3 papers
math-ph2025
Non-constant ground configurations in the disordered ferromagnet
Michal Bassan, Shoni Gilboa, Ron Peled
The disordered ferromagnet is a disordered version of the ferromagnetic Ising model in which the coupling constants are non-negative quenched random. A ground configuration is an i…
math.CO2025
Tournament score sequences, ErdÅs-Ginzburg-Ziv numbers, and the Lévy-Khintchine method
Michal Bassan, Serte Donderwinkel, Brett Kolesnik
We give a short proof of a recent result of Claesson, Dukes, FranklÃn and Stefánsson, connecting the number of score sequences and the ErdÅs-Ginzburg-Ziv numbers fro…
math.CO2025
Graphical sequences and plane trees
Michal Bassan, Serte Donderwinkel, Brett Kolesnik
Balister, the second author, Groenland, Johnston and Scott recently showed that there are asymptotically many unordered sequences that occur as degree sequences of g…