Suchergebnisse - "[MATH.MATH-QA] Mathematics [math]/Quantum Algebra [math.QA]"

Two-row Delta Springer varieties

Autoren: Lacabanne, Abel Vaz, Pedro Wilbert, Arik et al.

Weitere Verfasser: Lacabanne, Abel Vaz, Pedro Wilbert, Arik et al.

Quelle: Algebraic combinatorics, Vol. 8, no. 4, p. 925-953 (2025)

Schlagwörter: [MATH.MATH-QA] Mathematics [math]/Quantum Algebra [math.QA], Representation Theory, action on homology, Springer theory, [MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], Quantum Algebra, Combinatorics, flag varieties, Primary: 14M15, Secondary: 05E10, 20C08, FOS: Mathematics, Quantum Algebra (math.QA), Combinatorics (math.CO), [MATH.MATH-RT] Mathematics [math]/Representation Theory [math.RT], Representation Theory (math.RT), degenerate affine Hecke algebra

Dateibeschreibung: application/pdf

Zugangs-URL: http://arxiv.org/abs/2407.10792
https://hdl.handle.net/2078.1/291073

Higher Rank Askey–Wilson Algebras as Skein Algebras

Autoren: Cooke, Juliet Lacabanne, Abel

Weitere Verfasser: Cooke, Juliet Lacabanne, Abel

Quelle: Annales de l'Institut Fourier. :1-63

Schlagwörter: Quantum Algebra, [MATH.MATH-QA] Mathematics [math]/Quantum Algebra [math.QA], FOS: Mathematics, Quantum Algebra (math.QA), 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/pdf

Zugangs-URL: http://arxiv.org/abs/2205.04414
https://hal.science/hal-04226693v1/document
https://doi.org/10.5802/aif.3729
https://hal.science/hal-04226693v1

On the noncommutative Poisson geometry of certain wild character varieties

Autoren: Fairon, Maxime Fernández, David

Weitere Verfasser: Fairon, Maxime Fernández, David

Quelle: Journal of Noncommutative Geometry. 19:765-821

Schlagwörter: [MATH.MATH-QA] Mathematics [math]/Quantum Algebra [math.QA], multiplicative moment maps, fission algebras, 01 natural sciences, wild character varieties, [MATH.MATH-SG] Mathematics [math]/Symplectic Geometry [math.SG], Kontsevich-Rosenberg principle, Double quasi-Poisson brackets, quivers, Mathematics - Symplectic Geometry, multiplicative quiver varieties, Mathematics - Quantum Algebra, FOS: Mathematics, multiplicative preprojective algebras, Quantum Algebra (math.QA), Symplectic Geometry (math.SG), 0101 mathematics, Representation Theory (math.RT), H_0-Poisson structures, Van den Bergh spaces, Mathematics - Representation Theory

Dateibeschreibung: application/pdf

Zugangs-URL: http://arxiv.org/abs/2103.10117
https://hal.science/hal-05032739v1/document
https://hal.science/hal-05032739v1
https://doi.org/10.4171/jncg/619

Framization of Schur–Weyl duality and Yokonuma–Hecke type algebras

Autoren: Lacabanne, Abel Poulain D’andecy, Loïc Laboratoire de Mathématiques Blaise Pascal (LMBP) et al.

Weitere Verfasser: Lacabanne, Abel Poulain D’andecy, Loïc Laboratoire de Mathématiques Blaise Pascal (LMBP) et al.

