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

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math.MG2024

Stability in the Banach isometric conjecture and nearly monochromatic Finsler surfaces

Gautam Aishwarya, Dmitry Faifman

The Banach isometric conjecture asserts that a normed space with all of its $k$ -dimensional subspaces isometric, where $k \geq 2$ , is Euclidean. The first case of $k = 2$ is classical…

math.MG2023

Volume growth of Funk geometry and the flags of polytopes

Dmitry Faifman, Constantin Vernicos, Cormac Walsh

We consider the Holmes--Thompson volume of balls in the Funk geometry on the interior of a convex domain. We conjecture that for a fixed radius, this volume is minimized when the d…

math.MG2011

The quotient girth of normed spaces, and an extension of Schäffer's dual girth conjecture to Grassmannians

Dmitry Faifman

In this note we introduce a natural Finsler structure on convex surfaces, referred to as the projective Finsler structure, which is dual in a sense to the obvious inclusion of a co…