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Books on the topic 'Combinatorial dynamical systems'

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Author: Grafiati
Published: 10 December 2022
Last updated: 28 January 2023

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1

1940-, Zehnder Eduard, ed. Notes on dynamical systems. Providence, RI: American Mathematical Society, 2005.

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2

Fauvet, Frédéric, and Claude Mitschi, eds. From Combinatorics to Dynamical Systems. Berlin, New York: Walter de Gruyter, 2003. http://dx.doi.org/10.1515/9783110200003.

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3

Barg, Alexander, and O. R. Musin. Discrete geometry and algebraic combinatorics. Providence, Rhode Island: American Mathematical Society, 2014.

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4

Bhattacharya, Siddhartha, Tarun Das, Anish Ghosh, and Riddhi Shah. Recent trends in ergodic theory and dynamical systems: International conference in honor of S.G. Dani's 65th birthday, December 26--29, 2012, Vadodara, India. Providence, Rhode Island: American Mathematical Society, 2015.

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5

Wirsching, Günther J. The dynamical system generated by the 3n + 1 function. Berlin: Springer, 1998.

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6

Fogg, N. Pytheas, S. bastien Ferenczi, Christian Mauduit, and Anne Siegel. Substitutions in Dynamics, Arithmetics and Combinatorics. Berlin: Springer-Verlag Berlin Heidelberg, 2002.

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7

Ferenczi, Sébastien, Joanna Kułaga-Przymus, and Mariusz Lemańczyk, eds. Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-74908-2.

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8

Murfitt, Louise. Discrete event dynamic systems in max-algebra: Realisation and related combinatorial problems. Birmingham: University of Birmingham, 2000.

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9

International Congress of Chinese Mathematicians (5th 2010 Beijing, China). Fifth International Congress of Chinese Mathematicians. Edited by Ji Lizhen 1964-. Providence, R.I: American Mathematical Society, 2012.

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10

1964-, Ji Lizhen, ed. Fifth International Congress of Chinese Mathematicians. Providence, R.I: American Mathematical Society, 2012.

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11

A, Kaimanovich Vadim, and Lodkin A. 1945-, eds. Representation theory, dynamical systems, and asymptotic combinatorics. Providence, R.I: American Mathematical Society, 2006.

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12

Combinatorial Constructions in Ergodic Theory and Dynamics (University Lecture Series). American Mathematical Society, 2003.

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13

The Octagonal PETs. American Mathematical Society, 2014.

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14

Thurner, Stefan, Rudolf Hanel, and Peter Klimekl. Evolutionary Processes. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198821939.003.0005.

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Evolutionary processes combine many features of complex systems: they are algorithmic; states co-evolve with interactions; they show power law statistics; they are selforganized critical; and they are driven non-equilibrium systems. Evolution is a dynamical process that changes the composition of large sets of interconnected elements, entities, or species over time. The essence of evolutionary processes is that, through the interaction of existing entities with each other and with their environment, they give rise to an open-ended process of creation and destruction of new entities. Evolutionary processes are critical, co-evolutionary, and combinatorial, meaning that thew entities are created from combinations of existing ones. We review the concepts of the replicator equation, fitness landscapes, cascading events, the adjacent possible. We review several classical quantitative approaches to evolutionary dynamics such as the NK model and the Bak–Snappen model. We propose a general and universal framework for evolutionary dynamics that is critical, co-evolutionary, and combinatorial.
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15

Kaimanovich, V., and A. Lodkin. Representation Theory, Dynamical Systems, and Asymptotic Combinatorics. American Mathematical Society, 2011.

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16

Athorne, Chris, 1957- editor of compilation, Maclagan, Diane, 1974- editor of compilation, and Strachan, Ian, 1965- editor of compilation, eds. Tropical geometry and integrable systems: Conference on Tropical Geometry and Integrable Systems, July 3-8, 2011, University of Glasgow, Glasgow, United Kingdom. 2012.

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17

(Editor), Valerie Berthé, Sebastien Ferenczi (Editor), Christian Mauduit (Editor), and Anne Siegel (Editor), eds. Substitutions in Dynamics, Arithmetics, and Combinatorics. Springer, 2002.

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18

Fogg, N. Pytheas, Valerie Berthé, and Sebastien Ferenczi. Substitutions in Dynamics, Arithmetics and Combinatorics. Springer, 2014.

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19

Mitschi, Claude, and Frederic Fauvet. From Combinatorics to Dynamical Systems: Journees de Calcul Formel, Strasbourg, March 22-23 2002. De Gruyter, Inc., 2003.

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20

Mitschi, Claude, and Frederic Fauvet. From Combinatorics to Dynamical Systems: Journées de Calcul Formel, Strasbourg, March 22-23 2002. de Gruyter GmbH, Walter, 2008.

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21

Schwartz, Richard Evan. The Plaid Model. Princeton University Press, 2019. http://dx.doi.org/10.23943/princeton/9780691181387.001.0001.

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Outer billiards provides a toy model for planetary motion and exhibits intricate and mysterious behavior even for seemingly simple examples. It is a dynamical system in which a particle in the plane moves around the outside of a convex shape according to a scheme that is reminiscent of ordinary billiards. This book provides a combinatorial model for orbits of outer billiards on kites. The book relates these orbits to such topics as polytope exchange transformations, renormalization, continued fractions, corner percolation, and the Truchet tile system. The combinatorial model, called “the plaid model,” has a self-similar structure that blends geometry and elementary number theory. The results were discovered through computer experimentation and it seems that the conclusions would be extremely difficult to reach through traditional mathematics. The book includes an extensive computer program that allows readers to explore the materials interactively and each theorem is accompanied by a computer demonstration.
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22

Schwind, Michael. Dynamic Pricing and Automated Resource Allocation for Complex Information Services: Reinforcement Learning and Combinatorial Auctions. Springer London, Limited, 2007.

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23

Ferenczi, Sébastien, Joanna Kułaga-Przymus, and Mariusz Lemańczyk. Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics: CIRM Jean-Morlet Chair, Fall 2016. Springer, 2018.

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24

(Editor), F. Fauvet, and C. Mitschi (Editor), eds. From Combinatorics to Dynamical Systems: Journees De Calcul Formel, Strasbourg, March 22-23, 2002 (Irma Lectures in Mathematics and Theoretical Physics, 3). Walter de Gruyter, 2003.

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25

Dynamic Pricing and Automated Resource Allocation for Complex Information Services: Reinforcement Learning and Combinatorial Auctions (Lecture Notes in Economics and Mathematical Systems). Springer, 2007.

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26

Algebraic And Geometric Aspects Of Integrable Systems And Random Matrices Ams Special Session Algebraic And Geometric Aspects Of Integrable Systems And Random Matrices January 67 2012 Boston Ma. American Mathematical Society, 2013.

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27

Higher order Fourier analysis. 2012.

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