Pierre Tisseur's Home Page

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

Assistant Professor Trent University, Peterborough Ontario, Canada

CV + research project (in French) (in English)

mailto: pierre@xaravve.trentu.ca

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

[2]♣ 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]

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

[4]♣ On a zero speed sensitive cellular automaton map  (with Xavier Bressaud) submitted to Nonlinerarity [PDF]

[5]♣ Always finite entropy and Lyapunov exponents of two-dimensional cellular automata (Preprint (2005) in Arxive.org) [PDF]

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

[7]♣Density of periodic points, invariant measures and almost equicontinuous points of cellular automata [PDF] (Submitted)

[8]♣Canonical factors of one dimensional cellular automata

[9]♣ 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

Trent University (Fall [Functional Analysis, Partial Differential Equations], Winter [Applied Calculus])

Evry University (Computer Science: Java, DataBase)

Amiens University (Mathematics: Complex Analysis, Linear Algebra )

Aix-Marseille II University (Mathematics: Algebra, Real analysis)

♦ Links

♣ Journals

 Nonlinearity

Elsevier Ann. Institut Henri Poincare.

♣ Other links

 NCBI Genomic Biology  (Genetic sequences)  

Cellular automata software to explore the edge of chaos

Philosophical reflexion on  cellular automata  (Nazim Fates) (in French)

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

Cellular automata  Personal Home Page of Mirek Wojtowi

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