Combinatorics and dynamical systems: Difference between revisions

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==References==
*{{citation
| last1 = Baake | first1 = Michael
| last2 = Damanik | first2 = David
| last3 = Putnam | first3 = Ian
| last4 = Solomyak | first4 = Boris
| publisher = Banff International Research Station for Mathematical Innovation and Discovery
| title = Aperiodic Order: Dynamical Systems, Combinatorics, and Operators
| url = http://www.birs.ca/workshops/2004/04w5001/report04w5001.pdf
| year = 2004}}.
*{{citation
| last1 = Berthé | first1 = Valérie
| last2 = Ferenczi | first2 = Sébastien
| last3 = Zamboni | first3 = Luca Q.
| contribution = Interactions between dynamics, arithmetics and combinatorics: the good, the bad, and the ugly
| ___location = Providence, RI
| mr = 2180244
| pages = 333–364
| publisher = Amer. Math. Soc.
| series = Contemp. Math.
| title = Algebraic and topological dynamics
| volume = 385
| year = 2005}}.
*{{citation
| last1 = Fauvet | first1 = F.
| last2 = Mitschi | first2 = C.
| isbn = 3-11-017875-3
| ___location = Berlin
| mr = 2049418
| publisher = Walter de Gruyter & Co.
| series = IRMA Lectures in Mathematics and Theoretical Physics
| title = From combinatorics to dynamical systems: Proceedings of the Computer Algebra Conference in honor of Jean Thomann held in Strasbourg, March 22–23, 2002
| volume = 3
| year = 2003}}.
*{{citation
| last = Fogg | first = N. Pytheas
| doi = 10.1007/b13861
| isbn = 3-540-44141-7
| ___location = Berlin
| mr = 1970385
| publisher = Springer-Verlag
| series = Lecture Notes in Mathematics
| title = Substitutions in dynamics, arithmetics and combinatorics
| volume = 1794
| year = 2002}}.
*{{citation
| last = Forman | first = Robin
| doi = 10.1007/PL00004638
| issue = 4
| journal = Mathematische Zeitschrift
| mr = 1644432
| pages = 629–681
| title = Combinatorial vector fields and dynamical systems
| volume = 228
| year = 1998}}.
*{{citation
| last1 = Kaimanovich | first1 = V.
| last2 = Lodkin | first2 = A.
| isbn = 978-0-8218-4208-9
| ___location = Providence, RI
| mr = 2286117
| publisher = American Mathematical Society
| series = American Mathematical Society Translations, Series 2
| title = Representation theory, dynamical systems, and asymptotic combinatorics (Papers from the conference held in St. Petersburg, June 8–13, 2004)
| volume = 217
| year = 2006}}.
*{{citation
| last = Latapy | first = Matthieu
| editor1-last = Krob | editor1-first = Daniel
| editor2-last = Mikhalev | editor2-first = Alexander A.
| arxiv = math/0008022
| contribution = Generalized integer partitions, tilings of zonotopes and lattices
| ___location = Berlin
| mr = 1798219
| pages = 256–267
| publisher = Springer
| title = Formal Power Series and Algebraic Combinatorics: 12th International Conference, FPSAC'00, Moscow, Russia, June 2000, Proceedings
| year = 2000}}.
*{{citation
| last = Lothaire | first = M. | authorlink = M. Lothaire
| isbn = 978-0-521-84802-2
| ___location = Cambridge
| mr = 2165687
| publisher = Cambridge University Press
| series = Encyclopedia of Mathematics and its Applications
| title = Applied combinatorics on words
| volume = 105
| year = 2005}}.
*{{citation
| last1 = Mortveit | first1 = Henning S.
| last2 = Reidys | first2 = Christian M.
| isbn = 978-0-387-30654-4
| ___location = New York
| mr = 2357144
| publisher = Springer
| series = Universitext
| title = An introduction to sequential dynamical systems
| year = 2008}}.
*{{citation
| last = Nekrashevych | first = Volodymyr
| contribution = Symbolic dynamics and self-similar groups
| ___location = Providence, RI
| mr = 2477417
| pages = 25–73
| publisher = Amer. Math. Soc.
| series = Fields Inst. Commun.
| title = Holomorphic Dynamics and Renormalization: A Volume in Honour of John Milnor's 75th Birthday
| volume = 53
| year = 2008}}.
*{{citation
| last1 = Starke | first1 = Jens
| last2 = Schanz | first2 = Michael
| contribution = Dynamical system approaches to combinatorial optimization
| ___location = Boston, MA
| mr = 1665408
| pages = 471–524
| publisher = Kluwer Acad. Publ.
| title = Handbook of combinatorial optimization, Vol. 2
| year = 1998}}.
 
==External links==
*[http://www.tetration.org/Combinatorics/index.html Combinatorics of Iterated Functions: Combinatorial Dynamics & Dynamical Combinatorics]
*[http://www.scholarpedia.org/article/Combinatorial_dynamics Combinatorial dynamics] at Scholarpedia
*"From Combinatorics to Dynamical Systems: Journées de Calcul Formel, Strasbourg, March 22-23, 2002", Frédéric Fauvet, Claude Mitschi, Walter de Gruyter, 2003, ISBN 9783110178753
*"Substitutions in Dynamics, Arithmetics, and Combinatorics", N. Pytheas Fogg, Valérie Berthé, Springer, 2002, ISBN 9783540441410
*"Representation Theory, Dynamical Systems, and Asymptotic Combinatorics", Vadim A. Kaimanovich, Andrei Lodkin,AMS Bookstore, 2006, ISBN 9780821842089
*"An Introduction to Sequential Dynamical Systems", Henning S. Mortveit, Christian M. Reidys, Springer, 2007, ISBN 9780387306544
*"Generalized integer partitions, tilings of zonotopes and lattices", Matthieu Latapy, chapter in "Formal Power Series and Algebraic Combinatorics: 12th International Conference, FPSAC'00, Moscow, Russia, June 2000, Proceedings", Edited by Daniel Krob, Alexander A. Mikhalev, Springer, 2000, ISBN 9783540672470
*"Applied Combinatorics on Words", M. Lothaire, Cambridge University Press, 2005, ISBN 9780521848022
*"Symbolic Dynamics and Self-similar Groups", Volodymyr Nekrashevych, chapter in "Holomorphic Dynamics and Renormalization: A Volume in Honour of John Milnor's 75th Birthday", John Willard Milnor, Mikhail Lyubich, Michael Yampolsky, AMS Bookstore, 2008, ISBN 9780821842751
*[http://www.birs.ca/workshops/2004/04w5001/report04w5001.pdf "Aperiodic Order: Dynamical Systems, Combinatorics, and Operators"], Michael Baake, David Damanik, Ian Putnam, Boris Solomyak, 2004 report of the Banff International Research Station for Mathematical Innovation and Discovery
*"Combinatorial vector fields and dynamical systems", Robin Forman, Mathematische Zeitschrift, Volume 228, Number 4 / August, 1998
*"Dynamical system approaches to combinatorial optimization", J Starke, M Schanz - Handbook of Combinatorial Optimization - books.google.com (VOL. 2) D.-Z. Du and PM Pardalos (eds.) pp. 471-524 © 1998 Kluwer Academic Publishers
*"Interactions between Dynamics, Arithmetics and Combinatorics: the Good, the Bad, and the Ugly", Valérie Berthé, Sébastien Ferenczi, and Luca Q. Zamboni, in "Algebraic and topological dynamics" Volume 385 of Contemporary mathematics - American Mathematical Society, 2005, ISBN 0821837516, 9780821837511
 
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