8 citations · 23 across the 12 of their papers we have counts for
15 papers
Constrained convex bodies with extremal affine surface areas
O. Giladi, H. Huang, C. Schütt +1
Given a convex body K in R^n and p in R, we introduce and study the extremal inner and outer affine surface areas IS_p(K) = sup_{K'\subseteq K} (as_p(K') ) and os_p(K)=inf_{K'\sups…
Ergodic behaviour of a Douglas-Rachford operator away from the origin
Jonathan M. Borwein, Ohad Giladi
It is shown that away from the origin, the Douglas-Rachford operator with respect to a sphere and a convex set in a Hilbert space can be approximated by a another operator which sa…
A Lyapunov function construction for a non-convex Douglas-Rachford iteration
Ohad Giladi, Björn S. Rüffer
While global convergence of the Douglas-Rachford iteration is often observed in applications, proving it is still limited to convex and a handful of other special cases. Lyapunov f…
A remark on the convergence of the Douglas-Rachford iteration in a non-convex setting
Ohad Giladi
Using the construction of a Lyapunov function, it is shown that the Douglas-Rachford iteration with respect to a sphere and a line in is robustly -stabl…
A Perron-Frobenius type result for integer maps and applications
Ohad Giladi, Björn S. Rüffer
It is shown that for certain maps, including concave maps, on the -dimensional lattice of positive integer points, 'approximate' eigenvectors can be found. Applications in epide…
On the geometry of projective tensor products
Ohad Giladi, Joscha Prochno, Carsten Schütt +2
In this work, we study the volume ratio of the projective tensor products with . We obtain asymptotic…
Some remarks on convex analysis in topological groups
Jonathan M. Borwein, Ohad Giladi
We discuss some key results from convex analysis in the setting of topological groups and monoids. These include separation theorems, Krein-Milman type theorems, and minimax theore…
Convex analysis in groups and semigroups: a sampler
Jonathan M. Borwein, Ohad Giladi
We define convexity canonically in the setting of monoids. We show that many classical results from convex analysis hold for functions defined on such groups and semigroups, rather…
Nearest points and delta convex functions in Banach spaces
Jonathan M. Borwein, Ohad Giladi
Given a closed set in a Banach space , a point is said to have a nearest point in if there exists such that , where …
Inverse Littlewood-Offord problems for Quasi-Norms
Omer Friedland, Ohad Giladi, Olivier Guédon
Given a star-shaped domain , vectors , a number , and i.i.d. random variables , we study the geometri…
Small ball estimates for quasi-norms
Omer Friedland, Ohad Giladi, Olivier Guédon
This note contains two types of small ball estimates for random vectors in finite dimensional spaces equipped with a quasi-norm. In the first part, we obtain bounds for the small b…
A simple observation on random matrices with continuous diagonal entries
Omer Friedland, Ohad Giladi
Let be an random matrix, such that each diagonal entry is a continuous random variable, independent from all the other entries of . Then for every $n\t…
Bourgain's discretization theorem
Ohad Giladi, Assaf Naor, Gideon Schechtman
Bourgain's discretization theorem asserts that there exists a universal constant with the following property. Let be Banach spaces with . Fix $D\i…
Improved bounds in the scaled Enflo type inequality for Banach spaces
Ohad Giladi, Assaf Naor
It is shown that if (X,||.||_X) is a Banach space with Rademacher type p \ge 1, then for every integer n there exists an even integer m < Cn^{2-1/p}log n (C is an absolute constant…
Improved bounds in the metric cotype inequality for Banach spaces
Ohad Giladi, Manor Mendel, Assaf Naor
It is shown that if (X, ||.||_X) is a Banach space with Rademacher cotype q then for every integer n there exists an even integer m< n^{1+1/q}$ such that for every f:Z_m^n --> X we…