73 citations · 263 across the 11 of their papers we have counts for
11 papers
Tuna-AI: tuna biomass estimation with Machine Learning models trained on oceanography and echosounder FAD data
Daniel Precioso, Manuel Navarro-García, Kathryn Gavira-O'Neill +4
Echo-sounder data registered by buoys attached to drifting FADs provide a very valuable source of information on populations of tuna and their behaviour. This value increases whent…
Complete classification of rational solutions of -Painlevé systems
David Gómez-Ullate, Yves Grandati, Robert Milson
We provide a complete classification and an explicit representation of rational solutions to the fourth Painlevé equation PIV and its higher order generalizations known as the $A_{…
Exceptional Legendre Polynomials and Confluent Darboux Transformations
María Ángeles García-Ferrero, David Gómez-Ullate, Robert Milson
Exceptional orthogonal polynomials are families of orthogonal polynomials that arise as solutions of Sturm-Liouville eigenvalue problems. They generalize the classical families of…
Lectures on exceptional orthogonal polynomials and rational solutions to Painlevé equations
David Gómez-Ullate, Robert Milson
These are the lecture notes for a course on exceptional polynomials taught at the \textit{AIMS-Volkswagen Stiftung Workshop on Introduction to Orthogonal Polynomials and Applicatio…
Cyclic Maya diagrams and rational solutions of higher order Painlevé systems
Peter A. Clarkson, David Gómez-Ullate, Yves Grandati +1
This paper focuses on the construction of rational solutions for the Painlevé system, also called the Noumi-Yamada system, which are considered the higher order generaliza…
Assessing the effect of advertising expenditures upon sales: a Bayesian structural time series model
Víctor Gallego, Pablo Suárez-García, Pablo Angulo +1
We propose a robust implementation of the Nerlove--Arrow model using a Bayesian structural time series model to explain the relationship between advertising expenditures of a count…
A Bochner type classification theorem for exceptional orthogonal polynomials
M. Ángeles García-Ferrero, David Gómez-Ullate, Robert Milson
It was recently conjectured that every system of exceptional orthogonal polynomials is related to classical orthogonal polynomials by a sequence of Darboux transformations. In this…
Extended Krein-Adler theorem for the translationally shape invariant potentials
David Gómez-Ullate, Yves Grandati, Robert Milson
Considering successive extensions of primary translationally shape invariant potentials, we enlarge the Krein-Adler theorem to mixed chains of state adding and state-deleting Darbo…
Multifractality and long memory of a financial index
Pablo Suárez-García, David Gómez-Ullate
In this paper we will try to assess the multifractality displayed by the high-frequency returns of Madrid's Stock Exchange IBEX35 index. A Multifractal Detrended Fluctuation Analys…
Scaling, stability and distribution of the high-frequency returns of the IBEX35 index
Pablo Suárez-García, David Gómez-Ullate
In this paper we perform a statistical analysis of the high-frequency returns of the IBEX35 Madrid stock exchange index. We find that its probability distribution seems to be stabl…
Asymptotic behaviour of zeros of exceptional Jacobi and Laguerre polynomials
David Gómez-Ullate, Francisco Marcellán, Robert Milson
The location and asymptotic behaviour for large n of the zeros of exceptional Jacobi and Laguerre polynomials are discussed. The zeros of exceptional polynomials fall into two clas…