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Books on the topic 'Random walks on network'

Author: Grafiati

Published: 11 March 2023

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1

Transfiniteness for graphs, electrical networks, and random walks. Boston: Birkhäuser, 1996.

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2

Pál, Révész, Tóth Bálint, Paul Erdős Summer Research Center of Mathematics., and International Workshop on Random Walks (1998 : Budapest, Hungary), eds. Random walks. Budapest, Hungary: János Bolyai Mathematical Society, 1999.

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3

Hughes, B. D. Random walks and random environments. Oxford: Clarendon Press, 1995.

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4

Gut, Allan. Stopped Random Walks. New York, NY: Springer New York, 1988. http://dx.doi.org/10.1007/978-1-4757-1992-5.

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5

Gut, Allan. Stopped Random Walks. New York, NY: Springer New York, 2009. http://dx.doi.org/10.1007/978-0-387-87835-5.

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6

Shi, Zhan. Branching Random Walks. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-25372-5.

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7

Random walk in random and non-random environments. Hackensack, New Jersey: World Scientific, 2013.

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8

Random walk in random and non-random environments. Singapore: Teaneck, N.J., 1990.

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9

Random walk in random and non-random environments. 2nd ed. New Jersey: World Scientific, 2005.

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10

Intersections of random walks. Boston: Birkhäuser, 1991.

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11

Lawler, Gregory F. Intersections of Random Walks. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-5972-9.

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12

Lawler, Gregory F. Intersections of Random Walks. Boston, MA: Birkhäuser Boston, 1991. http://dx.doi.org/10.1007/978-1-4757-2137-9.

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13

Lawler, Gregory F. Intersections of Random Walks. Boston, MA: Birkhäuser Boston, 1991. http://dx.doi.org/10.1007/978-1-4612-0771-9.

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14

Cohen, J. W. Analysis of random walks. Amsterdam: IOS Press, 1992.

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15

Markellos, Raphael N. High-frequency random walks? Loughborough: Loughborough University, Department of Economics, 1998.

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16

Intersections of random walks. Boston: Birkhäuser, 1996.

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17

Analysis of random walks. Amsterdam: IOS Press, 1992.

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18

Lawler, Gregory F. Intersections of Random Walks. New York, NY: Springer New York, 2013.

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19

Random walks in biology. Princeton, N.J: Princeton University Press, 1993.

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20

Bovier, Anton, David Brydges, Amin Coja-Oghlan, Dmitry Ioffe, and Gregory F. Lawler. Random Walks, Random Fields, and Disordered Systems. Edited by Marek Biskup, Jiří Černý, and Roman Kotecký. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-19339-7.

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21

Ceccherini-Silberstein, Tullio, Maura Salvatori, and Ecaterina Sava-Huss, eds. Groups, Graphs and Random Walks. Cambridge: Cambridge University Press, 2017. http://dx.doi.org/10.1017/9781316576571.

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22

Benoist, Yves, and Jean-François Quint. Random Walks on Reductive Groups. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-47721-3.

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23

Henze, Norbert. Irrfahrten – Faszination der Random Walks. Wiesbaden: Springer Fachmedien Wiesbaden, 2018. http://dx.doi.org/10.1007/978-3-658-22858-3.

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24

Lenz, Daniel, Florian Sobieczky, and Wolfgang Woess, eds. Random Walks, Boundaries and Spectra. Basel: Springer Basel, 2011. http://dx.doi.org/10.1007/978-3-0346-0244-0.

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25

Telcs, András. The Art of Random Walks. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/b134090.

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26

Lenz, Daniel, Florian Sobieczky, and Wolfgang Woess. Random walks, boundaries and spectra. Basel: Birkhäuser Verlag, 2011.

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27

The art of random walks. Berlin: Springer, 2006.

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28

Principles of random walk. 2nd ed. New York: Springer, 2001.

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29

Fayolle, Guy, Roudolf Iasnogorodski, and Vadim Malyshev. Random Walks in the Quarter Plane. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-50930-3.

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30

Fayolle, Guy, Roudolf Iasnogorodski, and Vadim Malyshev. Random Walks in the Quarter-Plane. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/978-3-642-60001-2.

