We consider a transaction processing system with multiple servers (e.g. computer systems) in which transactions may fail at the diierent servers independently (due to the heterogeneity), and only a subset of the total transactions are aaected. Due to this nature, a system is faulty for some transaction classes and good for others. Because failed transactions have a lower processing time, algori...

We employ the method of comparison equations to study the propagation of a massless minimally coupled scalar field on the Schwarzschild background. In particular, we show that this method allows us to obtain explicit approximate expressions for the radial modes with energy below the peak of the effective potential which are fairly accurate over the whole region outside the horizon. This case ca...

The present paper is concerned with the description of black holes and calculation of their entropy in the framework of loop quantum gravity (see [1, 2] for some general introduction to loop quantum gravity). The literature on this subject is large and includes (but is by no means limited to) the pioneering work [3], the introduction of a precise formalism [4, 5], the reformulation and approxim...

The first observational run of the Advanced LIGO detectors, from September 12, 2015 to January 19, 2016, saw the first detections of gravitational waves from binary black hole mergers. In this paper we present full results from a search for binary black hole merger signals with total masses up to 100M and detailed implications from our observations of these systems. Our search, based on general...

Recently Bekenstein and Mayo conjectured an entropy bound for charged rotating objects. On the basis of the No-Hair principle for black holes, they speculate that this bound cannot be improved generically based on knowledge of other “quantum numbers”, e.g. baryon number, which may be borne by the object. Here we take a first step in the proof of this conjecture. The proof make use of a gedanken...

In the present paper we consider, using our earlier results, the process of quantum gravitational collapse and argue that there exists the final quantum state when the collapse stops. This state, which can be called the “no-memory state”, reminds the final “no-hair state” of the classical gravitational collapse. Translating the “no-memory state” into classical language we construct the classica...

We calibrate reverberation-based black hole masses in active galactic nuclei (AGNs) by using the correlation between black hole mass, MBH, and bulge/spheroid stellar velocity dispersion, σ∗. We use new measurements of σ∗ for 6 AGNs and published velocity dispersions for 10 others, in conjunction with improved reverberation mapping results, to determine the scaling factor required to bring rever...