Stable non-Gaussian self-similar mixed moving averages can be decomposed into several components. Two of these are the periodic and cyclic fractional stable motions which are the subject of this study. We focus on the structure of their integral representations and show that the periodic fractional stable motions have, in fact, a canonical representation. We study several examples and discuss q...

Stable non-Gaussian self-similar mixed moving averages can be decomposed into several components. Two of these are the periodic and cyclic fractional stable motions which are the subject of this study. We focus on the structure of their integral representations and show that the periodic fractional stable motions have, in fact, a canonical representation. We study several examples and discuss q...

Abstract. In this paper, we introduce a Z-graded variant of the periodic cyclic homology of associative algebras which generalizes the infinitesimal cohomology of affine algebras in characteristic 0 and show that it satisfies the K0nneth formula (i.e. it commutes with the formation of tensor products). We also show that the Kllnneth formula in periodic cyclic homology holds only under the prese...

Human cyclic neutropenia is characterized by severe depression of blood neutrophil levels approximately every 21 days. To investigate the mechanism of cyclic neutropenia four patients were studied with daily complete blood counts, serial bone marrow examinations, marrow reserve testing, serum muramidase determinations, DF(22)P granulocytokinetic studies, and, in one patient, in vivo [(3)H]TdR l...

Time-periodic flows with spatio-temporal symmetry Z2 × O(2) – invariance in the spanwise direction generating the O(2) symmetry group and a half-period-reflection symmetry in the streamwise direction generating a spatio-temporal Z2 symmetry group – are of interest largely because this is the symmetry group of periodic laminar two-dimensional wakes of symmetric bodies. Such flows are the base st...

This study elucidates the origin of the multiplicity of stable oscillatory flows detected by time integration in tall rectangular cavities heated from the side. By using continuation techniques for periodic orbits, it is shown that initially unstable branches, arising at Hopf bifurcations of the basic steady flow, become stable after crossing Neimark-Sacker points. There are no saddle-node or p...

We prove the existence of time-quasi-periodic solutions incompressible Euler equation on three-dimensional torus T3, with a small external force. The are perturbations constant (Diophantine) vector fields, and they constructed by means normal forms KAM techniques for reversible quasilinear PDEs.

The aim of this paper is to give a multiplicative asymptotics for the deviation of ergodic averages for certain classes of suspension flows over Vershik’s automorphisms [11, 13]. A corollary of the main result yields limit theorems for these flows. Informally, Vershik’s automorphisms (also sometimes called “adic transformations”) are dynamical systems whose orbits are leaves of the asymptotic f...