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31

Solway, David. Random walks: Essays in elective criticism. Montreal: McGill-Queen's University Press, 1997.

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32

Alexanderson, Gerald L. The random walks of George Pólya. [Washington, DC]: The Mathematical Association of America, 2000.

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33

Dynamic random walks: Theory and applications. Amsterdam: Elsevier, 2005.

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34

Solway, David. Random walks: Essays in elective criticism. Montreal: McGill-Queen's University Press, 1997.

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35

Random walks of infinitely many particles. Singapore: World Scientific, 1994.

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36

Solway, David. Random walks: Essays in elective criticism. Montreal: McGill-Queen's University Press, 1997.

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37

Högnäs, Göran. Probability measures on semigroups: Convolution products, random walks, and random matrices. New York: Plenum Press, 1995.

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38

Zemanian, Armen H. Transfiniteness: For Graphs, Electrical Networks, and Random Walks. Birkhauser Verlag, 2013.

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39

Zemanian, Armen H. Transfiniteness: For Graphs, Electrical Networks, and Random Walks. Birkhäuser Boston, 2013.

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40

Collet, Bernard, Andrzej Nowakowski, Thomas Michelitsch, Alejandro Perez Riascos, and Franck Nicolleau. Fractional Dynamics on Networks and Lattices. Wiley & Sons, Incorporated, John, 2019.

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41

Collet, Bernard, Andrzej Nowakowski, Thomas Michelitsch, Alejandro Perez Riascos, and Franck Nicolleau. Fractional Dynamics on Networks and Lattices. Wiley & Sons, Incorporated, John, 2019.

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42

Collet, Bernard, Andrzej Nowakowski, Thomas Michelitsch, Alejandro Perez Riascos, and Franck Nicolleau. Fractional Dynamics on Networks and Lattices. Wiley & Sons, Incorporated, John, 2019.

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43

Collet, Bernard, Andrzej Nowakowski, Thomas Michelitsch, Alejandro Perez Riascos, and Franck Nicolleau. Fractional Dynamics on Networks and Lattices. Wiley & Sons, Incorporated, John, 2019.

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44

Bianconi, Ginestra. Diffusion. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198753919.003.0014.

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This chapter addresses diffusion, random walks and congestion in multilayer networks. Here it is revealed that diffusion on a multilayer network can be significantly speed up with respect to diffusion taking place on its single layers taken in isolation, and that sometimes it is possible also to observe super-diffusion. Diffusion is here characterized on multilayer network structures by studying the spectral properties of the supra-Laplacian and the dependence on the diffusion constant among different layers. Random walks and its variations including the Lévy Walk are shown to reflect the improved navigability of multilayer networks with more layers. These results are here compared with the results of traffic on multilayer networks that, on the contrary, point out that increasing the number of layers could be detrimental and could lead to congestion.

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45

Newman, Mark. Mathematics of networks. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805090.003.0006.

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An introduction to the mathematical tools used in the study of networks. Topics discussed include: the adjacency matrix; weighted, directed, acyclic, and bipartite networks; multilayer and dynamic networks; trees; planar networks. Some basic properties of networks are then discussed, including degrees, density and sparsity, paths on networks, component structure, and connectivity and cut sets. The final part of the chapter focuses on the graph Laplacian and its applications to network visualization, graph partitioning, the theory of random walks, and other problems.

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46

Amsel, Ben D. Category verification: Towards combining connectionist attractor network and random walk accounts of human data. 2006.

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47

Simon, Marvin K. Probability Distributions Involving Gaussian Random Variables: A Handbook for Engineers and Scientists. Springer London, Limited, 2007.

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48

Simon, Marvin K. Probability Distributions Involving Gaussian Random Variables: A Handbook for Engineers and Scientists (The International Series in Engineering and Computer Science). Springer, 2002.

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49

Probability Distributions Involving Gaussian Random Variables: A Handbook for Engineers, Scientists and Mathematicians (Springer International Series in Engineering and Computer Science). Springer, 2006.

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50

Fu, Guangyu. Random walks and random polynomials. 2006.

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