RECERCAT - Centre de Recerca Matemàtica
http://www.recercat.cat:80/handle/2072/199267
www.crm.esSun, 23 Feb 2014 10:33:46 GMT2014-02-23T10:33:46ZThe Channel Imagehttp://www.recercat.cat:80/bitstream/id/53846/
http://www.recercat.cat:80/handle/2072/199267
Statistical similarity between the compression of a porous material and earthquakes
http://www.recercat.cat:80/handle/2072/205476
Statistical similarity between the compression of a porous material and earthquakes
Baró, Jordi; Corral, Álvaro; Illa Vila, Xavier; Planes Vila, Antoni; Salje, Ekhard K. H.; Schranz, Wilfried; Soto-Parra, Daniel; Vives i Santa-Eulàlia, Eduard
It has been long stated that there are profound analogies between
fracture experiments and earthquakes; however, few works attempt a
complete characterization of the parallelisms between these so separate
phenomena. We study the Acoustic Emission events produced during the
compression of Vycor (SiO&sub&2&/sub&). The Gutenberg-Richter law, the modified
Omori's law, and the law of aftershock productivity hold
for a minimum of 5 decades, are independent of the compression rate, and
keep stationary for all the duration of the experiments. The
waiting-time distribution fulfills a unified scaling law with a
power-law exponent close to 2.45 for long times, which is explained in
terms of the temporal variations of the activity rate.
Thu, 01 Nov 2012 00:00:00 GMThttp://www.recercat.cat:80/handle/2072/2054762012-11-01T00:00:00ZStochastic optimal bid to electricity markets with environmental risk constraints
http://www.recercat.cat:80/handle/2072/206198
Stochastic optimal bid to electricity markets with environmental risk constraints
Cifuentes Rubiano, Julián
There are many factors that influence the day-ahead market bidding strategies of a generation company
(GenCo) in the current energy market framework. Environmental policy issues have become
more and more important for fossil-fuelled power plants and they have to be considered in their management,
giving rise to emission limitations. This work allows to investigate the influence of both
the allowances and emission reduction plan, and the incorporation of the derivatives medium-term
commitments in the optimal generation bidding strategy to the day-ahead electricity market. Two
different technologies have been considered: the coal thermal units, high-emission technology, and
the combined cycle gas turbine units, low-emission technology. The Iberian Electricity Market and
the Spanish National Emissions and Allocation Plans are the framework to deal with the environmental
issues in the day-ahead market bidding strategies. To address emission limitations, some of
the standard risk management methodologies developed for financial markets, such as Value-at-Risk
(VaR) and Conditional Value-at-Risk (CVaR), have been extended. This study offers to electricity
generation utilities a mathematical model to determinate the individual optimal generation bid to the
wholesale electricity market, for each one of their generation units that maximizes the long-run profits
of the utility abiding by the Iberian Electricity Market rules, the environmental restrictions set by
the EU Emission Trading Scheme, as well as the restrictions set by the Spanish National Emissions
Reduction Plan. The economic implications for a GenCo of including the environmental restrictions
of these National Plans are analyzed and the most remarkable results will be presented.
Thu, 01 Nov 2012 00:00:00 GMThttp://www.recercat.cat:80/handle/2072/2061982012-11-01T00:00:00ZEquidistribution estimates for Fekete points on complex manifolds
http://www.recercat.cat:80/handle/2072/206096
Equidistribution estimates for Fekete points on complex manifolds
Lev, Nir; Ortega Cerdà, Joaquim
We study the equidistribution of Fekete points in a compact complex manifold.
These are extremal point configurations defined through sections of powers of a
positive line bundle. Their equidistribution is a known result. The novelty of
our approach is that we relate them to the problem of sampling and
interpolation on line bundles, which allows us to estimate the equidistribution
of the Fekete points quantitatively. In particular we estimate the
Kantorovich-Wasserstein distance of the Fekete points to its limiting measure.
The sampling and
interpolation arrays on line bundles are a subject of independent interest,
and we provide necessary density conditions through the classical approach of
Landau, that in this context measures the local dimension of the space of
sections of the line bundle. We obtain a complete geometric characterization of
sampling and interpolation arrays in the case of compact manifolds of
dimension one, and we prove that there are no arrays of both sampling and
interpolation in the more general setting of semipositive line bundles.
