2 citations · 2 across the 8 of their papers we have counts for
4 papers · 1 filter
Monochromatic Almost-Pythagorean Quadruples
James Leng, Redmond McNamara, Andreas Mountakis
We prove that for any set with positive multiplicative upper density, there exist , , and in such that , generalizing a result of Frantzik…
Nonsingular transformations that are ergodic with isometric coefficients and not weakly doubly ergodic
Beatrix Haddock, James Leng, Cesar E. Silva
We study two properties of nonsingular and infinite measure-preserving ergodic systems: weak double ergodicity, and ergodicity with isometric coefficients. We show that there exist…
On finite spacer rank for words and subshifts
Su Gao, Liza Jacoby, William Johnson +4
We define a notion of rank for words and subshifts that we call spacer rank, extending the notion of rank-one symbolic shifts of Gao and Hill. We construct infinite words of each f…
Non-Rigid Rank-One Infinite Measures on the Circle
Hindy Drillick, Alonso Espinosa-Dominguez, Jennifer N. Jones-Baro +3
For a class of irrational numbers, depending on their Diophantine properties, we construct explicit rank-one transformations that are totally ergodic and not weakly mixing. We clas…