Fei Peng

activity

20202025

most citedDistribution of missing differences in diffsets

2 citations · 2 across the 10 of their papers we have counts for

collaborators

10 papers

math.AG2025

Orlov's theorem over a quasiexcellent ring

Fei Peng

Following the approach of Kawamata and Canonaco-Stellari, we establish Orlov's representability theorem for smooth tame Deligne-Mumford stacks with projective coarse moduli spaces…

math.CO2024

An improved bound on Seymour's second neighborhood conjecture

Hao Huang, Fei Peng

Seymour's celebrated second neighborhood conjecture, now more than thirty years old, states that in every oriented digraph, there is a vertex $u$ such that the size of its second o…

math.GR2024

Measure doubling in unimodular locally compact groups and quotients

Zuxiang Kong, Fei Peng, Chieu-Minh Tran

We consider a (possibly discrete) unimodular locally compact group $G$ with Haar measure $μ_{G}$ , and a compact $A \subseteq G$ of positive measure with $μ_{G} (A^{2}) \leq K μ_{G} (A)$ . Let $H…

math.CO2024

A variable version of the quasi-kernel conjecture

Jiangdong Ai, Xiangzhou Liu, Fei Peng

A quasi-kernel of a digraph $D$ is an independent set $Q$ such that every vertex can reach $Q$ in at most two steps. A 48-year conjecture made by P.L. Erdős and Székely, denoted th…

math.NT2022

Walking to Infinity on the Fibonacci Sequence

Steven J. Miller, Fei Peng, Tudor Popescu +1

An interesting open problem in number theory asks whether it is possible to walk to infinity on primes, where each term in the sequence has one more digit than the previous. In thi…

math.NT2021

Coprime Mappings and Lonely Runners

Tom Bohman, Fei Peng

For $x$ real, let ${x}$ be the fractional part of $x$ (i.e. ${x} = x - ⌊ x ⌋$ ). The lonely runner conjecture can be stated as follows: for any $n$ positive inte…

math.CO2021

A Construction for Boolean cube Ramsey numbers

Tom Bohman, Fei Peng

Let $Q_{n}$ be the poset that consists of all subsets of a fixed $n$ -element set, ordered by set inclusion. The poset cube Ramsey number $R (Q_{n}, Q_{n})$ is defined as the least $m$ such…

math.NT2020

Walking to Infinity Along Some Number Theory sequences

Steven J. Miller, Fei Peng, Tudor Popescu +3

An interesting open conjecture asks whether it is possible to walk to infinity along primes, where each term in the sequence has one digit more than the previous. We present differ…

math.MG2020

What can you draw?

Florian Frick, Fei Peng

We address the problem of which planar sets can be drawn with a pencil and eraser. The pencil draws any union of black open unit disks in the plane $R^{2}$ . The eraser produ…

math.CO2020★ 2 cited

Distribution of missing differences in diffsets

Scott Harvey-Arnold, Steven J. Miller, Fei Peng

Lazarev, Miller and O'Bryant investigated the distribution of $∣ S + S ∣$ for $S$ chosen uniformly at random from ${0, 1, \dots, n - 1}$ , and proved the existence of a divot at missing…