Integrable Ito equations with multiple noises [PDF]
Open Communications in Nonlinear Mathematical Physics, 2022 The classification of scalar Ito equations with a single noise source which admit a so called standard symmetry and hence are -- by the Kozlov construction -- integrable is by now complete.
Giuseppe Gaeta, Miguel Angel Rodriguez
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Symmetry of the isotropic Ornstein-Uhlenbeck process in a force field [PDF]
Open Communications in Nonlinear Mathematical Physics, 2021 We classify simple symmetries for an Ornstein-Uhlenbeck process, describing a particle in an external force field $f(x)$. It turns out that for sufficiently regular (in a sense to be defined) forces there are nontrivial symmetries only if $f(x)$ is at ...
Giuseppe Gaeta
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Teaching students the equations of mathematical physics using educational electronic resources
RUDN Journal of Informatization in Education, 2021 Problem and goal. Currently, information and telecommunications technologies are widely used in the professional activities of most specialists in various subject areas.
Alexey S. Rusinov
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The Correlation between Mathematics and Physics Achievement of Senior High School Students
Tarbawi, 2021 Physics and mathematics are the two most closely related natural rudimentary subjects. In the study of physics, often need to rely on mathematical rigorous reasoning and argumentation and need to use a variety of mathematical methods for investigation ...
Chen Jihe +5 more
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Expansions for eigenfunction and eigenvalues of large-$n$ Toeplitz matrices [PDF]
Papers in Physics, 2010 This paper constructs methods for finding convergent expansions for eigenvectors and eigenvalues of large-$n$ Toeplitz matrices based on a situation in which the analogous infinite-$n$ matrix would be singular. It builds upon work done by Dai, Geary, and
Leo P. Kadanoff
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Commentary on "Expansions for Eigenfunctions and Eigenvalues of large-n Toeplitz Matrices" [PDF]
Papers in Physics, 2010 A Commentary on the paper by L. P. Kadanoff [Pap. Phys. 2, 020003 (2010)].Received: 29 September 2010, Accepted: 4 October 2010; Edited by: A. G.
Torsten Ehrhardt
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The formation of ionospheric physics – confluence of traditions and threads of continuity [PDF]
History of Geo- and Space Sciences, 2021 This paper examines how ionospheric physics emerged as a research speciality in Britain, Germany, and the United States in the first four decades of the 20th century. It argues that the formation of this discipline can be viewed as the confluence of four
A. Anduaga, A. Anduaga
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Combinatorial Conversion and Moment Bisimulation for Stochastic Rewriting Systems [PDF]
Logical Methods in Computer Science, 2020 We develop a novel method to analyze the dynamics of stochastic rewriting systems evolving over finitary adhesive, extensive categories. Our formalism is based on the so-called rule algebra framework and exhibits an intimate relationship between the ...
Nicolas Behr +2 more
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Which Number System Is “Best” for Describing Empirical Reality?
Mathematics, 2022 Eugene Wigner’s much-discussed notion of the “unreasonable effectiveness of mathematics” as applied to describing the physics of empirical reality is simultaneously both trivial and profound. After all, the relevant mathematics was (in the first instance)
Matt Visser
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Some Multifaceted Aspects of Mathematical Physics, Our Common Denominator with Elliott Lieb †
Axioms, 2022 Mathematical physics has many facets, of which we shall briefly give a (very partial) description, centered around those of main interest for Elliott and us (Moshe Flato and I), and around the seminal scientific and personal interactions that developed ...
Daniel Sternheimer
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