[54] Magnot, J-P.; On smooth infinite dimensional grassmanians, splittings and non-commutative generalized cross-ratio mappings. arXiv:2404.16888 submitted

[53] Magnot, J-P. ;  Reyes, E. G.; Rigid body equations on spaces of pseudo-differential operators with renormalized trace arXiv:2104.08159 References HAL:hal-03194881 Submitted

[52] Magnot, J-P. ; Inconsistency in pairwise comparisons as an Abelian Yang-Mills theory. References HAL:hal-03091527 submitted

[51] Magnot, J-P.; On algebras and groups of formal series over a small category and application to some spaces of cobordism arXiv:1507.00932 References HAL:hal-01961439 

[50] Magnot, J-P. ; On the geometry of diffeological vector pseudo-bundles and infinite dimensional vector bundles: automorphisms, connections and covariant derivatives. Carpathian Journal of Mathematics in press

[49] Magnot, J-P.;  Reyes, E. G.;Rubtsov, V. ; Towards a theory of homotopy structures for differential equations: first definitions and examples. Journal of Differential Equations In press

[48] Ellingsen, A.; Lundholm, D.; Magnot, J-P.; "the six blind men and the elephant": an interdisciplinary selection to measurement features. “The six blind men and the elephant”: An Interdisciplinary Selection of Measurement Features. In: Kielanowski, P., Beltita, D., Dobrogowska, A., Goliński, T. (eds) Geometric Methods in Physics XL. WGMP 2023. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-62407-0_20 

[47] Magnot, J-P.; On random pairwise comparisons matrices and their geometry. Journal of Applied Analysis in press. 

[46] Magnot, J-P.; Reyes, E.G.; On equation manifolds, the Vinogradov spectral sequence, and related diffeological structures Symmetry 16 no.2, article  192 (2024)

[45] Magnot, J-P. ;  Reyes, E. G.;On the Cauchy problem for a Kadomtsev-Petviashvili hierarchy on non-formal operators and its relation with a group of diffeomorphisms. Dynamics of Partial Differential Equations 21 no. 3, 335-360 (2024)

[44] Goldammer, N. ; Magnot, J-P.; Welker, K. ; On diffeologies from infinite dimensional geometry to PDE constrained optimization. Contemporary Math., 794, 1-48 (2024)

[43] Eslami-Rad, A.; Magnot, J-P.;  Reyes, E. G.;Rubtsov, V. ; Diffeologies and generalized Kadomtsev-Petviashvili hierarchies. Contemporary Math., 794, 211-222 (2024)

[42] Ahmadi, A.; Magnot, J-P.., On diffeology for powersets and measures. Set-Valued and Variational Analysis 31 no. 4, article 41, 33p. (2023)

[41] Magnot, J-P. ; On diffeological principal bundles of non-formal pseudo-differential operators over formal ones.  Proceedings of the International Geometry Center 16 no.2, 125-141 (2023)

[40] Magnot, J-P.;  Reyes, E. G.;Rubtsov, V. ; A Kadomtsev-Petviashvili hierarchy driven by equation manifolds. Lobachevski Journal of Mathematics 44 no. 12, 3963-3972 (2023). 

[39] Magnot, J-P. ; Marzurek, J. ; Cernanova, V. ; On an application of the gradient method to consistencization. Int. J. Approx. Reasoning 152, 46-58 (2023)

[38] Magnot, J-P.;  Reyes, E. G.; Rubtsov, V. ; Frölicher structures, diffieties, and a formal KP hierarchy. Contemporary Math., 789, 183-196 (2023). 

[37] Magnot, J-P.; On a class of closed cocycles for algebras of non-formal, possibly unbounded, pseudodifferential operators. Methods of Functional Analysis and Topology 28 no 4 328-332 (2022)

[36] Magnot, J-P.; On stochastic cosurfaces and topological quantum field theories. Methods of Functional Analysis and Topology 28 no3, 242-258 (2022)

[35] Magnot, J-P.;  Reyes, E. G.; Rubtsov, V.; On (t2,t3) Zakharov-Shabat equations of generalized Kadomtsev-Petviashvili hierarchies Journal of Mathematical Physics 63, 093501 (2022)  

[34] Magnot, J-P. ; Rubtsov, V. ; On the Kadomtsev-Petviashvili hierarchy in an extended class of formal pseudo-differential operators Theoretical and Mathematical Physics 207, no3, 799-826 (2021) Preprint version 

[33] Mazurek, J.; Perez Rico, C.; Fernandez, C.; Magnot, J-P.; Magnot, T.; The 5-Item Likert Scale and Percentage Scale Correspondence with Implications for the Use of Models with (Fuzzy) Linguistic Variables. Journal of Quantitative Methods for Economics and Business Administration Volume 31 dx.doi.org/10.46661/revmetodoscuanteconempresa.4010 

