Bernard Host
University of Paris
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Publication
Featured researches published by Bernard Host.
Ergodic Theory and Dynamical Systems | 1999
Fabien Durand; Bernard Host; Christian Skau
The present paper explores substitution minimal systems and their relation to stationary Bratteli diagrams and stationary dimension groups. The constructions involved are algorithmic and explicit, and render an effective method to compute an invariant of (ordered)
Israel Journal of Mathematics | 2005
Bernard Host; Bryna Kra
K
Israel Journal of Mathematics | 1991
Bernard Host
-theoretic nature for these systems. This new invariant is independent of spectral invariants which have previously been extensively studied. Before we state the main results we give some background.
Ergodic Theory and Dynamical Systems | 2002
François Blanchard; Bernard Host; Sylvie Ruette
We prove theL2 convergence for an ergodic average of a product of functions evaluated along polynomial times in a totally ergodic system. For each set of polynomials, we show that there is a particular factor, which is an inverse limit of nilsystems, that controls the limit behavior of the average. For a general system, we prove the convergence for certain families of polynomials.
Israel Journal of Mathematics | 1995
Bernard Host
We prove that every pairwise independent joining of weakly mixing systems with purely singular spectrum is independent; it follows that every mixing system with purely singular spectrum is mixing of all orders.
Ergodic Theory and Dynamical Systems | 2001
Bernard Host; Bryna Kra
We show that in a topological dynamical system
Crelle's Journal | 2007
Nikos Frantzikinakis; Bernard Host; Bryna Kra
(X,T)
Journal of The London Mathematical Society-second Series | 2003
María Isabel Cortez; Fabien Durand; Bernard Host; Alejandro Maass
of positive entropy there exist proper (positively) asymptotic pairs, that is, pairs
arXiv: Dynamical Systems | 2011
Qing Chu; Nikos Frantzikinakis; Bernard Host
(x,y)
Ergodic Theory and Dynamical Systems | 2011
Bernard Host; Bryna Kra
such that