School of Mathematical Sciences: Recent submissions
Now showing items 120 of 664

Tower of subleading dual BMS charges
(Springer Verlag (Germany), 2019)We supplement the recently found dual gravitational charges with dual charges for the whole BMS symmetry algebra. Furthermore, we extend the dual charges away from null infinity, defining subleading dual charges. These ... 
Reconstructing global fields from dynamics in the abelianized Galois group
(Springer Verlag, 2019)We study a dynamical system induced by the Artin reciprocity map for a global field. We translate the conjugacy of such dynamical systems into various arithmetical properties that are equivalent to field isomorphism, ... 
Exact solution of pulled, directed vesicles with sticky walls in two dimensions
We analyse a directed lattice vesicle model incorporating both the bindingunbinding transition and the vesicle inflationdeflation transition. From the exact solution we derive the phase diagram for this model and elucidate ... 
The HallPaige conjecture, and synchronization for affine and diagonal groups Journal of Algebra
(Elsevier, 2019)The Hall–Paige conjecture asserts that a finite group has a complete mapping if and only if its Sylow subgroups are not cyclic. The conjecture is now proved, and one aim of this paper is to document the final step in the ... 
HIGHER TOPOLOGICAL COMPLEXITY OF ASPHERICAL SPACES
(Elsevier, 2019)In this article we study the higher topological complexity TCr(X) in the case when X is an aspherical space... 
Bredon cohomology and robot motion planning
Abstract. In this paper we study the topological invariant TC(X) reflecting the com plexity of algorithms for autonomous robot motion. Here, X stands for the configuration space of a system and TC(X) is, roughly, the ... 
An upper bound for topological complexity
(20190315) 
Hardy inequalities on metric measure spaces
In this note we give several characterisations of weights for twoweight Hardy inequalities to hold on general metric measure spaces possessing polar decompositions. Since there may be no differentiable structure on such ... 
A Fermi GammaRay Burst Monitor Search for Electromagnetic Signals Coincident with Gravitationalwave Candidates in Advanced LIGO's First Observing Run
(IOP Publishing, 20190120)We present a search for prompt gammaray counterparts to compact binary coalescence gravitational wave (GW) candidates from Advanced LIGO's first observing run (O1). As demonstrated by the multimessenger observations of ... 
THE SHARP THRESHOLD FOR JIGSAW PERCOLATION IN RANDOM GRAPHS
(Applied Probability Trust, 2019)We analyse the jigsaw percolation process, which may be seen as a measure of whether two graphs on the same vertex set are `jointly connected'. Bollobás, Riordan, Slivken and Smith proved that when the two graphs are ... 
Power substitution in quasianalytic Carleman classes
(Springer Verlag, 2019)Consider an equation of the form f(x)=g(xk), where k>1 and f(x) is a function in a given Carleman class of smooth functions. For each k, we construct a Carlemantype class which contains all the smooth solutions g(x) to ... 
Semiperfect 1Factorizations of the Hypercube
(Elsevier, 2019)A 1factorization M = {M_1,M_2,...,M_n} of a graph G is called perfect if the union of any pair of 1factors M_i, M_j with i ≠ j is a Hamilton cycle. It is called ksemiperfect if the union of any pair of 1factors M_i, ... 
Explicit refinements of Böcherer's conjecture for Siegel modular forms of squarefree level
We formulate an explicit refinement of B\"ocherer's conjecture for Siegel modular forms of degree 2 and squarefree level, relating weighted averages of Fourier coefficients with special values of Lfunctions. To achieve ... 
Beyond the clustering coefficient: A topological analysis of node neighbourhoods in complex networks
(Elsevier, 2019)In Network Science node neighbourhoods, also called egocentered networks have attracted large attention. In particular the clustering coefficient has been extensively used to measure their local cohesiveness. In this ... 
The density of states of 1D random band matrices via a supersymmetric transfer operator
(European Mathematical Society, 2019)Recently, T. and M. Shcherbina proved a pointwise semicircle law for the density of states of onedimensional Gaussian band matrices of large bandwidth. The main step of their proof is a new method to study the ... 
Large deviation theory of percolation on multiplex networks
(arXiv, 2019)Recently increasing attention has been addressed to the fluctuations observed in percolation defined in single and multiplex networks. These fluctuations are extremely important to characterize the robustness of real finite ...