Guangzeng Yi

activity

20142026

most citedStationary patterns and their selection mechanism of Urban crime models with heterogeneous near-repeat victimization effect

37 citations · 37 across the 6 of their papers we have counts for

collaborators

6 papers

math.CA2026

Two-ends Furstenberg inequality for transversal families and applications to Fourier decay

William O'Regan, Shukun Wu, Guangzeng Yi

We generalise the recent two-ends Furstenberg inequality due to Wang and the second author from lines to a family of transversal curves, and give a much simplified proof. As an app…

math.CA2025

Furstenberg set theorem for transversal families of functions

Tuomas Orponen, Aleksi Pyörälä, Guangzeng Yi

We prove an extension of the Furstenberg set theorem to families of graphs satisfying a transversality condition. We apply the result to derive bounds on $L^{p}$ -norms of Fourier t…

math.CA2024

On bounded energy of convolution of fractal measures

Guangzeng Yi

For all $s \in [0, 1]$ and $t \in (0, s] \cup [2 - s, 2)$ , we find the supremum of numbers $ω \in (0, 2)$ such that $I_{ω} (μ * σ) ≲ 1$ , where $μ$ is any Borel measure on $B (1)$ wit…

math.AP2024

Blow up analysis for a parabolic MEMS problem, I: Hölder estimate

Kelei Wang, Guangzeng Yi

This is the first in a series of papers devoted to the blow up analysis for the quenching phenomena in a parabolic MEMS equation. In this paper, we first give an optimal Hölder est…

math.CO2024

Large cliques in extremal incidence configurations

Tuomas Orponen, Guangzeng Yi

Let $P \subset R^{2}$ be a Katz-Tao $(δ, s)$ -set, and let $L$ be a Katz-Tao $(δ, t)$ -set of lines in $R^{2}$ . A recent result of Fu and Ren gives a sharp…

math.AP2014★ 37 cited

Stationary patterns and their selection mechanism of Urban crime models with heterogeneous near-repeat victimization effect

Yu Gu, Qi Wang, Guangzeng Yi

In this paper, we study two PDEs that generalize the urban crime model proposed by Short \emph{et al}. [Math. Models Methods Appl. Sci., 18 (2008), pp. 1249-1267]. Our modification…