Article (Published Version) http://sro.sussex.ac.uk Falls, K, Litim, D, Nikolakopoulos, K and Rahmede, C (2016) Further evidence for asymptotic safety of quantum gravity. Physical Review D, 93 (10). p. 104022. ISSN 1550-7998 This version is available from Sussex Research Online: http://sro.sussex.ac.uk/63626/ This document is made available in accordance with publisher policies and may differ from the published version or from the version of record. If you wish to cite this item you are advised to consult the publisher's version. Please see the URL above for details on accessing the published version. Copyright and reuse:Sussex Research Online is a digital repository of the research output of the University.Copyright and all moral rights to the version of the paper presented here belong to the individual author(s) and/or other copyright owners. To the extent reasonable and practicable, the material made available in SRO has been checked for eligibility before being made available.Copies of full text items generally can be reproduced, displayed or performed and given to third parties in any format or medium for personal research or study, educational, or not-for-profit purposes without prior permission or charge, provided that the authors, title and full bibliographic details are credited, a hyperlink and/or URL is given for the original metadata page and the content is not changed in any way.Further evidence for asymptotic safety of quantum gravity The asymptotic safety conjecture is examined for quantum gravity in four dimensions. Using the renormalization group, we find evidence for an interacting UV fixed point for polynomial actions up to the 34th power in the Ricci scalar. The extrapolation to infinite polynomial order is given, and the selfconsistency of the fixed point is established using a bootstrap test. All details of our analysis are provided. We also clarify further aspects such as stability, convergence, the role of boundary conditions, and a partial degeneracy of eigenvalues. Within this setting we find strong support for the conjecture.

We study quantum gravity effects for Myers-Perry black holes assuming that the leading contributions arise from the renormalization group evolution of Newton's coupling. Provided that gravity weakens following the asymptotic safety conjecture, we find that quantum effects lift a degeneracy of higher-dimensional black holes, and dominate over kinematical ones induced by rotation, particularly for small black hole mass, large angular momentum, and higher space-time dimensionality. Quantum-corrected space-times display inner and outer horizons, and show the existence of a black hole of smallest mass in any dimension. Ultra-spinning solutions no longer persist. Thermodynamic properties including temperature, specific heat, the Komar integrals, and aspects of black hole mechanics are studied as well. Observing a softening of the ring singularity, we also discuss the validity of classical energy conditions

Since the advent of high spatial resolution satellite images, the fusion of multiresolution images has been an important field of research. Many methods such as Principal Component Analysis (PCA), Multiplicative Transform, Brovey Transform, IHS Transform and wavelet transform have been developed in the last few years producing good quality fused images. These images are usually characterized by high information content, but with significantly altered spectral information content. More recently Yun Zhang has presented a new algorithm for the fusion of Landsat ETM and Ikonos data respectively. In this study we compare the efficiency of four of the above fusion techniques and more especially the efficiency of Modified IHS PCA, Pansharp and Wavelet fusion techniques for the fusion of Ikonos data. The area of interest is situated in Crete, Greece. It is a coastal area. A Ikonos cloud free subscene was used in this comparative study. The nearest neighborhood method has been used for the resampling and the fused images have a 1 meter pixel size. For each merged image we have examined: a) the optical qualitative result, b) the statistical parameters of the histograms of the various frequency bands, especially the standard deviation All the fusion techniques improve the resolution and the optical result. The Pansharp and the Wavelet merging technique do not change at all the statistical parameters of the original images. The Pansharp merging technique is proposed if the researcher want to proceed to further processing using for example vegetation indexes or to perform classification using the spectral signatures.

No abstract

No abstract