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Relativistic L\'evy processes
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2024
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Lucas G. B. de Souza
M. G. E. da Luz
Ernesto P. Raposo
Evaldo M. F. Curado
G. M. Viswanathan
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Mahler measures, elliptic curves, and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>L</mml:mi></mml:math> -functions for the free energy of the Ising model
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2024
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G. M. Viswanathan
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Author Correction: Generalization to d-dimensions of a fermionic path integral for exact enumeration of polygons on hypercubic lattices
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2024
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Massimo Ostilli
G. W. C. Rocha
C.G. Bezerra
G. M. Viswanathan
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Intermediate statistics: Addressing the thermoelectric properties of solids
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2024
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André A. Marinho
F. A. Brito
G. M. Viswanathan
C.G. Bezerra
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Generalization to d-dimensions of a fermionic path integral for exact enumeration of polygons on hypercubic lattices
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2024
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Massimo Ostilli
G. W. C. Rocha
C.G. Bezerra
G. M. Viswanathan
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Mahler measures, elliptic curves and $L$-functions for the free energy
of the Ising model
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2024
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G. M. Viswanathan
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Stochastic-like characteristics of arithmetic dynamical systems: the Collatz hailstone sequences
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2024
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Jaderson Guilherme Polli
Ernesto P. Raposo
G. M. Viswanathan
M. G. E. da Luz
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Fermionic path integral for exact enumeration of polygons on the simple cubic lattice
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2023
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G. M. Viswanathan
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Threshold-free estimation of entropy from a Pearson matrix
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2023
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H. Felippe
Aline Viol
Dráulio Barros de Araújo
M. G. E. da Luz
F. Palhano-Fontes
H. Onias
Ernesto P. Raposo
G. M. Viswanathan
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A fermionic path integral for exact enumeration of polygons on the simple cubic lattice
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2023
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G. M. Viswanathan
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Speedup of the Metropolis protocol via algorithmic optimization
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2022
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A.E. Macias-Medri
G. M. Viswanathan
Carlos E. Fiore
Marlus Koehler
M. G. E. da Luz
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What Does It Take to Solve the 3D Ising Model? Minimal Necessary Conditions for a Valid Solution
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2022
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G. M. Viswanathan
M A G Portillo
Ernesto P. Raposo
M. G. E. da Luz
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A random walk model with a mixed memory profile: Exponential and rectangular profile
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2022
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Kleython José Coriolano Cavalcanti de Lacerda
L. R. da Silva
G. M. Viswanathan
J. C. Cressoni
Marco Antonio Alves da Silva
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Spectrum of the tight-binding model on Cayley trees and comparison with Bethe lattices
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2022
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Massimo Ostilli
C.G. Bezerra
G. M. Viswanathan
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Numerical studies for an ab initio investigation into the Boltzmann prescription in statistical mechanics of large systems
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2022
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V Dossetti
G. M. Viswanathan
V. M. Kenkre
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Forecasting extreme events in collective dynamics: An analytic signal approach to detecting discrete scale invariance
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2022
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G. M. Viswanathan
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What does it take to solve the 3D Ising model? Minimal necessary conditions for a valid solution
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2022
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G. M. Viswanathan
M. A. G. Portillo
E. P. Raposo
M. G. E. da Luz
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Information parity on cortical functional brain networks increases under psychedelic influences
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2022
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Aline Viol
G. M. Viswanathan
Oleksandra Soldatkina
Fernanda Palhano-Fontes
Heloisa Onias
Draulio de Araujo
Philipp Hoevel
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The double hypergeometric series for the partition function of the 2D anisotropic Ising model
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2021
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G. M. Viswanathan
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Spectrum of the tight-binding model on Cayley Trees and comparison with
Bethe Lattices
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2021
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M. Ostilli
C.G. Bezerra
G. M. Viswanathan
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The von Neumann entropy for the Pearson correlation matrix: A test of the entropic brain hypothesis
