Mihyun Kang

activity

20162026

most citedResolution of a conjecture on majority dynamics: rapid stabilisation in dense random graphs

2 citations · 2 across the 19 of their papers we have counts for

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4 papers · 1 filter

math.PR2026

Counting subgraphs in bounded-size Achlioptas processes

Mihyun Kang, Oliver Riordan

Achlioptas processes such as the Bohman--Frieze process are much harder to analyse than the classical Erdős--Rényi process, due to the dependence between edges added at different s…

math.PR2026

Uniqueness and locality of the ground state of the disordered Monomer-Dimer models on independently weighted Unimodular Bienaymé-Galton-Watson trees

Mihyun Kang, Mike Liu

Consider a finite graph $G = (V (G), E (G))$ and two continuous weight distributions $ω$ and $ξ$ , for which we only assume that $ξ$ is lower bounded. Next, independently draw weights $(…

math.PR2024

Bootstrap Percolation on the Binomial Random $k$ -uniform Hypergraph

Mihyun Kang, Christoph Koch, Tamás Makai

We investigate the behaviour of $r$ -neighbourhood bootstrap percolation on the binomial $k$ -uniform random hypergraph $H_{k} (n, p)$ for given integers $k \geq 2$ and $r \geq 2$ . In $r$ -…

math.PR2016

A phase transition regarding the evolution of bootstrap processes in inhomogeneous random graphs

Nikolaos Fountoulakis, Mihyun Kang, Christoph Koch +1

A bootstrap percolation process on a graph with infection threshold $r \geq 1$ is a dissemination process that evolves in time steps. The process begins with a subset of infected ver…

Counting subgraphs in bounded-size Achlioptas processes

Uniqueness and locality of the ground state of the disordered Monomer-Dimer models on independently weighted Unimodular Bienaymé-Galton-Watson trees

Bootstrap Percolation on the Binomial Random k-uniform Hypergraph

A phase transition regarding the evolution of bootstrap processes in inhomogeneous random graphs

Bootstrap Percolation on the Binomial Random $k$ -uniform Hypergraph