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Luc Vinet

Members

Name

Luc Vinet

Affiliation

Université de Montréal

Email

vinet@crm.umontreal.ca

Phone (1)

514 343 7502

Areas of research (1)

mathematical physics

Area of research (2)

integrable models

Area of research (3)

quantum information

Area of research (4)

representation theory

Area of research (5)

orthogonal polynomials and special functions

Postdoctoral Fellows with dates (current and since last year) (1)

Xiaohong Zhang, 2022-

Postdoctoral Fellows with dates (current and since last year) (2)

Gilles Parez, 2021-

Postdoctoral Fellows with dates (current and since last year) (3)

Clément Berthière, 2021-2022

Postdoctoral Fellows with dates (current and since last year) (4)

Simeon Artamanov, 2021-2022

Students with dates (current and since last year) and affiliation (1)

Simone Têtu, B.Sc. U. McGill, 2023

Students with dates (current and since last year) and affiliation (2)

Abderahmane Bouziane, B.Sc., Université de Montréal, Été 2023

Students with dates (current and since last year) and affiliation (3)

Vutha Vichhea Chea, B.Sc. Université de Montréal, Été 2023 et été 2022

Students with dates (current and since last year) and affiliation (4)

Gabrielle Blanchet, M. Sc., Université de Montréal, 2023-

Students with dates (current and since last year) and affiliation (5)

Ismaël Bussières, M. Sc., Université de Montréal, 2023-

Students with dates (current and since last year) and affiliation (6)

Pierre- Antoine Bernard, Ph.D., Université de Montréal, 2021-

Students with dates (current and since last year) and affiliation (7)

Meri Zaimi, Ph.D., Université de Montréal, 2020-

Student with dates (current and since last year), and affiliation (8)

Gauvain Carcone, M. Sc., Université de Montréal, 2021-2023

Student with dates (current and since last year), and affiliation (9)

Jonathan Pelletier, M.Sc., Université de Montréal, 2021-2022

Student with dates (current and since last year), and affiliation (10)

Dounia Shaaban Kabakibo, M.Sc., Université de Montréal, 2020-2021

Visiting Researchers with exact dates (current and since last year) and affiliation (1)

Éric Ragoucy, December 2023 – January 2024

Visiting Researchers with exact dates (current and since last year) and affiliation (2)

Nicolas Crampé, U. de Tours, September-October 2023

Visiting Researchers with exact dates (current and since last year) and affiliation (3)

Satoshi Tsujimoto, March 15-27 2023

Visiting Researchers with exact dates (current and since last year) and affiliation (4)

Alexei Zhedanov, Renmin University, January 2020-August 2023

Visiting Researchers with exact dates (current and since last year) and affiliation (5)

Nikita Nekrasov, February 23-24 2023

Selected Recent Publications (past 2 years only) (1)

N. Crampe, L.Vinet, M. Zaimi, X. Zhang, A bivariate Q-polynomial structure for the non-binary Johnson scheme, Journal of Combinatorial Theory, Series A, 202, 105829 (2024), doi.org/10.1016/j.jcta.2023.105829, arXiv:2306.01882.

Selected Recent Publications (past 2 years only) (2)

J. Pelletier, L. Vinet, A. Zhedanov, Para-Bannai-Ito polynomials, Sigma 19, 090 (2023), doi.org/10.3842/SIGMA.2023.090, arXiv: 2209.10725rm

Selected Recent Publications (past 2 years only) (3)

P. A. Bernard, Z. Mann, G. Parez, L. Vinet, Absence of logarithmic enhancement in the entanglement scaling of free fermions on folded cubes, Journal of Physics A: Mathematical and Theoretical 57, 015002 (2023), DOI 10.1088/1751- 8121/ad0f4a, arXiv:2307.03345

Selected Recent Publications (past 2 years only) (4)

N. Crampe, J. Gaboriaud, L. P. d’Andecy, L. Vinet (2023). Matrix elements of SO(3) in sl3 representations as bispectral multivariate functions, Journal of Mathematical Physics, 64, 111702 (2023), doi.org/10.1063/5.0173787, arXiv:2308.12809. Publications retenue comme "Editor’s Pick"

Selected Recent Publications (past 2 years only) (5)

P.-A. Bernard, G. Carcone, N. Crampe, L. Vinet, Computation of entanglement entropy in inhomogeneous free fermions chains by algebraic Bethe ansatz, SciPost Physics Proceedings – 34th International Colloquium on Group Theoretical Methods in Physics 14, 018 (2023), , doi: 10.21468/SciPostPhysProc.14.018, arXiv:2212.09805