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2021
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H. Felippe
Aline Viol
Dráulio Barros de Araújo
M. G. E. da Luz
F. Palhano-Fontes
H. Onias
Ernesto P. Raposo
G. M. Viswanathan
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Comment on “Inverse Square Lévy Walks are not Optimal Search Strategies for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi><mml:mo>≥</mml:mo><mml:mn>2</mml:mn></mml:math> ”
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2021
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Sergey V. Buldyrev
Ernesto P. Raposo
Frederic Bartumeus
Shlomo Havlin
Flávio Roberto Rusch
M. G. E. da Luz
G. M. Viswanathan
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Scale-free behavior in hailstone sequences generated by the Collatz map
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2021
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M. G. E. da Luz
Daniel Medeiros Santos
Ernesto P. Raposo
G. M. Viswanathan
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Revisiting Lévy flights on bounded domains: a Fock space approach
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2020
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H. A. Araújo
Mikhail Lukin
M. G. E. da Luz
G. M. Viswanathan
Fernando A. N. Santos
Ernesto P. Raposo
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Eclipse timing variation of GK Vir: evidence of a possible Jupiter-like planet in a circumbinary orbit
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2020
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L. A. Almeida
E. S. Pereira
Gleice Mara Coitinho Borges
A. Damineli
T. A. Michtchenko
G. M. Viswanathan
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The connection between Jackson and Hausdorff derivatives in the context of generalized statistical mechanics
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2020
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André A. Marinho
G. M. Viswanathan
F. A. Brito
C.G. Bezerra
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Non-Lévy stable random walk propagators for a non-Markovian walk with both superdiffusive and subdiffusive regimes
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2019
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Marco Antonio Alves da Silva
E.C. Rocha
J. C. Cressoni
L. R. da Silva
G. M. Viswanathan
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Why Lévy <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>α</mml:mi></mml:math> -stable distributions lack general closed-form expressions for arbitrary <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>α</mml:mi></mml:math>
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2019
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E.C. Rocha
M. G. E. da Luz
Ernesto P. Raposo
G. M. Viswanathan
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Characterizing Complex Networks Using Entropy-Degree Diagrams: Unveiling Changes in Functional Brain Connectivity Induced by Ayahuasca
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2019
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Aline Viol
Fernanda Palhano-Fontes
Heloisa Onias
Dráulio Barros de Araújo
Philipp Hövel
G. M. Viswanathan
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An efficient series approximation for the Lévy α -stable symmetric distribution
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2018
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J.C. Crisanto-Neto
M. G. E. da Luz
Ernesto P. Raposo
G. M. Viswanathan
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Surname complex network for Brazil and Portugal
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2018
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G. D. Ferreira
G. M. Viswanathan
L. R. da Silva
Hans J. Herrmann
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Shannon entropy of brain functional complex networks under the influence of the psychedelic Ayahuasca
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2017
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Aline Viol
Fernanda Palhano-Fontes
Heloisa Onias
Dráulio Barros de Araújo
G. M. Viswanathan
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Correspondence between spanning trees and the Ising model on a square lattice
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2017
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G. M. Viswanathan
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The complex social network of surnames: A comparison between Brazil and Portugal
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2017
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G. D. Ferreira
G. M. Viswanathan
L. R. da Silva
Hans J. Herrmann
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A formal power series expansion–regularization approach for Lévy stable distributions: the symmetric case with $\alpha =2/M$ (<i>M</i>positive integer)
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2016
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J.C. Crisanto-Neto
M. G. E. da Luz
Ernesto P. Raposo
G. M. Viswanathan
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Transient superdiffusion in random walks with a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si6.gif" display="inline" overflow="scroll"><mml:mi>q</mml:mi></mml:math>-exponentially decaying memory profile
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2016
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Thiago Rafael da Silva Moura
G. M. Viswanathan
Marco Antonio Alves da Silva
J. C. Cressoni
L. R. da Silva
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Efficient search of multiple types of targets
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2015
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Marina E. Wosniack
Ernesto P. Raposo
G. M. Viswanathan
M. G. E. da Luz
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Information entropy of classical versus explosive percolation
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2015
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Tiago M. Vieira
G. M. Viswanathan
L. R. da Silva
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Inferring Lévy walks from curved trajectories: A rescaling method
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2015
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Raphael M. Tromer
