School of Mathematical Sciences: Recent submissions
Now showing items 21-40 of 1693
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Higher-order correlations reveal complex memory in temporal hypergraphs.
(Nature Research, 2024-06-04) -
Morse Theory for the k-NN Distance Function
(arXiv, 2024)We study the k-th nearest neighbor distance function from a finite point-set in Rd. We provide a Morse theoretic framework to analyze the sub-level set topology. In particular, we present a simple combinatorial-geometric ... -
LOW-RANK EXTENDED KALMAN FILTERING FOR ONLINE LEARNING OF NEURAL NETWORKS FROM STREAMING DATA
(Proceedings of Machine Learning Research, 2023-01-01)We propose an efficient online approximate Bayesian inference algorithm for estimating the parameters of a nonlinear function from a potentially non-stationary data stream. The method is based on the extended Kalman filter ... -
First passage time analysis of spatial mutation patterns reveals sub-clonal evolutionary dynamics in colorectal cancer.
(Public Library of Science, 2023-03-13)The signature of early cancer dynamics on the spatial arrangement of tumour cells is poorly understood, and yet could encode information about how sub-clones grew within the expanding tumour. Novel methods of quantifying ... -
Network science Ising states of matter.
(American Physical Society, 2023) -
Cell migration: Beyond Brownian motion.
(2024-04-17) -
On topological bound states and secular equations for quantum-graph eigenvalues
(EMS Press, 2024)Quantum graphs without interaction which contain equilateral cycles possess “topological” bound states which do not correspond to zeros of one of the two variants of the secular equation for quantum graphs. Instead, their ... -
978-0-7503-6342-6 EPS Grand Challenges: Physics for Society in the Horizon 2050
(IOP Publishing Ltd, 2024-03-23)There are many images of science and the activities of scientists. Some would imply that science would eventually reach the limits of knowledge while others create an expectation of endless horizons. Some people would ... -
Quantum geodesic flow on the integer lattice line
(IOP Publishing Ltd, 2023)We use a recent formalism of quantum geodesics in noncommutative geometry to construct geodesic flow on the infinite chain · · · •-•-•· · ·. We find that noncommutative effects due to the discretisation of the line generically ... -
Quantum geodesics in quantum mechanics
(American Institute of Physics, 2024-01-05)We show that the standard Heisenberg algebra of quantum mechanics admits a noncommutative differential calculus Ω1 depending on the Hamiltonian p2/2m + V(x), and a flat quantum connection ∇ with torsion such that a previous ... -
Dataset: Improving Convergence of Generalised Rosenbluth Sampling for Branched Polymer Models by Uniform Sampling
(Queen Mary University of London, 2024-04-07)This data set contains the basis for the publication of "Improving Convergence of Generalised Rosenbluth Sampling for Branched Polymer Models by Uniform Sampling." The data set contains the raw simulation data used to ... -
Semilinear damped wave equations on the Heisenberg group with initial data from Sobolev spaces of negative order
(2024)In this paper, we focus on studying the Cauchy problem for semilinear damped wave equations involving the sub-Laplacian.... -
Functional inequalities on symmetric spaces of noncompact type and applications
(2024)The aim of this paper is to begin a systematic study of functional inequalities on symmetric spaces of noncompact type of higher rank. Our first main goal of this study is to establish the Stein–Weiss inequality, also known ... -
Logarithmic Sobolev inequalities on Lie groups
(2021-06-29)In this paper we show a number of logarithmic inequalities on several classes of Lie groups: log-Sobolev inequalities on general Lie groups, log-Sobolev (weighted and unweighted), log-Gagliardo–Nirenberg and log-Caffarel ...