Quelle: Annals of Representation Theory. 2:1-35

Schlagwörter: framization, framed braid group, [MATH.MATH-QA] Mathematics [math]/Quantum Algebra [math.QA], [MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT], 20F36, Yokonuma-Hecke algebras, 20C08, 17B37, 20F36, Geometric Topology (math.GT), 17B37, Mathematics - Geometric Topology, [MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT], Schur-Weyl duality, Mathematics - Quantum Algebra, [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA], FOS: Mathematics, Quantum Algebra (math.QA), tied braid algebra, [MATH.MATH-RT] Mathematics [math]/Representation Theory [math.RT], Representation Theory (math.RT), MSC: 20C08, Mathematics - Representation Theory, [MATH.MATH-GT] Mathematics [math]/Geometric Topology [math.GT]

Dateibeschreibung: application/pdf

Zugangs-URL: http://arxiv.org/abs/2312.14796
https://hal.science/hal-04696279v1
https://doi.org/10.5802/art.20
https://hal.science/hal-04696279v1/document

Quantum Signal Processing Based Grover's Adaptative Search Oracle for High Order Unconstrained Binary Optimization Problems

Autoren: Robin OLLIVE Stephane LOUISE CEA, Contributeur MAP

Weitere Verfasser: Robin OLLIVE Stephane LOUISE CEA, Contributeur MAP

Quelle: 2024 IEEE International Conference on Quantum Computing and Engineering (QCE). :256-261

Schlagwörter: Quadratic Unconstrained Binary Optimization (QUBO), High order Unconstrained Binary Optimization (HUBO), [MATH.MATH-QA] Mathematics [math]/Quantum Algebra [math.QA], Grover's Adaptative Search (GAS), [INFO.INFO-IT] Computer Science [cs]/Information Theory [cs.IT], Quantum Signal Processing (QSP), [PHYS.QPHY] Physics [physics]/Quantum Physics [quant-ph]

Dateibeschreibung: application/pdf

Zugangs-URL: https://cea.hal.science/cea-04975090v1
https://cea.hal.science/cea-04975090v1/document
https://doi.org/10.1109/qce60285.2024.10288

Bialgebra cohomology and exact sequences

Autoren: Bichon, Julien

Weitere Verfasser: Bichon, Julien

Quelle: Comptes Rendus. Mathématique, Vol 362, Iss G11, Pp 1475-1483 (2024)

Schlagwörter: 0301 basic medicine, [MATH.MATH-QA] Mathematics [math]/Quantum Algebra [math.QA], K-Theory and Homology (math.KT), bialgebra cohomology, 01 natural sciences, [MATH.MATH-KT] Mathematics [math]/K-Theory and Homology [math.KT], 03 medical and health sciences, Hopf algebras, Yetter–Drinfeld modules, Mathematics - K-Theory and Homology, Mathematics - Quantum Algebra, QA1-939, FOS: Mathematics, Quantum Algebra (math.QA), 0101 mathematics, Mathematics

Dateibeschreibung: application/pdf

Zugangs-URL: http://arxiv.org/abs/2309.10434
https://doaj.org/article/c9c0cf30e78b417dbd3be5e2ff7b8008
https://cnrs.hal.science/hal-04210021v1/document
https://cnrs.hal.science/hal-04210021v1
https://doi.org/10.5802/crmath.659

Lie, associative and commutative quasi-isomorphism

Autoren: Campos, Ricardo Petersen, Dan Robert-Nicoud, Daniel et al.

Weitere Verfasser: Campos, Ricardo Petersen, Dan Robert-Nicoud, Daniel et al.

Quelle: Acta Mathematica

Schlagwörter: [MATH.MATH-QA] Mathematics [math]/Quantum Algebra [math.QA], [MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT], [MATH.MATH-RA]Mathematics [math]/Rings and Algebras [math.RA], K-Theory and Homology (math.KT), [MATH.MATH-AT] Mathematics [math]/Algebraic Topology [math.AT], Mathematics - Rings and Algebras, 01 natural sciences, [MATH.MATH-KT] Mathematics [math]/K-Theory and Homology [math.KT], Rings and Algebras (math.RA), [MATH.MATH-AT]Mathematics [math]/Algebraic Topology [math.AT], Mathematics - K-Theory and Homology, Mathematics - Quantum Algebra, [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA], [MATH.MATH-KT]Mathematics [math]/K-Theory and Homology [math.KT], [MATH.MATH-RA] Mathematics [math]/Rings and Algebras [math.RA], FOS: Mathematics, Algebraic Topology (math.AT), Quantum Algebra (math.QA), Mathematics - Algebraic Topology, [MATH.MATH-RT] Mathematics [math]/Representation Theory [math.RT], 0101 mathematics, Representation Theory (math.RT), Mathematics - Representation Theory

