Sectional curvature and matrix displacement convexity
Gautam Aishwarya, Liran Rotem, Yair Shenfeld
Preprint.
arXiv

A dynamical formulation of multi-marginal optimal transport
Brendan Pass, Yair Shenfeld
Preprint.
arXiv • code

Optimal transport maps, majorization, and log‑subharmonic measures
Guido De Philippis, Yair Shenfeld
Annales Henri Lebesgue. To appear.
arXiv

Stability of Wu’s logarithmic Sobolev inequality via the Poisson‑Föllmer process
Shrey Aryan, Pablo López‑Rivera, Yair Shenfeld
Preprint.
arXiv

The Poisson transport map
Pablo López‑Rivera, Yair Shenfeld
Journal of Functional Analysis, 288, 10.
Journal • arXiv

Matrix displacement convexity along density flows
Yair Shenfeld
Archive for Rational Mechanics and Analysis, 248, 74 (2024).
Journal • arXiv

Transportation onto log‑Lipschitz perturbations
Max Fathi, Dan Mikulincer, Yair Shenfeld
Calculus of Variations and Partial Differential Equations, 63, 61 (2024).
Journal • arXiv

Intrinsic dimensional functional inequalities on model spaces
Alexandros Eskenazis, Yair Shenfeld
Journal of Functional Analysis, 286, 7 (2024).
Journal • arXiv

The extremals of Stanley’s inequalities for partially ordered sets
Zhao Yu Ma, Yair Shenfeld
Advances in Mathematics, 436 (2024).
Journal • arXiv

Exact renormalization groups and transportation of measures
Yair Shenfeld
Annales Henri Poincaré, 25, 1897–1910 (2024).
Journal • arXiv

On the Lipschitz properties of transportation along heat flows
Dan Mikulincer, Yair Shenfeld
In Geometric Aspects of Functional Analysis, Lecture Notes in Mathematics, 2327, 269-290, Springer (2023).
Journal • arXiv

The Brownian transport map
Dan Mikulincer, Yair Shenfeld
Probability Theory and Related Fields, 190, 379-444 (2024).
Journal • arXiv

The Extremals of the Alexandrov‑Fenchel Inequality for Convex Polytopes
Yair Shenfeld, Ramon van Handel
Acta Mathematica, 231, 89–204 (2023).
Journal • arXiv • Survey

Stability of the logarithmic Sobolev inequality via the Föllmer Process
Ronen Eldan, Joseph Lehec, Yair Shenfeld
Annales de l’Institut Henri Poincaré, Probabilités et Statistiques, 56(3):2253–2269 (2020).
Journal • arXiv

The extremals of Minkowski’s quadratic inequality
Yair Shenfeld, Ramon van Handel
Duke Mathematical Journal, 171, 957–1027 (2022).
Journal • arXiv

Mixed volumes and the Bochner method
Yair Shenfeld, Ramon van Handel
Proceedings of the American Mathematical Society, 147, 5385–5402 (2019).
Journal • arXiv

The equality cases of the Ehrhard‑Borell inequality
Yair Shenfeld, Ramon van Handel
Advances in Mathematics, 331, 339–386 (2018).
Journal • arXiv