Nikos Frantzikinakis
- Higher order Fourier analysis of multiplicative functions and applications
2014/03/04 by Nikos Frantzikinakis, Bernard Host, Frantzikinakis, Nikos +1 · 4 citations
Computer Science · Mathematics · #05D10 #11B30 #11N37 #11N60 #37A45 #Analytic Number Theory Research #Combinatorics (math.CO) #Dynamical Systems (math.DS) #FOS: Mathematics #Limits and Structures in Graph Theory #Number Theory (math.NT) #semigroups and automata theory
- Multiple ergodic averages for three polynomials and applications
2006/06/22 by Nikos Frantzikinakis, Frantzikinakis, Nikos · 3 citations
Mathematics · #28D05 #37A30 #37A45 #Analytic Number Theory Research #Combinatorics (math.CO) #Dynamical Systems (math.DS) #FOS: Mathematics #Limits and Structures in Graph Theory #Mathematical Dynamics and Fractals
- Multiple recurrence and convergence for Hardy sequences of polynomial\n growth
2009/02/28 by Nikos Frantzikinakis, Frantzikinakis, Nikos · 3 citations
Mathematics · #05D10 #28D05 #37A45 #Analytic Number Theory Research #Combinatorics (math.CO) #Dynamical Systems (math.DS) #FOS: Mathematics #Limits and Structures in Graph Theory #Mathematical Dynamics and Fractals #Meromorphic and Entire Functions
- Multiple recurrence and convergence without commutativity
2021/11/02 by Nikos Frantzikinakis, Frantzikinakis, Nikos, Bernard Host +1 · 2 citations
Materials Science · Mathematics · #28D05 #Dynamical Systems (math.DS) #FOS: Mathematics #Graph theory and applications #Mathematical Dynamics and Fractals #Primary: 37A30 #Quasicrystal Structures and Properties #Secondary: 37A45
- Multiple recurence and convergence for sequences related to the prime numbers
2006/07/25 by Nikos Frantzikinakis, Bernard Host, Frantzikinakis, Nikos +3 · 1 citation
Mathematics · #28D05 #37A30 #Advanced Topology and Set Theory #Analytic Number Theory Research #Combinatorics (math.CO) #Dynamical Systems (math.DS) #FOS: Mathematics #Limits and Structures in Graph Theory
- Furstenberg systems of Hardy field sequences and applications
2022/08/25 by Nikos Frantzikinakis · 2 citations
Mathematics · #Mathematical Dynamics and Fractals #Limits and Structures in Graph Theory #Advanced Topology and Set Theory
- Joint ergodicity for commuting transformations and applications to polynomial sequences
2022/07/25 by Nikos Frantzikinakis, Frantzikinakis, Nikos, Borys Kuca +1 · 3 citations
Computer Science · Engineering · Mathematics · #05D10 #11B30 #Coding theory and cryptography #Combinatorics (math.CO) #Dynamical Systems (math.DS) #FOS: Mathematics #Graph theory and applications #Primary: 37A44 #Secondary: 28D05 #graph theory and CDMA systems
- Partition regularity of Pythagorean pairs
2023/09/30 by Nikos Frantzikinakis, Oleksiy Klurman, Joel Moreira · 2 citations
Computer Science · Mathematics · #Finite Group Theory Research #Graph Labeling and Dimension Problems #Limits and Structures in Graph Theory #math.CO #math.NT
- Furstenberg systems of Hardy field sequences and applications
2020/07/06 by Nikos Frantzikinakis, Frantzikinakis, Nikos · 1 citation
Mathematics · #Advanced Algebra and Geometry #Holomorphic and Operator Theory #Advanced Differential Equations and Dynamical Systems
- Joint ergodicity of sequences
2021/02/19 by Nikos Frantzikinakis, Frantzikinakis, Nikos · 2 citations
Mathematics · Economics, Econometrics and Finance · #Mathematical Dynamics and Fractals #Stochastic processes and financial applications #Advanced Topology and Set Theory
- The polynomial multidimensional Szemerédi Theorem along shifted primes
2010/09/08 by Nikos Frantzikinakis, Frantzikinakis, Nikos, Bernard Host +3 · 1 citation
Mathematics · #05D10 #28D05 #Analytic Number Theory Research #Combinatorics (math.CO) #Dynamical Systems (math.DS) #FOS: Mathematics #Limits and Structures in Graph Theory #Meromorphic and Entire Functions #Number Theory (math.NT) #Primary: 11B30 #Secondary: 37A45
- Furstenberg systems of pretentious and MRT multiplicative functions
2023/04/06 by Nikos Frantzikinakis, Frantzikinakis, Nikos, Mariusz Lemańczyk +3 · 1 citation
Computer Science · Mathematics · #11K65 #Advanced Topology and Set Theory #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #Primary: 11N37 #Secondary: 37A44 #semigroups and automata theory
- Partition regularity of homogeneous quadratics: Current trends and challenges
2024/11/26 by Nikos Frantzikinakis, Frantzikinakis, Nikos · 1 citation
Mathematics · #11B30 #37A44 #Advanced Optimization Algorithms Research #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #Primary:05D10 #Secondary:11N37