Browsing Mathematics by Title
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Parametric Integration by Magic Point Empirical Interpolation
(Oxford University Press (OUP), 20171225)We derive analyticity criteria for explicit error bounds and an exponential rate of convergence of the magic point empirical interpolation method introduced by Barrault et al. (2004, An empirical interpolation method: ... 
Pareto Optimality in Multilayer Network Growth
(20180920) 
Penrose quasilocal energy and KerrSchild metrics
(20181019)© 2018 IOP Publishing Ltd. Specialising in the case of KerrSchild spacetimes, which include the Kerr black hole and gravitational wave solutions, we propose a modification of the Penrose quasilocal energy. The modification ... 
Periodicity of free subgroup numbers modulo prime powers
(20160415) 
Persistent homology and machine learning
(20180101)© 2018 Slovene Society Informatika. All rights reserved. In this position paper, we present a brief overview of the ways topological tools, in particular persistent homology, has been applied to machine learning and data ... 
Polyhomogeneous expansions from time symmetric initial data
(IOP Publishing, 201709)We make use of Friedrich's construction of the cylinder at spatial infinity to relate the logarithmic terms appearing in asymptotic expansions of components of the Weyl tensor to the freely specifiable parts of time symmetric ... 
Polyhomogeneous expansions from time symmetric initial data
(20171005) 
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 ... 
The principal bundles over an inverse semigroup
(201706)