Leonidas Daskalakis

activity

20242026

collaborators

5 papers

math.DS2026

Fractionally modulated discrete Carleson's Theorem and pointwise Ergodic Theorems along certain curves

Leonidas Daskalakis, Anastasios Fragkos

For $c \in (1, 2)$ we consider the following operators \[ \mathcal{C}_{c}f(x) = \sup_{Î»\in [-1/2,1/2)}\bigg| \sum_{n \neq 0}f(x-n) \frac{e^{2ÏiÎ»\lfloor |n|^{c} \rfloor}}{n}\bigg|\t…

math.DS2025

Pointwise convergence of ergodic averages along quadratic bracket polynomials

Leonidas Daskalakis

We establish a pointwise convergence result for ergodic averages modeled along orbits of the form $(n ⌊ n k ⌋)_{n \in N}$ , where $k$ is an arbitrary positive…

math.DS2025

Ergodic theorems for bilinear averages, Roth's Theorem and Corners along fractional powers

Leonidas Daskalakis

We prove that for every $c \in (1, 23/22)$ , every probability space $(X, B, I^¼)$ equipped with two commuting measure-preserving transformations $T, S : X \to X$ and every $f…

math.DS2025

Pointwise ergodic theorems for non-conventional bilinear averages along $(⌊ n^{c} ⌋, - ⌊ n^{c} ⌋)$

Leonidas Daskalakis

For every $c \in (1, 23/22)$ and every probability dynamical system $(X, B, I^¼, T)$ we prove that for any $f, g \in L_{I^}^{\infty} ¼ (X)$ the bilinear ergodic averages \[ \frac{1}{N}…

math.DS2024

Pointwise ergodic theorems along fractional powers of primes

Erik Bahnson, Leonidas Daskalakis, Abbas Dohadwala +1

We establish pointwise convergence for nonconventional ergodic averages taken along $⌊ p^{c} ⌋$ , where $p$ is a prime number and $c \in (1, 4/3)$ on $L^{r}$ , $r \in (1, \infty)$ .…

Fractionally modulated discrete Carleson's Theorem and pointwise Ergodic Theorems along certain curves

Pointwise convergence of ergodic averages along quadratic bracket polynomials

Ergodic theorems for bilinear averages, Roth's Theorem and Corners along fractional powers

Pointwise ergodic theorems for non-conventional bilinear averages along (⌊nc⌋,−⌊nc⌋)

Pointwise ergodic theorems along fractional powers of primes

Pointwise ergodic theorems for non-conventional bilinear averages along $(⌊ n^{c} ⌋, - ⌊ n^{c} ⌋)$