Dmitry Faifman

activity

20082026

most citedStatistics of the zeros of zeta functions in families of hyperelliptic curves over a finite field

47 citations · 98 across the 20 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.PR2014

Lipschitz functions on the infinite-dimensional torus

Dmitry Faifman, Bo'az Klartag

We discuss the spectrum phenomenon for Lipschitz functions on the infinite-dimensional torus. Suppose that $f$ is a measurable, real-valued, Lipschitz function on the torus $\mathb…

math.DG2014

Generalized translation invariant valuations and the polytope algebra

Andreas Bernig, Dmitry Faifman

We study the space of generalized translation invariant valuations on a finite-dimensional vector space and construct a partial convolution which extends the convolution of smooth…

math.FA2014

On the oscillation rigidity of a Lipschitz function on a high-dimensional flat torus

Dmitry Faifman, Bo'az Klartag, Vitali Milman

Given an arbitrary $1$ -Lipschitz function $f$ on the torus $T^{n}$ , we find a $k$ -dimensional subtorus $M \subseteq T^{n}$ , parallel to the axes, such that the restr…