The accurate calculation of weak heavy-to-light form factors is crucial for the determination of CKM matrix elements from experimental data on B decays. In SCET, the soft-collinear effective theory, these form factors can, in the heavy quark limit, be split into a factorisable part that is calculable in perturbation theory, and a nonfactorisable part that observes certain spin-symmetries. I dis...

In this paper, we propose a multivariate quantile regression method which enables localized analysis on conditional quantiles and global comovement analysis on conditional ranges for high-dimensional data. The proposed method, hereafter referred to as FActorisable Sparse Tail Event Curves, or FASTEC for short, exploits the potential factor structure of multivariate conditional quantiles through...

We propose a multivariate quantile regression framework that exploits the factor structure in multivariate conditional quantiles through nuclear norm regularization. Because the incurred optimization problem can only be solved approximately, we develop a non-asymptotic upper bound for the estimation error that takes into account the optimization error. We specify an algorithm to compute an appr...

An iterative construction of higher order Einstein tensors for a maximally GaussBonnet extended gravitational Lagrangian was introduced in a previous paper. Here the formalism is extended to non-factorisable metrics in arbitrary (d + 1) dimensions in the presence of superposed Gauss-Bonnet terms. Such a generalisation turns out to be remarkably convenient and elegant. Having thus obtained the v...

Spans of open maps have been proposed by Joyal, Nielsen, and Winskel as a way of adjoining an abstract equivalence, P-bisimilarity, to a category of models of computation M, where P is an arbitrary subcategory of observations. Part of the motivation was to recast and generalise Milner’s well-known strong bisimulation in this categorical setting. An issue left open was the congruence properties ...

A cross between two well-known integrable multi-particle dynamics, an affine Toda molecule and a Sutherland system, is introduced for any affine root system. Though it is not completely integrable but partially integrable, or quasi exactly solvable, it inherits many remarkable properties from the parents. The equilibrium position is algebraic, i.e. proportional to the Weyl vector. The frequenci...