Complex bounds for multimodal maps: bounded combinatorics

We proved the so called complex bounds for multimodal, infinitely renormalizable analytic maps with bounded combinatorics: deep renormalizations have polynomial-like extensions with definite modulus. The complex bounds is the first step to extend the renormalization theory of unimodal maps to multimodal maps.Comment: 20 pages, 3 figure

Rigidity of escaping dynamics for transcendental entire functions

We prove an analog of Boettcher's theorem for transcendental entire functions in the Eremenko-Lyubich class B. More precisely, let f and g be entire functions with bounded sets of singular values and suppose that f and g belong to the same parameter space (i.e., are *quasiconformally equivalent* in the sense of Eremenko and Lyubich). Then f and g are conjugate when restricted to the set of points which remain in some sufficiently small neighborhood of infinity under iteration. Furthermore, this conjugacy extends to a quasiconformal self-map of the plane. We also prove that this conjugacy is essentially unique. In particular, we show that an Eremenko-Lyubich class function f has no invariant line fields on its escaping set. Finally, we show that any two hyperbolic Eremenko-Lyubich class functions f and g which belong to the same parameter space are conjugate on their sets of escaping points.Comment: 28 pages; 2 figures. Final version (October 2008). Various modificiations were made, including the introduction of Proposition 3.6, which was not formally stated previously, and the inclusion of a new figure. No major changes otherwis

Effects of the dual sodium-glucose linked transporter inhibitor, licogliflozinvsplacebo or empagliflozin in patients with type 2 diabetes and heart failure

Aims Explore the efficacy, safety and tolerability of the dual sodium-glucose cotransporter (SGLT) 1 and 2 inhibitor, licogliflozin in patients with type-2 diabetes mellitus (T2DM) and heart failure. Methods This multicentre, parallel-group phase IIA study randomized 125 patients with T2DM and heart failure (New York Heart Association II-IV; plasma N-terminal pro b-type natriuretic peptide [NT-proBNP] >300 pg/mL) to licogliflozin (2.5 mg, 10 mg, 50 mg) taken at bedtime, empagliflozin (25 mg) or placebo (44 patients completed the study). The primary endpoint was change from baseline in NT-proBNP after 12 weeks. Secondary endpoints included change from baseline in glycated haemoglobin, fasting plasma glucose, weight, blood pressure, fasting lipid profile, high-sensitivity c-reactive protein, and safety and tolerability. Results Licogliflozin 10 mg for 12 weeks significantly reduced NT-proBNPvsplacebo (Geometric mean ratio 0.56 [95% confidence interval: 0.33, 0.95],P =.033). A trend was observed with 50 mg licogliflozin (0.64 [95% confidence interval: 0.40, 1.03],P =.064), with no difference between licogliflozin and empagliflozin. The largest numerical decreases in glycated haemoglobin were with licogliflozin 50 mg (-0.58 +/- 0.34%) and empagliflozin (-0.44 +/- 1.18%)vsplacebo (-0.04 +/- 0.91%). The reduction in body weight was similar with licogliflozin 50 mg (-2.15 +/- 2.40 kg) and empagliflozin (-2.25 +/- 1.89 kg). A numerical reduction in systolic blood pressure was seen with licogliflozin 50 mg (-9.54 +/- 16.88 mmHg) and empagliflozin (-6.98 +/- 15.03 mmHg)vsplacebo (-2.85 +/- 11.97 mmHg). Adverse events (AEs) were mild, including hypotension (6.5%), hypoglycaemia (8.1%) and inadequate diabetes control (1.6%). The incidence of diarrhoea (4.9%) was lower than previously reported. Conclusion The reduction in NT-proBNP with licogliflozin suggests a potential benefit of SGLT1 and 2 inhibition in patients with T2DM and heart failure

Complex maps without invariant densities

We consider complex polynomials $f(z) = z^\ell+c_1$ for $\ell \in 2\N$ and $c_1 \in \R$, and find some combinatorial types and values of $\ell$ such that there is no invariant probability measure equivalent to conformal measure on the Julia set. This holds for particular Fibonacci-like and Feigenbaum combinatorial types when $\ell$ sufficiently large and also for a class of `long-branched' maps of any critical order.Comment: Typos corrected, minor changes, principally to Section

ГЕНЕРАЦИЯ ИСКУССТВЕННЫХ РЕНТГЕНОВСКИХ ИЗОБРАЖЕНИЙ ГРУДНОЙ КЛЕТКИ С ИСПОЛЬЗОВАНИЕМ ГЕНЕРАТИВНО-СОСТЯЗАТЕЛЬНЫХ НЕЙРОННЫХ СЕТЕЙ

