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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 ... 
Timedependent wave equations on graded groups
(Springer, 202102)In this paper we consider the wave equations for hypoelliptic homogeneous leftinvariant operators on graded Lie groups with timedependent H\"older propagation speeds. The examples are the timedependent wave equation for ... 
Superstatistical modelling of protein diffusion dynamics in bacteria
(Royal Society, The, 2021) 
New spinorial approach to mass inequalities for black holes in general relativity
(American Physical Society, 20210115)A new spinorial strategy for the construction of geometric inequalities involving the ArnowittDeserMisner mass of black hole systems in general relativity is presented. This approach is based on a second order elliptic ... 
Diffusion segregation and the disproportionate incidence of COVID19 in African American communities.
(The Royal Society Publishing, 202101)One of the most concerning aspects of the ongoing COVID19 pandemic is that it disproportionately affects people from some specific ethnic and socioeconomic minorities. In particular, since from the beginning of the ... 
Asymptotics and Renewal Approximation in the Online Selection of Increasing Subsequence
(Bernoulli Society for Mathematical Statistics and Probability, 2021) 
On sequential selection and a first passage problem for the Poisson process
(Institute of Mathematical Statistics, 2021)