Mayara Bezerra Barbosa
Frederic Bartumeus
Jordi Catalán
M. G. E. da Luz
Ernesto P. Raposo
G. M. Viswanathan
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A parallel algorithm for random searches
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2015
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Marina E. Wosniack
Ernesto P. Raposo
G. M. Viswanathan
M. G. E. da Luz
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The hypergeometric series for the partition function of the 2D Ising model
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2015
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G. M. Viswanathan
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An alternative way to observe percolation phase transitions
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2014
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Tiago M. Vieira
G. M. Viswanathan
L. R. da Silva
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PDF
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Activity, diffusion, and correlations in a two-dimensional conserved stochastic sandpile
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2014
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Sharon D. da Cunha
L. R. da Silva
G. M. Viswanathan
Ronald Dickman
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Hydrodynamics at the smallest scales: a solvability criterion for Navier–Stokes equations in high dimensions
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2014
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T. M. Viswanathan
G. M. Viswanathan
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Superdiffusion driven by exponentially decaying memory
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2014
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G. A. Alves
João M. de Araújo
J. C. Cressoni
L. R. da Silva
M A A da Silva
G. M. Viswanathan
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Exact solution of an anisotropic 2D random walk model with strong memory correlations
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2013
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J. C. Cressoni
G. M. Viswanathan
M A A da Silva
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Non-Gaussian propagator for elephant random walks
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2013
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Marco Antonio Alves da Silva
J. C. Cressoni
Gunter M. Schütz
G. M. Viswanathan
Steffen Trimper
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Stochastic Optimal Foraging Theory
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2013
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Frederic Bartumeus
Ernesto P. Raposo
G. M. Viswanathan
M. G. E. da Luz
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Dissipative Lévy random searches: Universal behavior at low target density
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2012
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P. J. Ribeiro-Neto
Ernesto P. Raposo
H. A. Araújo
C. L. Faustino
M. G. E. da Luz
G. M. Viswanathan
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Robustness of the non-Markovian Alzheimer walk under stochastic perturbation
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2012
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J. C. Cressoni
L. R. da Silva
G. M. Viswanathan
M. A. A. da Silva
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Alzheimer random walk model: Two previously overlooked diffusion regimes
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2012
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J. C. Cressoni
G. M. Viswanathan
Zulma S. Ferreira
Marco Antonio Alves da Silva
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Conditions under which a superdiffusive random-search strategy is necessary
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2012
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S. A. Sotelo-López
M. C. Santos
Ernesto P. Raposo
G. M. Viswanathan
M. G. E. da Luz
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Superdiffusion in a non-Markovian random walk model with a Gaussian memory profile
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2012
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Gleice Mara Coitinho Borges
Zulma S. Ferreira
Marco Antonio Alves da Silva
J. C. Cressoni
G. M. Viswanathan
A.M. Mariz
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Weakly anomalous diffusion with non-Gaussian propagators
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2012
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J. C. Cressoni
G. M. Viswanathan
Zulma S. Ferreira
Marco Antonio Alves da Silva
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The universality class of random searches in critically scarce environments
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2012
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C. L. Faustino
M. L. Lyra
Ernesto P. Raposo
G. M. Viswanathan
M. G. E. da Luz
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Localized memory in a non-Markovian random walk model
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2012
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J. C. Cressoni
G. M. Viswanathan
Arlan da Silva Ferreira
Marco Antonio Alves da Silva
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Lévy sections vs. partial sums of heteroscedastic time series
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2011
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C. M. Nascimento
E. L. S. Helena
F. S. Passos
Iram Gléria
Ana Elisa Bastos Figueiredo
G. M. Viswanathan
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The Physics of Foraging: An Introduction to Random Searches and Biological Encounters
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2011
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G. M. Viswanathan
M. G. E. da Luz
Ernesto P. Raposo
H. Eugene Stanley
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Data analysis
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2011
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G. M. Viswanathan
M. G. E. da Luz
Ernesto P. Raposo
H. Eugene Stanley
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Adaptational versus emergent superdiffusion
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2011
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G. M. Viswanathan
