Edit Profile (opens in new tab) Da Luz, Marcos G. E. Co-Author Distance Author ID: da-luz.marcos-g-e Published as: da Luz, M. G. E.; da Luz, Marcos G. E.; Da Luz, Marcos G. E. more...less External Links: MGP Documents Indexed: 41 Publications since 1992, including 1 Book and 4 Additional arXiv Preprints Co-Authors: 41 Co-Authors with 41 Joint Publications 635 Co-Co-Authors all top 5 Co-Authors 0 single-authored 14 Raposo, Ernesto P. 14 Viswanathan, Gandhimohan M. 8 Cheng, Binkang 6 Andrade, Fabiano M. 6 Stanley, H. Eugene 5 Buldyrev, Sergey V. 4 Bartumeus, Frederic 4 Havlin, Shlomo 3 Zanetti, F. M. 2 Beims, Marcus W. 2 Crisanto-Neto, J. C. 2 Delben, G. J. 2 Fa, Kwok Sau 2 Ozorio de Almeida, Alfredo M. 2 Portillo, M. A. G. 2 Schmidt, Alexandre G. M. 2 Schulman, Lawrence S. 2 Venancio, B. F. 2 Vicentini, E. 1 Anteneodo, Celia 1 Azevedo, A. L. 1 Fiore, Carlos E. 1 Fulco, Umberto L. 1 Gitterman, Moshe 1 Grosberg, Alexander Yu. 1 Gusso, Andre 1 Heller, Eric J. 1 Lukin, M. O. 1 Lyra, Marcelo L. 1 Macêdo, Antônio M. S. 1 Matos, Y. B. 1 Nicolau, N. S. 1 Pianegonda, Salete 1 Rego, Luis G. C. 1 Sales, Matheus Rolim 1 Santana-Filho, J. V. 1 Santos, Fernando Antônio Nóbrega 1 Teston, F. 1 Valentim, A. 1 Vasconcelos, Giovani L. 1 Wosniack, M. E. all top 5 Serials 7 Journal of Physics A: Mathematical and General 7 Journal of Physics A: Mathematical and Theoretical 5 Physica A 3 Journal of Statistical Mechanics: Theory and Experiment 2 Physica D 2 Annals of Physics 2 Journal of Theoretical Biology 1 Computer Physics Communications 1 Nonlinearity 1 Physics Letters. A 1 Physics Reports 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Quantum Information Processing 1 Foundations of Physics all top 5 Fields 15 Quantum theory (81-XX) 13 Probability theory and stochastic processes (60-XX) 11 Statistical mechanics, structure of matter (82-XX) 7 Biology and other natural sciences (92-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Statistics (62-XX) 1 Combinatorics (05-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 172 times in 138 Documents Cited by ▼ Year ▼ The physics of foraging. An introduction to random searches and biological encounters. Zbl 1302.92007 Viswanathan, Gandhimohan M.; da Luz, Marcos G. E.; Raposo, Ernesto P.; Stanley, H. Eugene 70 2011 Properties of Lévy flights on an interval with absorbing boundaries. Zbl 0983.60022 Buldyrev, S. V.; Gitterman, M.; Havlin, S.; Kazakov, A. Ya.; da Luz, M. G. E.; Raposo, E. P.; Stanley, H. E.; Viswanathan, G. M. 19 2001 Lévy flight random searches in biological phenomena. Zbl 1001.92012 Viswanathan, G. M.; Bartumeus, F.; Buldyrev, Sergey V.; Catalan, J.; Fulco, U. L.; Havlin, Shlomo; da Luz, M. G. E.; Lyra, M. L.; Raposo, E. P.; Stanley, H. Eugene 9 2002 The influence of turning angles on the success of non-oriented animal searches. Zbl 1398.92287 Bartumeus, F.; Catalan, J.; Viswanathan, G. M.; Raposo, E. P.; da Luz, M. G. E. 7 2008 Lévy flights search patterns of biological organisms. Zbl 0984.92519 Viswanathan, G. M.; Afanasyev, V.; Buldyrev, S. V.; Havlin, S.; da Luz, M. G. E.; Raposo, E. P.; Stanley, H. E. 6 2001 Eigenstates and scattering solutions for billiard problems: a boundary wall approach. Zbl 1149.81009 Zanetti, F. M.; Vicentini, E.; da Luz, M. G. E. 6 2008 Green’s function approach for quantum graphs: an overview. Zbl 1359.81117 Andrade, Fabiano M.; Schmidt, A. G. M.; Vicentini, E.; Cheng, B. K.; da