Yaron Ostrover

Yaron Ostrover - Research

My primary areas of interest are symplectic geometry and Hamiltonian dynamics.
In particular, I am interested in Floer and quantum homology, the geometry of
the group of Hamiltonian diffeomorphisms, billiard dynamics, and the theory
of symplectic capacities.

Papers and Preprints:

Note: the files here might be slightly different than the published versions.

Remarks about Mixed Discriminants and Volumes (with S. Artstein-Avidan and D. Florentin).

Preprint. arXiv: 1306.1315. To appear in Communications in Contemporary Mathematics.

From Symplectic Measurements to the Mahler Conjecture (with R. Karasev and S. Artstein-Avidan).

Preprint. arXiv: 1303.4197. Submitted.

The Existence of a Billiard Orbit in the Regular Hyperbolic Simplex (with O. Badt).

Preprint. arXiv:1302.6496. Submitted.

Bounds for Minkowski Billiard Trajectories in Convex Bodies (with S. Artstein-Avidan).

International Mathematics Research Notices. (2012) doi: 10.1093/imrn/rns216.

On the Uniqueness of Hofer's Geometry (with L. Buhovsky).

Geometric and Functional Analysis. December 2011, Volume 21, Issue 6, pp 1296-1330.

Localization of Multi-Dimensional Wigner Distributions (with E. H. Lieb).

Journal of Mathematical Physics, Vol 51, Issue 10, (2010). doi:10.10631/1.3486068.

On the Quantum Homology Algebra of Toric Fano Manifolds (with I. Tyomkin).

Selecta Mathematica. Volume 15, Number 1, June 2009, 121-149.

Brunn-Minkowski Inequality for Symplectic Capacities of Convex Domains (with S. Artstein-Avidan).

International Mathematics Research Notices. Volume 2008, (2008). article ID rnn044, 31pp.

The M-ellipsoid, Symplectic Capacities and Volume (with S. Artstein-Avidan and V. Milman).

Commentarii Mathematici Helvetici. Volume 83, Issue 2, (2008), 359-369.

On Symplectic Capacities and Volume Radius (with S. Artstein-Avidan).

Preprint. math.SG/0603411.

Calabi Quasi-morphisms for Some Non-monotone Symplectic Manifolds.

Algebraic & Geometric Topology 6 (2006), 405-434.

On the Extremality of Hofer's Metric on the Group of Hamiltonian Diffeomorphism (with R. Wagner).

International Mathematics Research Notices. No. 35 (2005), 2123-2142.

A Comparison of Hofer's Metrics on Hamiltonian Diffeomorphisms and Lagrangian Submanifolds.

Communications in Contemporary Mathematics Vol. 5, No. 5 (2003), 803-812.

Geometric and Algebraic properties of the group of Hamiltonian Diffeomorphisms. Ph.D thesis (pdf).