M. Rudnev

activity

20052026

most citedNew results on sum-product type growth over fields

52 citations · 222 across the 27 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.CO2019★ 2 cited

An Energy Bound in the Affine Group

Giorgis Petridis, Oliver Roche-Newton, Misha Rudnev +1

We prove a nontrivial energy bound for a finite set of affine transformations over a general field and discuss a number of implications. These include new bounds on growth in the a…

math.CO2019★ 7 cited

Bisector energy and pinned distances in positive characteristic

Brendan Murphy, Misha Rudnev, Sophie Stevens

We prove a new lower bound for the number of pinned distances over finite fields: if $A$ is a sufficiently small subset of $F_{q}^{2}$ , then there is an element in $A$ that de…

math.CO2019★ 1 cited

On the number of hinges defined by a point set in $R^{2}$

Misha Rudnev

It is shown that the number of distinct types of three-point hinges, defined by a real plane set of $n$ points is $≫ n^{2} lo g^{- 3} n$ , where a hinge is identified by fixing two pa…

An Energy Bound in the Affine Group

Bisector energy and pinned distances in positive characteristic

On the number of hinges defined by a point set in R2

On the number of hinges defined by a point set in $R^{2}$