Luz, M. G. E. 6 2016 Lévy flights and random searches. Zbl 1186.68152 Raposo, E. P.; Buldyrev, S. V.; da Luz, M. G. E.; Viswanathan, G. M.; Stanley, H. E. 5 2009 A generalized semiclassical expression for the eigenvalues of multiple well potentials. Zbl 1047.81028 Andrade, F. M.; Cheng, Bin Kang; Beims, M. W.; da Luz, M. G. E. 5 2003 Green function approach for general quantum graphs. Zbl 1116.81315 Schmidt, Alexandre G. M.; Cheng, Bin Kang; da Luz, M. G. E. 5 2003 Asymptotic Green functions: a generalized semiclassical approach for scattering by multiple barrier potentials. Zbl 1048.81059 da Luz, M. G. E.; Cheng, Bin Kang; Beims, M. W. 3 2001 Exact propagator for a two-dimensional inverse quadratic oscillator interacting with a wedge. Zbl 0753.34054 Cheng, B. K.; da Luz, M. G. E. 3 1992 Stochastic optimal foraging theory. Zbl 1347.92103 Bartumeus, Frederic; Raposo, Ernesto P.; Viswanathan, Gandhi M.; da Luz, Marcos G. E. 3 2013 Classifying the general family of 1D point interactions: a scattering approach. Zbl 1084.81032 Zanetti, F. M.; Kuhn, J.; Delben, G. J.; Cheng, B. K.; da Luz, M. G. E. 2 2006 Improvements in the statistical approach to random Lévy flight searches. Zbl 0978.60037 da Luz, M. G. E.; Buldyrev, S. V.; Havlin, S.; Raposo, E. P.; Stanley, H. E.; Viswanathan, G. M. 2 2001 Path integral for the quantum baker’s map. Zbl 0819.58002 da Luz, M. G. E.; Ozorio de Almeida, A. M. 2 1995 Looking for the source of change. Zbl 1381.81016 Schulman, L. S.; da Luz, M. G. E. 2 2016 Exact form of Green functions for segmented potentials. Zbl 1001.81508 da Luz, M. G. E.; Heller, E. J.; Cheng, Bin Kang 2 1998 A Langevin dynamics approach to the distribution of animal move lengths. Zbl 1456.92155 Santana-Filho, J. V.; Raposo, E. P.; Macêdo, A. M. S.; Vasconcelos, G. L.; Viswanathan, G. M.; Bartumeus, F.; da Luz, M. G. E. 2 2020 Revisiting Lévy flights on bounded domains: a Fock space approach. Zbl 1459.60097 Araújo, H. A.; Lukin, M. O.; da Luz, M. G. E.; Viswanathan, G. M.; Santos, F. A. N.; Raposo, E. P. 2 2020 An efficient series approximation for the Lévy \(\alpha\)-stable symmetric distribution. Zbl 1407.62059 Crisanto-Neto, J. C.; da Luz, M. G. E.; Raposo, E. P.; Viswanathan, G. M. 2 2018 Path integrals and edge corrections for torus maps. Zbl 0890.58055 Ozorio de Almeida, A. M.; da Luz, M. G. E. 1 1996 The random search problem: trends and perspectives. Zbl 1175.90009 Da Luz, Marcos G. E.; Grosberg, Alexander; Raposo, Ernesto P.; Viswanathan, Gandhi M. 1 2009 Anomalous quantum chaotic behaviour in suspended electromechanical nanostructures. Zbl 1081.81048 Rego, Luis G. C.; Gusso, Andre; da Luz, M. G. E. 1 2005 On the propagators for hard-wall potentials oscillating periodically with constant velocity. Zbl 0825.70094 da Luz, M. G. E.; Cheng, Bin Kang 1 1994 Punctuated equilibrium as an emergent process and its modified thermodynamic characterization. Zbl 1368.92204 Wosniack, M. E.; da Luz, M. G. E.; Schulman, L. S. 1 2017 General tracking control of arbitrary \(N\)-level quantum systems using piecewise time-independent potentials. Zbl 1338.81223 Delben, G. J.; da Luz, M. G. E. 1 2016 A formal power series expansion-regularization approach for Lévy stable distributions: the symmetric case with \(\alpha =2/M\) (\(M\) positive integer). Zbl 1350.60017 Crisanto-Neto, J. C.; da Luz, M. G. E.; Raposo, E. P.; Viswanathan, G. M. 1 2016 Spanning tree