Thu, 01 Nov 2012 00:00:00 GMThttp://www.recercat.cat:80/handle/2072/2060962012-11-01T00:00:00ZKuranishi type Moduli Spaces for proper CR submersions fibering over the circle
http://www.recercat.cat:80/handle/2072/206095
Kuranishi type Moduli Spaces for proper CR submersions fibering over the circle
Meersseman, Laurent
Kuranishi's fundamental result (1962) associates to
any compact complex manifold X&sub&0&/sub& a finite-dimensional analytic
space which has to be thought of as a local moduli space of complex
structures close to X&sub&0&/sub&. In this paper, we give an analogous
statement for Levi-flat CR manifolds fibering properly over the
circle by describing explicitely an infinite-dimensional Kuranishi
type local moduli space of Levi-flat CR structures. We interpret
this result in terms of Kodaira-Spencer deformation theory making
clear the likenesses as well as the differences with the classical
case. The article ends with applications and examples.
Mon, 01 Oct 2012 00:00:00 GMThttp://www.recercat.cat:80/handle/2072/2060952012-10-01T00:00:00ZNormal forms, stability and splitting of invariant manifolds II. Finitely differentiable Hamiltonians
http://www.recercat.cat:80/handle/2072/206094
Normal forms, stability and splitting of invariant manifolds II. Finitely differentiable Hamiltonians
Bounemoura, Abed
This paper is a sequel to ``Normal forms, stability and splitting of invariant manifolds I. Gevrey Hamiltonians", in which we gave a new construction of resonant normal forms with an exponentially small remainder for near-integrable Gevrey Hamiltonians at a quasi-periodic frequency, using a method of periodic approximations. In this second part we focus on finitely differentiable Hamiltonians, and we derive normal forms with a polynomially small remainder. As applications, we obtain a polynomially large upper bound on the stability time for the evolution of the action variables and a polynomially small upper bound on the splitting of invariant manifolds for hyperbolic tori.
Sat, 01 Dec 2012 00:00:00 GMThttp://www.recercat.cat:80/handle/2072/2060942012-12-01T00:00:00ZNormal forms, stability and splitting of invariant manifolds I. Gevrey Hamiltonians
http://www.recercat.cat:80/handle/2072/206093
Normal forms, stability and splitting of invariant manifolds I. Gevrey Hamiltonians
Bounemoura, Abed
In this paper, we give a new construction of resonant normal forms with a small remainder for near-integrable Hamiltonians at a quasi-periodic frequency. The construction is based on the special case of a periodic frequency, a Diophantine result concerning the approximation of a vector by independent periodic vectors and a technique of composition of periodic averaging. It enables us to deal with non-analytic Hamiltonians, and in this first part we will focus on Gevrey Hamiltonians and derive normal forms with an exponentially small remainder. This extends a result which was known for analytic Hamiltonians, and only in the periodic case for Gevrey Hamiltonians. As applications, we obtain an exponentially large upper bound on the stability time for the evolution of the action variables and an exponentially small upper bound on the splitting of invariant manifolds for hyperbolic tori, generalizing corresponding results for analytic Hamiltonians.
Sat, 01 Dec 2012 00:00:00 GMThttp://www.recercat.cat:80/handle/2072/2060932012-12-01T00:00:00ZHolomorphic maps between moduli spaces
http://www.recercat.cat:80/handle/2072/206092
Holomorphic maps between moduli spaces
Aramayona, Javier; Souto, Juan A.
We prove that every non-constant holomorphic map&em&M&/em&&sub&g,p&/sub&→ &em&M&/em&&sub& g',p'&/sub& between moduli spaces of Riemann surfaces is a forgetful map, provided that g ≥ 6 and g' ≤ 2g-2.
Sat, 01 Dec 2012 00:00:00 GMThttp://www.recercat.cat:80/handle/2072/2060922012-12-01T00:00:00ZRigidity phenomena in the mapping class group
http://www.recercat.cat:80/handle/2072/206091
Rigidity phenomena in the mapping class group
Aramayona, Javier; Souto, Juan A
Sat, 01 Dec 2012 00:00:00 GMThttp://www.recercat.cat:80/handle/2072/2060912012-12-01T00:00:00ZVariétés CR polarisées et G-polarisées, partie I
http://www.recercat.cat:80/handle/2072/206090
Variétés CR polarisées et G-polarisées, partie I
Meersseman, Laurent
Polarized and G-polarized CR manifolds are smooth manifolds endowed with a double structure: a real foliation &em&F&/em& (given by the action of a Lie group G in the G-polarized case) and a transverse CR distribution. Polarized means that (E,J) is roughly speaking invariant by&em&F&/em&. Both structures are therefore linked up. The interplay between them gives to polarized CR-manifolds a very rich geometry.
