Concepedia

The logarithmic Sarnak conjecture for ergodic weights

Bernard Host, Nikos Frantzikinakis

HAL (Le Centre pour la Communication Scientifique Directe) · 2018 · 79 citations · 29 references

Concepts

Natural SciencesMathematicsDynamical SystemsProbability TheoryTopologyChaos TheoryEntropyErgodic TheoryMarkov ProcessesTopological DynamicsDisjointnessEntropy In Ergodic TheoryErgodic ProcessesErgodic PropertiesHost-kra Structure TheoryLiouville FunctionStrong StationarityTopological Entropy

Abstract

International audience

References

29

Symbolic Dynamics II. Sturmian Trajectories

Marston Morse, Gustav A. Hedlund · American Journal of Mathematics · 1940 · 803 citations

Natural Sciences, Mathematics, Physics +12

Nonconventional ergodic averages and nilmanifolds

Bernard Host, Bryna Kra · Annals of Mathematics · 2005 · 480 citations · Full text

Natural Sciences, Mathematics, Number Theory +12

Linear equations in primes

Ben Green, Terence Tao · Annals of Mathematics · 2010 · 363 citations · Full text

Natural Sciences, Mathematics, Combinatorics +8

AN INVERSE THEOREM FOR THE GOWERS $U^3(G)$ NORM

Ben Green, Terence Tao · Proceedings of the Edinburgh Mathematical Society · 2008 · 278 citations · Full text

Natural Sciences, Mathematics, Applied Mathematics +13

UNIVERSAL CHARACTERISTIC FACTORS AND FURSTENBERG AVERAGES

2004 · 229 citations

Natural Sciences, Mathematics, Number Theory +7