jean-pierre magnot

45
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Publications

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ON THE GEOMETRY OF DIFFEOLOGICAL VECTOR PSEUDO-BUNDLES AND INFINITE DIMENSIONAL VECTOR BUNDLES: AUTOMORPHISMS, CONNECTIONS AND COVARIANT DERIVATIVES

Jean-Pierre Magnot
Carpathian Journal of Mathematics, 2025, 41 (3), pp.687-710
Article dans une revue hal-03721730 v1

Kadomtsev-Petviashvili hierarchies with non-formal pseudo-differential operators, non-formal solutions, and a Yang-Mills–like formulation

Jean-Pierre Magnot , Enrique Reyes
Physics Letters B, 2025, pp.139589. ⟨10.1016/j.physletb.2025.139589⟩
Article dans une revue hal-05080251 v1
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On Equation Manifolds, the Vinogradov Spectral Sequence, and Related Diffeological Structures

Jean-Pierre Magnot , Enrique G Reyes
Symmetry, 2024, 16 (2), pp.192. ⟨10.3390/sym16020192⟩
Article dans une revue hal-04557328 v1

On the Cauchy problem for a Kadomtsev-Petviashvili hierarchy on non-formal operators and its relation with a group of diffeomorphisms

Jean-Pierre Magnot , Enrique Reyes
Dynamics of Partial Differential Equations, 2024, 21 (3), pp.235-260. ⟨10.4310/DPDE.2024.v21.n3.a2⟩
Article dans une revue hal-04693614 v1

Towards a theory of homotopy structures for differential equations: First definitions and examples

Jean-Pierre Magnot , Enrique Reyes , Vladimir Rubtsov
Journal of Differential Equations, 2024, 413, pp.805-827. ⟨10.1016/j.jde.2024.08.057⟩
Article dans une revue hal-04693621 v1
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On the Cauchy problem for a Kadomtsev-Petviashvili hierarchy on non-formal operators and its relation with a group of diffeomorphisms

Jean-Pierre Magnot , Enrique G Reyes
Dynamics of Partial Differential Equations, 2024, 21 (3), pp.235-260. ⟨10.4310/DPDE.2024.v21.n3.a2⟩
Article dans une revue hal-01857150 v2

On random pairwise comparisons matrices and their geometry

Jean-Pierre Magnot
Journal of Applied Analysis, 2024, ⟨10.1515/jaa-2023-0057⟩
Article dans une revue hal-04557318 v1

A gradient method for inconsistency reduction of pairwise comparisons matrices

Jean-Pierre Magnot , Jiří Mazurek , Viera Čerňanová
International Journal of Approximate Reasoning, 2023, 152, pp.46-58. ⟨10.1016/j.ijar.2022.10.005⟩
Article dans une revue hal-03872798 v1
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ON A CLASS OF CLOSED COCYCLES FOR ALGEBRAS OF NON-FORMAL, POSSIBLY UNBOUNDED, PSEUDODIFFERENTIAL OPERATORS

Jean-Pierre Magnot
Methods in functional analysis and topology, In press, ⟨10.31392/MFAT-npu26⟩
Article dans une revue hal-04176432 v1
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ON DIFFEOLOGICAL PRINCIPAL BUNDLES OF NON-FORMAL PSEUDO-DIFFERENTIAL OPERATORS OVER FORMAL ONES

Jean-Pierre Magnot
Proceedings of the International Geometry Center, In press, ⟨10.15673/pigc.v16i2.2298⟩
Article dans une revue hal-03721732 v1

A Kadomtsev-Petviashvili hierarchy driven by equation manifolds

Jean-Pierre Magnot , Enrique Reyes , Vladimir Roubtsov
Lobachevskii Journal of Mathematics, 2023, 44 (9), pp.3963-3972. ⟨10.1134/S1995080223090238⟩
Article dans une revue hal-04176435 v1
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ON A CLASS OF CLOSED COCYCLES FOR ALGEBRAS OF NON-FORMAL, POSSIBLY UNBOUNDED, PSEUDODIFFERENTIAL OPERATORS

