3 papers
math.DS2026
Translational tilings by axis-parallel polygonal sets
Jaume de Dios Pont, Jan Grebík, Rachel Greenfeld +1
The periodic tiling conjecture asserts that if a bounded set of finite measure tiles by translations, then it admits at least one fully periodi…
math.CO2024
Periodicity and decidability of translational tilings by rational polygonal sets
Jaume de Dios Pont, Jan Grebík, Rachel Greenfeld +1
The periodic tiling conjecture asserts that if a region tiles by translations then it admits at least one fully periodic tiling. This conjectur…
math.PR2023
Large deviation principles for graphon sampling
Jan Grebík, Oleg Pikhurko
We investigate possible large deviation principles (LDPs) for the -vertex sampling from a given graphon with various speeds and resolve all the cases except when the spee…