Results 1 to 10 of about 300 (124)
Symmetric monochromatic subsets in colorings of the Lobachevsky plane [PDF]
Discrete Mathematics & Theoretical Computer Science, 2010 Combinatorics
Taras Banakh, Artem Dudko, Dusan Repovs
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Toward Interactions through Information in a Multifractal Paradigm [PDF]
Entropy, 2020 In a multifractal paradigm of motion, Shannon’s information functionality of a minimization principle induces multifractal–type Newtonian behaviors. The analysis of these behaviors through motion geodesics shows the fact that the center of the Newtonian ...
Maricel Agop +5 more
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Contact and almost contact structures on the real extension of the Lobachevsky plane
Учёные записки Казанского университета: Серия Физико-математические науки, 2021 In this article, we propose a group model G of a real extension of the Lobachevsky plane H2 × R . The group G is a Lie group of special-form matrices and a subgroup of the general linear group GL(3, R).
V.I. Pan’zhenskii, A.O. Rastrepina
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On the harmonic oscillator on the Lobachevsky plane [PDF]
Russian Journal of Mathematical Physics, 2007 We introduce the harmonic oscillator on the Lobachevsky plane with the aid of the potential $V(r)=(a^2ω^2/4)sinh(r/a)^2$ where $a$ is the curvature radius and $r$ is the geodesic distance from a fixed center. Thus the potential is rotationally symmetric and unbounded likewise as in the Euclidean case.
Šovíček, P., Tušek, M.
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Quantum Hall effect on the Lobachevsky plane [PDF]
Physica B: Condensed Matter, 2003 submitted to Physica ...
Bulaev, D. V. +2 more
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A Manifold of Pure Gibbs States of the Ising Model on the Lobachevsky Plane [PDF]
Communications in Mathematical Physics, 2014 25 pages, 7 ...
Senya Shlosman, Shlosman Senya
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Zero modes in a system of Aharonov–Bohm solenoids on the Lobachevsky plane [PDF]
Journal of Physics A, 2006 We consider a spin 1/2 charged particle on the Lobachevsky plane subjected to a magnetic field corresponding to a discrete system of Aharonov-Bohm solenoids. Let $H^+$ and $H^-$ be the two components of the Pauli operator for spin up and down, respectively. We show that neither $H^+$ nor $H^-$ has a zero mode if the number of solenoids is finite.
Geyler, V. A., Stovicek, P.
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Propagator on theh-deformed Lobachevsky plane [PDF]
Journal of Physics A: Mathematical and General, 1999 The action of the isometry algebra U_h(sl(2)) on the h-deformed Lobachevsky plane is found. The invariant distance and the invariant 2-point functions are shown to agree precisely with the classical ones. The propagator of the Laplacian is calculated explicitely. It is invariant only after adding a `non-classical' sector to the Hilbert space.
Madore, John, Steinacker, Harold
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Ising models on the Lobachevsky plane [PDF]
Communications in Mathematical Physics, 1990 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Series, C. M., Sina\u{\i}, Ya. G.
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Fourier Transform on the Lobachevsky Plane and Operational Calculus [PDF]
Functional Analysis and Its Applications, 2020 11p
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