Selected Recent Publications (past 2 years only) (6)

N. Crampé, H. De Bie, P. Iliev, L. Vinet, Superspace realizations of the Bannai–Ito algebra, Letters in Mathematical Physics, 113:108 (2023), DOI: 10.1007/s11005-023-01731-6, arXiv:2306.02714

Selected Recent Publications (past 2 years only) (7)

P.-A. Bernard, N. Crampé, L. Vinet, Entanglement of Free Fermions on Johnson Graphs, Journal of Mathematical Physics, 64, 061903 (2023), https://doi.org/10.1063/5.0099879, arXiv:2104.11581

Selected Recent Publications (past 2 years only) (8)

G. Parez, P.-A. Bernard, N. Crampe, L. Vinet, Multipartite information of free fermions on Hamming graphs, Nuclear Physics B, Volume 990 (2023) 116157, arXiv:2212.09158

Selected Recent Publications (past 2 years only) (9)

V. Vichhea Chea, L. Vinet, M. Zaimi and A. Zhedanov, An algebraic treatment of the Pastro polynomials on the real line, Proc. Amer. Math. Soc. 151 (2023), 4405-4418, DOI: https://doi.org/10.1090/proc/16458, arXiv:2210.15260

Selected Recent Publications (past 2 years only) (10)

P.-A. Bernard, N. Crampé, L. Vinet, An explanation of the commuting operator "miracle" in time and band limiting, Journal of Fourier Analyses and Applications, 29, 22 (2023), arXiv:2201.03646

Selected Recent Publications (past 2 years only) (11)

N. Crampé, L. Poulin d’Andecy, L. Vinet, M. Zaimi, Askey-Wilson braid algebra and centralizer of U q(sl2), Annales Henri Poincaré, 24, 1897-1922 (2023), arXiv: 2206.11150

Selected Recent Publications (past 2 years only) (12)

H. Miki, S. Tsujimoto, L. Vinet, The single-indexed exceptional Krawtchouk polynomial, Journal of Difference Equations and Applications (2023) 29:3, 344-365, DOI: 10.1080/10236198.2023.2202283, arXiv: 2201.12359

Selected Recent Publications (past 2 years only) (13)

P.-A. Bernard, N. Crampé, L. Vinet, Entanglement of Free Fermions on Hamming Graphs, Nuclear Physics, Section B 986 (2023)116061, arXiv:2103.15742

Selected Recent Publications (past 2 years only) (14)

P.-A. Bernard, G. Carcone, N. Crampe, L. Vinet, Bethe ansatz diagonalization of the Heun-Racah operator, Letters in Mathematical Physics 113, 8 (2023), arXiv: 2209.09213

Selected Recent Publications (past 2 years only) (15)

N. Crampé, L. Poulain d’Andecy, L. Vinet, The missing label of su3 and its symmetry, Communications in Mathematical Physics, 400, 179-213 (2023), arXiv:2110.03521

Selected Recent Publications (past 2 years only) (16)

H. Miki, S. Tsujimoto, L. Vinet, Classical and quantum walks on paths associated with exceptional Krawtchouk polyno- mials, Journal of Mathematical Physics, 63, 103502 (2022), arXiv:2201.02337

Selected Recent Publications (past 2 years only) (17)

P-A. Bernard, N. Crampé, R. I. Nepomechie, G. Parez, L. Poulain d’Andecy, L. Vinet, Entanglement of inhomogeneous free fermions on hyperplane lattices, Nuclear Physics, Section B, 984, (2022), arXiv: 2206.06509

Selected Recent Publications (past 2 years only) (18)

P.-A. Bernard, N. Crampé, L. Vinet, Time and band limiting operator and Bethe ansatz, J. Phys. A: Math. Theor., 55 (2022) 285201, arXiv: 2201.04589

Selected Recent Publications (past 2 years only) (19)

L. Vinet, A. Zhedanov, Free boson realization of the Dunkl intertwining operator in one dimension, Reviews in Mathe- matical Physics, Vol. 34, No. 08, 2250025 (2022), arXiv:2202.03139

Selected Recent Publications (past 2 years only) (20)

H. Miki, S. Tsujimoto, L. Vinet, Perfect state transfer in two dimensions and the bivariate dual-Hahn polynomials, Prog. Theor. Exp. Phys., Volume 2022, Issue 5, (2022), 053A01, arXiv: 2009.06195