Dateibeschreibung: application/pdf

Zugangs-URL: http://arxiv.org/abs/1904.03585
https://dare.uva.nl/personal/pure/en/publications/lie-associative-and-commutative-quasiisomorphism(422b56ee-8148-4caf-b5a4-c6bc513cb2ce).html
https://hdl.handle.net/11245.1/422b56ee-8148-4caf-b5a4-c6bc513cb2ce
https://doi.org/10.4310/ACTA.2024.v233.n2.a1
http://hdl.handle.net/21.11116/0000-000F-6A3A-A
http://hdl.handle.net/21.11116/0000-000F-6A38-C
https://hal.science/hal-02127767v1
https://doi.org/10.4310/acta.2024.v233.n2.a1

Numerical experiments using block-diagonalization technique for solving Poisson’s equation

Autoren: Mang, Chetra Ty, Sunheang Tahmasebimoradi, Axel et al.

Weitere Verfasser: Mang, Chetra Ty, Sunheang Tahmasebimoradi, Axel et al.

Schlagwörter: [MATH.MATH-QA] Mathematics [math]/Quantum Algebra [math.QA], [SPI] Engineering Sciences [physics], Quantum Singular Value Transformation, Partial differential equation, [INFO] Computer Science [cs], Finite difference method, Block diagonalization

Zugangs-URL: https://hal.science/hal-05269586v1

Valuations on the character variety: Newton polytopes and residual Poisson bracket

Autoren: Marché, Julien Simon, Christopher-Lloyd

Weitere Verfasser: Marché, Julien Simon, Christopher-Lloyd

Quelle: Geometry & Topology. 28:593-625

Schlagwörter: [MATH.MATH-QA] Mathematics [math]/Quantum Algebra [math.QA], Goldman Poisson bracket, measured lamination, Geometric Topology (math.GT), 01 natural sciences, Mathematics - Geometric Topology, real tree, symplectic structure, Character variety, skein algebra, FOS: Mathematics, Newton polytope, surface group, [MATH.MATH-RT] Mathematics [math]/Representation Theory [math.RT], 0101 mathematics, valuation, [MATH.MATH-GR] Mathematics [math]/Group Theory [math.GR], [MATH.MATH-GT] Mathematics [math]/Geometric Topology [math.GT]

Dateibeschreibung: application/pdf

Zugangs-URL: http://arxiv.org/abs/2104.04340
https://hal.science/hal-04188914v1/document
https://hal.science/hal-04188914v1
https://doi.org/10.2140/gt.2024.28.593

Twisted separability for adjoint functors

Autoren: Bichon, Julien

Weitere Verfasser: Bichon, Julien

Quelle: Theory and Applications of Categories. 41:150-167

Schlagwörter: [MATH.MATH-QA] Mathematics [math]/Quantum Algebra [math.QA], Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Mathematics - Category Theory, Category Theory (math.CT), [MATH.MATH-CT] Mathematics [math]/Category Theory [math.CT]

Dateibeschreibung: application/pdf

Zugangs-URL: http://arxiv.org/abs/2307.05980
https://cnrs.hal.science/hal-04157026v1/document
https://cnrs.hal.science/hal-04157026v1

A formula to evaluate type-A webs and link polynomials

Autoren: Lacabanne, Abel Tubbenhauer, Daniel Vaz, Pedro et al.

Weitere Verfasser: Lacabanne, Abel Tubbenhauer, Daniel Vaz, Pedro et al.