generating functions for infinite periodic graphs \(L\) and connections with simple closed random walks on \(L\). Zbl 1519.82108 Portillo, M. A. G.; da Luz, M. G. E. 1 2021 Unveiling and exemplifying the unitary equivalence of discrete time quantum walk models. Zbl 1267.81226 Venancio, B. F.; Andrade, F. M.; da Luz, M. G. E. 1 2013 Spanning tree generating functions for infinite periodic graphs \(L\) and connections with simple closed random walks on \(L\). Zbl 1519.82108 Portillo, M. A. G.; da Luz, M. G. E. 1 2021 A Langevin dynamics approach to the distribution of animal move lengths. Zbl 1456.92155 Santana-Filho, J. V.; Raposo, E. P.; Macêdo, A. M. S.; Vasconcelos, G. L.; Viswanathan, G. M.; Bartumeus, F.; da Luz, M. G. E. 2 2020 Revisiting Lévy flights on bounded domains: a Fock space approach. Zbl 1459.60097 Araújo, H. A.; Lukin, M. O.; da Luz, M. G. E.; Viswanathan, G. M.; Santos, F. A. N.; Raposo, E. P. 2 2020 An efficient series approximation for the Lévy \(\alpha\)-stable symmetric distribution. Zbl 1407.62059 Crisanto-Neto, J. C.; da Luz, M. G. E.; Raposo, E. P.; Viswanathan, G. M. 2 2018 Punctuated equilibrium as an emergent process and its modified thermodynamic characterization. Zbl 1368.92204 Wosniack, M. E.; da Luz, M. G. E.; Schulman, L. S. 1 2017 Green’s function approach for quantum graphs: an overview. Zbl 1359.81117 Andrade, Fabiano M.; Schmidt, A. G. M.; Vicentini, E.; Cheng, B. K.; da Luz, M. G. E. 6 2016 Looking for the source of change. Zbl 1381.81016 Schulman, L. S.; da Luz, M. G. E. 2 2016 General tracking control of arbitrary \(N\)-level quantum systems using piecewise time-independent potentials. Zbl 1338.81223 Delben, G. J.; da Luz, M. G. E. 1 2016 A formal power series expansion-regularization approach for Lévy stable distributions: the symmetric case with \(\alpha =2/M\) (\(M\) positive integer). Zbl 1350.60017 Crisanto-Neto, J. C.; da Luz, M. G. E.; Raposo, E. P.; Viswanathan, G. M. 1 2016 Stochastic optimal foraging theory. Zbl 1347.92103 Bartumeus, Frederic; Raposo, Ernesto P.; Viswanathan, Gandhi M.; da Luz, Marcos G. E. 3 2013 Unveiling and exemplifying the unitary equivalence of discrete time quantum walk models. Zbl 1267.81226 Venancio, B. F.; Andrade, F. M.; da Luz, M. G. E. 1 2013 The physics of foraging. An introduction to random searches and biological encounters. Zbl 1302.92007 Viswanathan, Gandhimohan M.; da Luz, Marcos G. E.; Raposo, Ernesto P.; Stanley, H. Eugene 70 2011 Lévy flights and random searches. Zbl 1186.68152 Raposo, E. P.; Buldyrev, S. V.; da Luz, M. G. E.; Viswanathan, G. M.; Stanley, H. E. 5 2009 The random search problem: trends and perspectives. Zbl 1175.90009 Da Luz, Marcos G. E.; Grosberg, Alexander; Raposo, Ernesto P.; Viswanathan, Gandhi M. 1 2009 The influence of turning angles on the success of non-oriented animal searches. Zbl 1398.92287 Bartumeus, F.; Catalan, J.; Viswanathan, G. M.; Raposo, E. P.; da Luz, M. G. E. 7 2008 Eigenstates and scattering solutions for billiard problems: a boundary wall approach. Zbl 1149.81009 Zanetti, F. M.; Vicentini, E.; da Luz, M. G. E. 6 2008 Classifying the general family of 1D point interactions: a scattering approach. Zbl 1084.81032 Zanetti, F. M.; Kuhn, J.; Delben, G. J.; Cheng, B. K.; da Luz, M. G. E. 2 2006 Anomalous quantum chaotic behaviour in suspended electromechanical nanostructures. Zbl 1081.81048 Rego, Luis G. C.; Gusso, Andre; da Luz, M. G. E. 