ALCOHOL

Publications

Publications produced in relation with the ALCOHOL project (2019-onwards), are all available online on HAL, see https://anr.hal.science/search/index/?q=*&anrProjectReference_s=ANR-19-CE40-0006

Two older publications of relevance are:

Fundamental combinatorics of walks on graphs

• P.-L. Giscard, P. Rochet, "Algebraic combinatorics on trace monoids: extending number theory to walks on graphs", SIAM Journal on Discrete Mathematics, volume 31, 1428-1453, (2017)

Applications of the combinatorial properties of walks, in direct relation with the fundamental research 

• P.-L. Giscard, K. Lui, S. Thwaite, D. Jaksch, "An exact formulation of the time-ordered exponential using path-sums", Journal of Mathematical Physics 56, 053503 (2015)

Seminars & projects

• Prague Workshop on Numerical Mathematics, July 2023

• Seminars by M. Ryckebusch, Between graph theory and differential equations: the *-product, in Amiens (March 2023) and Calais (May 2023)

• Seminar by T. Karaboghossian, Why walks lead us astray in the study of graphs, Calais, 16th December 2021

• Presentation, A Lanczos-like algorithm for time-ordered exponentials, 8th European Congress of Mathematics, Portorož, Slovenia, 21st June 2021.

• T. Birkandan, P.-L. Giscard, A. Tamar, A Python implementation of the general Heun function using elementary integral series, Contributed presentation Days on Diffraction 2021, May 31 - June 4, 2021 St. Petersburg.

• Alcohol Workshop on walk combinatorics (WACA days), 25-28 May 2021

• Contributed presentation by C. Bonhomme on joint research, Hydroxyapatite revisited by DNP and spin diffusion: Natural abundance 43Ca DNP MAS and ultra-high magnetic field (35T) 43Ca experiments, modeling and new mathematical treatment of DNP process, American Chemical Society Spring 2021 meeting, April 5-16 2021

• Contributed presentation by C. Bonhomme on joint research, Ultra-fast convergent analytical solutions of the Bloch equations: the Path-Sum approach, Experimental Nuclear Magnetic Resonance Conference ENC 2021, March 29-31 2021 

• Seminar, Dénombrement des polygones auto-évitants: la route déterministe, Institut de Recherche Mathématique Avancée, Strasbourg, France, 18th February 2021

• Seminar, Unexpected applications of walk combinatorics, Laboratoire Paul Painlevé, Université de Lille, 31st January 2020

• P.-L. Giscard and C. Bonhomme. "Undamped and Damped Bloch Equations: Exact Solutions by Path-Sum". In 61st Experimental Nuclear Magnetic Resonance Conference, Baltimore, Maryland , (2020)

• P-.L. Giscard, "La combinatoire des chemins: de la théorie des nombres à la mécanique quantique", Journée de la Fédération de Recherche Mathématiques du Nord-Pas-de-Calais, 15 Octobre 2019.

• P.-L. Giscard and C. Bonhomme. A new approach of time-ordered exponential in NMR: the path-sum. In 60th Experimental Nuclear Magnetic Resonance Conference, (2019)

• C. Bonhomme, P.-L. Giscard, "Theory of Solid state NMR: from Dyson, Magnus, Feynman to Path-Sum", Alpine Conference on Magnetic Resonance in Solids (2019)

Spin-off projects

Project ANR MAGICA (2021-2025) with C. Bonhomme and S. Pozza

Project PRIMUS by S. Pozza

MathAmSud project ALGonCOMB (Algebraic structures supported on families of combinatorial objects), 2022-2025