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math.NT2023
Ramanujan Bigraphs
Shai Evra, Brooke Feigon, Kathrin Maurischat +1
In their seminal paper, Lubotzky, Phillips and Sarnak (LPS) defined the notion of regular Ramanujan graphs and gave an explicit construction of infinite families of -regular…
cs.DM2023
Sequential Sweeps and High Dimensional Expansion
Vedat Levi Alev, Ori Parzanchevski
It is well known that the spectral gap of the down-up walk over an -partite simplicial complex (also known as Glauber dynamics) cannot be better than due to natural obs…