22 citations · 22 across the 3 of their papers we have counts for
11 papers
Instabilities in quasiperiodic motion lead to intermittent large-intensity events in Zeeman laser
S. Leo Kingston, Arindam Mishra, Marek Balcerzak +2
We report intermittent large-intensity pulses that originate in Zeeman laser due to instabilities in quasiperiodic motion, one route follows torus-doubling to chaos and another goe…
Another characterization of meager ideals
Marek Balcerzak, Szymon Glab, Paolo Leonetti
We show that an ideal on the positive integers is meager if and only if there exists a bounded nonconvergent real sequence such that the set of subsequences [resp…
Convergent subseries of divergent series
Marek Balcerzak, Paolo Leonetti
Let be the set of positive real sequences such that the series is divergent. For each , let be the collectio…
The Baire Category of Subsequences and Permutations which preserve Limit Points
Marek Balcerzak, Paolo Leonetti
Let be a meager ideal on . We show that if is a sequence with values in a separable metric space then the set of subsequences [resp. permutations] of…
Families of feebly continuous functions and their properties
Marek Balcerzak, Tomasz Natkaniec, Małgorzata Terepeta
Let . The notions of feebly continuity and very feebly continuity of at a point were considered by I. Lead…
A Tauberian theorem for ideal statistical convergence
Marek Balcerzak, Paolo Leonetti
Given an ideal on the positive integers, a real sequence is said to be -statistically convergent to provided that $$ \textstyle \left\{n \…