M. G. E. da Luz
Ernesto P. Raposo
H. Eugene Stanley
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PDF
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Hydrodynamics at the smallest scales: a solvability criterion for Navier–Stokes equations in high dimensions
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2010
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T. Viswanathan
G. M. Viswanathan
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Anomalous diffusion in non-Markovian walks having amnestically induced persistence
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2010
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Zulma S. Ferreira
J. C. Cressoni
G. M. Viswanathan
Marco Antonio Alves da Silva
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Sudden onset of log-periodicity and superdiffusion in non-Markovian random walks with amnestically induced persistence: exact results
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2009
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M. L. Felisberto
F. S. Passos
Zulma S. Ferreira
Marco Antonio Alves da Silva
J. C. Cressoni
G. M. Viswanathan
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Lévy flights and random searches
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2009
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Ernesto P. Raposo
Sergey V. Buldyrev
M. G. E. da Luz
G. M. Viswanathan
H. Eugene Stanley
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Hurst exponents for interacting random walkers obeying nonlinear Fokker–Planck equations
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2009
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Niraj Kumar
G. M. Viswanathan
V. M. Kenkre
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Universal aspects of photocurrent-voltage characteristics in dye-sensitized nanocrystalline<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mtext>TiO</mml:mtext></mml:mrow><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:math>photoelectrochemical cells
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2009
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J. S. Agnaldo
J. C. Cressoni
G. M. Viswanathan
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A Solvability criterion for Navier-Stokes equations in high dimensions
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2009
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T. M. Viswanathan
G. M. Viswanathan
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Lflights and random searches
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2009
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Ernesto P. Raposo
Sergey V. Buldyrev
G. M. Viswanathan
H. Eugene Stanley
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PDF
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Spontaneous symmetry breaking and finite-time singularities in d-dimensional incompressible flows with fractional dissipation
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2008
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G. M. Viswanathan
T. Viswanathan
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Multifractality of random walks in the theory of vehicular traffic
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2008
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G. M. Buendía
G. M. Viswanathan
V. M. Kenkre
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PDF
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Spontaneous symmetry breaking in amnestically induced persistence
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2008
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Marco Antonio Alves da Silva
G. M. Viswanathan
Zulma S. Ferreira
J. C. Cressoni
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The Lévy sections theorem: An application to econophysics
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2007
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Ana Elisa Bastos Figueiredo
Raul Matsushita
Sérgio Da Silva
Maurizio Serva
G. M. Viswanathan
C. M. Nascimento
Iram Gléria
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Origin of power-law distributions in deterministic walks: The influence of landscape geometry
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2007
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M. C. Santos
Denis Boyer
Octavio Miramontes
G. M. Viswanathan
Ernesto P. Raposo
José L. Mateos
M. G. E. da Luz
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Amnestically Induced Persistence in Random Walks
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2007
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J. C. Cressoni
Marco Antonio Alves da Silva
G. M. Viswanathan
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Effects of finite probing windows on the interpretation of the multifractal properties of random walks
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2007
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Luca Giuggioli
G. M. Viswanathan
V. M. Kenkre
R. R. Parmenter
T. L. Yates
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Search dynamics at the edge of extinction: Anomalous diffusion as a critical survival state
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2007
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C. L. Faustino
L. R. da Silva
M. G. E. da Luz
Ernesto P. Raposo
G. M. Viswanathan
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Amnestically induced persistence
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2006
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J. C. Cressoni
M. A. A. da Silva
G. M. Viswanathan
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Forecasting extreme events in collective dynamics: an analytic signal approach to detecting discrete scale invariance
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2006
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G. M. Viswanathan
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Optimization of random searches on regular lattices
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2005
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M. C. Santos
G. M. Viswanathan
Ernesto P. Raposo
M. G. E. da Luz
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Discrete-time non-Markovian random walks: The effect of memory limitations on scaling
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2005
