A dimension group for local homeomorphisms and endomorphisms of onesided shifts fo finite type.
A Ford-Fulkerson type theorem concerning vector-valued flows in infinite networks
A mixing dynamical system on the Cantor set.
A new model of the ergodic transformations
A non-ergodic version of Rudolph's theorem
A non-regular Toeplitz flow with preset pure point spectrum
Given an arbitrary countable subgroup of the torus, containing infinitely many rationals, we construct a strictly ergodic 0-1 Toeplitz flow with pure point spectrum equal to . For a large class of Toeplitz flows certain eigenvalues are induced by eigenvalues of the flow Y which can be seen along the aperiodic parts.
A note on the relation between asymptotic rates of a flow under a function and its basis-automorphism
Algebraic Hulls and the Folner Property.
Almost 1-1 extensions of Furstenberg-Weiss type and applications to Toeplitz flows
Let be a minimal non-periodic flow which is either symbolic or strictly ergodic. Any topological extension of is Borel isomorphic to an almost 1-1 extension of . Moreover, this isomorphism preserves the affine-topological structure of the invariant measures. The above extends a theorem of Furstenberg-Weiss (1989). As an application we prove that any measure-preserving transformation which admits infinitely many rational eigenvalues is measure-theoretically isomorphic to a strictly ergodic toeplitz...
An integral operator inequality with applications.
Asymptotic rate of a flow
-continuity of the Fröbenius-Perron semigroup.
Catching small sets under Flows
Chaotic behavior of infinitely divisible processes
The hierarchy of chaotic properties of symmetric infinitely divisible stationary processes is studied in the language of their stochastic representation. The structure of the Musielak-Orlicz space in this representation is exploited here.
Continuity at zero of semi-groups on L1 and differentiation of additive processes
Continuity of Locally Compact Group Actions with Measurable Orbit Maps.
Dirichlet series induced by the Riemann zeta-function
The Riemann zeta-function ζ(s) extends to an outer function in ergodic Hardy spaces on , the infinite-dimensional torus indexed by primes p. This enables us to investigate collectively certain properties of Dirichlet series of the form for in . Among other things, using the Haar measure on for measuring the asymptotic behavior of ζ(s) in the critical strip, we shall prove, in a weak sense, the mean-value theorem for ζ(s), equivalent to the Lindelöf hypothesis.
Double recurrence and almost sure convergence.
En général, un semi-flot spécial est exact
Ergodic averages and integrals of cocycles.