Jean-Pierre Magnot
Methods in functional analysis and topology, 2022, 4 (28), pp.309-323. ⟨10.31392/MFAT-npu26_4.2022.04⟩
Article dans une revue hal-03066255 v1
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On a class of closed cocycles for algebras of non-formal, possibly unbounded, pseudodifferential operators

Jean-Pierre Magnot
Methods in functional analysis and topology, 2022, 28 (4), pp.324-332. ⟨10.31392/MFAT-npu26_4.2022.04⟩
Article dans une revue hal-04431152 v1

ON STOCHASTIC COSURFACES AND TOPOLOGICAL QUANTUM FIELD THEORIES

Jean-Pierre Magnot
Methods in functional analysis and topology, 2022, 28 (3), pp.242-258. ⟨10.31392/MFAT-npu26_3.2022.04⟩
Article dans une revue hal-04038685 v1
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ON (t 2 , t 3 )−ZAKHAROV-SHABAT EQUATIONS OF GENERALIZED KADOMTSEV-PETVIASHVILI HIERARCHIES

Jean-Pierre Magnot , Enrique Reyes , Vladimir Rubtsov
Journal of Mathematical Physics, 2022, 63, pp.093501. ⟨10.1063/5.0093238⟩
Article dans une revue hal-03606717 v1
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On the Kadomtsev-Petviashvili hierarchy in an extended class of formal pseudo-differential operators

Jean-Pierre Magnot , Vladimir Roubtsov
Theoretical and Mathematical Physics, 2021, 207 (3), pp.799-826. ⟨10.1134/s004057792106009x⟩
Article dans une revue hal-03104685 v1
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ON THE GEOMETRY OF Dif f (S 1 )−PSEUDODIFFERENTIAL OPERATORS BASED ON RENORMALIZED TRACES

Jean-Pierre Magnot
Proceedings of the International Geometry Center, 2021, 14 (1), pp.19-47. ⟨10.15673/tmgc.v14i1.1784⟩
Article dans une revue hal-02887578 v1
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The 5-Item Likert Scale and Percentage Scale Correspondence with Implications for the Use of Models with (Fuzzy) Linguistic Variables

Jiří Mazurek , Cristina Pérez Rico , Carlos Fernández García , Jean-Pierre Magnot , Tristan Magnot
Revista de Métodos Cuantitativos para la Economía y la Empresa, 2021, 31, pp.3-16. ⟨10.46661/revmetodoscuanteconempresa.4010⟩
Article dans une revue hal-03194889 v1
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ON THE DIFFERENTIAL GEOMETRY OF NUMERICAL SCHEMES AND WEAK SOLUTIONS OF FUNCTIONAL EQUATIONS

Jean-Pierre Magnot
Nonlinearity, 2020, 33 (12)
Article dans une revue hal-01961436 v1

A new fusion of salp swarm with sine cosine for optimization of non-linear functions

Narinder Singh , Le Hoang Son , Francisco Chiclana , Jean-Pierre Magnot
Engineering with Computers, 2020, 36 (1), pp.185-212. ⟨10.1007/s00366-018-00696-8⟩
Article dans une revue hal-02497137 v1
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On the domain of implicit functions in a projective limit setting without additionnal norm estimates

Jean-Pierre Magnot
Demonstratio Mathematica, 2020, 53 (1), pp.112-120
Article dans une revue hal-01626434 v1

Well-posedness of the Kadomtsev-Petviashvili hierarchy, Mulase factorization, and Frölicher Lie groups

Jean-Pierre Magnot , Enrique G. Reyes
Annales Henri Poincaré, 2020, 21 (6), pp.1893-1945. ⟨10.1007/s00023-020-00896-3⟩
Article dans une revue hal-02497053 v1
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ON MATHEMATICAL STRUCTURES ON PAIRWISE COMPARISONS MATRICES WITH COEFFICIENTS IN A GROUP ARISING FROM QUANTUM GRAVITY

Jean-Pierre Magnot
Heliyon, 2019, 5, https://www.heliyon.com/article/e01821/. ⟨10.1016/j.heliyon.2019.e01821⟩
Article dans une revue hal-01835958 v1
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Remarks on the geometry and the topology of the loop spaces $H^{s}(S^1, N),$ for $s\leq 1/2.$

