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ON THE SOLUTIONS OF LINEAR VOLTERRA EQUATIONS OF THE SECOND KIND WITH SUM KERNELS

 P.-L Giscard
Journal of Integral Equations and Applications, 2020, 32 (4), pp.429-445. ⟨10.1216/jie.2020.32.429⟩
Article dans une revue hal-03597299v1
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Elementary Integral Series for Heun Functions. With an Application to Black-Hole Perturbation Theory

 P.-L Giscard , A. Tamar
2022
Pré-publication, Document de travail hal-03597191v1
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Exact solutions for the time-evolution of quantum spin systems under arbitrary waveforms using algebraic graph theory

 P.-L Giscard , Mohammadali Foroozandeh
2022
Pré-publication, Document de travail hal-03664442v1
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Realizable cycle structures in digraphs

 Jean Fromentin , P.-L Giscard , T Karaboghossian
2023
Pré-publication, Document de travail hal-03408041v2

On Valid Optimal Assignment Kernels and Applications to Graph Classification

 Nils M. Kriege , P.-L Giscard , Richard C. Wilson
Advances in Neural Information Processing Systems 29 (NIPS 2016), Dec 2016, Barcelona, Spain
Communication dans un congrès hal-03597488v1
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Tridiagonalization of systems of coupled linear differential equations with variable coefficients by a Lanczos-like method

 P.-L Giscard , Stefano Pozza
Linear Algebra and its Applications, 2021, ⟨10.1016/j.laa.2021.04.011⟩
Article dans une revue hal-03597230v1
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Long distance beam propagation in colloidal suspensions: comparison between theory and experiment

 E Wright , W Lee , P.-L Giscard , K Dholakia
Proceedings of SPIE, the International Society for Optical Engineering, 2008, ⟨10.1117/12.796243⟩
Article dans une revue hal-03660648v1
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Optomechanical control of atoms and molecules

 M. Bhattacharya , S. Singh , P.-L Giscard , P. Meystre
Laser Physics, 2009, 20 (1), pp.57-67. ⟨10.1134/S1054660X09170034⟩
Article dans une revue hal-03660652v1
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The All-Paths and Cycles Graph Kernel

 P.-L Giscard , Richard Wilson
2017
Pré-publication, Document de travail hal-03597420v1

Evaluating balance on social networks from their simple cycles

 P.-L Giscard , Paul Rochet , Richard Wilson
Journal of Complex Networks, 2017, 341 (5), pp.1439-1448. ⟨10.1093/comnet/cnx005⟩
Article dans une revue hal-03597455v1
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Cycle-centrality in economic and biological networks

 P.-L Giscard , Richard Wilson
Complex Networks & Their Applications VI, 689, Springer International Publishing, pp.14-28, 2018, Studies in Computational Intelligence, ⟨10.1007/978-3-319-72150-7_2⟩
Chapitre d'ouvrage hal-03597427v1
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Algebraic Walk Theory

 P.-L Giscard
Combinatorics [math.CO]. Université du Littoral - Côte d'Opale, 2023
HDR tel-04323927v2
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Entangling the rovibrational modes of a macroscopic mirror using radiation pressure

 M. Bhattacharya , P.-L Giscard , P. Meystre
Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2008, 77 (3), pp.030303. ⟨10.1103/PhysRevA.77.030303⟩
Article dans une revue hal-03660628v1

A New Approach of Ordered Exponential in NMR: the Path-Sum

 Christian Bonhomme , P.-L Giscard
60th Experimental Nuclear Magnetic Resonance Conference, Apr 2019, Pacific Grove, CA, United States
Communication dans un congrès hal-02097616v1
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An Hopf algebra for counting simple cycles

 Pierre-Louis C Giscard , Paul Rochet , Richard C Wilson
2017
Pré-publication, Document de travail hal-01341208v2
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Enumerating simple paths from connected induced subgraphs

