François Bergeron

ORCID: 0000-0003-4566-6351
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About
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Research Areas
  • Advanced Combinatorial Mathematics
  • Algebraic structures and combinatorial models
  • Advanced Mathematical Identities
  • Advanced Algebra and Geometry
  • Advanced Topics in Algebra
  • semigroups and automata theory
  • Information Technology Governance and Strategy
  • Technology Adoption and User Behaviour
  • Random Matrices and Applications
  • Mathematics and Applications
  • Mathematical Dynamics and Fractals
  • Polynomial and algebraic computation
  • Advanced Mathematical Theories and Applications
  • Mathematical functions and polynomials
  • Advanced Algebra and Logic
  • Big Data and Business Intelligence
  • graph theory and CDMA systems
  • ERP Systems Implementation and Impact
  • Nonlinear Waves and Solitons
  • Knowledge Management and Sharing
  • Matrix Theory and Algorithms
  • Electrospun Nanofibers in Biomedical Applications
  • Tissue Engineering and Regenerative Medicine
  • Finite Group Theory Research
  • Advanced Differential Equations and Dynamical Systems

Laboratoire de Mathématiques d'Orsay
2006-2024

Université du Québec à Montréal
2010-2022

Université Laval
1986-2019

Université du Québec
1989-2019

Texas A&M University
2010

Natural Sciences and Engineering Research Council
2010

Hôpital du Saint-Sacrement
2003-2006

institut Camille-Jordan
2006

Université Claude Bernard Lyon 1
2006

Laboratoire d'Informatique Algorithmique: Fondements et Applications
1995-2004

Purpose The present study aims at a deeper understanding of the performance outcomes alignment between e‐business capabilities manufacturing small‐ and medium‐sized enterprises (SMEs) their business strategy in terms Miles Snow's recognised strategic typology that includes prospectors, analyzers, defenders. Design/methodology/approach From contingency theory perspective, survey 107 Canadian manufacturers was used to collect data were analyzed through correlation analysis. Findings Results...

10.1108/02635570810876723 article EN Industrial Management & Data Systems 2008-05-23

During the past decade, end-user computing has been subject to several research efforts. One result is common nearly all of studies on that topic: importance providing support users. Descriptive have identified this as a major issue; critical success factor reported it key element, and models factors found significantly related user satisfaction with computing. This article reports results study further investigates support, in particular context information center. The examines...

10.2307/248887 article EN MIS Quarterly 1990-09-01

We consider the graded S n -modules of higher diagonally harmonic polynomials in three sets variables (the trivariate case), and show that they have interesting ties with generalizations Tamari poset parking functions.In particular we get several nice formulas for associated Hilbert series Frobenius characteristics.This also leads to entirely new combinatorial formulas.

10.4310/joc.2012.v3.n3.a4 article EN Journal of Combinatorics 2012-01-01

Let J^ [X; q, t] be the integral form of Macdonald polynomial and set Hp _ t^^J^X/O.-1/t); g, l/t], where 71(11) = X!;(* -l)/^-This paper focusses on linear operator V defined by setting VH^ t n ^qn ^ ^H^.This occurs naturally in study Garsia-Haiman modules M^.It was originally introduced first two authors to give elegant expressions Frobenius characteristics intersections these (see [3]).However, it soon discovered that plays a powerful ubiquitous role throughout theory polynomials.Our main...

10.4310/maa.1999.v6.n3.a7 article EN Methods and Applications of Analysis 1999-01-01

For several years now, software quality has been a major concern for those involved in the area of engineering, and researchers as well practitioners domain have proposed instruments to measure it. Application is also managers end-user computing. However, since computing research much earlier stage than relatively few efforts made assess user-developed applications. Building on work engineering computing, this study developed assessed applications quality. The construct comprises eight...