[32] Magnot, J-P.; On the geometry of S^1-pseudodifferential operators based on renormalized traces Proceedings of the International  Geometry Center 14, No. 1, 19-48 (2021). doi.org/10.15673/tmgc.v14i1.1784 

[31] Magnot, J-P.; On the differential geometry of numerical schemes and weak solutions of functional equations Nonlinearity 33, no 12, 6835-6867 (2020) doi.org/10.1088/1361-6544/abaa9f preprint (before corrections following referee's reports):arxiv.org/pdf/1607.02636 

[30] Magnot, J-P. ; On the domain of implicit functions without extra norm estimates. Demonstr. Math. 53, no1, 112-120 (2020) doi.org/10.1515/dema-2020-0008 

[29] Magnot, J-P.; Reyes, E. G.; Well-posedness of the Kadomtsev-Petviashvili hierarchy, Mulase factorization and Frölicher Lie groups. Ann. H. Poincaré 21, no6 1893-1945 (2020) doi.org/10.1007/s00023-020-00896-3 

[28] Singh, N.; Son, L. H.; Chiclana, F.; Magnot, J-P.; A new fusion of salp swarm with sine cosine for optimisation of nonlinear functions Engineering with computers 36 185-212 (2020) References HAL: hal-01989762 (publication) doi.org/10.1007/s00366-018-00696-8 

[27] Magnot, J-P. Reyes, E.G.; The Cauchy problem of the Kadomtsev-Petviashvili hierarchy and infinite-dimensional groups. in Nonlinear Systems and Their Remarkable Mathematical Structures, Volume 2; Norbert Euler and Maria Clara Nucci Editors, CRC press (2019) section B6 Buy the book on Amazon

[26] Magnot, J-P. ; On mathematical structures on pairwise comparisons matrices with coefficients in a group arising from quantum gravity Heliyon 5 (2019) e01821 References HAL:hal-01835958 doi.org/10.1016/j.heliyon.2019.e01821 Preprint version: arxiv.org/pdf/1608.07468 

[25] Magnot, J-P. Remarks on the geometry and the topology of for Int. J. Maps Math. 2 (2019), pp.14 - 37 References HAL:hal-02285964 www.journalmim.com/index.php/ijmm/article/view/29/24 

[24] Magnot, J-P.; Remarks on a new possible discretization scheme for gauge theories Int. J. Theoret. Phys. 57 no 7, 2093–2102(2018) References HAL: hal-01831635v1 (publication) https://doi.org/10.1007/s10773-018-3733-3 

[23] Magnot, J-P.; On multidisciplinary applications of gauge theories Biostat. Biomet. Open access J. 7 no1, art. ID.555701 (2018) References HAL: hal-01831645v1 (publication, invited contribution)

[22] Magnot, J-P: The group of diffeomorphisms of a non compact manifold is not regular Demonstr. Math. 51, no1, 8–16 (2018) References HAL: hal-01831632v1 (publication) and hal-01653814v1 (preprint)  https://doi.org/10.1515/dema-2018-0001 

[21] Magnot, J-P. ; A mathematical bridge between discretized gauge theories in quantum physics and approximate reasoning in pairwise comparisons Adv. Math. Phys. Volume 2018 , Article ID 7496762, 5 pages References HAL: hal-01831631 (publication) and hal-01626435 (preprint)  https://doi.org/10.1155/2018/7496762 (2018)

[20] Elsami-Rad, A. ; Magnot, J-P. ; Reyes, E. ; The Cauchy problem of the Kadomtsev-Petviashvili hierarchy with arbitrary coefficient algebra; J. Nonlinear Math. Phys. 24, supp. Issue 1, 103-120 (2017) References HAL: hal-01673481v1 (publication, invited paper) doi.org/10.1080/14029251.2017.1418057 

[19] Magnot; J-P., Watts, J.; The diffeology of Milnor's classifying space. Topology and its applications 232, 189-213 (2017) References HAL: hal-01630990v1 (publication) doi.org/10.1016/j.topol.2017.10.011 , preprint version:arxiv.org/pdf/1606.06680 

Affiliation: Lycée Jeanne d'Arc (2012-2017)

[18] Kakiashvili, T.; Koczkodaj, W.W.; Magnot, J-P.; Approximate reasoning as a possible supplement to “Topodynamics of metastable brain” by A. Tozzi and al. Phys. Of Life Rev. Volume 21, July 2017, Pages 37-39 (2017) doi.org/10.1016/j.plrev.2017.04.001 

