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math.CO2025
Probabilistic Entry Swapping Bijections for Non-Attacking Fillings
Guilherme Zeus Dantas e Moura, Olya Mandelshtam
Non-attacking fillings are combinatorial objects central to the theory of Macdonald polynomials. A probabilistic bijection for partition-shaped non-attacking fillings was introduce…
math.CO2022
Towards the Gaussianity of Random Zeckendorf Games
Justin Cheigh, Guilherme Zeus Dantas e Moura, Ryan Jeong +4
Zeckendorf proved that any positive integer has a unique decomposition as a sum of non-consecutive Fibonacci numbers, indexed by . Motiva…