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20072020
most citedAnalyzing and Modeling Real-World Phenomena with Complex Networks: A Survey of Applications

813 citations

Showing 2010Show all

10 papers · 1 filter

cond-mat.stat-mech2010★ 16 cited

On low-sampling-rate Kramers-Moyal coefficients

C. Anteneodo, S. M. Duarte Queiros

We analyze the impact of the sampling interval on the estimation of Kramers-Moyal coefficients. We obtain the finite-time expressions of these coefficients for several standard pro…

math-ph2010★ 42 cited

q-Generalization of the inverse Fourier transform

M. Jauregui, C. Tsallis

A wide class of physical distributions appears to follow the q-Gaussian form, which plays the role of attractor according to a Central Limit Theorem generalized in the presence of…

cond-mat.stat-mech2010★ 7 cited

Describing the ground state of quantum systems through statistical mechanics

Andre M. C. Souza

We present a statistical mechanics description to study the ground state of quantum systems. In this approach, averages for the complete system are calculated over the non-interact…

cond-mat.stat-mech2010★ 2 cited

Lyapunov exponent of the random frequency oscillator: cumulant expansion approach

C. Anteneodo, R. O. Vallejos

We consider a one-dimensional harmonic oscillator with a random frequency, focusing on both the standard and the generalized Lyapunov exponents, and respectively. We…

q-bio.PE2010

Love kills: Simulations in Penna Ageing Model

D. Stauffer, S. Cebrat, T. J. P. Penna +1

The standard Penna ageing model with sexual reproduction is enlarged by adding additional bit-strings for love: Marriage happens only if the male love strings are sufficiently diff…

physics.comp-ph2010★ 1 cited

On the Efficiency of Data Representation on the Modeling and Characterization of Complex Networks

Carlos A. Ruggiero, Odemir M. Bruno, Gonzalo Travieso +1

Specific choices about how to represent complex networks can have a substantial effect on the execution time required for the respective construction and analysis of those structur…

cond-mat.stat-mech2010★ 20 cited

Time evolution towards q-Gaussian stationary states through unified Ito-Stratonovich stochastic equation

B. Coutinho dos Santos, C. Tsallis

We consider a class of single-particle one-dimensional stochastic equations which include external field, additive and multiplicative noises. We use a parameter which…

math-ph2010★ 39 cited

New representations of pi and Dirac delta using the nonextensive-statistical-mechanics q-exponential function

M. Jauregui, C. Tsallis

We present a generalization of the representation in plane waves of Dirac delta, , namely $δ(x)=(2-q)/(2π)\int_{-\infty}^\infty e_q^{…

cond-mat.stat-mech2010★ 11 cited

A generalization of the cumulant expansion. Application to a scale-invariant probabilistic model

Antonio Rodriguez, Constantino Tsallis

As well known, cumulant expansion is an alternative way to moment expansion to fully characterize probability distributions provided all the moments exist. If this is not the case,…

physics.data-an2010★ 25 cited

Dynamics of tournaments: the soccer case

H. V. Ribeiro, R. S. Mendes, L. C. Malacarne +2

A random walk-like model is considered to discuss statistical aspects of tournaments. The model is applied to soccer leagues with emphasis on the scores. This competitive system wa…