2 papers
math.AP2017
On Weyl's asymptotics and remainder term for the orthogonal and unitary groups
Chalres Morris, Ali Taheri
We examine the asymptotics of the spectral counting function of a compact Riemannian manifold by V.G.~Avakumovic \cite{Avakumovic} and L.~Hörmander \cite{Hormander-eigen} and show…
math.AP2017
Twist maps as energy minimisers in homotopy classes: symmetrisation and the coarea formula
Charles Morris, Ali Taheri
Let $\X = \X[a, b] = \{x: a<|x|<b\}\subset \R^n$ with fixed be an open annulus and consider the energy functional, \begin{equation*} {\mathbb F} [u; \X] = \frac{1}{2…