3 papers
math.NT2020
Factorization in monoids by stratification of atoms and the Elliott Problem
Pedro A. García-Sánchez, Ulrich Krause, David Llena
In an additive factorial monoid each element can be represented as a linear combination of irreducible elements (atoms) with uniquely determined coefficients running over all natur…
cond-mat.dis-nn2019
Nucleation of ergodicity by a single mobile impurity in supercooled insulators
Ulrich Krause, Théo Pellegrin, Piet W. Brouwer +2
We consider a disordered Hubbard model, and show that, at sufficiently weak disorder, a single spin-down mobile impurity can thermalize an extensive initially localized system of s…
math.AC2018
Inside factorial monoids and the cale monoid of a single Diophantine equation
Pedro A. García-Sánchez, Ulrich Krause, David Llena
We give a structure theorem for inside factorial domains. As an example we study the monoid of nonnegative integer solutions of equations of the form $a_1x_1+\cdots +a_{r-1}x_{r-1}…