activity
20142024
most citedA good universal weight for nonconventional ergodic averages in norm

7 citations · 8 across the 6 of their papers we have counts for

collaborators

9 papers

math.DS2024

Measures of maximal entropy that are SRB

Fernando Micena, Ryo Moore, Jana Rodriguez Hertz +1

A smooth conservative DA-diffeomorphism is smoothly conjugated to its Anosov linear part if and only if all Lyapunov exponents coincide almost everywhere with those of its linear p…

math.DS2024

Higher Order Wiener-Wintner systems: examples and applications

Idris Assani, Jacob Folks, Ryo Moore

We will construct ``higher-dimensional" versions of the Wiener-Wintner dynamical system that was originally studied by I. Assani in 2003. We will show that on these systems we can…

math.DS2019

Generic Birkhoff Spectra

Zoltán Buczolich, Balázs Maga, Ryo Moore

Suppose that and is the one-sided shift. The Birkhoff spectrum $ \displaystyle S_{f}( α)=\dim_{H}\Big \{ ω\in Ω:\lim_{N \to \infty} \frac{1}{N} \s…

math.DS2018

-transitivity for several transformations and an application to the coboundary problem

Italo Cipriano, Ryo Moore

Given a compact and complete metric space with several continuous transformations we find sufficient conditions for the existence of a point $x…

math.DS2015

A good universal weight for multiple recurrence averages with commuting transformations in norm

Idris Assani, Ryo Moore

We will show that the sequences appearing in Bourgain's double recurrence result are good universal weights to the multiple recurrence averages with commuting measure-preserving tr…

math.DS2015★ 7 cited

A good universal weight for nonconventional ergodic averages in norm

Idris Assani, Ryo Moore

We will show that the sequence appearing in the double recurrence theorem is a good universal weight for the Furstenberg averages. That is, given a system …

math.DS2014

Extension of Wiener-Wintner double recurrence theorem to polynomials

Idris Assani, Ryo Moore

We extend our result on the convergence of double recurrence Wiener-Wintner averages to the case where we have a polynomial exponent. We will show that there exists a single set of…

math.DS2014

Extension of Wiener-Wintner double recurrence theorem to polynomials

Idris Assani, Ryo Moore

We extend the authors' previous work on Wiener-Wintner double recurrence theorem to the case of polynomials.

math.DS2014★ 1 cited

Pointwise characteristic factors for Wiener Wintner double recurrence theorem

Idris Assani, David Duncan, Ryo Moore

In this paper, we extend Bourgain's double recurrence result to the Wiener-Wintner averages. Let be a standard ergodic system. We will show that for any $f…