Leonidas Daskalakis

activity

20232025

collaborators

3 papers

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 $(X, B, μ)$ equipped with two commuting measure-preserving transformations $T, S : X \to X$ and every $f,…

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 $L^{r}$ , $r \in (1, \infty)$ .…

math.CA2023

Weak-type (1,1) inequality for discrete maximal functions and pointwise ergodic theorems along thin arithmetic sets

Leonidas Daskalakis

We establish weak-type $(1, 1)$ bounds for the maximal function associated with ergodic averaging operators modeled on a wide class of thin deterministic sets $B$ . As a corollary we…