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Integrable Ito equations with multiple noises [PDF]
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]
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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This article discusses the major and minor problems in the organization of education and their solutions, the interdisciplinary relationship in the study of physics, in particular, the ideas of mathematics in physics.
Yuldashev Laziz Tashpulatovich +1 more
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Teaching students the equations of mathematical physics using educational electronic resources
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
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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Subfactors and mathematical physics
This paper surveys the long-standing connections and impact between Vaughan Jones’s theory of subfactors and various topics in mathematical physics, namely statistical mechanics, quantum field theory, quantum information, and two-dimensional conformal field theory.
Evans, David E., Kawahigashi, Yasuyuki
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Experimental Mathematics and Mathematical Physics [PDF]
18 pages, 2 ...
Bailey, David H. +3 more
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Expansions for eigenfunction and eigenvalues of large-$n$ Toeplitz matrices [PDF]
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]
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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Combinatorial Conversion and Moment Bisimulation for Stochastic Rewriting Systems [PDF]
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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