Quelle: Arkiv för Matematik, Vol. 62, p. 83-101 (2024)

Schlagwörter: [MATH.MATH-QA] Mathematics [math]/Quantum Algebra [math.QA], categorical skew Howe duality, Webs and spiders, KLR algebras, Geometric Topology (math.GT), Primary: 18M15, Secondary: 17B37, 18N25, 57K14, 01 natural sciences, Mathematics - Geometric Topology, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), [MATH.MATH-RT] Mathematics [math]/Representation Theory [math.RT], 0101 mathematics, Representation Theory (math.RT), link polynomials, Mathematics - Representation Theory, web algebras, [MATH.MATH-GT] Mathematics [math]/Geometric Topology [math.GT]

Dateibeschreibung: application/pdf

Zugangs-URL: http://arxiv.org/abs/2209.12169
https://hdl.handle.net/2078.1/265431

RTD-Lite: Scalable Topological Analysis for Comparing Weighted Graphs in Learning Tasks

Autoren: Tulchinskii, Eduard Voronkova, Daria Trofimov, Ilya et al.

Weitere Verfasser: Tulchinskii, Eduard Voronkova, Daria Trofimov, Ilya et al.

Quelle: 28th International Conference on Artificial Intelligence and Statistics
https://hal.science/hal-05321777
28th International Conference on Artificial Intelligence and Statistics, May 2025, Mai Khao, Thailand. pp.3826-3834
https://proceedings.mlr.press/v258/tulchinskii25a.html

Schlagwörter: [MATH.MATH-AT]Mathematics [math]/Algebraic Topology [math.AT], [INFO.INFO-AI]Computer Science [cs]/Artificial Intelligence [cs.AI], [STAT.ML]Statistics [stat]/Machine Learning [stat.ML], [INFO.INFO-CG]Computer Science [cs]/Computational Geometry [cs.CG], [INFO.INFO-CL]Computer Science [cs]/Computation and Language [cs.CL], [INFO.INFO-CV]Computer Science [cs]/Computer Vision and Pattern Recognition [cs.CV], [INFO.INFO-LG]Computer Science [cs]/Machine Learning [cs.LG], [INFO.INFO-NE]Computer Science [cs]/Neural and Evolutionary Computing [cs.NE], [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA], [MATH.MATH-SG]Mathematics [math]/Symplectic Geometry [math.SG]

Geographisches Schlagwort: Mai Khao, Thailand

Verfügbarkeit: https://hal.science/hal-05321777
https://hal.science/hal-05321777v1/document
https://hal.science/hal-05321777v1/file/2503.11910v1.pdf

Annular webs and Levi subalgebras

Autoren: Lacabanne, Abel Tubbenhauer, Daniel Vaz, Pedro et al.

Weitere Verfasser: Lacabanne, Abel Tubbenhauer, Daniel Vaz, Pedro et al.

Quelle: journal of combinatorial algebra, Vol. 3/4, p. 283-326 (2023)

Schlagwörter: [MATH.MATH-QA] Mathematics [math]/Quantum Algebra [math.QA], Primary: 17B37 Secondary: 18M05, 18M15, 20C08, Representations of quantum general linear groups and Levi subalgebras, generalized blob algebras, annular webs, Geometric Topology (math.GT), 01 natural sciences, diagrammatic presentation, Mathematics - Geometric Topology, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), [MATH.MATH-RT] Mathematics [math]/Representation Theory [math.RT], 0101 mathematics, Representation Theory (math.RT), quantum skew Howe duality, Mathematics - Representation Theory, [MATH.MATH-GT] Mathematics [math]/Geometric Topology [math.GT]

Dateibeschreibung: application/pdf

Zugangs-URL: http://arxiv.org/abs/2204.00947
https://hdl.handle.net/2078.1/259981
https://hal.science/hal-04225965v1/document
https://hal.science/hal-04225965v1
https://doi.org/10.4171/jca/76

Enhancing NTRUEncrypt Security Using Markov Chain Monte Carlo Methods: Theory and Practice

Autoren: Filardo, Gautier-Edouard Heckmann, Thibaut Efrei Research Lab et al.

