28 citations · 82 across the 6 of their papers we have counts for
6 papers
On the monotone stability approach to BSDEs with jumps: Extensions, concrete criteria and examples
Dirk Becherer, Martin Büttner, Klebert Kentia
We show a concise extension of the monotone stability approach to backward stochastic differential equations (BSDEs) that are jointly driven by a Brownian motion and a random measu…
Wavelet reconstruction of E and B modes for CMB polarisation and cosmic shear analyses
Boris Leistedt, Jason D. McEwen, Martin Büttner +1
We present new methods for mapping the curl-free (E-mode) and divergence-free (B-mode) components of spin 2 signals using spin directional wavelets. Our methods are equally applica…
Directional spin wavelets on the sphere
Jason D. McEwen, Boris Leistedt, Martin Büttner +2
We construct a directional spin wavelet framework on the sphere by generalising the scalar scale-discretised wavelet transform to signals of arbitrary spin. The resulting framework…
A novel sampling theorem on the rotation group
J. D. McEwen, M. Büttner, B. Leistedt +2
We develop a novel sampling theorem for functions defined on the three-dimensional rotation group SO(3) by connecting the rotation group to the three-torus through a periodic exten…
Analysing the polarisation of the CMB with spin scale-discretised wavelets
Boris Leistedt, Jason D. McEwen, Martin Büttner +3
We discuss a new scale-discretised directional wavelet transform to analyse spin signals defined on the sphere, in particular the polarisation of the cosmic microwave background (C…
On spin scale-discretised wavelets on the sphere for the analysis of CMB polarisation
Jason D. McEwen, Martin Büttner, Boris Leistedt +3
A new spin wavelet transform on the sphere is proposed to analyse the polarisation of the cosmic microwave background (CMB), a spin signal observed on the celestial sphere.…