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Four lectures on Euler integrals

SciPost Physics Lecture Notes, 2023
These lecture notes provide a self-contained introduction to Euler integrals, which are frequently encountered in applications. In particle physics, they arise as Feynman integrals or string amplitudes.
Saiei-Jaeyeong Matsubara-Heo, Sebastian Mizera, Simon Telen
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Information geometry of Markov Kernels: a survey

Frontiers in Physics, 2023
Information geometry and Markov chains are two powerful tools used in modern fields such as finance, physics, computer science, and epidemiology. In this survey, we explore their intersection, focusing on the theoretical framework.
Geoffrey Wolfer, Shun Watanabe
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On 4-dimensional Einsteinian manifolds with parallel null distribution [PDF]

ریاضی و جامعه, 2023
In this paper, we investigate the Einsteinian manifolds with parallel null distribution. For this purpose, we first obtain the equations, which are known as Einstein's equations, that lead to finding the mentioned manifolds and then, we reduce Einstein's
Mehdi Jafari
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Equiform rectifying curves in Galilean space G4

Scientific African, 2023
This research paper presents the equiform rectifying curves in Galilean space G4, and establish the relation between equiform curves and their equiform curvature functions.
M. Elzawy, S. Mosa
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Geometry optimization of a muon-electron scattering detector

Physics Open, 2020
A high-statistics determination of the differential cross section of elastic muon-electron scattering as a function of the transferred four-momentum squared, dσel(μe→μe)/dq2, has been argued to provide an effective constraint to the hadronic contribution
Tommaso Dorigo
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Integrating Pedagogical Approaches in the Study of Conic Sections Using Differential Equation and Analysis via Bayesian Inference

Engineering Proceedings, 2023
In science and technology, the application of mathematics and mathematical modelling is crucial. A more conceptual and axiomatic approach has been taken in developing the narrative from geometry in the enormous history of mathematics.
R. Delhibabu, S. Vaithyasubramanian, R. Sundararajan, C. K. Kirubhashankar, K. Vengatakrishnan, Chandu P.M.S.S.   +5 more
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Geometry aware physics informed neural network surrogate for solving Navier–Stokes equation (GAPINN)

Advanced Modeling and Simulation in Engineering Sciences, 2022
Many real world problems involve fluid flow phenomena, typically be described by the Navier–Stokes equations. The Navier–Stokes equations are partial differential equations (PDEs) with highly nonlinear properties. Currently mostly used methods solve this
Jan Oldenburg, Finja Borowski, Alper Öner, Klaus-Peter Schmitz, Michael Stiehm   +4 more
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Quantum geometric tensors from sub-bundle geometry [PDF]

Quantum
The geometric properties of quantum states are crucial for understanding many physical phenomena in quantum mechanics, condensed matter physics, and optics. The central object describing these properties is the quantum geometric tensor, which unifies the
Marius A. Oancea, Thomas B. Mieling, Giandomenico Palumbo   +2 more
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A decomposition analysis of Weyl's curvature tensor via Berwald’s first and second order derivatives in Finsler spaces

Journal of Innovative Applied Mathematics and Computational Sciences
This research paper explores the decomposition of Weyl's curvature tensor through the lens of Berwald’s first and second-order derivatives in Finsler spaces.
Adel Mohammed Ali Al-Qashbari, Moussa Haoues, Fahmi Ahmed Mothana AL-ssallal   +2 more
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Magnetic Curves in Differential Geometry: A Comprehensive Survey

Mathematics
The concept of “magnetic lines of force,” or “magnetic curves”, was introduced in the 1830s by Michael Faraday (1791–1867); his work provided the foundation for the modern understanding of magnetic fields.
Bang-Yen Chen, Foued Aloui, Md Ajmal Khan, Majid Ali Choudhary   +3 more
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