Sublacunary sequences that are strong sweeping out
From MaRDI portal
Publication:6120504
arXiv2210.15894MaRDI QIDQ6120504
Máté Wierdl, Sovanlal Mondal, Madhumita Roy
Publication date: 21 February 2024
Published in: The New York Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.15894
Dynamical aspects of measure-preserving transformations (37A05) Ergodic theorems, spectral theory, Markov operators (37A30) Relations between ergodic theory and number theory (37A44)
Cites Work
- Unnamed Item
- Unnamed Item
- Universally \(L^1\)-bad arithmetic sequences
- Weak type \((1,1)\) inequalities for discrete rough maximal functions
- Pointwise ergodic theorem along the prime numbers
- Pointwise ergodic theorems for arithmetic sets. With an appendix on return-time sequences, jointly with Harry Furstenberg, Yitzhak Katznelson and Donald S. Ornstein
- Universally \(L^1\) good sequences with gaps tending to infinity
- An \(L^1\) ergodic theorem for sparse random subsequences
- Divergent square averages
- On the maximal ergodic theorem for certain subsets of the integers
- Perturbation of a sequence
- Weak type \((1,1)\) estimates for a class of discrete rough maximal functions
- Ergodic averaging sequences
- Two Erdős problems on lacunary sequences: Chromatic number and Diophantine approximation
- Integer sequences with big gaps and the pointwise ergodic theorem
- Discrepancy of Behavior of Perturbed Sequences in L p Spaces
- Convergence and divergence of ergodic averages
- On the convergence of ∑𝑐_{𝑛}𝑓(𝑛𝑥) and the Lip 1/2 class
- The strong sweeping out property for lacunary sequences, Riemann sums, convolution powers, and related matters
- Weak type $(1, 1)$ estimates for maximal functions along $1$-regular sequences of integers
- ERGODIC THEORY AND TRANSLATION-INVARIANT OPERATORS
- On the Individual Ergodic Theorem for Subsequences
- A dynamical approach to the asymptotic behavior of the sequence
- Grid method for divergence of averages
This page was built for publication: Sublacunary sequences that are strong sweeping out
