Department of Mathematics
Recent Submissions
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Rotational effects on exchange flows across a submerged sill
(Journal article; Peer reviewed, 2021)This paper presents new laboratory-scale numerical simulations of density-driven exchange flows generated across an idealised, submerged sill obstruction under both non-rotating and rotating frames of reference using the ... -
Hidden semi-Markov-switching quantile regression for time series
(Journal article; Peer reviewed, 2021)A hidden semi-Markov-switching quantile regression model is introduced as an extension of the hidden Markov-switching one. The proposed model allows for arbitrary sojourn-time distributions in the states of the Markov-switching ... -
Dispersive Estimates for Full Dispersion KP Equations
(Journal article; Peer reviewed, 2021)We prove several dispersive estimates for the linear part of the Full Dispersion Kadomtsev–Petviashvili introduced by David Lannes to overcome some shortcomings of the classical Kadomtsev–Petviashvili equations. The proof ... -
A mathematical justification of the momentum density function associated to the KdV equation
(Journal article; Peer reviewed, 2021)Consideration is given to the KdV equation as an approximate model for long waves of small amplitude at the free surface of an inviscid fluid. It is shown that there is an approximate momentum density associated to the KdV ... -
Optimal strategies in the Fighting Fantasy gaming system: influencing stochastic dynamics by gambling with limited resource
(Journal article; Peer reviewed, 2022)In many games and other processes, participants can choose to intervene in some way that does not follow the usual progress of the game (for example, cheating at cards, or spying on rivals) which may provide benefits, but ... -
Epistemic Uncertainty Quantification in Deep Learning by the Delta Method
(Doctoral thesis, 2022-05-16)This thesis explores the Delta method and its application to deep learning image classification. The Delta method is a classical procedure for quantifying uncertainty in statistical models, but its direct application to ... -
Nowcasting COVID-19 incidence indicators during the Italian first outbreak
(Journal article; Peer reviewed, 2021)A novel parametric regression model is proposed to fit incidence data typically collected during epidemics. The proposal is motivated by real-time monitoring and short-term forecasting of the main epidemiological indicators ... -
Consideration of measurement errors for the Norwegian common minke whale (Balaenoptera acutorostrata acutorostrata) surveys
(Journal article; Peer reviewed, 2021)A discrete measurement error model for radial distance and angle to detected objects in line transect surveys is considered. This approach directly quantifies the effect of measurement error on the estimated effective strip ... -
Continuity of Formal Power Series Products in Nonlinear Control Theory
(Journal article; Peer reviewed, 2022)Formal power series products appear in nonlinear control theory when systems modeled by Chen–Fliess series are interconnected to form new systems. In fields like adaptive control and learning systems, the coefficients of ... -
Functional inequalities on path space of sub-Riemannian manifolds and applications
(Journal article; Peer reviewed, 2021)We consider the path space of a manifold with a measure induced by a stochastic flow with an infinitesimal generator that is hypoelliptic, but not elliptic. These generators can be seen as sub-Laplacians of a sub-Riemannian ... -
Detection and quantification of CO2 seepage in seawater using the stoichiometric Cseep method: Results from a recent subsea CO2 release experiment in the North Sea
(Journal article; Peer reviewed, 2021)Carbon Capture and Storage (CCS) is a potential significant mitigation strategy to combat climate change and ocean acidification. The technology is well understood but its current implementation must be scaled up nearly ... -
Selection for biparental inheritance of mitochondria under hybridization and mitonuclear fitness interactions
(Journal article; Peer reviewed, 2021)Uniparental inheritance (UPI) of mitochondria predominates over biparental inheritance (BPI) in most eukaryotes. However, examples of BPI of mitochondria, or paternal leakage, are becoming increasingly prevalent. Most ... -
Insights from cardiopulmonary exercise testing in pediatric patients with hypertrophic cardiomyopathy
(Journal article; Peer reviewed, 2021)The usefulness of cardiopulmonary exercise test (CPET) in adult hypertrophic cardiomyopathy (HCM) patients is well-known, whereas its role in pediatric HCM patients has not yet been explored. The present study investigates ... -
The Sibling Distribution for Multivariate Life Time Data
(Journal article; Peer reviewed, 2021)A flexible class of multivariate distributions for continuous lifetimes is proposed. The distribution is defined in terms of the age-at-death of m siblings. The expression for the joint density is derived using classical ... -
On the rate of convergence of alternating minimization for non-smooth non-strongly convex optimization in Banach spaces
(Journal article; Peer reviewed, 2022)In this paper, the convergence of the fundamental alternating minimization is established for non-smooth non-strongly convex optimization problems in Banach spaces, and novel rates of convergence are provided. As objective ... -
Convergence of energy stable finite-difference schemes with interfaces
(Journal article; Peer reviewed, 2021)We extend the convergence results in Svärd and Nordström (2019) [7] for single-domain energy-stable high-order finite difference schemes, to include domains split into several grid blocks. The analysis also demonstrates ... -
The Fixed-Stress splitting scheme for Biot's equations as a modified Richardson iteration: Implications for optimal convergence
(Journal article; Peer reviewed, 2021)The fixed-stress splitting scheme is a popular method for iteratively solving the Biot equations. The method successively solves the flow and mechanics subproblems while adding a stabilizing term to the flow equation, which ... -
A minimalist model for coevolving supply and drainage networks
(Journal article; Peer reviewed, 2021)Numerous complex systems, both natural and artificial, are characterized by the presence of intertwined supply and/or drainage networks. Here, we present a minimalist model of such coevolving networks in a spatially ... -
A copula-based multivariate hidden Markov model for modelling momentum in football
(Journal article; Peer reviewed, 2021)We investigate the potential occurrence of change points—commonly referred to as “momentum shifts”—in the dynamics of football matches. For that purpose, we model minute-by-minute in-game statistics of Bundesliga matches ... -
Entropy stable boundary conditions for the Euler equations
(Journal article; Peer reviewed, 2021)We consider the initial-boundary value Euler equations with the aim to derive boundary conditions that yield an entropy bound for the physical (Navier-Stokes) entropy. We begin by reviewing the entropy bound obtained for ...
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