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Berezin-type operators on the cotangent bundle of a nilpotent group
(Springer, 2019)
We define and study coherent states, a Berezin-Toeplitz quantization and covariant symbols on the product Xi := G x g(#) between a connected simply connected nilpotent Lie group and the dual of its Lie algebra. The starting ...
Quantization and Coorbit Spaces for Nilpotent Groups
(Birkhauser, 2020)
Continuous phase-space methods on discrete phase spaces
(EPL Association, 2015)
We show that discrete quasiprobability distributions defined via the discrete
Heisenberg-Weyl group can be obtained as discretizations of the continuous SU(N) quasiprobability
distributions. This is done by identifying ...
Comment on "Highly relativistic spin-gravity coupling for fermions"
(American Physical Society, 2016)
We exhibit difficulties of different sorts which appear when using the Mathisson-Papapetrou equations, in particular in the description of highly relativistic particles presented in R. Plyatsko and M. Fenyk [Phys. Rev. D ...
Supersymmetric Majorana quantum cosmologies
(American Physical Society, 2015)
The Einstein equations for an isotropic and homogeneous Friedmann-Robertson-Walker universe in the presence of a quintessence scalar field are shown to be described in a compact way, formally identical to the dynamics of ...
A strategy for time series prediction using segment growing neural gas
(IEEE, 2017)
Segment Growing Neural Gas (Segment-GNG) has been recently proposed as a new spatiotemporal quantization method for time series. Unlike traditional quantization algorithms that are prototype-based, Segment-GNG uses segments ...
Spectral regularization in generalized matrix learning vector quantization
(IEEE, 2017)
In this contribution we propose a new regularization method for the Generalized Matrix Learning Vector Quantization classifier. In particular we use a nuclear norm in order to prevent oversimplifying/over-fitting and ...
Quantization of the gravitational constant in odd dimensions
(1995)
It is pointed out that the action recently proposed by Bañados, Teitelboim, and Zanelli for the study of black holes in odd dimensions higher (and lower) than four provides a natural quantization for the gravitational ...
Global and concrete quantizations on general type I groups
(Springer-Verlag Wien, 2019)
In recent papers and books, a global quantization has been developed for unimodular groups of type I. It involves operator-valued symbols defined on the product between the group G and its unitary dual G^ , composed of ...