Pierre Tisseur's Home Page

Reserch Interests | Papers | Book | Java Software | Teaching | Links

Ph.D (Mathematics), University of Marseille (1999)

Professor Adjunto Universidade Federal do ABC Santo Andre, Sao Paulo Brasil

''Repertoire CV+articles+Projet-de-recherche+emplois-anterieurs en .zip''

Homepage google sites (Teaching 2009-2010)

mailto: pierre.tisseur@ufabc.edu.br

♦ Research Interests:

Ergodic theory, Dynamical Systems

Cellular Automata ( Deterministic and Probabilistic)

BioInformatics (DNA Statistics, Micro array analysis, Data Analysis )

Talk (Winter 2005 Meeting of the Canadian Mathematical Society, Victoria

Short Mathematics history of Cellular automata (in French)

♦ Papers

[1]♣Density of periodic points, invariant measures and almost equicontinuous points of cellular automata [PDF] Advance in Applied Mathematics Vol. 42 (2009)(

[2]♣ About a law complexity class of cellular automata Comptes Rendus Mathematiques Vol. 46 (2008)

[3]♣ On a zero speed sensitive cellular automaton map Nonlinearity, Vol. 9 p 1-19 (2007)  

[4]♣ The Operons, a criterium to compare the reliability of Transcriptome analisys tools: ICA is more reliable than ANOVA, PLS and PCA.Computational Biology and Chemistry 28 (2004) [PDF]

[5]♣ Lyapunov Exponent and Cellular automata . Nonlinearity 13 (2000) [PDF]

[6]♣ Some properties of cellular automata with equicontinuous points. Ann. Inst. Henri Poincare, (section Proba. and Statistics) 36 (2000) [PDF]

[7]♣ Invariant measure and decay of correlations for a class of ergodic probabilistic cellular automata Submited (2009) Arxive 2009

[8] Always finite entropy and Lyapunov exponents of two-dimensional cellular automata (Preprint (2005) in Arxive.org) [PDF] (New version Density entropy to be submited)

Equalities, inequalities between density flow, spatial and temporal entropies of Cellular automata   [PDF]  

A bilateral version of the Shannon Breiman Mc Millan Theorem (A didactic note 2003) (Preprint in Arxiv.org) [PDF]

♦ Book

From cristal to chaos (World Scientific Publishing 2000) Editor with (J.m Gambaudo, P. Hubert, S. Vaienti)

♦ Java Software

♣ CA1DLab (a small Java software to the study of deterministic and probabilistic cellular automata), zip file

♣ DEVPLS (A Java software for ACP, canonical, PLS and Canonical PLS analysis), zip file

♦ Teaching   See (Homepage google sites for teaching in 2009-2010)  

Universidade Federal do ABC:

Stochastic Analysis and Applications for finance

Measure Theory and Integration

Analytic geometry

EXTENSION COURSE:

Sistemas Dinâmicos e Sistemas Complexos (- Dynamical Systems : ; - Chaos: Devaney and lie-York definitions ; - Entropy - Examples of discretes dynamical systems : Unimodal functions, Cellular automata, shift, ....., Example and Contre-examples of Devaney definition; - Chaos and Computer Sciences; - Ergodic Theory and chaos)

Sequences and Series

Advance Linear Algebra

Trent University

Partial Differential Equations (Fall)

Applied Calculus (Winter)

Evry University

Computer Science: Java, DataBase

Amiens University

Complex Analysis, Real Analysis, Linear Algebra (ATER)

Aix-Marseille II University

Algebra, Real analysis (ATER)

♦ Links

  Google site (Pierre Tisseur)

 NCBI Genomic Biology  (Genetic sequences)  

Cellular automata software to explore the edge of chaos

Twenty Problems in the Theory of Cellular Automata (Wofram site)

Cellular automata  Personal Home Page of Mirek Wojtowi