Yifan Jing

activity

20172026

most citedMinimal and nearly minimal measure expansions in connected unimodular groups

6 citations · 33 across the 35 of their papers we have counts for

collaborators

Showing 2026Show all

8 papers · 1 filter

math.NT2026

Geometric lifting and Freiman's $3 k - 4$ theorem in compact connected abelian groups

Yifan Jing, Yuchen Meng

We develop a geometric lifting method for inverse sumset problems in compact connected abelian groups. The first result is an analogue of Freiman's $3 k - 4$ theorem, that is every co…

math.CA2026

Near diagonal additive energy bound for points on algebraic surfaces

Yifan Jing, Shukun Wu

Let $F : R^{3} \to R$ be a polynomial that is irreducible over $R$ with $deg F \geq 2$ . We prove that, for any finite $X \subset Z (F)$ that does not concen…

math.GR2026

A nonabelian Brunn-Minkowski inequality II

Yifan Jing, Chieu-Minh Tran

We prove that every unimodular locally compact group $G$ of noncompact Lie dimension $n$ satisfies the sharp Brunn--Minkowski inequality \[ μ_G(XY)^{1/n}\geμ_G(X)^{1/n}+μ_G(Y)^{1/n…

math.CA2026

Kakeya sets and dimension compression in compact Lie groups

Yifan Jing, Shukun Wu

We study two Kakeya set problems in compact semisimple Lie groups. In the first, motivated by the group structure, a Kakeya set is required to contain a left coset of every closed…

math.CO2026

Computing Tools for Translation-Invariant Total Orders

Yifan Jing, Emma Yicheng Lou, Shaotian Sun +1

We introduce TITO_Explore, a software package for representing and computing with Translation-Invariant Total Orders (TITOs). We define a canonical window notation for TITOs and de…

math.NT2026

A structure theorem for sets with doubling $4 + δ$

Yifan Jing, Akshat Mudgal

We prove a structural result for sets of integers with doubling at most $4 + δ$ , with $δ > 0$ sufficiently small. This generalises earlier work of Eberhard--Green--Manners which deal…

math.LO2026

A note on quantitative stability in Hilbert spaces

Yifan Jing

We study stability theory in Hilbert spaces quantitatively. We prove that the inner product on the unit ball is $(k, ε)$ -stable for all $k \geq exp (π / ε)$ , and it is not $(k, ε)$ -stabl…

math.CO2026

Roth-type theorems in $K_{s, t}$ -free sets

Yifan Jing, Cosmin Pohoata, Max Wenqiang Xu

We show that for all integers $2 \leq s \leq t$ , any $K_{s, t}$ -free subset of $[N]$ with size $Ω (n^{1 - 1/ s})$ must contain a nontrivial solution to every fixed translation-invariant lin…