36 citations · 196 across the 30 of their papers we have counts for
Showing 2024 · math.PRShow all
2 papers · 2 filters
math.PR2024
Concentration of information on discrete groups
Jonathan Hermon, Xiangying Huang, Francesco Pedrotti +1
Motivated by the Asymptotic Equipartition Property and its recently discovered role in the cutoff phenomenon, we initiate the systematic study of varentropy on discrete groups. Our…
math.PR2024
Cutoff for random Cayley graphs of nilpotent groups
Jonathan Hermon, Xiangying Huang
We consider the random Cayley graphs of a sequence of finite nilpotent groups of diverging sizes , whose ranks and nilpotency classes are uniformly bounded. For some $k=k(n…