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We study forcing of periodic points in orientation reversing twist maps. First, we observe that the fourth iterate of an orientation reversing twist map can be expressed as the composition of four orientation preserving positive twist maps. We then reformulate the problem in terms of parabolic flows, which form the natural dynamics on a certain space of(More)
BACKGROUND Nonpathogenic Escherichia coli strain Nissle 1917 (EcN) has immunomodulatory properties and can act on different cells which are important for the allergic immune response. Herein, we investigated the efficacy and tolerability of EcN in subjects with grass pollen-dependent allergic rhinoconjunctivitis. METHODS Grass pollen-allergic subjects(More)
Objective. To validate the empiric observation that pH has an important effect on oxygenation in infants receiving iNO. Study Design. Demographics, ventilator settings, arterial blood gases (ABG), and interventions for up to 96 hours of life were extracted from the charts of 51 infants receiving iNO. Need for ECMO and survival to discharge were noted. Mean(More)
We present a rigorous numerical method for proving the existence of a localised radially symmetric solution for a Ginzburg-Landau type equation. This has a direct application to the problem of finding spots in the Swift-Hohenberg equation. The method is more generally applicable to finding radially symmetric solutions of stationary PDEs on the entire space.(More)
In [VAV11], Várilly-Alvarado and the last author constructed an Enriques surface X over Q with anétale-Brauer obstruction to the Hasse principle and no algebraic Brauer-Manin obstruction. In this paper, we show that the nontrivial Brauer class of X Q does not descend to Q. Together with the results of [VAV11], this proves that the Brauer-Manin obstruction(More)
Area-preserving diffeomorphisms of a 2-disc can be regarded as time-1 maps of (non-autonomous) Hamiltonian systems on S 1 × D 2. In this 3-dimensional setting we can think of flow-lines of the Hamilton equations as closed braids in the solid torus S 1 × D 2. In the spirit of positive braid classes and flat-knot types as used in [17] and [2] we define braid(More)
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