In this paper, we study the properties of polarized and G-polarized manifolds, putting special emphasis on their deformations.
Sat, 01 Dec 2012 00:00:00 GMThttp://www.recercat.cat:80/handle/2072/2060902012-12-01T00:00:00ZModelling the cardiovascular system for automatic interpretation of the blood pressure curve
http://www.recercat.cat:80/handle/2072/205953
Modelling the cardiovascular system for automatic interpretation of the blood pressure curve
Myers, Timothy; Sáez de Tejada, Anna; McGuinness, Mark J.; Mitchell, Sarah L.; Ribas Ripoll, Vicent Jordi
A four compartment model of the cardiovascular system is developed. To allow for easy interpretation and to minimise the number of parameters, an effort was made to keep the model as simple as possible. A sensitivity analysis is first carried out to determine which are the most important model parameters to characterise the blood pressure signal. A four stage process is then described which accurately determines all parameter values. This process is applied to data from three patients and good agreement is shown in all cases.
Sat, 01 Dec 2012 00:00:00 GMThttp://www.recercat.cat:80/handle/2072/2059532012-12-01T00:00:00ZOn concentrators and related approximation constants
http://www.recercat.cat:80/handle/2072/205485
On concentrators and related approximation constants
Bondarenko, Andriy; Prymak, A; Radchenko, Danylo
Pippenger [Pi77] showed the existence of
(6m,4m,3m,6)-concentrator for each positive integer m
using a probabilistic method. We generalize his approach and prove
existence of (6m,4m,3m,5.05)-concentrator (which is no longer
regular, but has fewer edges). We apply this result to improve the
constant of approximation of almost additive set functions by
additive set functions from 44.5 (established by Kalton and
Roberts in [KaRo83] to 39. We show a more direct connection
of the latter problem to the Whitney type estimate for approximation
of continuous functions on a cube in &b&R&/b&&sup&d&/sup& by linear functions, and
improve the estimate of this Whitney constant from 802 (proved by
Brudnyi and Kalton in [BrKa00] to 73.
Sat, 01 Dec 2012 00:00:00 GMThttp://www.recercat.cat:80/handle/2072/2054852012-12-01T00:00:00ZOne-dimensional solidification of supercooled melts
http://www.recercat.cat:80/handle/2072/205484
One-dimensional solidification of supercooled melts
Font Martínez, Francesc; Myers, T. G.; Mittchell, Sara L.
In this paper a one-phase supercooled Stefan problem, with a nonlinear relation between the phase change temperature and front velocity, is analysed. The model with the standard linear approximation, valid for small supercooling, is first examined asymptotically. The nonlinear case is more difficult to analyse and only two simple asymptotic results are found. Then, we apply an accurate heat balance integral method to make further progress.
Finally, we compare the results found against numerical solutions. The results show that for large supercooling the linear model may be highly inaccurate and even qualitatively incorrect. Similarly as the Stefan number β → 1&sup&+&/sup& the classic Neumann solution which exists down to β =1 is far from the linear and nonlinear supercooled solutions and can significantly overpredict the solidification rate.
Tue, 04 Dec 2012 00:00:00 GMThttp://www.recercat.cat:80/handle/2072/2054842012-12-04T00:00:00ZFeuilletages par variétés complexes et problèmes d'uniformisation
http://www.recercat.cat:80/handle/2072/205482
Feuilletages par variétés complexes et problèmes d'uniformisation
Meersseman, Laurent
Ce texte est une introduction aux feuilletages par variétés
complexes et aux problèmes d'uniformisation de tels feuilletages.
Nous donnons en introduction une liste fondamentale de questions
naturelles sur ces objets ainsi qu'un aperçcu des résultats
connus.
