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19 papers · 1 filter
Poisson statistics via the Chinese remainder theorem
A. Granville, P. Kurlberg
We consider the distribution of spacings between consecutive elements in subsets of Z/qZ where q is highly composite and the subsets are defined via the Chinese remainder theorem.…
A class of solvable Lie algebras and their Casimir Invariants
L. Snobl, P. Winternitz
A nilpotent Lie algebra n_{n,1} with an (n-1) dimensional Abelian ideal is studied. All indecomposable solvable Lie algebras with n_{n,1} as their nilradical are obtained. Their di…
White Dwarfs and Hot Subdwarfs as Seen from FUSE
G. Fontaine, P. Chayer
We present a small collection of FUSE spectra representative of the main spectral classes found in white dwarf stars. In addition, we also discuss another family of hot evolved sta…
Rotation-induced mixing in red giant stars
A. Palacios, C. Charbonnel, S. Talon +1
Red giant stars, both in the field and in globular clusters, present abundance anomalies that can not be explained by standard stellar evolution models. Some of these peculiarities…
Practical Implementations of Twirl Operations
M. S. Anwar, L. Xiao, A. J. Short +4
Twirl operations, which convert impure singlet states into Werner states, play an important role in many schemes for entanglement purification. In this paper we describe strategies…
Spectral problems with mixed Dirichlet-Neumann boundary conditions: isospectrality and beyond
Dmitry Jakobson, Michael Levitin, Nikolai Nadirashvili +1
Consider a bounded domain with the Dirichlet condition on a part of the boundary and the Neumann condition on its complement. Does the spectrum of the Laplacian determine uniquely…