22 citations · 104 across the 38 of their papers we have counts for
46 papers
Leiden Declaration on Artificial Intelligence and Mathematics
Jarod Alper, Michael Barany, Alain Chavarri Villarello +13
This declaration calls for action to address the challenges posed by the use of artificial intelligence within mathematics research. Technological developments have repeatedly tran…
Invariant random compacts
Bryna Kra, Scott Schmieding
For a compact metric space with a group acting on it continuously, an invariant random compact is a Borel probability measure on the space of nonempty compact subsets of $X…
A short proof of Erdős's conjecture
Bryna Kra, Joel Moreira, Florian K. Richter +1
We give a short proof of the fact that every set of natural numbers with positive upper Banach density contains the sum of two infinite sets. The approach simplifies earlier existi…
Stable covers of subshifts
Solly Coles, Van Cyr, Bryna Kra +1
Given a dynamical system, a characteristic measure is a Borel probability measure invariant under all of its automorphisms. Frisch and Tamuz asked if every symbolic system supports…
Ergodic averages and the large intersection property along IP sets
Bryna Kra, Or Shalom
We study multiple ergodic averages along IP sets, meaning we restrict iterates in the averages to all finite sums of some infinite sequence of natural numbers. We give criteria for…
The Density Finite Sums Theorem
Bryna Kra, Joel Moreira, Florian K. Richter +1
For any set of natural numbers with positive upper Banach density and any , we show the existence of an infinite set and a shift such th…