M. Wierdl

activity

20042026

most citedPowers of sequences and recurrence

7 citations · 12 across the 12 of their papers we have counts for

collaborators

16 papers

math.NT2026

Pointwise ergodic theorems along sequences of intermediate growth

Leonidas Daskalakis, Mariusz Mirek, Máté Wierdl

We establish the first pointwise convergence result for ergodic averages with iterates along explicit and deterministic sequences of intermediate growth, that is, growing faster th…

math.DS2024

Fluctuation of ergodic averages and other stochastic processes

Sovanlal Mondal, Joe Rosenblatt, Máté Wierdl

For an ergodic map $T$ and a non-constant, real-valued $f \in L^{1}$ , the ergodic averages $A_{N} f (x) = \frac{1}{N} \sum_{n = 1}^{N} f (T^{n} x)$ converge a.e., but the convergence…

math.DS2022★ 2 cited

Sublacunary sequences that are strong sweeping out

Sovanlal Mondal, Madhumita Roy, Máté Wierdl

An increasing sequence $(a_{n})$ of positive integers which satisfies $\frac{a _{n + 1}}{a _{n}} > 1 + η$ for some positive $η$ is called a lacunary sequence. It has been known for over twenty…

math.CA2022

Generation of measures on the torus with good sequences of integers

E. Lesigne, A. Quas, J. Rosenblatt +1

Let $S = (s_{1} < s_{2} < \dots)$ be a strictly increasing sequence of positive integers and denote $e (β) = e^{2 π i β}$ . We say $S$ is good if for every real $α$ the limit $\…

math.CA2016

On Convergence of Oscillatory Ergodic Hilbert Transforms

Ben Krause, Michael Lacey, Máté Wierdl

We introduce sufficient conditions on discrete singular integral operators for their maximal truncations to satisfy a sparse bound. The latter imply a range of quantitative weighte…

math.DS2016

Slowly decaying averages and fat towers

James T. Campbell, Máté Wierdl

Let $(X, Σ, m, τ)$ be an ergodic system, that is, $(X, Σ, m)$ is a probability space and $τ : X \to X$ is an invertible ergodic $m$ -preserving transformation. For a function $f:X\to\ma…