Ara
Toplam kayıt 17, listelenen: 11-17
Matched pair analysis of the Vlasov plasma
(American Institute of Mathematical Sciences-AIMS, 2021-06)
We present the Hamiltonian (Lie-Poisson) analysis of the Vlasov plasma, and the dynamics of its kinetic moments, from the matched pair decomposition point of view. We express these (Lie-Poisson) systems as couplings of ...
A new form of Kakutani fixed point theorem and intersection theorem with applications
(Ministry Communications & High Technologies, 2021)
The first aim of this paper is to extend the Kakutani's fixed point theorem from locally convex topological vector spaces to linear topological spaces. The second goal is to present sufficient conditions under which the ...
Homology of quantum linear groups
(Int Press Boston, 2021-03-24)
For every n >= 1, we calculate the Hochschild homology of the quantum monoids M-q(n), and the quantum groups GL(q)(n) and SLq(n) with coefficients in a 1-dimensional module coming from a modular pair in involution.
Adaptive convolution kernel for artificial neural networks
(Academic Press Inc., 2021-02)
Many deep neural networks are built by using stacked convolutional layers of fixed and single size (often 3 × 3) kernels. This paper describes a method for learning the size of convolutional kernels to provide varying size ...
On extensions, Lie-Poisson systems, and dissipation
(Heldermann Verlag, 2022-07-06)
Lie-Poisson systems on the dual spaces of unified products are studied. Having been equipped with a twisted 2-cocycle term, the extending structure framework allows not only to study the dynamics on 2-cocycle extensions, ...
Slant curves in the Lorentzian warped product manifold - I× fE²
(Birkhauser, 2022-03-15)
In this work, we study slant curves in the 3-dimensional Lorentzian warped product - I× fE², where E² is a 2-dimensional Euclidean plane, I? R is an open interval equipped with the metric dt², and f is a positive smooth ...
Tulczyjew's triplet for Lie groups III: higher order dynamics and reductions for iterated bundles
(Serbian Society of Mechanics, 2021)
Given a Lie group G, we elaborate the dynamics on T*T*G and T*TG, which is given by a Hamiltonian, as well as the dynamics on the Tul-czyjew symplectic space TT * G, which may be defined by a Lagrangian or a Hamiltonian ...