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Marco Antonio Alves da Silva
J. C. Cressoni
G. M. Viswanathan
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CRITICAL BEHAVIOR OF AN EPIDEMIC MODEL OF DRUG RESISTANT DISEASES
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2004
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C. R. da Silva
U. L. Fulco
M. L. Lyra
G. M. Viswanathan
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Optimal random searches of revisitable targets: Crossover from superdiffusive to ballistic random walks
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2004
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M. C. Santos
Ernesto P. Raposo
G. M. Viswanathan
M. G. E. da Luz
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Variance fluctuations in nonstationary time series: a comparative study of music genres
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2004
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Heather D Jennings
Plamen Ch. Ivanov
Allan Martins
P.C da Silva
G. M. Viswanathan
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Dynamical Robustness of Lévy Search Strategies
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2003
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Ernesto P. Raposo
Sergey V. Buldyrev
M. G. E. da Luz
M. C. Santos
H. Eugene Stanley
G. M. Viswanathan
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PDF
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The origin of fat-tailed distributions in financial time series
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2003
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G. M. Viswanathan
U. L. Fulco
M. L. Lyra
Maurizio Serva
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Largest and second largest cluster statistics at the percolation threshold of hypercubic lattices
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2002
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C. R. da Silva
M. L. Lyra
G. M. Viswanathan
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Kinematics of stock prices
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2002
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Maurizio Serva
U. L. Fulco
M. L. Lyra
G. M. Viswanathan
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Kinematics of stock prices
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2002
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Maurizio Serva
U. L. Fulco
M. L. Lyra
G. M. Viswanathan
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The origin of fat tailed distributions in financial time series
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2001
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G. M. Viswanathan
U. L. Fulco
M. L. Lyra
Maurizio Serva
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Properties of Lévy flights on an interval with absorbing boundaries
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2001
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Sergey V. Buldyrev
M. Gitterman
Shlomo Havlin
A. Ya. Kazakov
M. G. E. da Luz
Ernesto P. Raposo
H. Eugene Stanley
G. M. Viswanathan
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Average time spent by Lévy flights and walks on an interval with absorbing boundaries
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2001
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Sergey V. Buldyrev
Shlomo Havlin
A. Ya. Kazakov
M. G. E. da Luz
Ernesto P. Raposo
H. Eugene Stanley
G. M. Viswanathan
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Improvements in the statistical approach to random Lévy flight searches
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2001
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M. G. E. da Luz
Sergey V. Buldyrev
Shlomo Havlin
Ernesto P. Raposo
H. Eugene Stanley
G. M. Viswanathan
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The origin of fat tailed distributions in financial time series
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2001
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G. M. Viswanathan
U. L. Fulco
M. L. Lyra
Maurizio Serva
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Average Time Spent by a Levy Flyer on an Interval with Absorbing Boundaries
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2000
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Sergey V. Buldyrev
Shlomo Havlin
A. Ya. Kazakov
M. G. E. da Luz
Ernesto P. Raposo
H. Eugene Stanley
G. M. Viswanathan
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Roughness scaling and sensitivity to initial conditions in a symmetric restricted ballistic deposition model
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2000
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R. G. da Silva
M. L. Lyra
C. R. da Silva
G. M. Viswanathan
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BOUNDARY CONDITION DEPENDENCE OF CLUSTER SIZE RATIOS IN RANDOM PERCOLATION
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2000
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C. R. da Silva
M. L. Lyra
G. M. Viswanathan
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Quantifying nonstationary radioactivity concentration fluctuations near Chernobyl: A complete statistical description
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2000
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G. M. Viswanathan
Sergey V. Buldyrev
Е. К. Garger
V. A. Kashpur
L. S. Lucena
Alexander Shlyakhter
H. Eugene Stanley
J. Tschiersch
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Lévy flights in random searches
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2000
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G. M. Viswanathan
Vsevolod Afanasyev
Sergey V. Buldyrev
Shlomo Havlin
M. G. E. da Luz
Ernesto P. Raposo
H. Eugene Stanley
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The Strange Behavior of Critical Branched Polymers
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2000
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H. H. Aragao-Rego
J. E. de Freitas
L. S. Lucena
G. M. Viswanathan
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A New Model to Simulate the Growth of Branched Polymers
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2000
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Hênio Henrique Aragao Rêgo
Liacir dos Santos Lucena
G. M. Viswanathan
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