3 papers
math.DS2025
An elementary derivation of 3-cycles for a quadratic map
Arpad Benyi, Ioan Casu
We present an elementary derivation of the period-three cycles for the real quadratic map , a fundamental model in one-dimensional discrete dynamics. Using symmetri…
math.HO2025
Floor, ceiling and the space between
Ãrpád Bényi, Branko Äurgus
Motivated by questions on the ranges of commutators of dilated floor functions and one posed in Problem 27327 from Gazeta MatematicÄ, we investigate the precise ranges of certain…
math.CA2025
Symbolic calculus for a class of pseudodifferential operators with applications to compactness
Ãrpád Bényi, Tadahiro Oh, Rodolfo H. Torres
We prove a symbolic calculus for a class of pseudodifferential operators, and discuss its applications to -compactness via a compact version of the theorem.