Pierre-Louis GISCARD

• Maître de conférences HDR au LMPA
• Équipe : Algèbre, Dynamique et Arithmétique (ADA)
• Email : Pierre-Louis.Giscard@univ-littoral.fr
• Page internet : http://www-lmpa.univ-littoral.fr/~plgiscard/


• Laboratoire de Mathématiques Pure et Appliquées
  • Adresse :
    LMPA
    Centre Universitaire de la Mi-Voix
    50 rue Ferdinand Buisson
    CS 80699
    62228 CALAIS Cedex France
  • Bureau : B121
  • Téléphone : +33 3 21 46 55 84

28 publications

1. A Fréchet Lie group on distributions (M. Ryckebusch, A.Bouhamidi and P.-L. Giscard), In Journal of Mathematical Analysis and Applications, volume 546, 2025. [url] [doi]
2. A co-preLie structure from chronological loop erasure in graph walks (Foissy L., Giscard P.-L. and Mammez C.), In European Journal of Combinatorics, volume 120, 2024. [url] [doi][hal-lmpa]
3. A Lanczos-like method for non-autonomous linear ordinary differential equations (Giscard P.-L. and Pozza S.), In Boll. Unione Mat. Ital., volume 16, 2023. [url] [doi][hal-lmpa]
4. Realizable cycle structures in digraphs (Fromentin J., Giscard P.-L. and Karaboghossian T.), In European Journal of Combinatorics, volume 113, 2023. [url] [doi][hal-lmpa]
5. Elementary integral series for Heun functions: application to black-hole perturbation theory (Giscard P.-L. and Tamar A.), In J. Math. Phys., volume 63, 2022. [url] [doi][hal-lmpa]
6. Exact solutions for the time-evolution of quantum spin systems under arbitrary waveforms using algebraic graph theory (Giscard P.-L. and Foroozandeh M.), In Computer Physics Communications, 2022. [url] [doi][hal-lmpa]
7. Tridiagonalization of systems of coupled linear differential equations with variable coefficients by a Lanczos-like method (Giscard P.-L. and Pozza S.), In Linear Algebra and its Applications, volume 624, 2021. [url] [doi][hal-lmpa]
8. Counting walks by their last erased self-avoiding polygons using sieves (Giscard P.-L.), In Discrete Math., volume 344, 2021. [url] [doi][hal-lmpa]
9. Computations of general Heun functions from their integral series representations (Birkanda T., Giscard P.-L. and Tamar A.), In 2021 Days on Diffraction (DD), volume , 2021. [url] [doi][hal-lmpa]
10. Dynamics of quantum systems driven by time-varying Hamiltonians: Solution for the Bloch-Siegert Hamiltonian and applications to NMR (Giscard P.-L. and Bonhomme C.), In Phys. Rev. Research, American Physical Society, volume 2, 2020. [url] [doi][hal-lmpa]
11. On the solutions of linear Volterra equations of the second kind with sum kernels (Giscard P.-L.), In J. Integral Equations Appl., volume 32, 2020. [url] [doi][hal-lmpa]
12. Lanczos-like algorithm for the time-ordered exponential: the $*$-inverse problem (Giscard P.-L. and Pozza S.), In Appl. Math., volume 65, 2020. [url] [doi][hal-lmpa]
13. Computing Optimal Assignments in Linear Time for Approximate Graph Matching (Kriege N. M., Giscard P.-L., Bause F. and Wilson R. C.), In 2019 IEEE International Conference on Data Mining (ICDM), volume , 2019. [url] [doi][hal-lmpa]
14. A general purpose algorithm for counting simple cycles and simple paths of any length (Giscard P.-L., Kriege N. and Wilson R. C.), In Algorithmica, volume 81, 2019. [url] [doi][hal-lmpa]
15. Cycle-Centrality in Economic and Biological Networks (Giscard P.-L. and Wilson R. C.), In Complex Networks & Their Applications VI (Cherifi, Chantal, Cherifi, Hocine, Karsai, Márton, Musolesi, Mirco, eds.), Springer International Publishing, 2018. [url] [doi][hal]
16. A centrality measure for cycles and subgraphs II (Giscard P.-L. and Wilson R. C.), In Applied Network Science, volume 3, 2018. [url] [doi][hal]
17. Enumerating simple paths from connected induced subgraphs (Giscard P.-L. and Rochet P.), In Graphs Combin., volume 34, 2018. [url] [doi][hal]
18. A Hopf algebra for counting cycles (Giscard P.-L., Rochet P. and Wilson R. C.), In Discrete Math., volume 341, 2018. [url] [doi][hal]
19. Evaluating balance on social networks from their simple cycles (Giscard P.-L., Rochet P. and Wilson R. C.), In J. Complex Netw., volume 5, 2017. [url] [doi][hal]
20. Algebraic combinatorics on trace monoids: extending number theory to walks on graphs (Giscard P.-L. and Rochet P.), In SIAM J. Discrete Math., volume 31, 2017. [url] [doi][hal]
21. On Valid Optimal Assignment Kernels and Applications to Graph Classification (Kriege N. M., Giscard P.-L. and Wilson R. C.), In Proceedings of the 30th International Conference on Neural Information Processing Systems, Curran Associates Inc., 2016. [doi][hal]
22. Exact inference on Gaussian graphical models of arbitrary topology using path-sums (Giscard P.-L., Choo Z., Thwaite S. J. and Jaksch D.), In J. Mach. Learn. Res., volume 17, 2016. [html][hal]
23. An exact formulation of the time-ordered exponential using path-sums (Giscard P.-L., Lui K., Thwaite S. J. and Jaksch D.), In J. Math. Phys., volume 56, 2015. [url] [doi][hal]
24. Evaluating matrix functions by resummations on graphs: the method of path-sums (Giscard P.-L., Thwaite S. J. and Jaksch D.), In SIAM J. Matrix Anal. Appl., volume 34, 2013. [url] [doi][hal]
25. Optomechanical control of atoms and molecules (Bhattacharya M., Singh S., Giscard P. -L. and Meystre P.), In Laser Physics, volume 20, 2010. [doi]
26. Entangling the rovibrational modes of a macroscopic mirror using radiation pressure (Bhattacharya, M., Giscard, P.-L. and Meystre, P.), In Phys. Rev. A, American Physical Society, volume 77, 2008. [url] [doi]
27. Entanglement of a Laguerre-Gaussian cavity mode with a rotating mirror (Bhattacharya, M., Giscard, P.-L. and Meystre, P.), In Phys. Rev. A, American Physical Society, volume 77, 2008. [url] [doi]
28. Long distance beam propagation in colloidal suspensions: comparison between theory and experiment (E. M. Wright, W. M. Lee, P.-L. Giscard and K. Dholakia), In Optical Trapping and Optical Micromanipulation V (Kishan Dholakia, Gabriel C. Spalding, eds.), SPIE, volume 7038, 2008. [url] [doi]