All Stories

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

    Article • Physics Letters B, August 2025, Elsevier

    Enrique Reyes, Jean-Pierre Magnot

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

    Article • Journal of Differential Equations, December 2024, Elsevier

    Enrique Reyes, Jean-Pierre Magnot

  3. On random pairwise comparisons matrices and their geometry

    Article • Journal of Applied Analysis, March 2024, De Gruyter

    Jean-Pierre Magnot

  4. On Equation Manifolds, the Vinogradov Spectral Sequence, and Related Diffeological Structures

    Article • Symmetry, February 2024, MDPI AG

    Enrique Reyes, Jean-Pierre Magnot

  5. Diffeologies and generalized Kadomtsev-Petviashvili hierarchies

    Article • January 2024, American Mathematical Society (AMS)

    Enrique Reyes, Jean-Pierre Magnot

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

    Article • Dynamics of Partial Differential Equations, January 2024, International Press of Boston

    Enrique Reyes, Jean-Pierre Magnot

  7. On diffeologies from infinite dimensional geometry to PDE constrained optimization

    Article • January 2024, American Mathematical Society (AMS)

    Jean-Pierre Magnot

  8. “The six blind men and the elephant”: An Interdisciplinary Selection of Measurement Features

    Article • January 2024, Springer Science + Business Media

    Jean-Pierre Magnot

  9. On Diffeologies for Power Sets and Measures

    Article • Set-Valued and Variational Analysis, November 2023, Springer Science + Business Media

    Jean-Pierre Magnot

  10. A Kadomtsev–Petviashvili Hierarchy Driven by Equation Manifolds

    Article • Lobachevskii Journal of Mathematics, September 2023, Pleiades Publishing Ltd

    Enrique Reyes, Jean-Pierre Magnot

  11. On diffeological principal bundles of non-formal pseudo-differential operators over formal ones

    Article • Proceedings of the International Geometry Center, August 2023, Odessa National Academy of Food Technologies

    Jean-Pierre Magnot

  12. Frölicher structures, diffieties, and a formal KP hierarchy

    Article • January 2023, American Mathematical Society (AMS)

    Enrique Reyes, Jean-Pierre Magnot

  13. A gradient method for inconsistency reduction of pairwise comparisons matrices

    Article • International Journal of Approximate Reasoning, January 2023, Elsevier

    Jean-Pierre Magnot

  14. Generalized Kadomtsev-Petviashvili: a universal two-dimensional integrable system

    Article • Journal of Mathematical Physics, September 2022, American Institute of Physics

    Enrique Reyes, Jean-Pierre Magnot, Vladimir Roubtsov

  15. On stochastic cosurfaces and topological quantum field theories

    Article • Methods of Functional Analysis and Topology, January 2022, National Pedagogical Dragomanov University

    Jean-Pierre Magnot

  16. On the Kadomtsev-Petviashvili hierarchy in an extended class of formal pseudo-differential operators

    Article • Theoretical and Mathematical Physics, June 2021, Pleiades Publishing Ltd

    Jean-Pierre Magnot

  17. 5-Item Likert Scale and Percentage Scale Correspondence with Implications for the Use of Models with (Fuzzy) Linguistic Variables

    Article • Revista de Métodos Cuantitativos para la Economía y la Empresa, June 2021, Universidad Pablo de Olavide

    Jean-Pierre Magnot

  18. On the geometry of $Diff(S^1)$-pseudodifferential operators based on renormalized traces.

    Article • Proceedings of the International Geometry Center, April 2021, Odessa National Academy of Food Technologies

    Jean-Pierre Magnot

  19. On the differential geometry of numerical schemes and weak solutions of functional equations

    Article • Nonlinearity, October 2020, Institute of Physics Publishing

    Jean-Pierre Magnot

  20. On the domain of implicit functions in a projective limit setting without additional norm estimates

    Article • Demonstratio Mathematica, July 2020, De Gruyter

    Jean-Pierre Magnot

  21. Well-Posedness of the Kadomtsev–Petviashvili Hierarchy, Mulase Factorization, and Frölicher Lie Groups

    Article • Annales Henri Poincaré, March 2020, Springer Science + Business Media

    Jean-Pierre Magnot, Enrique Reyes

  22. On mathematical structures on pairwise comparisons matrices with coefficients in an abstract group arising from quantum gravity