Weitere Verfasser: Filardo, Gautier-Edouard Heckmann, Thibaut Efrei Research Lab et al.

Quelle: ISSN: 3066-1226 ; Global Journal of Engineering Innovations and Interdisciplinary Research ; https://hal.science/hal-05335053 ; Global Journal of Engineering Innovations and Interdisciplinary Research, 2025, GJEIIR, Vol 2 (Issue 1), p. 1-6 ; https://www.sciencexcel.com/articles/ovtRtTLu6kZMp5xDqICM1xjJRYiWUfkGCoE8G0HR.pdf.

Schlagwörter: Quantum resistance, Markov Chain Monte Carlo, Post-quantum security, Lattice-based cryptography, NTRUEncrypt, NTRUEncrypt Lattice-based cryptography Post-quantum security Markov Chain Monte Carlo Quantum resistance, [INFO.INFO-CR]Computer Science [cs]/Cryptography and Security [cs.CR], [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA], [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph]

Verfügbarkeit: https://hal.science/hal-05335053
https://hal.science/hal-05335053v1/document
https://hal.science/hal-05335053v1/file/ovtRtTLu6kZMp5xDqICM1xjJRYiWUfkGCoE8G0HR.pdf

Extremal monomial property of q -characters and polynomiality of the X -series

Autoren: Frenkel, Edward Hernandez, David Department of Mathematics Berkeley et al.

Weitere Verfasser: Frenkel, Edward Hernandez, David Department of Mathematics Berkeley et al.

Quelle: ISSN: 0925-9899.

Schlagwörter: [MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT], [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA], [NLIN.NLIN-SI]Nonlinear Sciences [physics]/Exactly Solvable and Integrable Systems [nlin.SI], [PHYS.COND.CM-SM]Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/2504.00260; ARXIV: 2504.00260

Verfügbarkeit: https://hal.science/hal-05328857
https://hal.science/hal-05328857v1/document
https://hal.science/hal-05328857v1/file/newsym-journal-6.pdf
https://doi.org/10.1007/s10801-025-01459-7

Entanglement-assisted classical capacities of some channels acting as radial multipliers on fermion algebras

Autoren: Arhancet, Cédric Laboratoire de Mathématiques de Besançon (UMR 6623) (LMB) Centre National de la Recherche Scientifique (CNRS)-Université de Franche-Comté (UFC) et al.

Weitere Verfasser: Arhancet, Cédric Laboratoire de Mathématiques de Besançon (UMR 6623) (LMB) Centre National de la Recherche Scientifique (CNRS)-Université de Franche-Comté (UFC) et al.

Quelle: ISSN: 0022-1236.

Schlagwörter: 2020 Mathematics subject classification: 46L51 94A40 46L07 81P45 noncommutative L p -spaces multipliers fermion algebras entropies quantum channels discrete hypercube quantum information theory, 2020 Mathematics subject classification: 46L51, 94A40, 46L07, 81P45 noncommutative L p -spaces, multipliers, fermion algebras, entropies, quantum channels, discrete hypercube, quantum information theory, [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA], [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR], [MATH.MATH-KT]Mathematics [math]/K-Theory and Homology [math.KT], [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph], [MATH.MATH-OA]Mathematics [math]/Operator Algebras [math.OA], [MATH.MATH-PR]Mathematics [math]/Probability [math.PR], [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA], [MATH.MATH-SP]Mathematics [math]/Spectral Theory [math.SP], [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph]

Verfügbarkeit: https://hal.science/hal-05089842
https://hal.science/hal-05089842v1/document
https://hal.science/hal-05089842v1/file/2402.15440v6.pdf
https://doi.org/10.1016/j.jfa.2024.110790

Involutive Yang–Baxter: cabling, decomposability, and Dehornoy class

Autoren: Lebed, Victoria Ramírez, Santiago Vendramin, Leandro et al.