Thu, 01 Nov 2012 00:00:00 GMThttp://www.recercat.cat:80/handle/2072/2054822012-11-01T00:00:00ZTenseness of Riemannian flows
http://www.recercat.cat:80/handle/2072/205479
Tenseness of Riemannian flows
Nozawa, Hiraku; Royo Prieto, José Ignacio
We show that any transversally complete Riemannian foliation &em&F&/em& of dimension one on any possibly non-compact manifold M is tense; namely, (M,&em&F&/em&) admits a Riemannian metric such that the mean curvature form of &em&F&/em& is basic. This is a partial generalization of a result of Domínguez, which says that any Riemannian foliation on any compact manifold is tense. Our proof is based on some results of Molino and Sergiescu, and it is simpler than the original proof by Domínguez. As an application, we generalize some well known results including Masa's characterization of tautness.
Thu, 01 Nov 2012 00:00:00 GMThttp://www.recercat.cat:80/handle/2072/2054792012-11-01T00:00:00ZFolner sequences and finite operators
http://www.recercat.cat:80/handle/2072/204756
Folner sequences and finite operators
Yakubovich, Dmitry V.; Lledó, Fernando,1967-
This article analyzes Folner sequences of projections for bounded linear operators
and their relationship
to the class of finite operators introduced by Williams in the 70ies.
We prove that each essentially hyponormal operator has a proper Folner sequence
(i.e. a Folner sequence of projections strongly converging to 1).
In particular, any quasinormal, any subnormal, any hyponormal and any
essentially normal operator has a proper Folner sequence.
Moreover, we show that an operator is finite if and only if it has a
proper Folner sequence
or if it has a non-trivial finite dimensional reducing subspace.
We also analyze the structure of operators which have
no Folner sequence and give examples of them. For this analysis we
introduce the notion of strongly non-Folner operators,
which are far from finite block reducible operators, in some uniform sense,
and show that this class coincides with the class of non-finite operators.
Mon, 01 Oct 2012 00:00:00 GMThttp://www.recercat.cat:80/handle/2072/2047562012-10-01T00:00:00ZStability of cascade networks via fluid models
http://www.recercat.cat:80/handle/2072/204699
Stability of cascade networks via fluid models
Delgado de la Torre, Rosario; Morozov, Evsey
Vegeu el resum a l'inici del document de l'arxiu adjunt
Mon, 01 Oct 2012 00:00:00 GMThttp://www.recercat.cat:80/handle/2072/2046992012-10-01T00:00:00ZAn energy preserving discontinouous Galerkin method for Vlasov-Poisson system
http://www.recercat.cat:80/handle/2072/204697
An energy preserving discontinouous Galerkin method for Vlasov-Poisson system
Hajian, Soheil
Vegeu el resum a l'inici del document de l'arxiu adjunt
Thu, 01 Sep 2011 00:00:00 GMThttp://www.recercat.cat:80/handle/2072/2046972011-09-01T00:00:00ZYoung Set Theory Workshop : Centre de Recerca Matemàtica, 14-18 April 2009
http://www.recercat.cat:80/handle/2072/204696
Young Set Theory Workshop : Centre de Recerca Matemàtica, 14-18 April 2009
Young Set Theory Workshop (2009 : Bellaterra, Catalunya)
Wed, 01 Feb 2012 00:00:00 GMThttp://www.recercat.cat:80/handle/2072/2046962012-02-01T00:00:00ZSemi-analytical implementation for the name concentration measurement in a credit portfolio
http://www.recercat.cat:80/handle/2072/204381
Semi-analytical implementation for the name concentration measurement in a credit portfolio
Álvarez Jordan, Sandra
Fri, 01 Jun 2012 00:00:00 GMThttp://www.recercat.cat:80/handle/2072/2043812012-06-01T00:00:00ZGrups d'Estudi de Matemàtica i Tecnologia : Barcelona, July 2010
http://www.recercat.cat:80/handle/2072/204380
Grups d'Estudi de Matemàtica i Tecnologia : Barcelona, July 2010
Grups d'Estudi de Matemàtica i Tecnologia (2010 : Barcelona, Catalunya)
Thu, 01 Mar 2012 00:00:00 GMThttp://www.recercat.cat:80/handle/2072/2043802012-03-01T00:00:00ZSchwarz methods for a preconditioned WOPSIP method for elliptic problems
http://www.recercat.cat:80/handle/2072/204379
Schwarz methods for a preconditioned WOPSIP method for elliptic problems
Antonietti, Paola F.; Ayuso, B.; Brenner, Susanne C.; Sung, Li-Yeng
We construct and analyze non-overlapping Schwarz methods for a preconditioned weakly over-penalized symmetric interior penalty (WOPSIP) method for elliptic problems.
