004) (83)
Learning from Dependent Observations (2006) (74)
Mass Transport and Variants of the Logarithmic Sobolev Inequality (2007) (71)
Entropy jumps in the presence of a spectral gap (2003) (67)
Some remarks on isoperimetry of Gaussian type (2000) (66)
Combinatorial Optimization Over Two Random Point Sets (2011) (65)
An extremal property of the mean width of the simplex (1998) (57)
A Continuous Version of the Brascamp-Lieb Inequalities (2004) (55)
Invariances in variance estimates (2011) (54)
Isoperimetry between exponential and Gaussian (2006) (48)
Concentration for independent random variables with heavy tails (2005) (47)
Extremal slabs in the cube and the Laplace transform (2003) (45)
The volume product of convex bodies with many hyperplane symmetries (2013) (44)
Hyperplane projections of the unit ball of ℓpn (2002) (44)
The BrunnMinkowski theorem and related geometric and functional inequalities (2006) (43)
Poincaré inequalities on intervals – application to sensitivity analysis (2016) (41)
Entropy of spherical marginals and related inequalities (2006) (38)
Correlation and Brascamp–Lieb Inequalities for Markov Semigroups (2009) (37)
Log-concave and spherical models in isoperimetry (2002) (36)
Extremal Properties of Central Half-Spaces for Product Measures (2001) (36)
Inverse Brascamp-Lieb Inequalities along the Heat Equation (2004) (34)
Levels of concentration between exponential and Gaussian (2001) (32)
Generalized Dirichlet distributions on the ball and moments (2010) (32)
Remarks on non-interacting conservative spin systems: The case of gamma distributions (2009) (32)
Modified logarithmic Sobolev inequalities on R (2006) (31)
Stability of the functional forms of the Blaschke-Santaló inequality (2012) (28)
Transference Principles for Log-Sobolev and Spectral-Gap with Applications to Conservative Spin Systems (2012) (25)
L 1 -SMOOTHING FOR THE ORNSTEIN–UHLENBECK SEMIGROUP. (2013) (19)
A Short Solution to the Busemann-Petty Problem (1999) (19)
On Gaussian Brunn-Minkowski inequalities (2008) (18)
A Note on Simultaneous Polar and Cartesian Decomposition (2003) (16)
An Isoperimetric Result for the Gaussian Measure and Unconditional Sets (2001) (15)
Infinite Dimensional Isoperimetric Inequalities in Product Spaces with the Supremum Distance (2004) (14)
Logarithmic Sobolev inequalities for harmonic measures on spheres (2014) (12)
Spectral gaps, symmetries and log-concave perturbations (2019) (10)
Shift inequalities of Gaussian type and norms of barycentres (2001) (10)
Modified Logarithmic Sobolev Inequalities on $\mathbb{R}$ (2008) (9)
Isoperimetric Inequalities, Probability Measures and Convex Geometry (2005) (9)
Positivity improvement and Gaussian kernels (2014) (8)
Positive Gaussian Kernels also Have Gaussian Minimizers (2018) (7)
Volume properties of high-dimensional Orlicz balls (2021) (6)
RESTRICTED PREKOPA-LEINDLER INEQUALITY (1999) (6)
Isoperimetry and stability of hyperplanes for product probability measures (2011) (6)
Volumes of subset Minkowski sums and le Lyusternik region (2021) (4)
The volume product of convex bodies with many symmetries (2010) (4)
Logarithmic Sobolev inequalities for Moebius measures on spheres (2017) (3)
Elementary solution to the Busemann-Petty problem (1998) (3)
Semicircularity, Gaussianity and Monotonicity of Entropy (2005) (3)
A Gaussian correlation inequality for plurisubharmonic functions (2022) (2)
Functional Inequalities for Two-Level Concentration (2019) (2)
Transference Principles for Log-Sobolev and Spectral-Gap with Applications to Conservative Spin Systems (2013) (2)
Transportation techniques and Gaussian inequalities (2008) (2)
Matchings and the variance of Lipschitz functions (2009) (2)
Some Remarks on Isoperimetry of Gaussian Type F (1999) (1)
Perimeters, uniform enlargement and high dimensions (2014) (1)
Stability of the functional forms of the Blaschke-Santaló inequality (2013) (0)
2 7 Ja n 20 06 Semicircularity , Gaussianity and Monotonicity of Entropy (2005) (0)
Bobkov’s Inequality via Optimal Control Theory (2017) (0)
Excursion in one-dimensional Poincaré inequalities for global sensitivity analysis (2016) (0)
Isoperimetry and stability of hyperplanes for product probability measures (2011) (0)
Isoperimetric Problems Between Analysis and Geometry ” Invited talks (2014) (0)
Institute for Mathematical Physics Some Remarks on Isoperimetry of Gaussian Type Some Remarks on Isoperimetry of Gaussian Type (2009) (0)
PR ] 1 3 Ju l 2 00 4 Interpolated inequalities between exponentialand Gaussian , Orlicz hypercontractivity and isoperimetry (2004) (0)
J ul 2 01 9 Spectral gaps , symmetries and log-concave perturbations (0)
ec 2 00 5 Semicircularity , Gaussianity and Monotonicity of Entropy (2005) (0)

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