359 citations
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11 papers · 1 filter
The Heat Kernel on Asymptotically Hyperbolic Manifolds
Xi Chen, Andrew Hassell
Upper and lower bounds on the heat kernel on complete Riemannian manifolds were obtained in a series of pioneering works due to Cheng-Li-Yau, Cheeger-Yau and Li-Yau. However, these…
A fast spinning magnetic white dwarf in the double-degenerate, super-Chandrasekhar system NLTT 12758
Adela Kawka, Gordon P. Briggs, Stephane Vennes +3
We present an analysis of the close double degenerate NLTT 12758, which is comprised of a magnetic white dwarf with a field of about 3.1 MG and an apparently non-magnetic white dwa…
Trace Formulas for a Class of non-Fredholm Operators: A Review
Alan Carey, Fritz Gesztesy, Harald Grosse +4
We review previous work on spectral flow in connection with certain self-adjoint model operators on a Hilbert space , joining endpoints $A…
On the contravariant of homogeneous forms arising from isolated hypersurface singularities
Alexander Isaev
Let be the vector space of homogeneous forms of degree on , with . The object of our study is the map , introduced in earlier…
The quantum Rabi model: solution and dynamics
Qiongtao Xie, Honghua Zhong, Murray T. Batchelor +1
This article presents a review of recent developments on various aspects of the quantum Rabi model. Particular emphasis is given on the exact analytic solution obtained in terms of…
Entanglement entropy and massless phase in the antiferromagnetic three-state quantum chiral clock model
Yan-Wei Dai, Sam Young Cho, Murray T. Batchelor +1
The von Neumann entanglement entropy is used to estimate the critical point of the mixed ferro-antiferromagnetic three-state quantum Potts model $H = \sum_i…