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math.PR2026
Convergence of Kikuchi matrices to -independent and -Gaussian limits
Afonso S. Bandeira, Dmitriy Kunisky, Petar Nizić-Nikolac +2
Kikuchi matrices are a family of structured matrices that were introduced to study problems involving tensors and hypergraphs. We show that, as the ambient dimension grows, dense r…
math.PR2026
Matrix Concentration and Equivalent Operators on Fock Spaces
Afonso S. Bandeira, Dmitriy Kunisky, Petar Nizić-Nikolac +2
We develop a method for proving matrix concentration inequalities by identifying random matrices with associated deterministic operators acting on suitable Fock spaces and controll…
math.CO2026
The Hypergraph Moore Bound
Afonso S. Bandeira, Dmitriy Kunisky, Petar Nizić-Nikolac +2
The hypergraph Moore bound conjectured by Feige (2008) controls the size of the smallest even cover in a -uniform hypergraph in terms of the average density of hyperedges. An ev…