    Article • Heliyon, June 2019, Elsevier

    Jean-Pierre Magnot

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

    Article • Engineering With Computers, January 2019, Springer Science + Business Media

    Jean-Pierre Magnot

  24. Remarks on a New Possible Discretization Scheme for Gauge Theories

    Article • International Journal of Theoretical Physics, March 2018, Springer Science + Business Media

    Jean-Pierre Magnot

  25. The group of diffeomorphisms of a non-compact manifold is not regular

    Article • Demonstratio Mathematica, January 2018, De Gruyter

    Jean-Pierre Magnot

  26. A Mathematical Bridge between Discretized Gauge Theories in Quantum Physics and Approximate Reasoning in Pairwise Comparisons

    Article • Advances in Mathematical Physics, January 2018, Hindawi Publishing Corporation

    Jean-Pierre Magnot

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

    Article • Journal of Nonlinear Mathematical Physics, December 2017, Taylor & Francis

    Jean-Pierre Magnot, Enrique Reyes

  28. The diffeology of Milnor's classifying space

    Article • Topology and its Applications, December 2017, Elsevier

    Jean-Pierre Magnot

  29. On normalization of inconsistency indicators in pairwise comparisons

    Article • International Journal of Approximate Reasoning, July 2017, Elsevier

    Jean-Pierre Magnot

  30. Approximate reasoning by pairwise comparisons

    Article • Physics of Life Reviews, July 2017, Elsevier

    Jean-Pierre Magnot

  31. The Mean Value for Infinite Volume Measures, Infinite Products, and Heuristic Infinite Dimensional Lebesgue Measures

    Article • Journal of Mathematics, January 2017, Hindawi Publishing Corporation

    Jean-Pierre Magnot

  32. Differentiation on spaces of triangulations and optimized triangulations.

    Article • Journal of Physics Conference Series, August 2016, Institute of Physics Publishing

    Jean-Pierre Magnot

  33. On Diff(M)-Pseudo-Differential Operators and the Geometry of Non Linear Grassmannians

    Article • Mathematics, December 2015, MDPI AG

    Jean-Pierre Magnot

  34. From infinitesimal symmetries to deformed symmetries of Lax-type equations

    Article • Journal of Physics Conference Series, September 2015, Institute of Physics Publishing

    Jean-Pierre Magnot

  35. AMBROSE–SINGER THEOREM ON DIFFEOLOGICAL BUNDLES AND COMPLETE INTEGRABILITY OF THE KP EQUATION

    Article • International Journal of Geometric Methods in Modern Physics, August 2013, World Scientific Pub Co Pte Lt

    Jean-Pierre Magnot

  36. Infinite dimensional integrals beyond Monte Carlo methods: yet another approach to normalized infinite dimensional integrals

    Article • Journal of Physics Conference Series, February 2013, Institute of Physics Publishing

    Jean-Pierre Magnot

  37. The Schwinger cocycle on algebras with unbounded operators

    Article • Bulletin des Sciences Mathématiques, March 2008, Elsevier

    Jean-Pierre Magnot

  38. Chern Forms on Mapping Spaces

    Article • Acta Applicandae Mathematicae, March 2006, Springer Science + Business Media

    Jean-Pierre Magnot

  39. Renormalized Traces and Cocycles on the Algebra of S 1-Pseudo-differential Operators

    Article • Letters in Mathematical Physics, January 2006, Springer Science + Business Media

    Jean-Pierre Magnot

  40. Structure groups and holonomy in infinite dimensions

    Article • Bulletin des Sciences Mathématiques, July 2004, Elsevier

    Jean-Pierre Magnot

  41. WEIGHTED TRACES ON ALGEBRAS OF PSEUDO-DIFFERENTIAL OPERATORS AND GEOMETRY ON LOOP GROUPS

    Article • Infinite Dimensional Analysis Quantum Probability and Related Topics, December 2002, World Scientific Pub Co Pte Lt

    Jean-Pierre Magnot