Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Memarian, Yashar"'
Autor:
Gournay, Antoine, Memarian, Yashar
Critical nets in $\mathbb{R}^k$ (sometimes called geodesic nets) are embedded graph with the property that their embedding is a critical point of the total (edge) length functional and under the constraint that certain 1-valent vertices (leaves) have
Externí odkaz:
http://arxiv.org/abs/1910.09002
Autor:
Memarian, Yashar
Klartag's needle decomposition technique enables one to obtain strong isoperimetric inequalities on Riemannian manifolds other than the classical known examples. As a result, in this paper, we obtain sharp isoperimetric inequalities for compact rank
Externí odkaz:
http://arxiv.org/abs/1710.03952
Autor:
Memarian, Yashar
Spherical localisation is a technique whose history goes back to M.Gromov and V.Milman. It's counterpart, the Euclidean localisation is extensively studied and has been put to great use in various branches of mathematics. The purpose of this paper is
Externí odkaz:
http://arxiv.org/abs/1507.00915
Autor:
Memarian, Yashar
The goal of this paper is to present a lower bound for the Mahler volume of at least 4-dimensional symmetric convex bodies. We define a computable dimension dependent constant through a 2-dimensional variational (max-min) procedure and demonstrate th
Externí odkaz:
http://arxiv.org/abs/1501.02009
Autor:
Memarian, Yashar
In this paper, I shall demonstrate that sufficiently high-dimensional closed positively-curved Riemannian manifolds are either diffeomorphic to a spherical space form, or isometric to a locally compact rank one symmetric space. This surprising classi
Externí odkaz:
http://arxiv.org/abs/1402.4947
Autor:
Memarian, Yashar
In this paper I present a comparison theorem for the waist of Riemannian manifolds with positive sectional curvature. The main theorem of this paper gives a partial positive answer to a conjecture formulated by M.Gromov in [8]. The content of this pa
Externí odkaz:
http://arxiv.org/abs/1312.0792
Autor:
Memarian, Yashar
In this paper we present a correlation inequality with respect to Cauchy type measures. To prove our inequality, we transport the problem onto the Riemannian sphere then state and solve some special cases for a spherical correlation problem. This met
Externí odkaz:
http://arxiv.org/abs/1310.8130
Autor:
Memarian, Yashar
A radial probability measure is a probability measure with a density (with respect to the Lebesgue measure) which depends only on the distances to the origin. Consider the Euclidean space enhanced with a radial probability measure. A correlation prob
Externí odkaz:
http://arxiv.org/abs/1310.8099
Autor:
Memarian, Yashar
Publikováno v:
Compositio Math. 148 (2012) 1238-1264
In this paper we give a lower bound on the waist of the unit sphere of a uniformly convex normed space by using the localization technique in codimension greater than one and a strong version of the Borsuk-Ulam theorem. The tools used in this paper f
Externí odkaz:
http://arxiv.org/abs/1001.0260
Autor:
Memarian, Yashar
The goal of this paper is to give a detailed and complete proof of M. Gromov's waist of the sphere theorem.
Comment: 34 pages, 1 figure
Comment: 34 pages, 1 figure
Externí odkaz:
http://arxiv.org/abs/0911.3972