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Books on the topic 'Randomness complexity'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Roman, Hirschfeldt Denis, ed. Algorithmic randomness and complexity. Springer, 2010.

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2

Downey, Rodney G., and Denis R. Hirschfeldt. Algorithmic Randomness and Complexity. Springer New York, 2010. http://dx.doi.org/10.1007/978-0-387-68441-3.

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3

Computability and randomness. Oxford University Press, 2009.

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4

Nies, André. Computability and randomness. Oxford University Press, 2012.

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5

Randomness and completeness in computational complexity. Springer-Verlag, 2000.

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6

van Melkebeek, Dieter. Randomness and Completeness in Computational Complexity. Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/3-540-44545-5.

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7

Zambelli, Stefano, and Donald A. R. George, eds. Nonlinearity, Complexity and Randomness in Economics. John Wiley & Sons, Ltd, 2012. http://dx.doi.org/10.1002/9781118300442.

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8

Maass, Alejandro. Dynamics and Randomness. Springer Netherlands, 2002.

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9

Randomness through computation: Some answers, more questions. World Scientific, 2011.

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10

Information and randomness: An algorithmic perspective. Springer-Verlag, 1994.

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11

Information and randomness: An algorithmic perspective. 2nd ed. Springer, 2002.

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12

A level of Martin-Lof randomness. Science Publishers, 2012.

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13

Zambelli, Stefano. Nonlinearity, complexity and randomness in economics: Towards algorithmic foundations for economics. John Wiley & Sons, 2012.

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14

Information, randomness & incompleteness: Papers on algorithmic information theory. 2nd ed. World Scientific, 1990.

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15

Information, randomness & incompleteness: Papers on algorithmic information theory. World Scientific, 1987.

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16

Goldreich, Oded, ed. Studies in Complexity and Cryptography. Miscellanea on the Interplay between Randomness and Computation. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-22670-0.

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17

Kirilyuk, Andrei P. Universal concept of complexity by the dynamic redundance paradigm: Causal randomness, complete wave mechanics, and the ultimate unification of knowledge. Nauk. dumka, 1997.

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18

service), SpringerLink (Online, ed. Studies in Complexity and Cryptography. Miscellanea on the Interplay between Randomness and Computation: In Collaboration with Lidor Avigad, Mihir Bellare, Zvika Brakerski, Shafi Goldwasser, Shai Halevi, Tali Kaufman, Leonid Levin, Noam Nisan, Dana Ron, Madhu Sudan, Luca Trevisan, Salil Vadhan, Avi Wigderson, David Zuckerman. Springer-Verlag GmbH Berlin Heidelberg, 2011.

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19

Vigdor, Steven E. Randomness and Complexity. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198814825.003.0007.

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Chapter 7 describes the fundamental role of randomness in quantum mechanics, in generating the first biomolecules, and in biological evolution. Experiments testing the Einstein–Podolsky–Rosen paradox have demonstrated, via Bell’s inequalities, that no local hidden variable theory can provide a viable alternative to quantum mechanics, with its fundamental randomness built in. Randomness presumably plays an equally important role in the chemical assembly of a wide array of polymer molecules to be sampled for their ability to store genetic information and self-replicate, fueling the sort of abiog

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20

Downey, Rod, and Denis Hirschfeldt. Algorithmic Randomness and Complexity. Springer, 2008.

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21

Downey, Rodney G., and Denis R. Hirschfeldt. Algorithmic Randomness and Complexity. Springer, 2016.

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22

Buresh-Oppenheim, Joshua. Randomness in proof complexity. 2005.

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23

Chaitin, Gregory J. Exploring Randomness. Springer, 2001.

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24

Chazelle, Bernard. The Discrepancy Method: Randomness and Complexity. Cambridge University Press, 2000.

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25

Melkebeek, Dieter van. Randomness and Completeness in Computational Complexity. Springer, 2001.

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26

1952-, Calude Cristian, and Chaitin Gregory J, eds. Randomness and complexity: From Leibniz to Chaitin. World Scientific, 2007.

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27

Calude, Cristian S. Randomness and Complexity, From Leibniz to Chaitin. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/6577.

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28

Tice, Bradley S. Level of Martin-Lof Randomness. Taylor & Francis Group, 2012.

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29

Tice, Bradley S. Level of Martin-Lof Randomness. Taylor & Francis Group, 2012.

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30

Eagle, Antony. Probability and Randomness. Edited by Alan Hájek and Christopher Hitchcock. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780199607617.013.22.

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Early work on the frequency theory of probability made extensive use of the notion of randomness, conceived of as a property possessed by disorderly collections of outcomes. Growing out of this work, a rich mathematical literature on algorithmic randomness and Kolmogorov complexity developed through the twentieth century, but largely lost contact with the philosophical literature on physical probability. The present chapter begins with a clarification of the notions of randomness and probability, conceiving of the former as a property of a sequence of outcomes, and the latter as a property of

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31

Zambelli, Stefano, and Donald A. R. George. Nonlinearity, Complexity and Randomness in Economics: Towards Algorithmic Foundations for Economics. Wiley & Sons, Incorporated, John, 2011.

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32

Zambelli, Stefano, and Donald A. R. George. Nonlinearity, Complexity and Randomness in Economics: Towards Algorithmic Foundations for Economics. Wiley & Sons, Incorporated, John, 2012.

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33

Zambelli, Stefano, and Donald A. R. George. Nonlinearity, Complexity and Randomness in Economics: Towards Algorithmic Foundations for Economics. Wiley & Sons, Incorporated, John, 2012.

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34

Goldreich, Oded, Avi Wigderson, Itai Benjamini, et al. Computational Complexity and Property Testing: On the Interplay Between Randomness and Computation. Springer, 2020.

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35

Small Worlds: The Dynamics of Networks between Order and Randomness (Princeton Studies in Complexity). Princeton University Press, 2003.

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36

Zbilut, Joseph P. Unstable Singularities and Randomness: Their Importance in the Complexity of Physical, Biological and Social Sciences. Elsevier Science, 2004.

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37

Calude, Cristian. Information and Randomness: An Algorithmic Perspective (E a T C S Monographs on Theoretical Computer Science). Springer-Verlag, 1995.

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