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pro vyhledávání: '"Assouline, Rotem"'
Autor:
Assouline, Rotem
We study the Brunn-Minkowski and Borell-Brascamp-Lieb inequalities on a Riemannian manifold endowed with an exact magnetic field, replacing geodesics by minimizers of an action functional given by the length minus the integral of the magnetic potenti
Externí odkaz:
http://arxiv.org/abs/2409.08001
We prove two special cases of a strengthened Gaussian correlation conjecture, due to Tehranchi, and show that if the conjecture holds asymptotically, it holds for any dimension. Additionally, we use these special cases to prove a refined version of t
Externí odkaz:
http://arxiv.org/abs/2407.15684
Autor:
Assouline, Rotem
We study distance functions from geodesics to points on Riemannian surfaces with H\"older continuous Gauss curvature, and prove a finiteness principle in the spirit of Whitney extension theory for such functions. Our result can be viewed as a finiten
Externí odkaz:
http://arxiv.org/abs/2401.11962
Autor:
Assouline, Rotem
Publikováno v:
J Geom Anal 34, 339 (2024)
We propose a generalization of the Minkowski average of two subsets of a Riemannian manifold, in which geodesics are replaced by an arbitrary family of parametrized curves. Under certain assumptions, we characterize families of curves on a Riemannian
Externí odkaz:
http://arxiv.org/abs/2211.04585
Autor:
Assouline, Rotem, Klartag, Bo'az
Publikováno v:
Advances in Mathematics, Volume 436, 2024
Given two non-empty subsets $A$ and $B$ of the hyperbolic plane $\mathbb{H}^2$, we define their horocyclic Minkowski sum with parameter $\lambda=1/2$ as the set $[A:B]_{1/2} \subseteq \mathbb{H}^2$ of all midpoints of horocycle curves connecting a po
Externí odkaz:
http://arxiv.org/abs/2208.09826
Autor:
Assouline, Rotem
Publikováno v:
Analysis and Geometry in Metric Spaces, vol. 10, no. 1, 2022, pp. 146-154
We propose a model for a growth competition between two subsets of a Riemannian manifold. The sets grow at two different rates, avoiding each other. It is shown that if the competition takes place on a surface which is rotationally symmetric about th
Externí odkaz:
http://arxiv.org/abs/2104.11429
Autor:
Assouline, Rotem, Klartag, Bo'az
Publikováno v:
In Advances in Mathematics January 2024 436
Autor:
Assouline Rotem
Publikováno v:
Analysis and Geometry in Metric Spaces, Vol 10, Iss 1, Pp 146-154 (2022)
We propose a model for a growth competition between two subsets of a Riemannian manifold. The sets grow at two different rates, avoiding each other. It is shown that if the competition takes place on a surface which is rotationally symmetric about th
Externí odkaz:
https://doaj.org/article/ee0882388f844c4c858b253f099844c2
Autor:
Assouline, Rotem
Publikováno v:
Journal of Geometric Analysis; Nov2024, Vol. 34 Issue 11, p1-27, 27p
Autor:
Assouline, Rotem
We define Minkowski summation with respect to a path space on a manifold, extending the well-known notion of geodesic Minkowski sum. For path spaces on two-dimensional Riemannian manifolds consisting of constant-speed curves, we give necessary and su
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e35a8e12ebc615c00618ab28f597569a
http://arxiv.org/abs/2211.04585
http://arxiv.org/abs/2211.04585