Sat, 01 Jan 2011 00:00:00 GMThttp://www.recercat.cat:80/handle/2072/2043792011-01-01T00:00:00ZClustering algorithms for anti-money laundering using graph theory and social network analysis
http://www.recercat.cat:80/handle/2072/203891
Clustering algorithms for anti-money laundering using graph theory and social network analysis
Awasthi, Abhishek
HEMOLIA (a project under European community’s 7th framework programme) is a new generation Anti-Money Laundering (AML) intelligent multi-agent alert and investigation system which in addition to the traditional financial data makes extensive use of modern society’s huge telecom data source, thereby opening up a new dimension of capabilities to all Money Laundering fighters (FIUs, LEAs) and Financial Institutes (Banks, Insurance Companies, etc.). This Master-Thesis project is done at AIA, one of the partners for the HEMOLIA project in Barcelona. The objective of this thesis is to find the clusters in a network drawn by using the financial data. An extensive literature survey has been carried out and several standard algorithms related to networks have been studied and implemented. The clustering problem is a NP-hard problem and several algorithms like K-Means and Hierarchical clustering are being implemented for studying several problems relating to sociology, evolution, anthropology etc. However, these algorithms have certain drawbacks which make them very difficult to implement. The thesis suggests (a) a possible improvement to the K-Means algorithm, (b) a novel approach to the clustering problem using the Genetic Algorithms and (c) a new algorithm for finding the cluster of a node using the Genetic Algorithm.
Fri, 01 Jan 2010 00:00:00 GMThttp://www.recercat.cat:80/handle/2072/2038912010-01-01T00:00:00ZModelling of non-linear viscoelastic tissues with bar elements
http://www.recercat.cat:80/handle/2072/203890
Modelling of non-linear viscoelastic tissues with bar elements
Asadipour, Nina
In this work we develop a viscoelastic bar element that can handle multiple rheo-
logical laws with non-linear elastic and non-linear viscous material models. The
bar element is built by joining in series an elastic and viscous bar, constraining
the middle node position to the bar axis with a reduction method, and stati-
cally condensing the internal degrees of freedom. We apply the methodology
to the modelling of reversible softening with sti ness recovery both in 2D and
3D, a phenomenology also experimentally observed during stretching cycles on
epithelial lung cell monolayers.
Sun, 01 Apr 2012 00:00:00 GMThttp://www.recercat.cat:80/handle/2072/2038902012-04-01T00:00:00ZDisipación y energía de los ciclones tropicales: ajustes y test de bondad de ajuste
http://www.recercat.cat:80/handle/2072/203888
Disipación y energía de los ciclones tropicales: ajustes y test de bondad de ajuste
Planes, Oliver
Sat, 01 Sep 2012 00:00:00 GMThttp://www.recercat.cat:80/handle/2072/2038882012-09-01T00:00:00ZBayesian network studies for splicing regulatory elements
http://www.recercat.cat:80/handle/2072/203881
Bayesian network studies for splicing regulatory elements
Kedzierska, Anna Magdalena
Tue, 01 Jan 2008 00:00:00 GMThttp://www.recercat.cat:80/handle/2072/2038812008-01-01T00:00:00ZProbability distribution of the radionuclide half-lives
http://www.recercat.cat:80/handle/2072/203880
Probability distribution of the radionuclide half-lives
Font Martínez, Francesc
Power law distributions, a well-known model in the theory of real random
variables, characterize a wide variety of natural and man made phenomena.
The intensity of earthquakes, the word frequencies, the solar
ares and the
sizes of power outages are distributed according to a power law distribution.
Recently, given the usage of power laws in the scientific community, several
articles have been published criticizing the statistical methods used to estimate
the power law behaviour and establishing new techniques to their estimation
with proven reliability.
The main object of the present study is to go in deep understanding of
this kind of distribution and its analysis, and introduce the half-lives of the
radioactive isotopes as a new candidate in the nature following a power law
distribution, as well as a \canonical laboratory" to test statistical methods
appropriate for long-tailed distributions.
