[图书][B] Critical phenomena in natural sciences: chaos, fractals, selforganization and disorder: concepts and tools
D Sornette - 2006 - books.google.com
Concepts, methods and techniques of statistical physics in the study of correlated, as well as
uncorrelated, phenomena are being applied ever increasingly in the natural sciences …
uncorrelated, phenomena are being applied ever increasingly in the natural sciences …
Discrete hierarchical organization of social group sizes
The 'social brain hypothesis' for the evolution of large brains in primates has led to evidence
for the coevolution of neocortical size and social group sizes, suggesting that there is a …
for the coevolution of neocortical size and social group sizes, suggesting that there is a …
Bubble diagnosis and prediction of the 2005–2007 and 2008–2009 Chinese stock market bubbles
By combining (i) the economic theory of rational expectation bubbles,(ii) behavioral finance
on imitation and herding of investors and traders and (iii) the mathematical and statistical …
on imitation and herding of investors and traders and (iii) the mathematical and statistical …
On a q-generalization of circular and hyperbolic functions
EP Borges - Journal of Physics A: Mathematical and General, 1998 - iopscience.iop.org
A generalization of the circular and hyperbolic functions is proposed, based on the Tsallis
statistics and on a consistent generalization of the Euler formula. Some properties of the …
statistics and on a consistent generalization of the Euler formula. Some properties of the …
Oscillatory finite-time singularities in finance, population and rupture
K Ide, D Sornette - Physica A: Statistical Mechanics and its Applications, 2002 - Elsevier
We present a simple two-dimensional dynamical system where two nonlinear terms,
exerting respectively positive feedback and reversal, compete to create a singularity in finite …
exerting respectively positive feedback and reversal, compete to create a singularity in finite …
The US 2000-2002 market descent: how much longer anddeeper?
D Sornette, WX Zhou - Quantitative Finance, 2002 - iopscience.iop.org
A remarkable similarity in the behaviour of the US S&P500 index from 1996 to August 2002
and of the Japanese Nikkei index from 1985 to 1992 (11 year shift) is presented, with …
and of the Japanese Nikkei index from 1985 to 1992 (11 year shift) is presented, with …
A case study of speculative financial bubbles in the South African stock market 2003–2006
WX Zhou, D Sornette - Physica A: Statistical Mechanics and its Applications, 2009 - Elsevier
We tested 45 indices and common stocks in the South African stock market for the possible
existence of a bubble over the period from January 2003 to May 2006. A bubble is defined …
existence of a bubble over the period from January 2003 to May 2006. A bubble is defined …
Fractal multi-level organisation of human groups in a virtual world
B Fuchs, D Sornette, S Thurner - Scientific reports, 2014 - nature.com
Humans are fundamentally social. They form societies which consist of hierarchically
layered nested groups of various quality, size and structure. The anthropologic literature has …
layered nested groups of various quality, size and structure. The anthropologic literature has …
A compact numerical scheme for the heat transfer of mixed convection flow in quantum calculus
This contribution aims to propose a compact numerical scheme to solve partial differential
equations (PDEs) with q-spatial derivative terms. The numerical scheme is based on the q …
equations (PDEs) with q-spatial derivative terms. The numerical scheme is based on the q …
On iterative methods for solving nonlinear equations in quantum calculus
Quantum calculus (also known as the q-calculus) is a technique that is similar to traditional
calculus, but focuses on the concept of deriving q-analogous results without the use of the …
calculus, but focuses on the concept of deriving q-analogous results without the use of the …