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1

Spectral analysis on graph-like spaces. Springer-Verlag, 2012.

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2

Post, Olaf. Spectral Analysis on Graph-like Spaces. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-23840-6.

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Obata, Nobuaki. Spectral Analysis of Growing Graphs. Springer Singapore, 2017. http://dx.doi.org/10.1007/978-981-10-3506-7.

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4

Graph spectra for complex networks. Cambridge University Press, 2011.

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5

1973-, Warzel Simone, ed. Random operators: Disorder effects on quantum spectra and dynamics. American Mathematical Society, 2015.

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6

Pierantozzi, Donald. Topics in Spectral Analysis: Algebraic Graph Theory. Independently Published, 2020.

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7

Spectral Clustering and Biclustering: Learning Large Graphs and Contingency Tables. Wiley, 2013.

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8

Bolla, Marianna. Spectral Clustering and Biclustering: Learning Large Graphs and Contingency Tables. Wiley & Sons, Incorporated, John, 2013.

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9

(Foreword), L. Accardi, ed. Quantum Probability and Spectral Analysis of Graphs (Theoretical and Mathematical Physics). Springer, 2007.

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10

Mieghem, Piet Van. Graph Spectra for Complex Networks. Cambridge University Press, 2012.

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11

Quantum Probability and Spectral Analysis of Graphs. Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/3-540-48863-4.

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12

Obata, Nobuaki. Spectral Analysis of Growing Graphs: A Quantum Probability Point of View. Ingramcontent, 2017.

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13

Quantum Probability and Spectral Analysis of Graphs Theoretical and Mathematical Physics. Springer, 2010.

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14

Verbaarschot, Jac. Quantum chaos and quantum graphs. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.33.

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This article examines the origins of the universality of the spectral statistics of quantum chaotic systems in the context of periodic orbit theory. It also considers interesting analogies between periodic orbit theory and the sigma model, along with related work on quantum graphs. The article first reviews some facts and definitions for classically chaotic systems in order to elucidate their quantum behaviour, focusing on systems with two degrees of freedom: one characterized by ergodicity and another by hyperbolicity. It then describes two semiclassical approximation techniques — Gutzwiller’
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Newman, Mark. Networks. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805090.001.0001.

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The study of networks, including computer networks, social networks, and biological networks, has attracted enormous interest in recent years. The rise of the Internet and the wide availability of inexpensive computers have made it possible to gather and analyse network data on an unprecendented scale, and the development of new theoretical tools has allowed us to extract knowledge from networks of many different kinds. The study of networks is broadly interdisciplinary and developments have occurred in many fields, including mathematics, physics, computer and information sciences, biology, an
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16

Introduction to Quantum Graphs (Mathematical Surveys and Monographs). American Mathematical Society, 2012.

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