most citedFurstenberg sets estimate in the plane

2 citations · 2 across the 4 of their papers we have counts for

collaborators

6 papers

math.CA2023★ 2 cited

Furstenberg sets estimate in the plane

Kevin Ren, Hong Wang

We fully resolve the Furstenberg set conjecture in , that a -Furstenberg set has Hausdorff dimension . As a result, we obt…

math.CA2023

A note on maximal operators for the Schrödinger equation on

Yuqiu Fu, Kevin Ren, Haoyu Wang

Motivated by the study of the maximal operator for the Schrödinger equation on the one-dimensional torus , it is conjectured that for any complex sequence $ \{b_n\}…

math.CO2023

%-Immanants and Temperley-Lieb Immanants

Frank Lu, Kevin Ren, Dawei Shen +1

In this paper, we investigate the relationship between Temperley-Lieb immanants, which were introduced by Rhoades and Skandera, and %-immanants, an immanant based on a concept intr…

math.MG2021

Incidence estimates for -dimensional tubes and -dimensional balls in

Yuqiu Fu, Kevin Ren

We prove essentially sharp incidence estimates for a collection of -tubes and -balls in the plane, where the -tubes satisfy an -dimensional spacing condition and the $δ…

math.CO2021

Topology of augmented Bergman complexes

Elisabeth Bullock, Aidan Kelley, Victor Reiner +6

The augmented Bergman complex of a matroid is a simplicial complex introduced recently in work of Braden, Huh, Matherne, Proudfoot and Wang. It may be viewed as a hybrid of two wel…

quant-ph2021

Extending the Graph Formalism to Higher-Order Gates

Andrey Boris Khesin, Kevin Ren

We present an algorithm for efficiently simulating a quantum circuit in the graph formalism. In the graph formalism, we represent states as a linear combination of graphs with Clif…