Yifan Jing

works on

graph algorithms 1 software tools 1 total order algorithms 1 translation-invariant total orders 1 weak order comparison 1

From the 1 of 5 linked papers with an AI index.

collaborators

5 papers

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

The paper presents TITO_Explore, a software library for representing translation‑invariant total orders (TITOs) and performing algorithmic operations such as canonical normalizatio…

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 $(k, I^µ)$ -stable for all $k \geq exp (I ¨ / I^µ)$ , and it is not $(k, I^µ)$ -s…

math.NT2026

A structure theorem for sets with doubling $4 + I^´$

Yifan Jing, Akshat Mudgal

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

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 $I^c ◯ (n^{1 - 1/ s})$ must contain a nontrivial solution to every fixed translation-invariant li…

Kakeya sets and dimension compression in compact Lie groups

Computing Tools for Translation-Invariant Total Orders

A note on quantitative stability in Hilbert spaces

A structure theorem for sets with doubling 4+I^´

Roth-type theorems in Ks,t​-free sets

A structure theorem for sets with doubling $4 + I^´$

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