School of Mathematical Sciences: Recent submissions
Now showing items 120 of 1001

Ddimensional oscillators in simplicial structures: odd and even dimensions display different synchronization scenarios
(Elsevier, 20210404)From biology to social science, the functioning of a wide range of systems is the result of elementary interactions which involve more than two constituents, so that their description has unavoidably to go beyond simple ... 
Cauchy evolution of asymptotically global AdS spacetimes with no symmetries
(American Physical Society (APS), 202102)We present the first proofofprinciple Cauchy evolutions of asymptotically global anti–de Sitter (AdS) spacetimes with no imposed symmetries, employing a numerical scheme based on the generalized harmonic form of the ... 
A Gravitationalwave Measurement of the Hubble Constant Following the Second Observing Run of Advanced LIGO and Virgo
(American Astronomical Society, 202103)This paper presents the gravitationalwave measurement of the Hubble constant (H0) using the detections from the first and second observing runs of the Advanced LIGO and Virgo detector network. The presence of the transient ... 
A robust information life cycle management framework for securing and governing critical infrastructure systems
(MDPI, 20181201)In modern societies, the rampant growth of the Internet, both on the technological and social level, has created fertile ground for the emergence of new types of risk. On top of that, it enhances preexisting threats by ... 
New code for equilibriums and quasiequilibrium initial data of compact objects. IV. Rotating relativistic stars with mixed poloidal and toroidal magnetic fields
(American Physical Society, 20191219)A new code for computing fully general relativistic solutions of strongly magnetized rapidly rotating compact stars is developed as a part of the Compact Object CALculator (cocal) code. The full set of Einstein’s equations, ... 
Weyl Double Copy for Gravitational Waves
(American Physical Society (APS), 202103)We establish the status of the Weyl double copy relation for radiative solutions of the vacuum Einstein equations. We show that all type N vacuum solutions, which describe the radiation region of isolated gravitational ... 
The Rado simplicial complex
(Springer, 2021)In this paper we study a remarkable simplicial complex X on countably many vertexes. X is universal in the sense that any count able simplicial complex is an induced subcomplex of X. Additionally, X is homogeneous, i.e. ... 
Topology of parametrised motion planning algorithms
(Society for Industrial and Applied Mathematics, 2021)We introduce and study a new concept of parameterised topological complexity, a topological invariant motivated by the motion planning problem of robotics. In the parametrised setting, a motion planning algorithm has high ... 
Random surfaces with boundary
(Springer (part of Springer Nature), 2021)A surface with boundary is randomly generated by gluing polygons along some of their sides. We show that its genus and number of boundary components asymptotically follow a bivariate normal distribution. 
Reverse integral Hardy inequality on metric measure spaces
(Academia Scientiarum Fennica, 2021)In this note, we obtain a reverse version of the integral Hardy inequality on metric measure spaces. Moreover, we give necessary and sufficient conditions for the weighted reverse Hardy inequality to be true. The main tool ... 
Eigenfunction expansions of ultradifferentiable functions and ultradistributions. III. Hilbert spaces and Universality
(Springer, 202103)In this paper we analyse the structure of the spaces of smooth type functions, generated by elements of arbitrary Hilbert spaces, as a continuation of the research in our previous papers in this series. We prove that these ... 
Polynomialtime approximation algorithms for the antiferromagnetic Ising model on line graphs
(Cambridge University Press (CUP), 20210412)We present a polynomialtime Markov chain Monte Carlo algorithm for estimating the partition function of the antiferromagnetic Ising model on any line graph. The analysis of the algorithm exploits the "winding'" technology ... 
Matter imprints in waveform models for neutron star binaries: Tidal and selfspin effects
(American Physical Society, 20190118) 
HamiltonJacobi hydrodynamics of pulsating relativistic stars
(IOP Publishing, 20200806)The dynamics of selfgravitating fluid bodies is described by the Euler–Einstein system of partial differential equations. The breakdown of wellposedness on the fluid–vacuum interface remains a challenging open problem, ... 
Parametrized equation of state for neutron star matter with continuous sound speed
(American Physical Society, 20201026)We present a generalized piecewise polytropic parametrization for the neutronstar equation of state using an ansatz that imposes continuity in not only pressure and energy density, but also in the speed of sound. The ... 
Allsky search in early O3 LIGO data for continuous gravitationalwave signals from unknown neutron stars in binary systems
(American Physical Society, 20210312)Rapidly spinning neutron stars are promising sources of continuous gravitational waves. Detecting such a signal would allow probing of the physical properties of matter under extreme conditions. A significant fraction of ... 
An improved bound for the rigidity of linearly constrained frameworks
(Society for Industrial and Applied Mathematics, 2021)We consider the problem of characterising the generic rigidity of barjoint frameworks in Rd in which each vertex is constrained to lie in a given a ne subspace. The special case when d = 2 was previously solved by I. ... 
The Size of the Giant Joint Component in a Binomial Random Double Graph
(The Electronic Journal of Combinatorics, 202102)We study the joint components in a random 'double graph' that is obtained by superposing red and blue binomial random graphs on n ~vertices. A joint component is a maximal set of vertices that supports both a red and ... 
Optimal stopping games in models with various information flows
(Taylor & Francis, 20210101)We study zerosum optimal stopping games associated with perpetual convertible bonds in an extension of the BlackMertonScholes model with random dividends under various information flows. In this type of contracts, the ...