School of Mathematical Sciences: Recent submissions
Now showing items 120 of 865

RealTime Dynamics of Plasma Balls from Holography
(American Physical Society (APS), 2020)Plasma balls are droplets of deconfined plasma surrounded by a confining vacuum. We present the first holographic simulation of their realtime evolution via the dynamics of localized, finiteenergy black holes in the ... 
Large Fluctuations in Locational Marginal Prices
(Royal Society, The, 2020)This paper investigates large fluctuations of Locational Marginal Prices (LMPs) in wholesale energy markets caused by volatile renewable generation profiles. Specifically, we study events of the form ℙ(LMP∉∏ni=1[α−i,α+i]), ... 
The higherorder spectrum of simplicial complexes: a renormalization group approach
(IOP, 2020)Network topology is a flourishing interdisciplinary subject that is relevant for different disciplines including quantum gravity and brain research. The discrete topological objects that are investigated in network topology ... 
2chains: an interesting family of posets
(Elsevier, 20200523)We introduce a new family of finite posets which we call 2chains. These first arose in the study of 0Hecke algebras, but they admit a variety of different characterisations. We give these characterisations, prove that ... 
Multicritical Scaling in a Lattice Model of Vesicles
Vesicles, or closed fluctuating membranes, have been modeled in two dimensions by selfavoiding polygons, weighted with respect to their perimeter and enclosed area, with the simplest model given by areaweighted excursions. ... 
Efficient Online Computation of Visibility Graphs
(American Physical Society, 202004)A visibility algorithm maps time series into complex networks following a simple criterion. The resulting visibility graph has recently proven to be a powerful tool for time series analysis. However its straightforward ... 
Explosive higherorder Kuramoto dynamics on simplicial complexes
(American Physical Society, 2020)The higherorder interactions of complex systems, such as the brain, are captured by their simplicial complex structure and have a significant effect on dynamics. However the existing dynamical models defined on simplicial ... 
Randomly weighted dcomplexes: Minimal spanning acycles and Persistence diagrams
(The Electronic Journal of Combinatorics, 20200417)A weighted d complex is a simplicial complex of dimension d in which each face is assigned a realvalued weight. We derive three key results here concerning persistence diagrams and minimal spanning acycles (MSAs) ... 
Estimates of the severity of coronavirus disease 2019: a modelbased analysis.
(Elsevier, 20200330)BACKGROUND: In the face of rapidly changing data, a range of case fatality ratio estimates for coronavirus disease 2019 (COVID19) have been produced that differ substantially in magnitude. We aimed to provide robust ... 
Correlation for permutations
(Elsevier, 202004)In this note we investigate correlation inequalities for `upsets' of permutations, in the spirit of the HarrisKleitman inequality. We focus on two wellstudied partial orders on $S_n$, giving rise to differing notions ... 
A covariance formula for topological events of smooth Gaussian fields
(Institute of Mathematical Statistics, 2020)We derive a covariance formula for the class of `topological events' of smooth Gaussian fields on manifolds; these are events that depend only on the topology of the level sets of the field, for example (i) crossing events ... 
A second moment bound for critical points of planar Gaussian fields in shrinking height windows
(Elsevier, 202005)We consider the number of critical points of a stationary planar Gaussian field, restricted to a large domain, whose heights lie in a certain interval. Asymptotics for the mean of this quantity are simple to establish via ... 
Anderson localisation in stationary ensembles of quasiperiodic operators
(Yokohama Publishers, 2020)An ensemble of quasiperiodic discrete Schro ̈dinger operators with an arbitrary number of basic frequencies is considered, in a lattice of arbitrary dimension, in which the hull function is a realisation of a stationary ... 
Nonextensive statistical mechanics, superstatistics and beyond: theory and applications in astrophysical and other complex systems
(Springer, 202003)A brief illustration is presented about the scientific motivation and contributions of this Special Issue. 
GENERATING FUNCTIONS AND TOPOLOGICAL COMPLEXITY
(Elsevier, 2020)We examine the rationality conjecture raised in [1] which states that (a) the formal power series a rational function of x with a single pole of order 2 at x = 1 and (b) the leading coefficient of the pole equals ... 
Using Scanning Electron Microscopy and Atomic Force Microscopy to Study the Formation of Nanoparticles on Red Blood Cell Surface in Cervical Cancer Patients
(International Medical Research and Development Corporation, 20200325)Background: In this study, we used scanning electron microscopy (SEM) and atomic force microscopy (AFM) to examine the changes in morphology of red blood cells (RBCs) and to investigate the nanoparticles (NPs) found on ... 
ON A NONLOCAL PROBLEM FOR A MULTITERM FRACTIONAL DIFFUSIONWAVE EQUATION
(De Gruyter, 2020)This paper deals with the multiterm generalisation of the timefractional diffusionwave equation for general operators with discrete spectrum, as well as for positive hypoelliptic operators, with homogeneous multipoint ... 
Substitutes for the Nonexistent Square Lattice Designs for 36 Varieties
(Springer, 20200101)Square lattice designs are often used in trials of new varieties of various agricultural crops. However, there are no square lattice designs for 36 varieties in blocks of size six for four or more replicates. Here, we use ... 
Simplicial complexes: higherorder spectral dimension and dynamics
(IOP, 2020)Simplicial complexes constitute the underlying topology of interacting complex systems including among the others brain and social interaction networks. They are generalized network structures that allow to go beyond the ... 
On the standard $L$function for $GSp_{2n} \times GL_1$ and algebraicity of symmetric fourth $L$values for $GL_2$
(Springer (part of Springer Nature), 2020)We prove an explicit integral representation  involving the pullback of a suitable Siegel Eisenstein series  for the twisted standard $L$function associated to a holomorphic vectorvalued Siegel cusp form of degree ...