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This is a reply to the Comment on ``Analysis of the spatial distribution between successive earthquakes'' by Maximilian Jonas Werner and Didier Sornette.

Geophysics · Physics 2009-11-13 J. Davidsen , M. Paczuski

This is a comment on "Universal Fluctuations in Correlated Systems", by Bramwell et al, Phys. Rev. Lett., 84, 3744 (2000.

Statistical Mechanics · Physics 2016-08-31 N. W. Watkins , S. C. Chapman , G. Rowlands

Preliminary version of a contribution to the "Quantum Field Theory. Non-Perturbative QFT" topical area of "Modern Encyclopedia of Mathematical Physics" (SELECTA), eds. Aref'eva I, and Sternheimer D, Springer (2007). Consists of two parts -…

High Energy Physics - Theory · Physics 2007-05-23 Emil Nissimov , Svetlana Pacheva

The representation of complex systems as networks is inappropriate for the study of certain problems. We show several examples of social, biological, ecological and technological systems where the use of complex networks gives very limited…

Physics and Society · Physics 2013-04-02 Ernesto Estrada , Juan A. Rodriguez-Velazquez

A reliable understanding of the Earth system is essential for the life quality of modern society. Natural hazards are the cause of most life and resource losses. The ability to define the conditions for a sustainable development of…

Chaotic Dynamics · Physics 2025-04-08 Jürgen Kurths , Ankit Agarwal , Ugur Öztürk , Shubham Sharma , Norbert Marwan , Deniz Eroglu

This chapter aims at reviewing complex networks models and methods that were either developed for or applied to socioeconomic issues, and pertinent to the theme of New Economic Geography. After an introduction to the foundations of the…

Physics and Society · Physics 2015-04-22 Luis M. Varela , Giulia Rotundo , Marcel Ausloos , Jesus Carrete

Prepared for the Quantum Field Theory section of the Encyclopedia of Mathematical Physics, Elsevier, 2006. A brief introduction to the methodology and techniques of perturbative relativistic quantum field theory is presented.

High Energy Physics - Theory · Physics 2007-05-23 Richard J. Szabo

A review article on perturbation theory

Classical Physics · Physics 2007-11-19 Giovanni Gallavotti

In this paper, we focus on the topic Synchronization and consensus of Complex Networks and their relationships. It is revealed that two topics are closely relating to each other and all results given in \cite{Li} can be obtained by the…

Adaptation and Self-Organizing Systems · Physics 2018-04-30 Tianping Chen

This is a chapter of an encyclopedia which does not have an abstract.

Mesoscale and Nanoscale Physics · Physics 2018-06-19 H. Rafii-Tabar , G. A. Mansoori

We critique the measure of complexity introduced by Shiner, Davison, and Landsberg in Ref. [1]. In particular, we point out that it is over-universal, in the sense that it has the same dependence on disorder for structurally distinct…

chao-dyn · Physics 2009-10-31 James P. Crutchfield , David P. Feldman , Cosma Rohilla Shalizi

The aim of this text is to provide a linguistically accessible, but comprehensive introduction into a variety of topics in dynamical systems and its applications. Whilst preliminary knowledge of dynamical systems is useful, it is not…

Dynamical Systems · Mathematics 2026-01-09 Eugene Tan , David Walker , Michael Small , Braden Thorne

This is a position paper written as an introduction to the special volume on quantum algorithms I edited for the journal Mathematical Structures in Computer Science (Volume 20 - Special Issue 06 (Quantum Algorithms), 2010).

Quantum Physics · Physics 2011-03-09 Salvador E. Venegas-Andraca

In this paper we introduce new models of complex weighted networks sharing several properties with fractal sets: the deterministic non-homogeneous weighted fractal networks and the stochastic weighted fractal networks. Networks of both…

Statistical Mechanics · Physics 2010-02-02 Timoteo Carletti

Complex network theory is being widely used to study many real-life systems. One of the fields that can benefit from complex network theory approach is transportation network. In this paper, we briefly review the complex network theory…

Physics and Society · Physics 2023-08-10 Nur Umaisara Rashid , Kar Tim Chan

Networks are structures that pervade many natural and man-made phenomena. Recent findings have characterized many networks as not random structures, but as efficent complex formations. Current research has examined complex networks as…

Disordered Systems and Neural Networks · Physics 2007-05-23 Sean P. Gorman , Rajendra Kulkarni

We present an axiomatic approach to earthquake forecasting in terms of multi-component random fields on a lattice. This approach provides a method for constructing point estimates and confidence intervals for conditional probabilities of…

Geophysics · Physics 2013-10-29 V. Gertsik , M. Kelbert , A. Krichevets

Chapter from the book "Astrophysics", p.287-308. Edited by Ibrahim Kucuk, ISBN 978-953-51-0473-5, InTech, March 3, 2012.

High Energy Astrophysical Phenomena · Physics 2012-04-12 Sergey Bastrukov , Renxin Xu , Junwei Yu , Irina Molodtsova , Hsiang-Kuang Chang

I present my viewpoint on complexity, stressing general arguments and using a rather simple language.

Statistical Mechanics · Physics 2007-05-23 Giorgio Parisi

A stochastic dynamics framework for the study of complex systems is presented.

Statistical Mechanics · Physics 2007-05-23 L. S. Schulman , B. Gaveau
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