Recent Invited Talks and Lectures (past year only) (1)

Entanglement of free-fermion systems, signal processing and algebraic combinatorics, Algebraic Combinatorics Seminar, U. Wisconsin-Madison Mathematics, En ligne, 29 Janvier 2024

Recent Invited Talks and Lectures (past year only) (2)

m-distance regular graphs and multivariate P-polynomial association schemes, Session scientifique Algebraic Graph Theory for Walking on Graphs dans le cadre de la réunion d’hiver 2023 de la Société mathématique du Canada Winter Meeting, Montréal, 3 décembre 2023

Recent Invited Talks and Lectures (past year only) (3)

Entanglement of free fermiom systems, signal processing and algebraic combinatorics, Session scientifique Recent Progress in Statistical Mechanics dans le cadre de la réunion d’hiver 2023 de la Société mathématique du Canada Winter Meeting, Montréal, 2 décembre 2023

Recent Invited Talks and Lectures (past year only) (4)

Entanglement of fermionic systems, signal processing and association schemes, Séminaire CQUeST, Séoul, Corée du Sud, Septembre 2023

Recent Invited Talks and Lectures (past year only) (5)

Entropy entanglement of free fermion systems, signal processing and algebraic combinatorics, Gravity Strings and Fields: a conference in honour of Gordon Semenoff, CRM, Montréal, Août 2023

Recent Invited Talks and Lectures (past year only) (6)

Bivariate P-polynomial association schemes, 10th International Congress on Industrial and Applied Mathematics (ICIAM 2023), Tokyo, Japon, Août 2023

Recent Invited Talks and Lectures (past year only) (7)

Bivariate P-Polynomial Association Schemes, Minisymposium Association Schemes and Related Algebras de 10th Slove- nian Conference on Graph Theory, Kranjska Gora, Slovenie, Juin 2023

Recent Invited Talks and Lectures (past year only) (8)

Bivariate P -polynomial association schemes or Entanglement of free Fermions on graphs, Australian and New Zealand Association of Mathematical Physics (ANZAMP) Annual Meeting 2023, Hobart, Tasmanie, Australie, Février 2023

Recent Invited Talks and Lectures (past year only) (9)

Bivariate P-polynomial association schemes, Conférencier, Session Algebraic and Spectral Graph Theory, 2022 CMS Win- ter Meeting, Toronto, Canada, Décembre 2022

Recent Invited Talks and Lectures (past year only) (10)

Hommage à John Harnad Le rôle des systèmes intégrables – Atelier dédié à John Harnad, CRM, Décembre 2022

Recent Awards, Distinctions, Prizes (past 2 years) (1)

Urgel Archambault Prize, ACFAS, 2022

Recent Awards, Distinctions, Prizes (past 2 years)(2)

Member, Order of Canada, The Governor General of Canada, 2021

Recent Awards, Distinctions, Prizes (past 2 years)(3)

Fellow, Canadian Mathematical Society, 2019

Recent Visiting Positions, Sabbatical Leaves (past 2 years only)

Perimeter Institute Affiliate (2021 -)
Université de Tours CNRS Invited Researcher (2021)
Université Savoie-Mont-Blanc Visiting Professor (2021)

 

Recent conferences organized or co-organized (past 2 years only) (1)

S.Tsujimoto, H. Miki, L. Vinet, Recent topics on generalized orthogonal polynomials and their applications,10th Interna- tional Congress on Industrial and Applied Mathematics – ICIAM 2023, Tokyo, Japon, Août 2023

Recent conferences organized or co-organized (past 2 years only) (2)

L. Vinet, Symmetries, Thematic Semester, Centre de Recherches Mathématiques, Montréal, May – December 2022.

Recent conferences organized or co-organized (past 2 years only) (3)

H. De Bie, J.F. van Diejen, E. Koelink, A. Loureiro, F. Marcellan, S. Post, M. Rosler, L. Vinet, International Conference on Orthogonal Polynomials, Special Functions and Applications – OPSFA 16, Montréal, June 2022

Recent conferences organized or co-organized (past 2 years only) (4)

M. Ismail, L. Vinet, Minisymposium on New Developments in the Theory and Applications of Orthogonal Polynomials and Special Functions, 2020 SIAM Annual Meeting, Toronto, July 2020;

Recent conferences organized or co-organized (past 2 years only) (5)

A. Chan, G. Coutinho, K. Guo, C. Tamon, L. Vinet, H. Zhan, Algebraic Graph Theory and Quantum Information, Fields Institute, Toronto, May 2020