1 2005 A generalized semiclassical expression for the eigenvalues of multiple well potentials. Zbl 1047.81028 Andrade, F. M.; Cheng, Bin Kang; Beims, M. W.; da Luz, M. G. E. 5 2003 Green function approach for general quantum graphs. Zbl 1116.81315 Schmidt, Alexandre G. M.; Cheng, Bin Kang; da Luz, M. G. E. 5 2003 Lévy flight random searches in biological phenomena. Zbl 1001.92012 Viswanathan, G. M.; Bartumeus, F.; Buldyrev, Sergey V.; Catalan, J.; Fulco, U. L.; Havlin, Shlomo; da Luz, M. G. E.; Lyra, M. L.; Raposo, E. P.; Stanley, H. Eugene 9 2002 Properties of Lévy flights on an interval with absorbing boundaries. Zbl 0983.60022 Buldyrev, S. V.; Gitterman, M.; Havlin, S.; Kazakov, A. Ya.; da Luz, M. G. E.; Raposo, E. P.; Stanley, H. E.; Viswanathan, G. M. 19 2001 Lévy flights search patterns of biological organisms. Zbl 0984.92519 Viswanathan, G. M.; Afanasyev, V.; Buldyrev, S. V.; Havlin, S.; da Luz, M. G. E.; Raposo, E. P.; Stanley, H. E. 6 2001 Asymptotic Green functions: a generalized semiclassical approach for scattering by multiple barrier potentials. Zbl 1048.81059 da Luz, M. G. E.; Cheng, Bin Kang; Beims, M. W. 3 2001 Improvements in the statistical approach to random Lévy flight searches. Zbl 0978.60037 da Luz, M. G. E.; Buldyrev, S. V.; Havlin, S.; Raposo, E. P.; Stanley, H. E.; Viswanathan, G. M. 2 2001 Exact form of Green functions for segmented potentials. Zbl 1001.81508 da Luz, M. G. E.; Heller, E. J.; Cheng, Bin Kang 2 1998 Path integrals and edge corrections for torus maps. Zbl 0890.58055 Ozorio de Almeida, A. M.; da Luz, M. G. E. 1 1996 Path integral for the quantum baker’s map. Zbl 0819.58002 da Luz, M. G. E.; Ozorio de Almeida, A. M. 2 1995 On the propagators for hard-wall potentials oscillating periodically with constant velocity. Zbl 0825.70094 da Luz, M. G. E.; Cheng, Bin Kang 1 1994 Exact propagator for a two-dimensional inverse quadratic oscillator interacting with a wedge. Zbl 0753.34054 Cheng, B. K.; da Luz, M. G. E. 3 1992 all cited Publications top 5 cited Publications all top 5 Cited by 283 Authors 10 Da Luz, Marcos G. E. 9 Metzler, Ralf 8 Chechkin, Aleksei V. 7 Petrovskii, Sergei V. 5 Dybiec, Bartłomiej 5 Raposo, Ernesto P. 5 Schmidt, Alexandre G. M. 5 Viswanathan, Gandhimohan M. 4 Majumdar, Satya N. 4 Petrovskaya, Natalia B. 3 Klages, Rainer 3 Kundu, Anupam 3 Le Caër, Gérard 3 Maioli, Alan C. 3 Padash, Amin 3 Schehr, Grégory 3 Shokri, Babak 3 Valdinoci, Enrico 3 Xu, Yong 2 Allen-Perkins, Alfonso 2 Andrade, Fabiano M. 2 Andrade, Roberto Fernandes Silva 2 Bartumeus, Frederic 2 Boyer, Denis 2 Bressloff, Paul C. 2 Capała, Karol 2 Cheng, Binkang 2 Davis, Anthony B. 2 Deng, Weihua 2 Dipierro, Serena 2 Ellis, John Richard 2 Gopinathan, Ajay 2 Inoue, Kei 2 Kethepalli, Jitendra 2 Kulkarni, Manas 2 Kurths, Jürgen 2 Macêdo, Antônio M. S. 2 Méndez, Vicenç 2 Mercado-Vásquez, Gabriel 2 Mukamel, David 2 Ohya, Masanori 2 Pinsky, Ross George 2 Pitchford, Jonathan William 2 Quint, David A. 2 Sales, Matheus Rolim 2 Sandev, Trifce 2 Vicentini, E. 2 Volovich, Igor’ Vasil’evich 2 Xu, Pengbo 2 Zan, Wanrong 2 Zanetti, F. M. 2 Zhou, Tian 1 Abe, Masato S. 1 Abuabara, Sabas G. 1 Abukhaled, Marwan I. 1 Agop, Maricel 1 Aguiar e Oliveira, Hime jun. 1 Aharonov, Yakir 1 Ahmed, Driss Aiat Hadj 1 Al-Shibani, Faoziya 1 Albanese, Guglielmo 1 Almaguer, F-Javier 1 Almeida, F. A. G. 1 Alsolami, Abdulrahman Ali 1 Álvarez, Gabriel 1 Amezcua, Omar González 