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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 ErdÅs--Rényi process, due to the dependence between edges added at different…
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 and two continuous weight distributions and , for which we only assume that is lower bounded. Next, independently draw weights…