This paper deals with the problem of generating artificial chest x-ray images which expected to be almost undistinguishable from real ones. Generation was performed using Generative Adversarial Nets (GAN). Similarity of resultant artificial images to the real ones was evaluated both by visual examination and by quantitative assessment using commonly known Local Binary Patterns. It was concluded that GANs can be successfully employed for generating realistically appearing artificial chest radiographs. However, an automatic procedure of selecting “most realistic” results is necessary for excluding the final visual quality control stage and making the whole generation process fully automatic.Рассматривается задача генерации правдоподобных (трудноотличимых от реальных) рентгеновских изображений грудной клетки человека в норме. Указанная задача решается с использованием генеративно-состязательных нейронных сетей (Generative Adversarial Nets). Степень правдоподобия получаемых результатов оценивается как визуально, так и количественно путем сравнения дескрипторов структуры изображений, основанных на локальных двоичных шаблонах

On the Lebesgue measure of Li-Yorke pairs for interval maps

We investigate the prevalence of Li-Yorke pairs for $C^2$ and $C^3$ multimodal maps $f$ with non-flat critical points. We show that every measurable scrambled set has zero Lebesgue measure and that all strongly wandering sets have zero Lebesgue measure, as does the set of pairs of asymptotic (but not asymptotically periodic) points. If $f$ is topologically mixing and has no Cantor attractor, then typical (w.r.t. two-dimensional Lebesgue measure) pairs are Li-Yorke; if additionally $f$ admits an absolutely continuous invariant probability measure (acip), then typical pairs have a dense orbit for $f \times f$. These results make use of so-called nice neighborhoods of the critical set of general multimodal maps, and hence uniformly expanding Markov induced maps, the existence of either is proved in this paper as well. For the setting where $f$ has a Cantor attractor, we present a trichotomy explaining when the set of Li-Yorke pairs and distal pairs have positive two-dimensional Lebesgue measure.Comment: 41 pages, 3 figure

Measurement of the WW Boson Mass

A measurement of the mass of the $W$ boson is presented based on a sample of 5982 $W \rightarrow e \nu$ decays observed in $p\overline{p}$ collisions at $\sqrt{s}$ = 1.8~TeV with the D\O\ detector during the 1992--1993 run. From a fit to the transverse mass spectrum, combined with measurements of the $Z$ boson mass, the $W$ boson mass is measured to be $M_W = 80.350 \pm 0.140 (stat.) \pm 0.165 (syst.) \pm 0.160 (scale) GeV/c^2$.Comment: 12 pages, LaTex, style Revtex, including 3 postscript figures (submitted to PRL

Search for Top Squark Pair Production in the Dielectron Channel

This report describes the first search for top squark pair production in the channel stop_1 stopbar_1 -> b bbar chargino_1 chargino_1 -> ee+jets+MEt using 74.9 +- 8.9 pb^-1 of data collected using the D0 detector. A 95% confidence level upper limit on sigma*B is presented. The limit is above the theoretical expectation for sigma*B for this process, but does show the sensitivity of the current D0 data set to a particular topology for new physics.Comment: Five pages, including three figures, submitted to PRD Brief Report

Search for a Fourth Generation Charge -1/3 Quark via Flavor Changing Neutral Current Decay

We report on a search for pair production of a fourth generation charge -1/3 quark (b') in pbar p collisions at sqrt(s) = 1.8 TeV at the Fermilab Tevatron using an integrated luminosity of 93 pb^-1. Both quarks are assumed to decay via flavor changing neutral currents (FCNC). The search uses the signatures gamma + 3 jets + mu-tag and 2 gamma + 2 jets. We see no significant excess of events over the expected background. We place an upper limit on the production cross section times branching fraction that is well below theoretical expectations for a b' quark decaying exclusively via FCNC for b' quark masses up to m(Z) + m(b).Comment: Eleven pages, two postscript figures, submitted to Physical Review Letter

Direct Measurement of the Top Quark Mass at D0

We determine the top quark mass m_t using t-tbar pairs produced in the D0 detector by \sqrt{s} = 1.8 TeV p-pbar collisions in a 125 pb^-1 exposure at the Fermilab Tevatron. We make a two constraint fit to m_t in t-tbar -> b W^+bbar W^- final states with one W boson decaying to q-qbar and the other to e-nu or mu-nu. Likelihood fits to the data yield m_t(l+jets) = 173.3 +- 5.6 (stat) +- 5.5 (syst) GeV/c^2. When this result is combined with an analysis of events in which both W bosons decay into leptons, we obtain m_t = 172.1 +- 5.2 (stat) +- 4.9 (syst) GeV/c^2. An alternate analysis, using three constraint fits to fixed top quark masses, gives m_t(l+jets) = 176.0 +- 7.9 (stat) +- 4.8 (syst) GeV/C^2, consistent with the above result. Studies of kinematic distributions of the top quark candidates are also presented.Comment: 43 pages, 53 figures, 33 tables. RevTeX. Submitted to Phys. Rev.