Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Cristina-Liliana Pripoae"'
Publikováno v:
Mathematics, Vol 11, Iss 18, p 3934 (2023)
By replacing the internal energy with the free energy, as coordinates in a “space of observables”, we slightly modify (the known three) non-holonomic geometrizations from Udriste’s et al. work. The coefficients of the curvature tensor field, of
Externí odkaz:
https://doaj.org/article/8b3b184a3dec4619b66330487d76b246
Publikováno v:
Mathematics, Vol 10, Iss 22, p 4311 (2022)
The paper defines and studies new semi-Riemannian generalized Fisher metrics and Fisher-like metrics, associated with entropies and divergences. Examples of seven such families are provided, based on exponential PDFs. The particular case when the bas
Externí odkaz:
https://doaj.org/article/42157524cdf14a5a8c81a62f243f339e
Publikováno v:
Mathematics, Vol 10, Iss 15, p 2776 (2022)
The paper studies the Lie symmetries of the nonlinear Fokker-Planck equation in one dimension, which are associated to the weighted Kaniadakis entropy. In particular, the Lie symmetries of the nonlinear diffusive equation, associated to the weighted
Externí odkaz:
https://doaj.org/article/d67cb40cc72e4f3eb98cebdf8c5c9979
Publikováno v:
Mathematics, Vol 10, Iss 7, p 1061 (2022)
The theory of statistical manifolds w.r.t. a conformal structure is reviewed in a creative manner and developed. By analogy, the γ-manifolds are introduced. New conformal invariant tools are defined. A necessary condition for the f-conformal equival
Externí odkaz:
https://doaj.org/article/5bdfe829b15242719b37a800c2852bb4
Publikováno v:
Entropy, Vol 24, Iss 1, p 120 (2022)
A large family of new α-weighted group entropy functionals is defined and associated Fisher-like metrics are considered. All these notions are well-suited semi-Riemannian tools for the geometrization of entropy-related statistical models, where they
Externí odkaz:
https://doaj.org/article/2119f30da1ce460f915c1a4e8bd08675
Publikováno v:
Mathematics, Vol 9, Iss 16, p 1890 (2021)
We review Pólya vector fields associated to holomorphic functions as an important pedagogical tool for making the complex integral understandable to the students, briefly mentioning its use in other dimensions. Techniques of differential geometry ar
Externí odkaz:
https://doaj.org/article/45ab0098d84049b39ea7e528c634f4af
Publikováno v:
Mathematics, Vol 9, Iss 14, p 1654 (2021)
The paper generalizes and extends the notions of dual connections and of statistical manifold, with and without torsion. Links with the deformation algebras and with the Riemannian Rinehart algebras are established. The semi-Riemannian manifolds admi
Externí odkaz:
https://doaj.org/article/63d46295a77640408b4dbfb8348b4043
Publikováno v:
Annals of West University of Timisoara - Mathematics and Computer Science. 59:1-20
In this review paper, we recall, in a unifying manner, our recent results concerning the Lie symmetries of nonlinear Fokker-Plank equations, associated to the (weighted) Tsallis and Kaniadakis entropies. The special values of the Tsallis parameters,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cc0fd6fdb179e1b1a7a16ca481482503
https://doi.org/10.2478/awutm-2023-0002
https://doi.org/10.2478/awutm-2023-0002
Publikováno v:
Mathematics; Volume 10; Issue 22; Pages: 4311
The paper defines and studies new semi-Riemannian generalized Fisher metrics and Fisher-like metrics, associated with entropies and divergences. Examples of seven such families are provided, based on exponential PDFs. The particular case when the bas
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=multidiscipl::3594c35a6ed719d56b99d7d2058b63e4
Publikováno v:
Mathematics; Volume 10; Issue 7; Pages: 1061
The theory of statistical manifolds w.r.t. a conformal structure is reviewed in a creative manner and developed. By analogy, the γ-manifolds are introduced. New conformal invariant tools are defined. A necessary condition for the f-conformal equival
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cb8fdddfcc345af5159b190865208c18