2 citations · 2 across the 5 of their papers we have counts for
6 papers
Weighted ergodic averages along subpolynomials in Hardy fields and applications
Vitaly Bergelson, Sovanlal Mondal, Younghwan Son
We establish new pointwise convergence results for weighted ergodic averages along sequences of the form \( (\lfloor a(n) \rfloor)_{n \in \mathbb{N}}, \) where is a subpolyn…
Ergodic averages for commutative transformations along return times
Sebastián Donoso, Sovanlal Mondal, Vicente Saavedra-Araya
In this paper, we extend recent results on the convergence of ergodic averages along sequences generated by return times to shrinking targets in rapidly mixing systems, partially a…
Ergodic averages along sequences of slow growth
Kaitlyn Loyd, Sovanlal Mondal
We consider pointwise convergence of weighted ergodic averages along the sequence , where denotes the number of prime factors of counted with multiplicities. It wa…
Fluctuation of ergodic averages and other stochastic processes
Sovanlal Mondal, Joe Rosenblatt, Máté Wierdl
For an ergodic map and a non-constant, real-valued , the ergodic averages converge a.e., but the convergence…
Sublacunary sequences that are strong sweeping out
Sovanlal Mondal, Madhumita Roy, Máté Wierdl
An increasing sequence of positive integers which satisfies for some positive is called a lacunary sequence. It has been known for over twenty…
Grid method for divergence of averages
Sovanlal Mondal
In this paper, we will introduce the `grid method' to prove that the extreme case of oscillation occurs for the averages obtained by sampling a flow along the sequence of times of…