Superdiffusion and encounter rates in diluted, low dimensional worlds

F. Bartumeus , P. Fernández , M. G.E. da Luz , J. Catalan
European Physical Journal-special Topics 157 ( 1) 157 -166

26
2008
Space-Charge-Limited Bipolar Currents at High Fields in Polymer/C60 Diodes: A Simple Model Description

Natasha A.D. Yamamoto , Deize C. Grodniski , Lucimara S. Roman , Marlus Koehler
Advanced Materials Research 747 591 -594

2013
Lévy flight random searches in biological phenomena

G.M Viswanathan , F Bartumeus , Sergey V. Buldyrev , J Catalan
Physica A-statistical Mechanics and Its Applications 314 ( 1) 208 -213

91
2002
Lévy flights in random searches

G.M Viswanathan , V Afanasyev , Sergey V Buldyrev , Shlomo Havlin
Physica A-statistical Mechanics and Its Applications 282 ( 1) 1 -12

294
2000
Lévy flights search patterns of biological organisms

G.M Viswanathan , V Afanasyev , Sergey V Buldyrev , Shlomo Havlin
Physica A-statistical Mechanics and Its Applications 295 ( 1) 85 -88

57
2001
Improvements in the statistical approach to random Lévy flight searches

M.G.E da Luz , Sergey V Buldyrev , Shlomo Havlin , E.P Raposo
Physica A-statistical Mechanics and Its Applications 295 ( 1) 89 -92

43
2001
Scale-free behavior in hailstone sequences generated by the Collatz map

E. P. Raposo , M. G. E. Da Luz , G. M. Viswanathan , D. M. G. Dos Santos
Physical Review Research 3 ( 1) 013073

2021
Complex dynamics of life at different scales: from genomic to global environmental issues.

C. Anteneodo , M. G. E. Da Luz
Philosophical Transactions of the Royal Society A 368 ( 1933) 5561 -5568

6
2010
ANIMAL SEARCH STRATEGIES: A QUANTITATIVE RANDOM‐WALK ANALYSIS

Frederic Bartumeus , M. G E. da Luz , G. M. Viswanathan , J. Catalan
Ecology 86 ( 11) 3078 -3087

499
2005
XI Latin American Workshop on Nonlinear Phenomena

Celia Anteneodo , Marcos G E da Luz
Journal of Physics: Conference Series 246 ( 1) 011001

2010
The random search problem: trends and perspectives

Marcos G E da Luz , Alexander Grosberg , Ernesto P Raposo , Gandhi M Viswanathan
Journal of Physics A 42 ( 43) 430301

17
2009
Path integral for the quantum baker's map

M G E Da Luz , A M Ozorio De Almeida
Nonlinearity 8 ( 1) 43 -64

19
1995
Subjective expectation of rewards can change the behavior of smart but impatient foragers.

Marcos Gomes Eleuterio da Luz , Ernesto P. Raposo , Gandhimohan M. Viswanathan
Proceedings of the National Academy of Sciences of the United States of America 113 ( 31) 8571 -8573

3
2016
Emergence of Distinct Spatial Patterns in Cellular Automata with Inertia: A Phase Transition-Like Behavior

Klaus Kramer , Marlus Koehler , Carlos Fiore , Marcos da Luz
Entropy 19 ( 3) 102

4
2017
Sociophysics: Social collective behavior from the physics point of view

Marcos GE da Luz , Celia Anteneodo , Nuno Crokidakis , Matjaz Perc
Chaos, Solitons & Fractals 170 113379 -113379

7
2023
Stochastic optimal foraging theory

Frederic Bartumeus , Ernesto P Raposo , Gandhi M Viswanathan , Marcos GE da Luz
Dispersal, individual movement and spatial ecology: a mathematical perspective 3 -32

24
2013
What does it take to solve the 3D Ising model? Minimal necessary conditions for a valid solution

Gandhimohan M Viswanathan , Marco Aurelio G Portillo , Ernesto P Raposo , Marcos GE da Luz
Entropy 24 ( 11) 1665 -1665

8
2022
Special issue on the random search problem: trends and perspectives

Marcos GE da Luz , Alexander Y Grosberg , Ernesto P Raposo , Gandhi M Viswanathan
Journal of Physics A 41 ( 44) 440201

4
2008
Stochastic-like characteristics of arithmetic dynamical systems: the Collatz hailstone sequences

Jaderson Guilherme Polli , Ernesto Pessoa Raposo , GM Viswanathan , Marcos GE da Luz
Journal of Physics: Complexity

2024
Speedup of the Metropolis protocol via algorithmic optimization

AE Macias-Medri , Gandhi M Viswanathan , Carlos E Fiore , Marlus Koehler
Journal of Computational Science 66 101910 -101910

2023