1 Anteneodo, Celia 1 Arda, Altuğ 1 Azado, P. C. 1 Azevedo, A. L. 1 Bailey, Joseph D. 1 Banks, Alec 1 Bao, Xiaomei 1 Batista, Antonio Marcos 1 Batista, Victor S. 1 Baxter, Paul D. 1 Behrndt, Jussi 1 Beims, Marcus W. 1 Bernardin, Cédric 1 Bhat, Uttam 1 Bickle, Laura 1 Bîrlescu, Vlad Sergiu 1 Blatt, Alan 1 Bodmann, Bernhard G. 1 Bolte, Jens 1 Brady, John F. 1 Bravo de la Parra, Rafael 1 Burridge, James 1 Burrow, J. F. 1 Cairoli, Andrea 1 Can, Van Hao 1 Cantisán, Julia 1 Cara, Elisa Regina 1 Carrero, Lisbeth 1 Casini, Emanuele 1 Castellani, Gastone C. 1 Chada, Neil K. 1 Charnov, Eric L. 1 Chen, Shengyong 1 Chen, Yangquan ...and 183 more Authors all top 5 Cited in 53 Serials 27 Journal of Physics A: Mathematical and Theoretical 12 Physica A 12 Journal of Statistical Mechanics: Theory and Experiment 8 Journal of Theoretical Biology 7 Journal of Mathematical Physics 5 Journal of Statistical Physics 4 Chaos 4 Mathematical Modelling of Natural Phenomena 3 Physics Letters. A 3 Chaos, Solitons and Fractals 2 Journal of Computational Physics 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Biology 2 Bulletin of Mathematical Biology 2 Annals of Physics 1 Computer Physics Communications 1 European Journal of Physics 1 Inverse Problems 1 Letters in Mathematical Physics 1 Physics Reports 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Applied Mathematics and Computation 1 Journal of Applied Probability 1 Journal of Differential Equations 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Theoretical Population Biology 1 Transactions of the American Mathematical Society 1 Physica D 1 Proceedings of the National Academy of Sciences of the United States of America 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Review 1 Stochastic Processes and their Applications 1 Advances in Computational Mathematics 1 Complexity 1 Bernoulli 1 Open Systems & Information Dynamics 1 Fractional Calculus & Applied Analysis 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Modern Optics 1 Natural Computing 1 Communications on Pure and Applied Analysis 1 Quantum Information Processing 1 International Journal of Computational Methods 1 International Journal of Geometric Methods in Modern Physics 1 International Journal of Quantum Information 1 Foundations of Physics 1 AStA. Advances in Statistical Analysis 1 Advances in High Energy Physics 1 Quantum Studies: Mathematics and Foundations 1 International Journal of Applied and Computational Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Journal of Computational and Theoretical Transport all top 5 Cited in 35 Fields 53 Probability theory and stochastic processes (60-XX) 46 Statistical mechanics, structure of matter (82-XX) 32 Biology and other natural sciences (92-XX) 27 Quantum theory (81-XX) 21 Partial differential equations (35-XX) 8 Statistics (62-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Combinatorics (05-XX) 6 Numerical analysis (65-XX) 6 Fluid mechanics (76-XX) 5 Optics, electromagnetic theory (78-XX) 4 Ordinary differential equations (34-XX) 4 Computer science (68-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Real functions (26-XX) 3 Integral equations (45-XX) 3 Operator theory (47-XX) 2 General and overarching topics; collections (00-XX) 2 Measure and integration (28-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 2 Geophysics (86-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year