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math.CO2022
Eigenstripping, Spectral Decay, and Edge-Expansion on Posets
Jason Gaitonde, Max Hopkins, Tali Kaufman +2
We study the relationship between the underlying structure of posets and the spectral and combinatorial properties of their higher-order random walks. While fast mixing of random w…
math.CO2017★ 2 cited
Doppelgangers: the Ur-Operation and Posets of Bounded Height
Thomas Browning, Max Hopkins, Zander Kelley
In the early 1970's, Richard Stanley and Kenneth Johnson introduced and laid the groundwork for studying the order polynomial of partially ordered sets (posets). Decades later, Ham…