3 papers
math.DS2026
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…
math.DS2025
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…
math.DS2024
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…