Concept
Hypothèse ergodique
Publications associées (34)
Dynamical generalizations of the Prime Number Theorem and disjointness of additive and multiplicative semigroup actions
We establish two ergodic theorems which have among their corollaries numerous classical results from multiplicative number theory, including the Prime Number Theorem, a theorem of Pillai-Selberg, a theorem of Erd\H{o}s-Delange, the mean value theorem of Wi ...
2020Macroscopic polarization in the nominally ergodic relaxor state of lead magnesium niobate
Dragan Damjanovic, Yang Li, Lukas Riemer, Kanghyun Chu, Brahim Dkhil
Macroscopic polarity and its dynamic response to external electric fields and temperature in the nominally ergodic relaxor phase of pristine lead magnesium niobate crystals and ceramics, Pb(Mg1/3Nb2/3)O3 (PMN), were investigated. Dynamic pyroelectric measu ...
2020A generalization of Kátai's orthogonality criterion with applications
We study properties of arithmetic sets coming from multiplicative number theory and obtain applications in the theory of uniform distribution and ergodic theory. Our main theorem is a generalization of Kátai's orthogonality cri ...
2019An Ergodic Theory of Binary Operations-Part I: Key Properties
An open problem in polarization theory is to determine the binary operations that always lead to polarization (in the general multilevel sense) when they are used in Arikan style constructions. This paper, which is presented in two parts, solves this probl ...
Ieee-Inst Electrical Electronics Engineers Inc2016