349 citations · 1.5k across the 35 of their papers we have counts for
37 papers
BERS: Locally Optimal Continuous Algorithm for Maritime Weather Routing with Just-in-Time Arrival
Daniel Precioso, Francisco Suárez, Javier Jiménez de la Jara +2
Maritime weather routing must optimize route geometry under dynamic wind-wave conditions, obstacle constraints, and fixed-arrival requirements. We present Bézier Evolve and Refine…
Classification of exceptional Jacobi polynomials
Maria Angeles Garcia-Ferrero, David Gomez-Ullate, Robert Milson
We provide a full classification scheme for exceptional Jacobi operators and polynomials. The classification contains six degeneracy classes according to whether or a…
Hybrid Search method for Zermelo's navigation problem
Daniel Precioso, Robert Milson, Louis Bu +2
In this paper, we present a novel algorithm called the Hybrid Search algorithm that integrates the Zermelo's Navigation Initial Value Problem with the Ferraro-Martín de Diego-Almag…
How do tuna schools associate to dFADs? A study using echo-sounder buoys to identify global patterns
Manuel Navarro-García, Daniel Precioso, Kathryn Gavira-O'Neill +4
Based on the data gathered by echo-sounder buoys attached to drifting Fish Aggregating Devices (dFADs) across tropical oceans, the current study applies a Machine Learning protocol…
Exceptional Gegenbauer polynomials via isospectral deformation
María~Ángeles García-Ferrero, David Gómez-Ullate, Robert Milson +1
We show a method to construct isospectral deformations of classical orthogonal polynomials. The construction is based on confluent Darboux transformations, and it allows to constru…
Spectral Theory of Exceptional Hermite Polynomials
David Gomez-Ullate, Yves Grandati, Robert Milson
In this paper we revisit exceptional Hermite polynomials from the point of view of spectral theory, following the work initiated by Lance Littlejohn. Adapting a result of Deift, we…
NILM as a regression versus classification problem: the importance of thresholding
Daniel Precioso, David Gómez-Ullate
Non-Intrusive Load Monitoring (NILM) aims to predict the status or consumption of domestic appliances in a household only by knowing the aggregated power load. NILM can be formulat…
Rational solutions of Painleve systems
David Gomez-Ullate, Yves Grandati, Robert Milson
Although the solutions of Painlevé equations are transcendental in the sense that they cannot be expressed in terms of known elementary functions, there do exist rational solutions…
Corrigendum on the proof of completeness for exceptional Hermite polynomials
David Gomez-Ullate, Yves Grandati, Robert Milson
Exceptional orthogonal polynomials are complete families of orthogonal polynomials that arise as eigenfunctions of a Sturm-Liouville problem. Antonio Durán discovered a gap in the…
Ladder operators and rational extensions
David Gomez-Ullate, Yves Grandati, Zoe McIntyre +1
This note presents the classification of ladder operators corresponding to the class of rational extensions of the harmonic oscillator. We show that it is natural to endow the clas…
Opponent Aware Reinforcement Learning
Victor Gallego, Roi Naveiro, David Rios Insua +1
In certain reinforcement learning (RL) scenarios there are adversaries trying to interfere with the underlying reward process for their own benefit. We introduce Threatened Markov…
Rational solutions of dressing chains and higher order Painleve equations
D. Gomez-Ullate, Y. Grandati, S. Lombardo +1
We present a new approach to determine the rational solutions of the higher order Painleve equations associated to periodic dressing chain systems. We obtain new sets of solutions,…
Shape invariance and equivalence relations for pseudowronskians of Laguerre and Jacobi polynomials
David Gomez-Ullate, Yves Grandati, Robert Milson
In a previous paper we derived equivalence relations for pseudo-Wronskian determinants of Hermite polynomials. In this paper we obtain the analogous result for Laguerre and Jacobi…
Durfee rectangles and pseudo-Wronskian equivalences for Hermite polynomials
David Gomez-Ullate, Yves Grandati, Robert Milson
We study an equivalence class of iterated rational Darboux transformations applied on the harmonic oscillator, showing that many choices of state adding and state deleting transfor…
Recurrence Relations for Exceptional Hermite Polynomials
D. Gomez-Ullate, A. Kasman, A. B. J. Kuijlaars +1
The bispectral anti-isomorphism is applied to differential operators involving elements of the stabilizer ring to produce explicit formulas for all difference operators having any…
Limits on the performance of Infotaxis under inaccurate modelling of the environment
Juan Duque Rodríguez, David Gómez-Ullate, Carlos Mejía-Monasterio
We study the performance of infotaxis search strategy measured by the rate of success and mean search time, under changes in the environment parameters such as diffusivity, rate of…
Oscillation theorems for the Wronskian of an arbitrary sequence of eigenfunctions of Schrödinger's equation
M. Ángeles García-Ferrero, David Gómez-Ullate
The work of Adler provides necessary and sufficient conditions for the Wronskian of a given sequence of eigenfunctions of Schrödinger's equation to have constant sign in its domain…
Geometry-induced fluctuations of olfactory searches in bounded domains
Juan Duque-Rodríguez, David Gómez-Ullate, Carlos Mejía-Monasterio
In olfactory search an immobile target emits chemical molecules at constant rate. The molecules are transported by the medium which is assumed to be turbulent. Considering a search…
Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials
David Gomez-Ullate, Yves Grandati, Robert Milson
We prove that every rational extension of the quantum harmonic oscillator that is exactly solvable by polynomials is monodromy free, and therefore can be obtained by applying a fin…
A New Class of Solvable Many-Body Problems
Francesco Calogero, Ge Yi
A new class of solvable -body problems is identified. They describe unit-mass point particles whose time-evolution, generally taking place in the complex plane, is character…
A conjecture on Exceptional Orthogonal Polynomials
David Gomez-Ullate, Niky Kamran, Robert Milson
Exceptional orthogonal polynomial systems (X-OPS) arise as eigenfunctions of Sturm-Liouville problems and generalize in this sense the classical families of Hermite, Laguerre and J…
Understanding complex dynamics by means of an associated Riemann surface
David Gomez-Ullate, Paolo Santini, Matteo Sommacal +1
We provide an example of how the complex dynamics of a recently introduced model can be understood via a detailed analysis of its associated Riemann surface. Thanks to this geometr…
Two-step Darboux transformations and exceptional Laguerre polynomials
David Gomez-Ullate, Niky Kamran, Robert Milson
It has been recently discovered that exceptional families of Sturm-Liouville orthogonal polynomials exist, that generalize in some sense the classical polynomials of Hermite, Lague…
On orthogonal polynomials spanning a non-standard flag
David Gomez-Ullate, Niky Kamran, Robert Milson
We survey some recent developments in the theory of orthogonal polynomials defined by differential equations. The key finding is that there exist orthogonal polynomials defined by…