Cover Image

Decomposition results for multiplicative actions and applications

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Frantzikinakis, Nikos
Format:	Preprint
Published:	2025
Subjects:	Dynamical Systems Combinatorics Number Theory Primary: 37A44, Secondary:05D10, 11B30, 11N37, 37A15
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Partition regularity of homogeneous quadratics: Current trends and challenges
by: Frantzikinakis, Nikos
Published: (2024)

Recurrence for pretentious systems along generalized Pythagorean triples
by: Frantzikinakis, Nikos, et al.
Published: (2025)

Partition regularity of Pythagorean pairs
by: Frantzikinakis, Nikos, et al.
Published: (2023)

Partition regularity of generalized Pythagorean pairs
by: Frantzikinakis, Nikos, et al.
Published: (2024)

Partition regularity in imaginary quadratic rings of integers
by: Donoso, Sebastián, et al.
Published: (2026)

Joint ergodicity for commuting transformations and applications to polynomial sequences
by: Frantzikinakis, Nikos, et al.
Published: (2022)

Ergodic averages for sparse corners
by: Frantzikinakis, Nikos, et al.
Published: (2025)

Sets of large values of polynomial multi-correlation functions
by: Bergelson, Vitaly, et al.
Published: (2026)

Mean value theorems in multiplicative systems and joint ergodicity of additive and multiplicative actions
by: Charamaras, Dimitrios
Published: (2024)

Furstenberg systems of pretentious and MRT multiplicative functions
by: Frantzikinakis, Nikos, et al.
Published: (2023)

On the homogeneous ergodic bilinear averages with $1$-bounded multiplicative weights
by: Abdalaoui, el Houcein el
Published: (2020)

Bohr recurrence and density of non-lacunary semigroups of $\mathbb{N}$
by: Frantzikinakis, Nikos, et al.
Published: (2024)

Infinite sumsets in $U^k(Φ)$-uniform sets
by: Radić, Tristán
Published: (2026)

Convergence of Time-Average along Uniformly Behaved in ${\mathbb N}$ Sequences on Every Point
by: Jiang, Yunping, et al.
Published: (2023)

On multiplicative recurrence along linear patterns
by: Charamaras, Dimitrios, et al.
Published: (2024)

Multiple recurrence and popular differences for polynomial patterns in rings of integers
by: Ackelsberg, Ethan, et al.
Published: (2021)

Seminorm estimates and joint ergodicity for pairwise independent Hardy sequences
by: Donoso, Sebastián, et al.
Published: (2024)

Polynomial actions of rings of integers of global fields and quasirandomness of Paley-type graphs
by: Ackelsberg, Ethan, et al.
Published: (2025)

Sums and products in sets of positive density
by: Richter, Florian K.
Published: (2025)

Quantitative bounds for Gowers uniformity of the Möbius and von Mangoldt functions
by: Tao, Terence, et al.
Published: (2021)

A short proof of Erdős's $B+C$ conjecture
by: Kra, Bryna, et al.
Published: (2026)

Are prime numbers and quadratic residues random?
by: Blank, Michael
Published: (2024)

A Host--Kra ${\mathbf F}_2^ω$-system of order $5$ that is not Abramov of order $5$, and non-measurability of the inverse theorem for the $U^6({\mathbf F}_2^n)$ norm
by: Jamneshan, Asgar, et al.
Published: (2023)

Infinite unrestricted sumsets in subsets of abelian groups with large density
by: Charamaras, Dimitrios, et al.
Published: (2025)

Finding product sets in some classes of amenable groups
by: Charamaras, Dimitrios, et al.
Published: (2024)

Pointwise Ergodic Averages Along the Omega Function in Number Fields
by: Céspedes, Diego, et al.
Published: (2026)

An inverse theorem for sumsets of sets of positive density in the integers
by: Ackelsberg, Ethan, et al.
Published: (2026)

Seminorm control for ergodic averages with commuting transformations and pairwise dependent polynomial iterates
by: Frantzikinakis, Nikos, et al.
Published: (2022)

Inducing contractions of the mother of all continued fractions
by: Dajani, Karma, et al.
Published: (2025)

The Divisor Function along a Deterministic Orbit and the Emergence of Ladders
by: Mantovanelli, Marco
Published: (2026)

On some classification problems of multiplicative functions
by: Kasjan, S., et al.
Published: (2025)

Iterated differences sets, diophantine approximations and applications
by: Bergelson, Vitaly, et al.
Published: (2020)

Khintchine-type double recurrence in abelian groups
by: Ackelsberg, Ethan
Published: (2023)

Counterexamples to integer-coefficient criteria for recurrence along functions from a Hardy field
by: Ouyang, Kangbo, et al.
Published: (2026)

Resolving the joint ergodicity problem for Hardy sequences
by: Donoso, Sebastián, et al.
Published: (2025)

Dynamics of $\mathscr{B}$-free systems generated by Behrend sets. I
by: Kasjan, Stanisław, et al.
Published: (2022)

Multiplicative recurrence of Möbius transformations
by: Leung, Sun-Kai, et al.
Published: (2024)

Multiple ergodic averages along functions from a Hardy field: convergence, recurrence and combinatorial applications
by: Bergelson, Vitaly, et al.
Published: (2020)

Pointwise convergence of ergodic averages with Möbius weight
by: Teräväinen, Joni
Published: (2024)

Pisot Substitution Conjecture and Rauzy Fractals
by: Nakaishi, Kentaro
Published: (2024)