arXiv subjects

L. Gurvits

Publications and source records attributed to L. Gurvits.

4 recordsLinked to original sources

arXiv2023

J2102+6015: an Intriguing Radio-loud Active Galactic Nucleus in the Early Universe

The powerful high-redshift quasar J2102+6015 (at z=4.575) may provide useful information for studying supermassive black hole growth, galaxy evolution and feedback in the early Universe. The source has so far been imaged with very long baseline interferometry (VLBI) at 2/8 GHz (S/X) bands only, showing complex compact structure. Its total radio spectrum peaks at ~6 GHz in the rest frame. There is no sign of Doppler-boosted jet emission, and the separation of the two major features in its east-west oriented structure spanning ~10 milliarcsec does not change significantly on a timescale longer than a decade. However, VLBI astrometric monitoring observations suggest quasi-periodic (~3 yr) variation in its absolute position. J2102+6015 is presumably a young radio source with jets misaligned with respect to the line of sight. Here we briefly report on our new high-resolution imaging observations made with the European VLBI Network (EVN) at 5 and 22 GHz frequencies in 2021 June, and give an overview of what is currently known about this peculiar distant jetted active galactic nucleus.

astro-ph.GA↗

arXiv2009

Stability Testing of Matrix Polytopes

Motivated by questions in robust control and switched linear dynamical systems, we consider the problem checking whether all convex combinations of k matrices in R^{n x n} are stable. In particular, we are interested whether there exist algorithms which can solve this problem in time polynomial in n and k. We show that if $k= \lceil n^d \rceil$ for any fixed real d>0, then the problem is NP-hard, meaning that no polynomial-time algorithm in n exists provided that P is not NP, a widely believed conjecture in computer science. On the other hand, when k is a constant independent of n, then it is known that the problem may be solved in polynomial time in n. Using these results and the method of measurable switching rules, we prove our main statement: verifying the absolute asymptotic stability of a continuous-time switched linear system with more than n^d matrices A_i in R^{n x n} satisfying 0 >= A_i + A_i^{T} is NP-hard.

math.OC↗

arXiv2006

The VSOP Survey: Final individual results + Final aggregate results

In February 1997 the Japanese radio astronomy satellite HALCA was launched to provide the space-borne element for the VSOP mission. HALCA provided linear baselines three-times greater than that of ground arrays, thus providing higher resolution and higher AGN brightness temperature measurements and limits. Twenty-five percent of the scientific time of the mission was devoted to the ``VSOP survey'' of bright, compact, extra-galactic radio sources at 5 GHz. A complete list of 294 survey targets were selected from pre-launch surveys, 91% of which were observed during the satellite's lifetime. The major goals of the VSOP Survey are statistical in nature: to determine the brightness temperature and approximate structure, to provide a source list for use with future space VLBI missions, and to compare radio properties with other data throughout the electromagnetic spectrum. All the data collected have now been analysed and is being prepared for the final image Survey paper. In these papers we present details of the mission, images of the sources, and some statistics of the contributions and completeness plus some statistics of the images and brightness temperatures. Full resolution images are to be found on http://www.vsop.isas.jaxa.jp/survey/publications/evn.ps.gz

astro-ph↗

arXiv2002

Introduction to Quantum Information Processing

As a result of the capabilities of quantum information, the science of quantum information processing is now a prospering, interdisciplinary field focused on better understanding the possibilities and limitations of the underlying theory, on developing new applications of quantum information and on physically realizing controllable quantum devices. The purpose of this primer is to provide an elementary introduction to quantum information processing, and then to briefly explain how we hope to exploit the advantages of quantum information. These two sections can be read independently. For reference, we have included a glossary of the main terms of quantum information.

quant-ph↗