Jean-Pierre Magnot
International Journal of Maps in Mathematics, 2019, pp.14 - 37
Article dans une revue hal-02285964 v1
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On Multidisciplinary Potential Applications of Gauge Theories

Jean-Pierre Magnot
Biostat Biometrics Open Acc J, 2018, 7
Article dans une revue hal-01831645 v1
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The group of diffeomorphisms of a non-compact manifold is not regular

Jean-Pierre Magnot
Demonstratio Mathematica, 2018, 51 (1), pp.8 - 16. ⟨10.1515/dema-2018-0001⟩
Article dans une revue hal-01831632 v1
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A Mathematical Bridge between Discretized Gauge Theories in Quantum Physics and Approximate Reasoning in Pairwise Comparisons

Jean-Pierre Magnot
Advances in Mathematical Physics, 2018, 2018, pp.1 - 5. ⟨10.1155/2018/7496762⟩
Article dans une revue hal-01831631 v1

The diffeology of Milnor's classifying space

Jean-Pierre Magnot , Jordan Watts
Topology and its Applications, 2017, 232, pp.189 - 213. ⟨10.1016/j.topol.2017.10.011⟩
Article dans une revue hal-01630990 v1
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From Configurations to Branched Configurations and Beyond

Jean-Pierre Magnot
Research and Reports on Mathematics, 2017, 1
Article dans une revue hal-01834883 v1

The Cauchy problem of the Kadomtsev-Petviashvili hierarchy with arbitrary coefficient algebra

Jean-Pierre Magnot , Anahita Eslami Rad , Enrique G. Reyes
Journal of Nonlinear Mathematical Physics, 2017, 24 (sup1), pp.103 - 120. ⟨10.1080/14029251.2017.1418057⟩
Article dans une revue hal-01673481 v1

On diffeologies from infinite dimensional geometry to PDE constrained optimization

Jean-Pierre Magnot , Kathrin Welker , Nico Goldammer
Recent advances in diffeologies and their applications. AMS-EMS-SMF special session, Université de Grenoble-Alpes, Grenoble, France, July 18–20, 2022, Jul 2022, Grenoble, France. ⟨10.1090/conm/794/15938⟩
Communication dans un congrès hal-04557282 v1

Diffeologies and generalized Kadomtsev-Petviashvili hierarchies

Jean-Pierre Magnot , Vladimir Roubtsov , Enrique Reyes , Anahita Eslami Rad
Recent advances in diffeologies and their applications. AMS-EMS-SMF special session, Université de Grenoble-Alpes, Grenoble, France, July 18–20, 2022, Jul 2022, grenoble, France. ⟨10.1090/conm/794/15938⟩
Communication dans un congrès hal-04557312 v1
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Frölicher structures, diffieties, and a formal KP hierarchy

Jean-Pierre Magnot , Enrique G Reyes , Vladimir Rubtsov
A. Vinovradov's memorial conference, Dec 2021, Moscow, Russia
Communication dans un congrès hal-03915305 v1
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Diffeologies and generalized Kadomtsev-Petviashvili hierarchies

Anahita Eslami Rad , Jean-Pierre Magnot , Enrique G Reyes , Vladimir Rubtsov
AMS-EMS-SMF meeting - special session "recent advances on diffeologies and their applications", Jul 2022, Grenoble, France
Communication dans un congrès hal-04176433 v1
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On diffeologies from infinite dimensional geometry to PDE constrained optimization

Nico Goldammer , Jean-Pierre Magnot , Kathrin Welker
AMS-EMS-SMF meeting, special session "recent advances on diffeologies and their applications", 2022, Grenoble, France
Communication dans un congrès halshs-03988168 v1

The Cauchy problem of the Kadomtsev-Petviashvili hierarchy and infinite-dimensional groups

Jean-Pierre Magnot , Enrique G. Reyes
Nonlinear Systems and Their Remarkable Mathematical Structures: Volume 2, 2019
Chapitre d'ouvrage hal-02457137 v1
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Contributions to infinite dimensional geometry and analysis

Jean-Pierre Magnot
Mathematical Physics [math-ph]. Université de Cergy Pontoise, 2022
HDR tel-04176431 v1