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Spectral uniqueness of bi-invariant metrics on symplectic groups
(Birkhauser Boston Inc, 2019-12)
In this short note, we prove that a bi-invariant Riemannian metric on Sp(n) is uniquely determined by the spectrum of its Laplace–Beltrami operator within the class of left-invariant metrics on Sp(n). In other words, on ...
Fisher information and α-connections for a class of transformational models
(2000)
In this paper we use invariant theory for representations of groups in order to get an indirect method of computing the Fisher metric and the α-connections of transformational models parameterized by symmetric spaces. Among ...
EMERGENCE OF INVARIANT REPRESENTATION OF 2 VOCALIZATIONS IN THE AUDITORY CORTEX
(J Neurophysiol, 2015-08-26)
An essential task of the auditory system is to discriminate between different communication
signals, such as vocalizations. In everyday acoustic environments, the auditory system needs
to be capable of performing the ...
Ciratefi: An RST-invariant template matching with extension to color images
(IOS PRESS, 2011)
Template matching is a technique widely used for finding patterns in digital images. A good template matching should be able to detect template instances that have undergone geometric transformations. In this paper, we ...
Fisher information and alpha-connections for a class of transformational models
(Elsevier Science BvAmsterdamHolanda, 2000)
A capital invariant solution to the marxian transformation problem
(Sage Publications Ltd, 2017-08)
This paper constructs a new solution to the Marxian transformation problem in a simple reproduction economy. It imposes two invariant equations using both constant and variable capital, separately, in order to solve the ...
Teleparallel theories of gravity: illuminating a fully invariant approach
(Iop Publishing Ltd, 2019-09-19)
Teleparallel gravity and its popular generalization f(T) gravity can be formulated as fully invariant (under both coordinate transformations and local Lorentz transformations) theories of gravity. Several misconceptions ...
On the invariance of polarization propagators at SOPPA level of approach under unitary transformations of MOs
(Elsevier Science, 2020-12)
Polarization propagators can be identified with linear responses of a system to external/internal perturbing fields, being that responses experimentally measurable. Then, approximated and reliable calculations with propagators ...
Closed expressions for Lie algebra invariants and finite transformations
(1997-12-01)
A simple procedure to obtain complete, closed expressions for Lie algebra invariants is presented. The invariants are ultimately polynomials in the group parameters. The construction of finite group elements requires the ...