Weitere Verfasser: Lebed, Victoria Ramírez, Santiago Vendramin, Leandro et al.

Quelle: Revista Matemática Iberoamericana. 40:623-635

Schlagwörter: diagonal map, dehornoy class, [MATH.MATH-RA]Mathematics [math]/Rings and Algebras [math.RA], Yang-Baxter equation, Mathematics - Rings and Algebras, Group Theory (math.GR), 01 natural sciences, braces, 16T25, 17D99, 08A05, primitive solutions, Rings and Algebras (math.RA), Mathematics - Quantum Algebra, [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA], FOS: Mathematics, Quantum Algebra (math.QA), 0101 mathematics, Dehornoy class, indecomposable solutions, Mathematics - Group Theory

Dateibeschreibung: application/pdf

Zugangs-URL: http://arxiv.org/abs/2209.02041
http://hdl.handle.net/11336/263662
https://biblio.vub.ac.be/vubir/involutive-yangbaxter-cabling-decomposability-dehornoy-class(201f28de-51df-48cb-bf3a-8af8409a448b).html

Configuration spaces of manifolds with boundary

Autoren: Campos, Ricardo Idrissi, Najib Lambrechts, Pascal et al.

Weitere Verfasser: Campos, Ricardo Idrissi, Najib Lambrechts, Pascal et al.

Quelle: Astérisque.

Schlagwörter: Fulton--MacPherson compactifications, MSC2020: 55R80 Discriminantal varieties and configuration spaces in algebraic topology, [MATH.MATH-AT] Mathematics [math]/Algebraic Topology [math.AT], 01 natural sciences, cooperads, compactifications de Fulton--MacPherson, dualité de Poincaré--Lefschetz, 18M70 Algebraic operads, Mathematics - Quantum Algebra, FOS: Mathematics, Algebraic Topology (math.AT), Quantum Algebra (math.QA), Poincaré--Lefschetz duality, complexes de graphes, Mathematics - Algebraic Topology, 0101 mathematics, 55P48 Loop space machines and operads in algebraic topology, [MATH.MATH-QA] Mathematics [math]/Quantum Algebra [math.QA], Théorie de l'homotopie réelle, 18M75 Topological and simplicial operads, Real homotopy theory, operads, graph complexes, [MATH.MATH-AT]Mathematics [math]/Algebraic Topology [math.AT], and Koszul duality, [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA], 55P62 Rational homotopy theory, 55R80, 18M75, 18M70, 55P62, 55P48, opérades

Zugangs-URL: http://arxiv.org/abs/1802.00716
https://hal.science/hal-01721634v1
https://doi.org/10.24033/ast.1222

A Stochastic Quantum Neural Network Model for Ai

Autoren: Filardo, Gautier-Edouard Heckmann, Thibaut Efrei Research Lab et al.

Weitere Verfasser: Filardo, Gautier-Edouard Heckmann, Thibaut Efrei Research Lab et al.

Quelle: https://hal.science/hal-05334786 ; 2025.

Schlagwörter: [INFO.INFO-CR]Computer Science [cs]/Cryptography and Security [cs.CR], [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA], [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph]

Verfügbarkeit: https://hal.science/hal-05334786
https://hal.science/hal-05334786v1/document
https://hal.science/hal-05334786v1/file/ssrn-5297282%20%281%29.pdf
https://doi.org/10.2139/ssrn.5297282

Ext-group in the category of quantum polynomial functors via the quantum Frobenius twist

Autoren: Théo, Deturck Université de Lille

Weitere Verfasser: Théo, Deturck Université de Lille

Quelle: https://hal.science/hal-05098369 ; 2025.

Schlagwörter: Q-Schur algebra, Quantum Algebra, Extension group, Functor category, Frobenius twist, [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA], [MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/2506.05827; ARXIV: 2506.05827

Verfügbarkeit: https://hal.science/hal-05098369
https://hal.science/hal-05098369v2/document
https://hal.science/hal-05098369v2/file/main.pdf