A 16-month-old male patient with cyclic neutropenia was found to have cyclic fluctuations of monocytes, lymphocytes, platelets, and eosinophils in the peripheral blood. Changes in lymphocyte counts were not obviously related to B, T, or natural killer cells. All classes of immunoglobulins were elevated throughout the cycle. Studies of the marrow morphology revealed remarkable cyclic oscillation...

Cyclic thrombocytopenia is a rare disorder characterized by periodic decreases and increases in platelet levels. Recent data suggest these fluctuations result from periodic failure of effective platelet production or periodic immune-mediated platelet destruction.’.’ However, the pathogenesis of this disorder is uncertain. We developed an enzyme-linked immunosorbent assay (ELISA) of serum thromb...

We prove several generic existence results for infinitely many periodic orbits of Hamiltonian diffeomorphisms or Reeb flows. For instance, we show that a Hamiltonian diffeomorphism of a complex projective space or Grassmannian generically has infinitely many periodic orbits. We also consider symplectomorphisms of the two-torus with irrational flux. We show that such a symplectomorphism necessar...

A central result here is the computation of the entire cyclic homology of canonical smooth subalgebras of stable continuous trace C∗-algebras having smooth manifolds M as their spectrum. More precisely, the entire cyclic homology is shown to be canonically isomorphic to the continuous periodic cyclic homology for these algebras. By an earlier result of the authors, one concludes that the entire...

By means of a proper notion of periodic cyclic matrix, we study the possibility of transforming a given periodic system into a canonical companion form. The passage from such form to an input-output periodic representation is straightforward. We characterize the structural properties of a system in canonical form in terms of coprimeness of the two periodic polynomials appearing in the input-out...

We classify the periodic Hamiltonian flows on compact four dimensional symplectic manifolds up to isomorphism of Hamiltonian S-spaces. Additionally, we show that all these spaces are Kähler, that every such space is obtained from a simple model by a sequence of symplectic blowups, and that if the fixed points are isolated then the space is a toric variety.

The study of fixed points is a classical subject in geometry and dynamics. If the circle acts in a Hamiltonian fashion on a compact symplectic manifoldM , then it is classically known that there are at least dim M 2 +1 fixed points; this follows fromMorse theory for the momentum map of the action. In this paper we use Atiyah-Bott-Berline-Vergne (ABBV) localization in equivariant cohomology to p...

For a weakly exact magnetic flows with a bounded primitive on a closed Riemannian manifold, we prove the existence of periodic orbits in almost all energy levels below of the Mañé’s critical value. Mathematics Subject Classification: 37J45

Turbulent flows are ubiquitous both in nature and in engineering applications, with far-reaching implications. Turbulence in wall bounded shear flows such as that in pipes, channels and boundary layers feature turbulent transition at Reynolds numbers for which the laminar flow is linearly stable [1], and often do so in the form of discrete patches of turbulence surrounded by quiescent fluid [2]...