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pro vyhledávání: '"Niccolai, Edoardo"'
Autor:
Niccolai, Edoardo
A study on the notion of covariant derivatives in flat and curved space-time via It\^o-Wiener processes, when subjected to stochastic processes, is presented. Going into details, there is an analysis of the following topics: (i) Besov space, (ii) Sch
Externí odkaz:
http://arxiv.org/abs/2303.10177
Autor:
Niccolai, Edoardo
This paper investigates the concept of harmonic functions of bounded mean oscillation, starting from John-Nirenberg's pioneering studies, under a renewed formalism, suitable for bringing out some fundamental properties inherent in it. In more detail:
Externí odkaz:
http://arxiv.org/abs/2212.00681
Autor:
Niccolai, Edoardo
These Notes deal with various areas of mathematics, and seek reciprocal combinations, explore mutual relations, ranging from abstract objects to problems in physics.
Comment: Further improvements
Comment: Further improvements
Externí odkaz:
http://arxiv.org/abs/2105.14863
Autor:
Niccolai, Edoardo
This paper proposes a description of the notion of spinor by restricting attention on its definition in curved space(-time). The starting point is a study on a flat ambient (Euclidean) space, followed by the concept of (isotropic) vector. After a qui
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5f7d279728a684068d6e4f9f9ee450f9
Autor:
Niccolai, Edoardo
The purpose of this article is to investigate the Ricci flow and its Kählerian version. We would like to underline the aspect that we could call lenticular of this geometric object (consisting of a specific partial differential equation), the possib
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a7a9a29e8cd7e08e0c6e34b780e667c2
Autor:
Niccolai, Edoardo
This paper has no bibliography as it is (was) a private communication, un échange de vues, so I can afford to let my voracious and prehensile brain work without mentioning anything. (Rigor betwixt fantasy & imagination).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8fe27f125c3f0d13ac1aeaa8fd0f5c01
Autor:
Niccolai, Edoardo
Here the concept of ergodicity is studied, starting from a propaedeutic introduction (Maxwell and Boltzmann), and proving the ergodic Theorems of Birkhoff and Anosov, and the Hopfian statistical process about the ergodicity of the geodesic flow. Then
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ce3ffa74a5a6ad938a0fd79ba63a4e99
Autor:
Niccolai, Edoardo
This paper is an exercices de style on a geometric application of Fourier analysis; more specifically, on the torus Tn. Excerpt № 9 from my Notes, with ad hoc modifications: removal of all internal cross-references, absence of the Glossary, omissio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::05435fa7fc33dec685d06fe38226137d
Autor:
Niccolai, Edoardo
This is a variegated paper with many intertwined topics: tensor (or Ricci) calculus, curvature tensors (by Riemann, Ricci, Einstein, Weyl, Cotton & Cotton–York), Lorentz–Minkowski 4-manifolds, spinor representation of the Lorentz group, and Cliff
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0d0ec61e5fc1e84a53189dafd3b1fff8
Autor:
Niccolai, Edoardo
Poincaré recurrence theorem is the focus of attention of this paper, with a central pause: Lindelöf space and Borel σ-algebra. A later Section, dedicated to the symplectic form and Liouville invariance under the Hamiltonian flow, serves as a conve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0faa57cbdb567a2108531c0fcd964afd