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Showing 2017Show all
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math.AP2017★ 40 cited
Nanopteron solutions of diatomic Fermi-Pasta-Ulam-Tsingou lattices with small mass-ratio
Aaron Hoffman, J. Douglas Wright
Consider an infinite chain of masses, each connected to its nearest neighbors by a (nonlinear) spring. This is a Fermi-Pasta-Ulam-Tsingou lattice. We prove the existence of traveli…
math.CO2017★ 3 cited
Achieving rental harmony with a secretive roommate
Florian Frick, Kelsey Houston-Edwards, Frédéric Meunier
Given the subjective preferences of n roommates in an n-bedroom apartment, one can use Sperner's lemma to find a division of the rent such that each roommate is content with a dist…