10.1145/272657.272690 article EN ACM SIGMIS Database the DATABASE for Advances in Information Systems 1997-06-01

In the rapidly growing field of tissue engineering, functional properties substitutes are recognized as being utmost importance. The present study was designed to evaluate effects static mechanical forces on functionality produced constructs. Living sheets reconstructed by self-assembly approach from human cells, without addition synthetic material or extracellular matrix (ECM), were subjected load induce cell and ECM alignment. addition, alignment function these living evaluated. Our...

10.1089/ten.2005.11.90 article EN Tissue Engineering 2005-01-01

10.1023/a:1022481230120 article EN Journal of Algebraic Combinatorics 1992-01-01

In 2008, Haglund et al. [21] formulated a Compositional form of the Shuffle Conjecture [20]. very recent work, Gorsky and Negut, by combining their discoveries [19, 25, 26] with work Schiffmann Vasserot [28, 29] on symmetric function side Hikita [22] Mazin [18] combinatorial side, were led to formulate an infinite family conjectures that extend original fact, they one conjecture for each pair |$(m,n)$| coprime integers. This Gorsky–Negut leads naturally question as where...

10.1093/imrn/rnv272 article EN International Mathematics Research Notices 2015-10-01

10.1016/j.aim.2013.02.013 article EN publisher-specific-oa Advances in Mathematics 2013-03-22

10.1016/0022-4049(92)90153-7 article EN publisher-specific-oa Journal of Pure and Applied Algebra 1992-05-01

A field survey was conducted to study the factors associated with use of data processing chargeback information in organizations. The aim this research identify organizational and budgetary characteristics how output a system is used by user-managers control their costs. It found that involvement budget preparation, accountability for meeting budget, cost variability charges were most important consider when designing systems.

10.2307/249255 article EN MIS Quarterly 1986-09-01

In 2008, Haglund, Morse and Zabrocki formulated a Compositional form of the Shuffle Conjecture Haglund et al. very recent work, Gorsky Negut by combining their discoveries with work Schiffmann-Vasserot on symmetric function side Hikita Gorsky-Mazin combinatorial side, were led to formulate an infinite family conjectures that extend original fact, they one conjecture for each pair (m,n) coprime integers. This Gorsky-Negut leads naturally question as where Haglund-Morse-Zabrocki fits into...

10.48550/arxiv.1404.4616 preprint EN other-oa arXiv (Cornell University) 2014-01-01

We analyze the structure of algebra $\mathbb{K}\langle\mathbf{x}\rangle^{\mathfrak{S}_n}$ symmetric polynomials in non-commuting variables so far as it relates to $\mathbb{K}[\mathbf{x}]^{\mathfrak{S}_n}$, its commutative counterpart. Using "place-action" group, we are able realize latter invariant inside former. discover a tensor product decomposition analogous classical theorems Chevalley, Shephard-Todd on finite reflection groups. Résumé. Nous analysons la de l'algèbre des polynômes...

10.37236/438 article FR cc-by Discrete Mathematics & Theoretical Computer Science 2010-12-10

10.1016/0021-8693(92)90238-h article EN publisher-specific-oa Journal of Algebra 1992-05-01

We study properties of (bi-infinite) arrays having all adjacent $k\times k$ minors equal to one. If we further add the condition that $(k-1)\times(k-1)$ be nonzero, then these are necessarily rank $k$. It follows can explicit construct them. Several nice made apparent. In particular, revisit, with this perspective, notion frieze patterns Coxeter. This shed new light on their properties. A connexion is also established $T$-systems Statistical Physics.

10.1215/ijm/1299679749 article EN Illinois Journal of Mathematics 2010-01-01

We consider the graded $\S_n$-modules of higher diagonally harmonic polynomials in three sets variables (the trivariate case), and show that they have interesting ties with generalizations Tamari poset parking functions. In particular we get several nice formulas for associated Hilbert series Frobenius characteristic. This also leads to entirely new combinatorial formulas.

10.48550/arxiv.1105.3738 preprint EN other-oa arXiv (Cornell University) 2011-01-01
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