 Pierre-Louis Giscard , Paul Rochet
2016
Pré-publication, Document de travail hal-01324737v1
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Algebraic combinatorics on trace monoids: extending number theory to walks on graphs

 P.-L Giscard , P Rochet
2016
Pré-publication, Document de travail hal-01249007v3
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Lanczos-like algorithm for the time-ordered exponential: The $\ast$-inverse problem

 P.-L Giscard , Stefano Pozza
Applications of Mathematics, 2020, 65 (6), pp.807-827. ⟨10.21136/AM.2020.0342-19⟩
Article dans une revue hal-03597271v1
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A Lanczos-like method for non autonomous linear ordinary differential equations

 P.-L Giscard , Stefano Pozza
2022
Pré-publication, Document de travail hal-03597313v1
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Dynamics of quantum systems driven by time-varying Hamiltonians: solution for the Bloch-Siegert Hamiltonian and applications to NMR

 P.-L Giscard , Christian Bonhomme
Physical Review Research, 2020, 2 (2), pp.023081. ⟨10.1103/PhysRevResearch.2.023081⟩
Article dans une revue hal-03606293v1
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An Exact Formulation of the Time-Ordered Exponential using Path-Sums

 P.-L Giscard , K. Lui , S. J. Thwaite , D. Jaksch
2022
Pré-publication, Document de travail hal-03606308v1
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Entanglement of a Laguerre-Gaussian cavity mode with a rotating mirror

 M. Bhattacharya , P.-L Giscard , P. Meystre
Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2008, 77 (1), pp.013827. ⟨10.1103/PhysRevA.77.013827⟩
Article dans une revue hal-03660623v1
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A Centrality Measure for Cycles and Subgraphs II

 P.-L Giscard , Richard Wilson
Applied Network Science, 2018, 3 (1), pp.9. ⟨10.1007/s41109-018-0064-5⟩
Article dans une revue hal-03597388v1
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Counting walks by their last erased self-avoiding polygons using sieves

 P.-L Giscard
Discrete Mathematics, 2021, 344 (4), pp.112305. ⟨10.1016/j.disc.2021.112305⟩
Article dans une revue hal-03597248v1
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A General Purpose Algorithm for Counting Simple Cycles and Simple Paths of Any Length

 P.-L Giscard , Nils Kriege , Richard Wilson
Algorithmica, 2019, 81 (7), pp.2716-2737. ⟨10.1007/s00453-019-00552-1⟩
Article dans une revue hal-03597440v1

Computations of general Heun functions from their integral series representations

 T. Birkandan , P.-L Giscard , A. Tamar
Days on Diffraction (DD) 2021, May 2021, St.Petersburg, Russia. pp.12-18, ⟨10.1109/DD52349.2021.9598600⟩
Communication dans un congrès hal-03597176v1
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Computing Optimal Assignments in Linear Time for Approximate Graph Matching

 Pierre-Louis Giscard , Nils Kriege , Franka Bause , Richard Wilson
2019 IEEE International Conference on Data Mining (ICDM), Nov 2019, Beijing, China. pp.349-358, ⟨10.1109/ICDM.2019.00045⟩
Communication dans un congrès hal-02125160v2
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A co-preLie structure from chronological loop erasure in graph walks

 P.-L Giscard , Loïc Foissy , Cécile Mammez
2023
Pré-publication, Document de travail hal-04147136v1
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EVALUATING MATRIX FUNCTIONS BY RESUMMATIONS ON GRAPHS: THE METHOD OF PATH-SUMS

 P.-L Giscard , S. Thwaite , D. Jaksch
SIAM Journal on Matrix Analysis and Applications, 2013, 34 (2), pp.445-469. ⟨10.1137/120862880⟩
Article dans une revue hal-03597518v1

Exact Inference on Gaussian Graphical Models of Arbitrary Topology using Path-Sums

 P.-L Giscard , Z. Choo , S. J. Thwaite , D. Jaksch
Journal of Machine Learning Research, 2016, ⟨10.1137/15M1054535⟩
Article dans une revue hal-03597507v1
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