School of Mathematical Sciences: Recent submissions
Now showing items 1-20 of 1693
-
Simultaneous predictive bands for functional time series using minimum entropy sets
Functional Time Series (FTS) are sequences of dependent random elements taking values on some functional space. Most of the research on this domain focuses on producing a predictor able to forecast the next function, having ... -
Beyond Conjugacy for Chain Event Graph Model Selection
(Elsevier, 2024-07-20)Chain event graphs are a family of probabilistic graphical models that generalise Bayesian networks and have been successfully applied to a wide range of domains. Unlike Bayesian networks, these models can encode ... -
GRFolres: A code for modified gravity simulations in strong gravity
(The Open Journal, 2024-06-08) -
New spinorial mass-quasilocal angular momentum inequality for initial data with marginally future trapped surface
(2024-04-01)We prove a new geometric inequality that relates the Arnowitt-Deser-Misner mass of initial data to a quasilocal angular momentum of a marginally outer trapped surface (MOTS) inner boundary. The inequality is expressed in ... -
The gravitational eikonal: From particle, string and brane collisions to black-hole encounters
(Elsevier, 2024-07-01)Motivated by conceptual problems in quantum theories of gravity, the gravitational eikonal approach, inspired by its electromagnetic predecessor, has been successfully applied to the transplanckian energy collisions of ... -
BMS-supertranslation charges at the critical sets of null infinity
(2024-03-01)For asymptotically flat spacetimes, a conjecture by Strominger states that asymptotic BMS-supertranslations and their associated charges at past null infinity I − can be related to those at future null infinity I + via an ... -
At the interface of asymptotics, conformal methods and analysis in general relativity.
(2024-03-04)This is an introductory article for the proceedings associated with the Royal Society Hooke discussion meeting of the same title which took place in London in May 2023. We review the history of Penrose's conformal ... -
Mass equidistribution for Saito-Kurokawa lifts
(Springer, 2024)Let F be a holomorphic cuspidal Hecke eigenform for Sp4 (Z) of weight k that is a Saito–Kurokawa lift. Assuming the Generalized Riemann Hypothesis (GRH), we prove that the mass of F equidistributes on the Siegel modular ... -
Well-posedness for a class of pseudo-differential hyperbolic equations on the torus
(Springer, 2024)In this paper we establish the well-posedness of the Cauchy problem for a class of pseudo-differential hyperbolic equations on the torus. The class considered here includes a space-like fractional order Laplacians. By ... -
Quantization of the energy for the inhomogeneous Allen–Cahn mean curvature
(2024-01-01)We consider the varifold associated to the Allen–Cahn phase transition problem in Rn+1(or n+1-dimensional Riemannian manifolds with bounded curvature) with integral Lq0 bounds on the Allen–Cahn mean curvature (first variation ... -
Complex Quantum Networks: A Topical Review
(IOP Publishing, 2024-05-24)These are exciting times for quantum physics as new quantum technologies are expected to soon transform computing at an unprecedented level. Simultaneously network science is flourishing proving an ideal mathematical and ... -
Bayesian Markov-Switching Tensor Regression for Time-Varying Networks
(Taylor & Francis, 2022-09-20)Modeling time series of multilayer network data is challenging due to the peculiar characteristics of real-world networks, such as sparsity and abrupt structural changes. Moreover, the impact of external factors on the ... -
Equality, Diversity and Inclusion in the Mathematics Community: A Perspective on Data and Policy
(Cambridge University Press, 2024-06-04)Equality, Diversity and Inclusion (EDI) questions have taken on increasing importance within the mathematics community recently and generated substantial debate. This article focuses on data collection, data analysis and ... -
Robust Inverse Regression for Multivariate Elliptical Functional Data
(Academia Sinica, Institute of Statistical Science, 2024) -
Reconstructing higher-order interactions in coupled dynamical systems
Higher-order interactions play a key role for the operation and function of a complex system. However, how to identify them is still an open problem. Here, we propose a method to fully reconstruct the structural connectivity ...