Y. Zhang

activity

20192021

most citedOn (non-)monotonicity and phase diagram of finitary random interlacement

5 citations · 7 across the 6 of their papers we have counts for

collaborators

7 papers

math.PR2021★ 1 cited

Some Rigorous Results on the Phase Transition of Finitary Random Interlacement

Zhenhao Cai, Yuan Zhang

In this paper, we show several rigorous results on the phase transition of Finitary Random Interlacement (FRI). For the high intensity regime, we show the existence of a critical f…

math.AP2020

A remark on optimal data spaces for classical solutions of $\partial ˉ$

Martino Fassina, Yifei Pan, Yuan Zhang

We study the minimal regularity required on the datum to guarantee the existence of classical $C^{1}$ solutions to the inhomogeneous Cauchy-Riemann equations on planar domains.

math.PR2020★ 5 cited

On (non-)monotonicity and phase diagram of finitary random interlacement

Zhenhao Cai, Yunfeng Xiong, Yuan Zhang

In this paper, we study the evolution of a Finitary Random Interlacement (FRI) with respect to the expected length of each fiber. In contrast to the previously proved phase transit…

math.MG2020

Lipschitz classification of Bedford-McMullen carpets with uniform horizontal fibers

Ya-min Yang, Yuan Zhang

Let $M_{t, v, r} (n, m)$ , $2 \leq m < n$ , be the collection of self-affine carpets with expanding matrix $\diag(n,m)$ which are totally disconnected, possessing vacant rows and wit…

math.DS2020

Tilings of convex polyhedral cones and topological properties of self-affine tiles

Ya-min Yang, Yuan Zhang

Let $a_{1}, \dots, a_{r}$ be vectors in a half-space of $R^{n}$ . We call $C = a_{1} R^{+} + \dots + a_{r} R^{+}$ a convex polyhedral con…

math.DS2020★ 1 cited

Characterization of complementing pairs of $(Z_{\geq 0})^{n}$

Hui Rao, Ya-min Yang, Yuan Zhang

Let $A, B, C$ be subsets of an abelian group $G$ . A pair $(A, B)$ is called a $C$ -pair if $A, B \subset C$ and $C$ is the direct sum of $A$ and $B$ . The $(Z_{\geq 0})$ -pairs are ch…