14,220 research outputs found
Splitting formulas for certain Waldhausen Nil-groups
For a group G that splits as an amalgamation of A and B over a common
subgroup C, there is an associated Waldhausen Nil-group, measuring the
"failure" of Mayer-Vietoris for algebraic K-theory. Assume that (1) the
amalgamation is acylindrical, and (2) the groups A,B,G satisfy the
Farrell-Jones isomorphism conjecture. Then we show that the Waldhausen
Nil-group splits as a direct sum of Nil-groups associated to certain
(explicitly describable) infinite virtually cyclic subgroups of G. We note that
a special case of an acylindrical amalgamation includes any amalgamation over a
finite group C.Comment: 12 page
SAOLIM, a prototype of a low cost System for Adaptive Optics with Lucky Imaging
A prototype of a low cost Adaptive Optics (AO) system has been developed at
the Instituto de Astrofisica de Andalucia (CSIC) and tested at the 2.2m
telescope of the Calar Alto observatory. We present here the status of the
project, which includes the image stabilization system and compensation of high
order wavefront aberrations with a membrane deformable mirror. The image
stabilization system consists of magnet driven tip-tilt mirror. The higher
order compensation system comprises of a Shack-Hartmann sensor, a membrane
deformable mirror with 39 actuators and the control computer that allows
operations up to 420Hz in closed loop mode. We have successfully closed the
high order AO loop on natural guide stars. An improvement of 4 times in terms
of FWHM was achieved. The description and the results obtained on the sky are
presented in this paper.Comment: Accepted for publishing in PASP, 11 pages, 14 figures, 6 table
Machine learning techniques to select Be star candidates. An application in the OGLE-IV Gaia south ecliptic pole field
Statistical pattern recognition methods have provided competitive solutions
for variable star classification at a relatively low computational cost. In
order to perform supervised classification, a set of features is proposed and
used to train an automatic classification system. Quantities related to the
magnitude density of the light curves and their Fourier coefficients have been
chosen as features in previous studies. However, some of these features are not
robust to the presence of outliers and the calculation of Fourier coefficients
is computationally expensive for large data sets. We propose and evaluate the
performance of a new robust set of features using supervised classifiers in
order to look for new Be star candidates in the OGLE-IV Gaia south ecliptic
pole field. We calculated the proposed set of features on six types of variable
stars and on a set of Be star candidates reported in the literature. We
evaluated the performance of these features using classification trees and
random forests along with K-nearest neighbours, support vector machines, and
gradient boosted trees methods. We tuned the classifiers with a 10-fold
cross-validation and grid search. We validated the performance of the best
classifier on a set of OGLE-IV light curves and applied this to find new Be
star candidates. The random forest classifier outperformed the others. By using
the random forest classifier and colour criteria we found 50 Be star candidates
in the direction of the Gaia south ecliptic pole field, four of which have
infrared colours consistent with Herbig Ae/Be stars. Supervised methods are
very useful in order to obtain preliminary samples of variable stars extracted
from large databases. As usual, the stars classified as Be stars candidates
must be checked for the colours and spectroscopic characteristics expected for
them
Hidden unity in the quantum description of matter
We introduce an algebraic framework for interacting quantum systems that
enables studying complex phenomena, characterized by the coexistence and
competition of various broken symmetry states of matter. The approach unveils
the hidden unity behind seemingly unrelated physical phenomena, thus
establishing exact connections between them. This leads to the fundamental
concept of {\it universality} of physical phenomena, a general concept not
restricted to the domain of critical behavior. Key to our framework is the
concept of {\it languages} and the construction of {\it dictionaries} relating
them.Comment: 10 pages 2 psfigures. Appeared in Recent Progress in Many-Body
Theorie
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