8,292 research outputs found
Implementing the De-thinning Method for High Energy Cosmic Rays Extensive Air Shower Simulations
To simulate the interaction of cosmic rays with the Earth atmosphere requires
highly complex computational resources and several statistical techniques have
been developed to simplify those calculations. It is common to implement the
thinning algorithms to reduce the number of secondary particles by assigning
weights to representative particles in the evolution of the cascade. However,
since this is a compression method with information loss, it is required to
recover the original flux of secondary particles without introduce artificial
biases. In this work we present the preliminary results of our version of the
de-thinning algorithm for the reconstruction of thinned simulations of
extensive air showers initiated by cosmic rays and photons in the energy range
.Comment: 5 pages, 2 figures, 1 table, Proceedings X SILAFAE Medellin-2014. To
appear in Nuclear Physics B - Proceedings Supplement
Generating sequences and Poincar\'e series for a finite set of plane divisorial valuations
Let be a finite set of divisorial valuations centered at a 2-dimensional
regular local ring . In this paper we study its structure by means of the
semigroup of values, , and the multi-index graded algebra defined by ,
\gr_V R. We prove that is finitely generated and we compute its minimal
set of generators following the study of reduced curve singularities. Moreover,
we prove a unique decomposition theorem for the elements of the semigroup.
The comparison between valuations in , the approximation of a reduced
plane curve singularity by families of sets of divisorial
valuations, and the relationship between the value semigroup of and the
semigroups of the sets , allow us to obtain the (finite) minimal
generating sequences for as well as for .
We also analyze the structure of the homogeneous components of \gr_V R. The
study of their dimensions allows us to relate the Poincar\'e series for and
for a general curve of . Since the last series coincides with the
Alexander polynomial of the singularity, we can deduce a formula of A'Campo
type for the Poincar\'e series of . Moreover, the Poincar\'e series of
could be seen as the limit of the series of ,
Developing indicators to measure Technology Institutes` performance
Technology institutes (TIs) are non-profit innovation
and technology organisations aimed to
encourage competitiveness of firms. They are a
key organisation in the Spanish National Innovation
System because of their size and closeness
to the productive sector. Despite this, there is a
lack of studies trying to measure their performance
and its determinants. This work sheds some
light on this. We study the influence of operative,
financial, organisational, relational and general
variables on three measures of results: selffinance, impact and added value. Our conclusions show the relevance of this approach and are confirmed by grouping TIs according to their service supply characteristics.Publicad
Coulomb integrals and conformal blocks in the AdS3-WZNW model
We study spectral flow preserving four-point correlation functions in the
AdS3-WZNW model using the Coulomb gas method on the sphere. We present a
multiple integral realization of the conformal blocks and explicitly compute
amplitudes involving operators with quantized values of the sum of their spins,
i.e., requiring an integer number of screening charges of the first kind. The
result is given as a sum over the independent configurations of screening
contours yielding a monodromy invariant expansion in powers of the worldsheet
moduli. We then examine the factorization limit and show that the leading terms
in the sum can be identified, in the semiclassical limit, with products of
spectral flow conserving three-point functions. These terms can be rewritten as
the m-basis version of the integral expression obtained by J. Teschner from a
postulate for the operator product expansion of normalizable states in the
H3+-WZNW model. Finally, we determine the equivalence between the
factorizations of a particular set of four-point functions into products of two
three-point functions either preserving or violating spectral flow number
conservation. Based on this analysis we argue that the expression for the
amplitude as an integral over the spin of the intermediate operators holds
beyond the semiclassical regime, thus corroborating that spectral flow
conserving correlators in the AdS3-WZNW model are related by analytic
continuation to correlation functions in the H3+-WZNW model.Comment: 28 pages; references modified, published versio
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