Fri, 01 Jan 2010 00:00:00 GMThttp://www.recercat.cat:80/handle/2072/2038802010-01-01T00:00:00ZMathematical modeling and analysis of the interaction of populations of bacteria and bacteriophages within chicken intestine
http://www.recercat.cat:80/handle/2072/203879
Mathematical modeling and analysis of the interaction of populations of bacteria and bacteriophages within chicken intestine
Zafar, Sundus
Vegeu el resum a l'inici del document de l'arxiu adjunt
Tue, 01 Sep 2009 00:00:00 GMThttp://www.recercat.cat:80/handle/2072/2038792009-09-01T00:00:00ZStudy and implementation of some quantitative trading models
http://www.recercat.cat:80/handle/2072/203878
Study and implementation of some quantitative trading models
Sánchez López, Emiliano
Quantitative or algorithmic trading is the automatization of investments
decisions obeying a fixed or dynamic sets of rules to determine
trading orders. It has increasingly made its way up to 70% of the trading
volume of one of the biggest financial markets such as the New York
Stock Exchange (NYSE). However, there is not a signi cant amount of
academic literature devoted to it due to the private nature of investment
banks and hedge funds.
This projects aims to review the literature and discuss the models available
in a subject that publications are scarce and infrequently. We
review the basic and fundamental mathematical concepts needed for
modeling financial markets such as: stochastic processes, stochastic integration
and basic models for prices and spreads dynamics necessary
for building quantitative strategies. We also contrast these models with
real market data with minutely sampling frequency from the Dow Jones
Industrial Average (DJIA).
Quantitative strategies try to exploit two types of behavior: trend
following or mean reversion. The former is grouped in the so-called
technical models and the later in the so-called pairs trading. Technical
models have been discarded by financial theoreticians but we show
that they can be properly cast into a well defined scientific predictor
if the signal generated by them pass the test of being a Markov time.
That is, we can tell if the signal has occurred or not by examining the
information up to the current time; or more technically, if the event
is F_t-measurable. On the other hand the concept of pairs trading or
market neutral strategy is fairly simple. However it can be cast in a variety
of mathematical models ranging from a method based on a simple
euclidean distance, in a co-integration framework or involving stochastic
differential equations such as the well-known Ornstein-Uhlenbeck
mean reversal ODE and its variations.
A model for forecasting any economic or financial magnitude could be
properly defined with scientific rigor but it could also lack of any economical
value and be considered useless from a practical point of view.
This is why this project could not be complete without a backtesting
of the mentioned strategies.
Conducting a useful and realistic backtesting is by no means a trivial
exercise since the \laws" that govern financial markets are constantly
evolving in time. This is the reason because we make emphasis in
the calibration process of the strategies' parameters to adapt the given
market conditions.
We find out that the parameters from technical models are more volatile
than their counterpart form market neutral strategies and calibration
must be done in a high-frequency sampling manner to constantly track
the currently market situation.
As a whole, the goal of this project is to provide an overview of a
quantitative approach to investment reviewing basic strategies and illustrating
them by means of a back-testing with real financial market
data.
The sources of the data used in this project are Bloomberg for intraday
time series and Yahoo! for daily prices. All numeric computations
and graphics used and shown in this project were implemented
in MATLAB^R
scratch from scratch as a part of this thesis. No other
mathematical or statistical software was used.
Wed, 01 Jun 2011 00:00:00 GMThttp://www.recercat.cat:80/handle/2072/2038782011-06-01T00:00:00ZGrups d'Estudi de Matemàtica i Tecnologia : Barcelona, July 2009
http://www.recercat.cat:80/handle/2072/203825
Grups d'Estudi de Matemàtica i Tecnologia : Barcelona, July 2009
Grups d'Estudi de Matemàtica i Tecnologia (2009 : Barcelona, Catalunya)
Fri, 01 Jan 2010 00:00:00 GMThttp://www.recercat.cat:80/handle/2072/2038252010-01-01T00:00:00ZParametrization of spectral surfaces of a class of periodic 5-diagonal matrices
http://www.recercat.cat:80/handle/2072/203824
Parametrization of spectral surfaces of a class of periodic 5-diagonal matrices
Moale, Ionela; Yuditskii, Peter
The main result of this work is a parametric description of the spectral surfaces of a class of periodic 5-diagonal matrices, related to the strong moment problem. This class is a self-adjoint twin of the class of CMV matrices. Jointly they form the simplest possible classes of 5-diagonal matrices.
Sat, 01 Jan 2011 00:00:00 GMThttp://www.recercat.cat:80/handle/2072/2038242011-01-01T00:00:00Z