Lehec, Joseph

1. Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound
   2024/12/19 by Boaz Klartag, Joseph Lehec, Klartag, Boaz +1 · 4 voices · 14 citations
   #math.MG #math.FA #math.PR
2. Sampling from a log-concave distribution with Projected Langevin Monte\n Carlo
   2015/07/09 by Sébastien Bubeck, Ronen Eldan, Bubeck, Sébastien +3 · 10 citations
   Mathematics · Computer Science · #Markov Chains and Monte Carlo Methods #Bayesian Methods and Mixture Models #Statistical Methods and Inference
3. Bourgain's slicing problem and KLS isoperimetry up to polylog
   2022/03/29 by Bo’az Klartag, Klartag, Bo'az, Joseph Lehec +1 · 9 citations
   Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic Geometry and Number Theory
4. Isoperimetric inequalities in high-dimensional convex sets
   2024/06/03 by Klartag, Bo'az, Lehec, Joseph · 8 citations
   #FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR)
5. Poisson processes and a log-concave Bernstein theorem
   2018/02/12 by Klartag, Bo'az, Lehec, Joseph · 3 citations
   #FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR)
6. Representation formula for the entropy and functional inequalities
   2010/06/15 by Lehec, Joseph · 3 citations
   #39B62 (60H30) #FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR)
7. Regularization in L₁ for the Ornstein--Uhlenbeck semigroup
   2015/05/15 by Joseph Lehec, Lehec, Joseph · 1 citation
   Economics, Econometrics and Finance · Mathematics · #39B62 (60J65) #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Probability (math.PR) #Stochastic processes and financial applications
8. Thin-shell bounds via parallel coupling
   2025/07/21 by Klartag, Boaz, Lehec, Joseph · 6 citations
   #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG) #Probability (math.PR)
9. Stability of the logarithmic Sobolev inequality via the Föllmer Process
   2019/03/11 by Eldan, Ronen, Lehec, Joseph, Shenfeld, Yair · 1 citation
   #FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR)
10. The Langevin Monte Carlo algorithm in the non-smooth log-concave case
    2021/01/26 by Joseph Lehec, Lehec, Joseph · 1 citation
    Mathematics · Computer Science · #Markov Chains and Monte Carlo Methods #Stochastic Gradient Optimization Techniques #Mathematical Approximation and Integration