From the 1 of 5 linked papers with an AI index.
5 papers
When ideals properly extend the class of Arbault sets
Pratulananda Das, Ayan Ghosh
The paper studies how replacing the Fréchet ideal Fin with other ideals, especially non‑snt ideals, expands the class of Arbault (trigonometric thin) sets, showing these new I‑Arba…
Statistically characterized subgroups related to arithmetic-type sequence of integers
Pratulananda Das, Ayan Ghosh, Tamim Aziz
Very recently, in [Das et al., J. Lond. Math. Soc., 2025], statistically characterized subgroups were studied for certain classes of non-arithmetic sequences. Subsequently, in [Das…
Ergodic Theorems for Random Walks in Random Environments
Ayan Ghosh
We study the Ergodic Properties of Random Walks in stationary ergodic environments without uniform ellipticity under a minimal assumption. There are two main components in our work…
Characterizing infinite torsion subgroups of the circle through arithmetic-type sequences
Ayan Ghosh, Pratulananda Das
In a recent work [Das et al., Bull. Sci. Math. 199 (2025), 103580], the structure of characterized subgroups corresponding to arithmetic-type sequences was investigated. Building u…
Statistically characterized subgroups related to some non-arithmetic sequence of integers II (a quest for countable subgroups)
Pratulananda Das, Ayan Ghosh, Tamim Aziz
Following the work of [Dikranjan et al., Fund. Math. 249:185-209, 2020] for arithmetic sequences, very recently in [Das et al., Expo. Math. 43(3):125653, 2025], statistically chara…