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- University of California, IrvineUS21 papers
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6 papers · 1 filter
On the mathematical foundations of mutually unbiased bases
Koen Thas
In order to describe the right setting to handle Zauner's conjecture on mutually unbiased bases (MUBs) (saying that in , a set of MUBs of the theoretical maximal size…
Sensitivity analysis for finite Markov chains in discrete time
Gert de Cooman, Filip Hermans, Erik Quaeghebeur
When the initial and transition probabilities of a finite Markov chain in discrete time are not well known, we should perform a sensitivity analysis. This is done by considering as…
Updating with incomplete observations
Gert de Cooman, Marco Zaffalon
Currently, there is renewed interest in the problem, raised by Shafer in 1985, of updating probabilities when observations are incomplete (or set-valued). This is a fundamental pro…
Lifted tensors and Hamilton-Jacobi separability
G. Waeyaert, W. Sarlet
Starting from a bundle E over R, the dual of the first jet bundle, which is a co-dimension 1 sub-bundle of the cotangent bundle of E, is the appropriate manifold for the geometric…
Panchromatic Hubble Andromeda Treasury IX: A Photometric Survey of Planetary Nebulae in M31
Mark J. Veyette, Benjamin F. Williams, Julianne J. Dalcanton +8
We search Hubble Space Telescope (HST) Advanced Camera for Surveys (ACS) and Wide Field Camera 3 (WFC3) broadband imaging data from the Panchromatic Hubble Andromeda Treasury (PHAT…
Linear representations of subgeometries
Stefaan De Winter, Sara Rottey, Geertrui Van de Voorde
The linear representation of a point set in a hyperplane of is a point-line geometry embedded in this projective space. In t…