[17] Magnot, J-P. ; From configurations to branched configurations and beyond Res Rep Math 1 no1 art. ID 1000105 (2017) www.scitechnol.com/peer-review/from-configurations-to-branched-configurations-and-beyond-aZoA.pdf 

[16] Koczkodaj, W.W; Magnot, J-P.; Mazurek, J.; Peters, J.F.; Rakhshani, H.; Soltys, M.; Strzalka, D.; Szybowski, J.; Tozzi, A.;On normalization of inconsistency indicators in pairwise comparisons Int. J. of Approx. Reasoning 86 73–79 (2017) doi.org/10.1016/j.ijar.2017.04.005 

[15] Magnot, J-P.; The mean value for infinite volume measures, infinite products and heuristic infinite dimensional Lebesgue measure. J. Math. Vol. 2017 Article ID 9853672, 14 pages (2017) doi.org/10.1155/2017/9853672 

[14] Magnot, J-P.; Differentiation on spaces of triangulations and optimized triangulations. 5th international conference in mathematical modelling in physical science (IC-MSquare 2016) J. Phys: Conf. Ser. 738 article ID 012088 (2016) iopscience.iop.org/article/10.1088/1742-6596/738/1/012088 

[13] Magnot, J-P.; On Diff(M)-pseudo-differential operators and the geometry of non linear grassmannians Mathematics 4 no1, article ID 1 (2016) doi.org/10.3390/math4010001 

[12] Magnot, J-P.; q-deformed Lax equations and their differential geometric background ; Lambert Academic Publishing, Saarbrucken, Germany (2015) Buy on Amazon

[11] Magnot, J-P.; From infinitesimal symmetries to deformed symmetries of Lax-type equations. 4th international conference in mathematical modelling in physical science (IC-MSquare 2015) \J. Phys. Conf. Ser. 633 article ID 012013 (2015) dx.doi.org/10.1088/1742-6596/633/1/012013 

[10] Magnot, J-P.; Ambrose-Singer theorem on diffeological bundles and complete integrability of the KP equation; Int. J. Geom. Meth. Mod. Phys. 10, no9, article ID 1350043 (2013) doi.org/10.1142/S0219887813500436 Preprint: arxiv.org/abs/1007.3543 

[9] Magnot, J-P.; Infinite dimensional integrals beyond Monte Carlo methods: yet another approach to normalized infinite dimensional integrals; IC-MSQUARE 2012: International Conference on Mathematical Modelling in Physical Sciences 3–7 September 2012, Budapest, Hungary; J. Phys.: Conf. Ser. 410 012003 (2013) iopscience.iop.org/article/10.1088/1742-6596/410/1/012003/pdf 

Affiliation: university of Bonn, Germany (2002-2008)

[8] Magnot, J-P.; The Schwinger cocycle on algebras with unbounded operators; Bull. Sci. Math. 132 no2, 112-127 (2008) www.sciencedirect.com/science/article/pii/S0007449706000777 

[7] Magnot, J-P.; Difféologie sur le fibré principal d’holonomie en dimension infinie. C. R. Math. Soc. Roy. Can.28 no4, 121-128 (2006) Scanned printable version

[6] Magnot, J-P.; Chern forms on Mapping spaces. Acta Appl. Math 91, no1, 67-95 (2006). doi.org/10.1007/s10440-006-9016-7 Preprint version

[5] Magnot, J-P.; Renormalized traces and cocycles on the algebra of -pseudo-differential operators. Lett. Math.Phys.75 no2, 111-127 (2006) doi.org/10.1007/s11005-005-0033-7 

[4] Magnot, J-P.; Structure groups and Holonomy in infinite dimensions ; Bull. Sci. Math.128, 513-529 (2004) www.sciencedirect.com/science/article/pii/S0007449704000405?via%3Dihub 

[3] Magnot, J-P.; The Kahler form on the loop group and the Radul cocycle on Pseudo-differential Operators; GROUP’24: Physical and Mathematical aspects of symmetries, Paris, France, 15-20 July 2002; Institut of Physics conferences Publishing 173, 671-675, IOP (2003)

Affiliation: University Blaise Pascal, Clermont-Ferrand, France (1998-2002)

[2] Cardona, A.; Ducourtioux,C.; Magnot, J-P.; Paycha,S.; Weighted traces on the algebra of pseudo-differential operators and the geometry of loop groups; Infin. Dim. Anal. Quant. Prob. Rel. Top. 5 no4, 504-540 (2002)

[1] Magnot, J-P.; Sur la géométrie des variétés d’applications pointées ; in : Actes du colloque CNR’IUT 2000, Bourges, Juin 2000, Presses Universitaire d’Orléans (2001)