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

36 papers

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…

math.CO2024

A group-action Szemerédi-Trotter theorem and applications to orchard problems in all characteristics

Yifan Jing, Tingxiang Zou

We establish a group-action version of the Szemerédi-Trotter theorem over any field, extending Bourgain's result for the group $SL_{2} (k)$ . As an Elekes-Szabó-type applicati…

math.CO2024

Brunn-Minkowski type estimates for certain discrete sumsets

Albert Lopez Bruch, Yifan Jing, Akshat Mudgal

Let $d, k$ be natural numbers and let $L_{1}, \dots, L_{k} \in GL_{d} (Q)$ be linear transformations such that there are no non-trivial subspaces $U,…

math.CO2023

Kemperman's inequality and Freiman's lemma via few translates

Yifan Jing, Akshat Mudgal

Let $G$ be a connected compact group equipped with the normalised Haar measure $μ$ . Our first result shows that given $α, β > 0$ , there is a constant $c = c (α, β) > 0$ such that for any…

math.GR2023

Measure doubling of small sets in $SO (3, R)$

Yifan Jing, Chieu-Minh Tran, Ruixiang Zhang

Let $SO (3, R)$ be the 3D-rotation group equipped with the real-manifold topology and the normalized Haar measure $μ$ . Resolving a problem by Breuillard and Green,…

math.GR2023★ 1 cited

Measure growth in compact semisimple Lie groups and the Kemperman Inverse Problem

Yifan Jing, Chieu-Minh Tran

Suppose $G$ is a compact semisimple Lie group, $μ$ is the normalized Haar measure on $G$ , and $A, A^{2} \subseteq G$ are measurable. We show that $$μ(A^2)\geq \min\{1, 2μ(A)+ημ(A)(1-…

math.NT2022

Finding large additive and multiplicative Sidon sets in sets of integers

Yifan Jing, Akshat Mudgal

Given $h, g \in N$ , we write a set $X \subset Z$ to be a $B_{h}^{+} [g]$ set if for any $n \in Z$ , the number of solutions to the additive equation $n = x_…

math.GR2021★ 3 cited

On the small measure expansion phenomenon in connected noncompact nonabelian groups

Jinpeng An, Yifan Jing, Chieu-Minh Tran +1

Suppose $G$ is a connected noncompact locally compact group, $A, B$ are nonempty and compact subsets of $G$ , $μ$ is a left Haar measure on $G$ . Assuming that $G$ is unimodular, and…

math.GR2021

A Cauchy-Davenport theorem for locally compact groups

Yifan Jing, Chieu-Minh Tran

We generalize the Cauchy-Davenport theorem to locally compact groups.

math.CA2021★ 2 cited

New bounds for Stein's square function in $R^{3}$

Shengwen Gan, Yifan Jing, Shukun Wu

We prove new $L^{p} (R^{3})$ bounds on Stein's square function for $p \geq 3.25$ . As an application, it improves the maximal Bochner-Riesz conjecture to the same range of $p$ .

math.GR2021★ 4 cited

A nonabelian Brunn-Minkowski inequality

Yifan Jing, Chieu-Minh Tran, Ruixiang Zhang

Henstock and Macbeath asked in 1953 whether the Brunn-Minkowski inequality can be generalized to nonabelian locally compact groups; questions along the same line were also asked by…

math.CO2020

A note on the largest sum-free sets of integers

Yifan Jing, Shukun Wu

Given $A$ a set of $N$ positive integers, an old question in additive combinatorics asks that whether $A$ contains a sum-free subset of size at least $N /3 + ω (N)$ for some increasing…

math.CO2020★ 3 cited

Efficient polynomial-time approximation scheme for the genus of dense graphs

Yifan Jing, Bojan Mohar

The main results of this paper provide an Efficient Polynomial-Time Approximation Scheme (EPTAS) for approximating the genus (and non-orientable genus) of dense graphs. By dense we…

math.CO2020

Defective DP-colorings of sparse simple graphs

Yifan Jing, Alexandr Kostochka, Fuhong Ma +1

DP-coloring (also known as correspondence coloring) is a generalization of list coloring developed recently by Dvořák and Postle. We introduce and study $(i, j)$ -defective DP-colori…

math.CO2020★ 6 cited

Minimal and nearly minimal measure expansions in connected unimodular groups

Yifan Jing, Chieu-Minh Tran

Let $G$ be a connected unimodular group equipped with a (left and hence right) Haar measure $μ_{G}$ , and suppose $A, B \subseteq G$ are nonempty and compact. An inequality by Kemperm…

math.CO2020★ 3 cited

Integer colorings with forbidden rainbow sums

Yangyang Cheng, Yifan Jing, Lina Li +2

For a set of positive integers $A \subseteq [n]$ , an $r$ -coloring of $A$ is rainbow sum-free if it contains no rainbow Schur triple. In this paper we initiate the study of the rain…

math.CO2020

Color isomorphic even cycles and a related Ramsey problem

Zixiang Xu, Tao Zhang, Yifan Jing +1

In this paper, we first study a new extremal problem recently posed by Conlon and Tyomkyn~(arXiv: 2002.00921). Given a graph $H$ and an integer $k ⩾ 2$ , let $f_{k} (n, H)$ be…

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

Near diagonal additive energy bound for points on algebraic surfaces

A nonabelian Brunn-Minkowski inequality II

Kakeya sets and dimension compression in compact Lie groups

Computing Tools for Translation-Invariant Total Orders

A structure theorem for sets with doubling 4+δ

A note on quantitative stability in Hilbert spaces

Roth-type theorems in Ks,t​-free sets

A group-action Szemerédi-Trotter theorem and applications to orchard problems in all characteristics

Brunn-Minkowski type estimates for certain discrete sumsets

Kemperman's inequality and Freiman's lemma via few translates

Measure doubling of small sets in SO(3,R)

Measure growth in compact semisimple Lie groups and the Kemperman Inverse Problem

Finding large additive and multiplicative Sidon sets in sets of integers

On the small measure expansion phenomenon in connected noncompact nonabelian groups

A Cauchy-Davenport theorem for locally compact groups

New bounds for Stein's square function in R3

A nonabelian Brunn-Minkowski inequality

A note on the largest sum-free sets of integers

Efficient polynomial-time approximation scheme for the genus of dense graphs

Defective DP-colorings of sparse simple graphs

Minimal and nearly minimal measure expansions in connected unimodular groups

Integer colorings with forbidden rainbow sums

Color isomorphic even cycles and a related Ramsey problem

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

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

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

Measure doubling of small sets in $SO (3, R)$

New bounds for Stein's square function in $R^{3}$