Existential questions in (relatively) hyperbolic groups {\it and} Finding relative hyperbolic structures

This arXived paper has two independant parts, that are improved and corrected versions of different parts of a single paper once named "On equations in relatively hyperbolic groups". The first part is entitled "Existential questions in (relatively) hyperbolic groups". We study there the existential theory of torsion free hyperbolic and relatively hyperbolic groups, in particular those with virtually abelian parabolic subgroups. We show that the satisfiability of systems of equations and inequations is decidable in these groups. In the second part, called "Finding relative hyperbolic structures", we provide a general algorithm that recognizes the class of groups that are hyperbolic relative to abelian subgroups.Comment: Two independant parts 23p + 9p, revised. To appear separately in Israel J. Math, and Bull. London Math. Soc. respectivel

Accidental parabolics and relatively hyperbolic groups

By constructing, in the relative case, objects analoguous to Rips and Sela's canonical representatives, we prove that the set of images by morphisms without accidental parabolic, of a finitely presented group in a relatively hyperbolic group, is finite, up to conjugacy.Comment: Revision, 24 pages, 4 figure

Twin building lattices do not have asymptotic cut-points

We show that twin building lattices have linear divergence, which implies that all asymptotic cones are without cut-points.Comment: 7 page

Transparent conducting sol-gel ATO coatings for display applications by an improved dip coating technique

Transparent conducting coatings of sol—gel ATO (antimony-doped tin oxide) were used to improve surface smoothness of commercial sputter-deposited ITO (indium tin oxide) coatings for application as display electrodes. In order to overcome the deteriorating evaporation-cooling during dip coating, the coating solution was heated moderately to 25 °C thus providing the substrate with the required heat. This way, the surface roughness of the ITO could be reduced with an only 45 nm thick ATO coating to Rpv = 3.8 nm (Ra = 0.4 nm) compared to 31 nm (3.8 nm) for the ITO substrate. Another benefit of such additional coating is the possibility to tailor surface properties of the electrodes in wide ranges. This was used to increase the work function of the ITO substrate from initially 4.3—4.6 eV to about 4.8—5.2 eV by the ATO coating

Parabolic groups acting on one-dimensional compact spaces

Given a class of compact spaces, we ask which groups can be maximal parabolic subgroups of a relatively hyperbolic group whose boundary is in the class. We investigate the class of 1-dimensional connected boundaries. We get that any non-torsion infinite f.g. group is a maximal parabolic subgroup of some relatively hyperbolic group with connected one-dimensional boundary without global cut point. For boundaries homeomorphic to a Sierpinski carpet or a 2-sphere, the only maximal parabolic subgroups allowed are virtual surface groups (hyperbolic, or virtually $\mathbb{Z} + \mathbb{Z}$).Comment: 10 pages. Added a precision on local connectedness for Lemma 2.3, thanks to B. Bowditc

Morphologic examination of the temporal bone by cone beam computed tomography: Comparison with multislice helical computed tomography

SummaryIntroductionHigh-resolution CT imaging is essential to diagnosis and follow-up of temporal bone pathology. Morphologically, CT is the reference examination. The requirement of long-term follow-up thus exposes patients to cumulative radiation doses. Limiting exposure to ionizing radiation is an increasing concern of public health authorities. The principal advantage of Cone Beam CT (CBCT) lies in a significant reduction in radiation dose. The main objective of the present study was to assess the morphologic concordance between CBCT and Multislice Helical Computed Tomography (MSCT) on 20 anatomic landmarks corresponding to regions of interest in clinical practice. The secondary objectives were to compare the two techniques qualitatively in stapes and footplate assessment and measurement of footplate thickness, and quantitatively in terms of dosimetry.Material and methodsAn experimental anatomical study was performed on 12 temporal bones from fresh human cadavers of unknown clinical history. Each underwent CBCT and MSCT.ResultsThere was no significant difference in morphologic assessment of the temporal bones on the two techniques. Exploration of the stapes, incudostapedial joint, anterior stapediovestibular joint and footplate was qualitatively more precise on CBCT, and footplate thickness showed less overestimation than on MSCT. CBCT delivered 22 times less radiation than MSCT under the present experimental conditions.ConclusionCBCT provides reliable morphologic assessment of temporal bone, thanks to higher spatial resolution than on MSCT, with significantly reduced radiation dose

Whispering gallery mode resonator based ultra-narrow linewidth external cavity semiconductor laser

We demonstrate a miniature self-injection locked DFB laser using resonant optical feedback from a high-Q crystalline whispering gallery mode resonator. The linewidth reduction factor is greater than 10,000, with resultant instantaneous linewidth less than 200 Hz. The minimal value of the Allan deviation for the laser frequency stability is 3x10^(-12) at the integration time of 20 us. The laser possesses excellent spectral purity and good long term stability.Comment: To be published in Optics Letter

IS ACROMEGALY A HYPERCOAGULABLE CONDITION? CASE REPORTS AND REVIEW OF THE LITERATURE

Introduction: Cardiovascular complications are a major cause of morbidity and mortality in patients with uncontrolled acromegaly. However, there are no published reports of an increased risk of venous thromboembolism (VTE) in such patients. We report three patients with uncontrolled acromegaly who presented with VTE. Clinical Cases: A 52-year-old male with uncontrolled acromegaly despite transsphenoidal (TSP) surgery and medical therapy presented in 2012 with acute chest pain and shortness of breath that was later con rmed as secondary to pulmonary embolism. A 44-year-old male immigrant, previously treated for acromegaly with radiation therapy alone, in 1992, in his native country, was referred to our centre in 2006 for acromegaly which remained uncontrolled despite medical therapy until 2009 when he achieved remission through TSP surgery. He had several episodes of VTE between 2008 and 2010. A 69-year-old male with uncontrolled acromegaly for 28 years despite two surgical resections and radiation therapy in 1986 and 1992, as well as continuous medical therapy, presented with VTE of the right axillary vein and bilateral pulmonary emboli in 2011. A thrombophilia screen in case 1 showed mild protein S de ciency, case 2 was homozygous for factor V Leiden (FVL) mutation and case 3 was heterozygous for FVL. Extensive investigations revealed no evidence of malignancy and echocardiography showed preserved ejection fraction in all three patients. Conclusion: Patients with uncontrolled acromegaly may be at increased risk of VTE. However, larger studies are required to further assess this association and determine the underlying cause. Key words: Acromegaly, pituitary tumours, thromboembolism

Observation of Collective-Emission-Induced Cooling inside an Optical Cavity

We report the observation of collective-emission-induced, velocity-dependent light forces. One third of a falling sample containing 3 x 10^6 cesium atoms illuminated by a horizontal standing wave is stopped by cooperatively emitting light into a vertically oriented confocal resonator. We observe decelerations up to 1500 m/s^2 and cooling to temperatures as low as 7 uK, well below the free space Doppler limit. The measured forces substantially exceed those predicted for a single two-level atom.Comment: 10 pages, 5 figure