Optimal transport maps, majorization, and log-subharmonic measures (with Guido De Philippis)
Stability of Wu's logarithmic Sobolev inequality via the Poisson-Föllmer process (with Shrey Aryan and Pablo López-Rivera)
Preprint. arXiv.
The Poisson transport map (with Pablo López-Rivera)
J. Funct. Anal. To appear. arXiv. Slides. Video.
Arch Rational Mech Anal. 248, 74 (2024). Journal. arXiv. Slides. Video.
Transportation onto log-Lipschitz perturbations (with Max Fathi and Dan Mikulincer)
Calc. Var. 63, 61 (2024). Journal. arXiv. Slides.
Intrinsic dimensional functional inequalities on model spaces (with Alexandros Eskenazis)
J. Funct. Anal. 286, 7 (2024). Journal. arXiv.
The extremals of Stanley's inequalities for partially ordered sets (with Zhao Yu Ma)
Adv. Math. 436 (2024). Journal. arXiv. Slides.
Ann. Henri Poincaré (2023). Journal. arXiv. Slides.
On the Lipschitz properties of transportation along heat flows (with Dan Mikulincer)
Geom. Aspects of Funct. Anal., Lecture Notes in Mathematics 2327, Springer, pp. 269-290 (2023) . Journal. arXiv. Slides. Video.
The Brownian transport map (with Dan Mikulincer)
Probab. Th. Rel. Fields (2024). Journal. arXiv. Slides. Video.
The Extremals of the Alexandrov-Fenchel Inequality for Convex Polytopes (with Ramon van Handel)
Acta Math. 231, 89-204 (2023). Journal. arXiv. Survey. Slides.
Stability of the logarithmic Sobolev inequality via the Föllmer Process (with Ronen Eldan and Joseph Lehec)
Ann. Inst. H. Poincaré Probab. Statist. Volume 56, Number 3 (2020), 2253 - 2269. Journal. arXiv.
Extremals in Minkowski’s Quadratic Inequality (with Ramon van Handel)
Duke Math. J. 171, 957 - 1027 (2022). Journal. arXiv. Slides.
Mixed volumes and the Bochner method (with Ramon van Handel)
Proc. Amer. Math. Soc. 147, 5385 - 5402 (2019). Journal. arXiv.
The equality cases of the Ehrhard-Borell inequality (with Ramon van Handel)
Adv. Math. 331, 339 - 386 (2018). Journal. arXiv.