Jonathan Pakianathan

activity

19992026

most citedBasis-conjugating automorphisms of a free group and associated Lie algebras

49 citations · 130 across the 30 of their papers we have counts for

collaborators

37 papers

math.AT2026

Configuration Spaces and Braid Groups

Fred Cohen, Jonathan Pakianathan

The main thrust of these notes is 3-fold: (1) An analysis of certain $K (π, 1)$ 's that arise from the connections between configuration spaces, braid groups, and mapping class groups…

math.CA2024

A quantitative version of the Steinhaus theorem

Alex Iosevich, Jonathan Pakianathan

The classical Steinhaus theorem (\cite{Steinhaus1920}) says that if $A \subset R^{d}$ has positive Lebesgue measure than $A - A = {x - y : x, y \in A}$ contains an open ball. We obt…

math.PR2019

Random gap processes and asymptotically complete sequences

Erin Crossen Brown, Sevak Mkrtchyan, Jonathan Pakianathan

We study a process of generating random positive integer weight sequences ${W_{n}}$ where the gaps between the weights ${X_{n} = W_{n} - W_{n - 1}}$ are i.i.d. positive integer-val…

math.CO2018

Cayley Digraphs Associated to Arithmetic Groups

David Covert, Yeşim Demiroğlu Karabulut, Jonathan Pakianathan

We explore a paradigm which ties together seemingly disparate areas in number theory, additive combinatorics, and geometric combinatorics including the classical Waring problem, th…

math.CA2017

On Gabor orthonormal bases over finite prime fields

A. Iosevich, M. Kolountzakis, Yu. Lyubarskii +2

We study Gabor orthonormal windows in $L^{2} (Z_{p}^{d})$ for translation and modulation sets $A$ and $B$ , respectively, where $p$ is prime and $d \geq 2$ . We prove that for a set $…

math.CA2017★ 6 cited

Rigidity, graphs and Hausdorff dimension

N. Chatzikonstantinou, A. Iosevich, S. Mkrtchyan +1

For a compact set $E \subset R^{d}$ and a connected graph $G$ on $k + 1$ vertices, we define a $G$ -framework to be a collection of $k + 1$ points in $E$ such that the distance be…