M. Wierdl

activity

20042026

most citedPowers of sequences and recurrence

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

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11 papers · 1 filter

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.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…

math.DS2016

Under recurrence in the Khintchine recurrence theorem

Michael Boshernitzan, Nikos Frantzikinakis, Máté Wierdl

The Khintchine recurrence theorem asserts that on a measure preserving system, for every set $A$ and $ε > 0$ , we have $μ (A \cap T^{- n} A) \geq μ (A)^{2} - ε$ for infinite…

math.DS2010

Random Sequences and Pointwise Convergence of Multiple Ergodic Averages

Nikos Frantzikinakis, Emmanuel Lesigne, Mate Wierdl

We prove pointwise convergence, as $N \to \infty$ , for the multiple ergodic averages $\frac{1}{N} \sum_{n = 1}^{N} f (T^{n} x) \cdot g (S^{a_{n}} x)$ , where $T$ and $S$ are commuting measure pres…

math.DS2009

Almost-Everywhere Convergence and Polynomials

Michael Boshernitzan, Mate Wierdl

Denote by $Γ$ the set of pointwise good sequences. Those are sequences of real numbers $(a_{k})$ such that for any measure preserving flow $(U_{t})_{t \in R}$ on a probability s…