# Franck Barthe

#77,834

Most Influential Person Now

French mathematician

## Franck Barthe's AcademicInfluence.com Rankings

Franck Barthemathematics Degrees

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

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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?

(Suggest an Edit or Addition)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.

## Franck Barthe's Published Works

### 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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## What Schools Are Affiliated With Franck Barthe?

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