https://www.complexityexplorer.org/explore/resources/532-modeling-complex-systems
Modeling Complex Systems
DescriptionPreface: "The purpose of this book is to show how models of complex systems are built up and to provide the mathematical tools indispensable for studying their dynamics. This is not, however, a book on the theory of dynamical systems illustrated with some applications; the focus is on modeling, so, in presenting the essential results of dynamical system theory, technical proofs of theorems are omitted, but references for the interested reader are indicated. While mathematic results on dynamical systems such as differential equations or recurrence equations abound, this is far from being the case from spatially extended systems such as automata networks, whose theory is still in its infancy. Many illustrative examples take from a variety of disciplines ranging from ecology and epidemiology to sociology and seismology, are given. "
Author: N. Boccara
Topic(s): ecology; epidemiology; sociology; seismology; economics;
URL: http://www.amazon.com/Modeling-Complex-Systems-Graduate-Physics/dp/1441965610
Modeling Complex Systems
DescriptionPreface: "The purpose of this book is to show how models of complex systems are built up and to provide the mathematical tools indispensable for studying their dynamics. This is not, however, a book on the theory of dynamical systems illustrated with some applications; the focus is on modeling, so, in presenting the essential results of dynamical system theory, technical proofs of theorems are omitted, but references for the interested reader are indicated. While mathematic results on dynamical systems such as differential equations or recurrence equations abound, this is far from being the case from spatially extended systems such as automata networks, whose theory is still in its infancy. Many illustrative examples take from a variety of disciplines ranging from ecology and epidemiology to sociology and seismology, are given. "
Author: N. Boccara
Topic(s): ecology; epidemiology; sociology; seismology; economics;
URL: http://www.amazon.com/Modeling-Complex-Systems-Graduate-Physics/dp/1441965610
Amazon
Modeling Complex Systems (Graduate Texts in Physics)
Mandelbrot’s definition of a fractal:
“a set for which the Hausdorff-Besicovitch dimension strictly exceeds the topological dimension.“
“a set for which the Hausdorff-Besicovitch dimension strictly exceeds the topological dimension.“
"Community structure is one of the key properties of complex networks and plays a crucial role in their topology and function. While an impressive amount of work has been done on the issue of community detection, very little attention has been so far devoted to the investigation of communities in real networks."
http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0011976
http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0011976
journals.plos.org
Characterizing the Community Structure of Complex Networks
Background Community structure is one of the key properties of complex networks and plays a crucial role in their topology and function. While an impressive amount of work has been done on the issue of community detection, very little attention has been so…
Terry Tao talks Shannon, entropy, n-grams & p-values in analyzing whether a certain speech was plagiarized
https://plus.google.com/+TerenceTao27/posts/fp3hjR85dX5?_utm_source=1-2-2
https://plus.google.com/+TerenceTao27/posts/fp3hjR85dX5?_utm_source=1-2-2
Google Plus
There is a classic paper of Shannon from 1950 (linked below) in which he estimates the entropy of the English language to be about 1 bit per character.…
http://arxiv.org/pdf/1607.06168.pdf مقاله جدید باراباشی بر روی آرکایو: «The fundamental advantages of temporal networks»