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Your search keyword '"Giorgio Gubbiotti"' showing total 3 results
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3 results on '"Giorgio Gubbiotti"'

1. The sl2(R) coalgebra symmetry and the superintegrable discrete-time systems

Author

Danilo Latini and Giorgio Gubbiotti

Subjects
Condensed Matter Physics, Mathematical Physics, Atomic and Molecular Physics, and Optics
Abstract

In this paper, we classify all the variational discrete-time systems in quasi-standard form in N degrees of freedom admitting coalgebra symmetry with respect to the generic realisation of the Lie–Poisson algebra sl 2 ( R ) . This approach naturally yields several quasi-maximally and maximally superintegrable discrete-time systems, both known and new. We conjecture that this exhausts the (super)integrable cases associated with this algebraic construction.

Published
2023
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2. Bi-rational maps in four dimensions with two invariants

Author

Nalini Joshi, Giorgio Gubbiotti, Claude-Michel Viallet, Dinh T. Tran, Paris-Centre de Recherche Cardiovasculaire (PARCC - UMR-S U970), Université Paris Descartes - Paris 5 (UPD5)-Institut National de la Santé et de la Recherche Médicale (INSERM)-Hôpital Européen Georges Pompidou [APHP] (HEGP), Assistance publique - Hôpitaux de Paris (AP-HP) (AP-HP)-Hôpitaux Universitaires Paris Ouest - Hôpitaux Universitaires Île de France Ouest (HUPO)-Assistance publique - Hôpitaux de Paris (AP-HP) (AP-HP)-Hôpitaux Universitaires Paris Ouest - Hôpitaux Universitaires Île de France Ouest (HUPO), Laboratoire de Physique Théorique et Hautes Energies (LPTHE), Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS), Viallet, Claude, Université Paris Descartes - Paris 5 (UPD5)-Hôpital Européen Georges Pompidou [APHP] (HEGP), Hôpitaux Universitaires Paris Ouest - Hôpitaux Universitaires Île de France Ouest (HUPO)-Assistance publique - Hôpitaux de Paris (AP-HP) (APHP)-Hôpitaux Universitaires Paris Ouest - Hôpitaux Universitaires Île de France Ouest (HUPO)-Assistance publique - Hôpitaux de Paris (AP-HP) (APHP)-Institut National de la Santé et de la Recherche Médicale (INSERM), Gubbiotti, G., Joshi, N., Tran, D. T., and Viallet, C. -M.

Subjects
Statistics and Probability, Inflation, Pure mathematics, Class (set theory), algebraic entropy, media_common.quotation_subject, FOS: Physical sciences, General Physics and Astronomy, [MATH] Mathematics [math], integrability, 01 natural sciences, [PHYS] Physics [physics], 0103 physical sciences, [NLIN] Nonlinear Sciences [physics], Point (geometry), [NLIN]Nonlinear Sciences [physics], inflation, [MATH]Mathematics [math], 0101 mathematics, Mathematical Physics, Mathematics, media_common, [PHYS]Physics [physics], Nonlinear Sciences - Exactly Solvable and Integrable Systems, Degree (graph theory), Liouville integrability, bi-rational map, 010102 general mathematics, difference equation, Statistical and Nonlinear Physics, Mathematical Physics (math-ph), 37F10, 37J15, 39A10, Modeling and Simulation, 010307 mathematical physics, Exactly Solvable and Integrable Systems (nlin.SI)
Abstract

In this paper we present a class of four-dimensional bi-rational maps with two invariants satisfying certain constraints on degrees. We discuss the integrability properties of these maps from the point of view of degree growth and Liouville integrability., 26 pages. arXiv admin note: text overlap with arXiv:1808.04942

Published
2020
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3. On the inverse problem of the discrete calculus of variations.

Author

Giorgio Gubbiotti

Subjects
*INVERSE problems, *LINEAR differential equations, *PARTIAL differential equations, *FUNCTIONAL equations, *DIFFERENTIAL operators, *CALCULUS of variations
Abstract

In this paper we present an algorithm to find the discrete Lagrangian for an autonomous recurrence relation of arbitrary even order 2k with k  >  1. The method is based on the existence of a set of differential operators called annihilation operators which can be used to convert a functional equation into a system of linear partial differential equations. This completely solves the inverse problem of the calculus of variations in this setting. [ABSTRACT FROM AUTHOR]

Published
2019
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