A. Gray, M. Forets, C. Schilling, S. Ferson and L. Benet
Verified propagation of imprecise probabilities in non-linear ODEs
Int. J. Approx. Reason. 164 (2024), 109044. [doi] (open access)
L. Benet, L. Ferranti and N. Revol
A framework to test interval arithmetic libraries and their IEEE 1788-2015 compliance
Concurrency Computat. Pract. Exper. 36 (2023), e7856. [doi] [arXiv] (open access)
L. Benet, F. Borgonovi, F.M. Izrailev, and L.F. Santos
Quantum-classical correspondence of strongly chaotic many-body spin models
Phys. Rev. B 107 (2023), 155143. [doi] [arXiv]
E. Carro, L. Benet and I. Pérez Castillo
A smooth transition towards a Tracy-Widom distribution for the largest eigenvalue of interacting -body fermionic Embedded Gaussian Ensembles
J. Stat. Mech. 2023 (2023), 043201. [doi] (open access)
J.A. Pérez-Hernández and L. Benet
Non-zero Yarkovsky acceleration for near-Earth asteroid (99942) Apophis
Commun. Earth & Environment 3 (2022), Art. Num. 10. [doi] (open access)
A. Ortega, L. Benet and H. Larralde
Spectra, eigenstates and transport properties of a -symmetric ring
J. Phys A: Math. Theor., 55 (2022), 015304. [doi] [arXiv] (open access)
R.H. Mena, J.X. Velasco-Hernández, N.B. Mantilla-Beniers, G.A. Carranco-Sapiéns, L. Benet, D. Boyer, I. Pérez Castillo
Using posterior predictive distributions to analyse epidemic models: COVID-19 in Mexico City
Physical Biology, 17 (2020), 065001. [doi] [arXiv]
A. Ortega, T. Stegmann, L. Benet and H. Larralde
Spectral and transport properties of a simple -symmetric tight-binding chain with gain and loss
J. Phys. A: Math. Theor., 53 (2020), 445308. [doi] [arXiv]
J.A. Pérez-Hernández and L. Benet
On the dynamics of Comet 1P/Halley: Lyapunov and power spectra
MNRAS 487, (2019), pp 296–303. [doi] [arXiv]
R.J. León-Montiel, V. Méndez, M.A. Quiroz-Juárez, A. Ortega, L. Benet, A. Pérez-Leija, K. Busch
Two-particle quantum correlations in stochastically-coupled networks
New J. Phys., 21 (2019), 053041. [doi] [arXiv]
L. Benet and D.P. Sanders
TaylorSeries.jl: Taylor expansions in one and several variables in Julia
Journal of Open Source Software 4, (2019), 1043 (4 pages). [doi]
A. Ortega, T. Stegmann and L. Benet
Robustness of optimal transport in disordered interacting many-body networks
Phys. Rev. E 98 (2018), 012141 (8 pages). [doi] [arXiv]
L. Benet, D. Espitia and D. Sahagún
Probing two-particle exchange processes in two-mode Bose-Einstein condensates
Phys. Rev. A 95 (2017), 033624 (6 pages). [doi] [arXiv]
L. Benet and À. Jorba
A simple model for the location of Saturn's F ring
Icarus 285 (2017), 224-236 (13 pages). [doi] [arXiv]
A. Ortega, T. Stegmann and L. Benet
Efficient quantum transport in disordered interacting many-body networks
Phys. Rev. E 94 (2016), 042102 (12 pages). [doi] [arXiv]
A. Ortega, Manan Vyas and L. Benet
Quantum efficiencies in finite disordered networks connected by many-body interactions
Ann. der Phys. (Berlin) 527 (2015), 748-756 (9 pages). [doi] [arXiv]
Vinayak and L. Benet
Spectral domain of large nonsymmetric correlated Wishart matrices
Phys. Rev E. 90 (2014), 042109 (10 pages). [doi] [arXiv]
C. Hernández-Mena and L. Benet
Statistics and Universality in Simplified Models of Planetary Formation
MNRAS 412 (2011), 95–106. [doi] [arXiv]
L. Benet, S. Hernández-Quiroz and T.H. Seligman
Fidelity decay in interacting two-level boson systems: Freezing and revivals
Phys. Rev. E 83 (2011), 056216 (6 pages). [doi] [arXiv]
S. Hernández-Quiroz and L. Benet
Nearest-Neighbor Distributions and Tunneling Splittings in Interacting Many–Body Two–Level Boson Systems
Phys. Rev. E 81 (2010), 036218 (12 pages). [doi] [arXiv]
Kaleidoscope, March 2010
L. Benet and O. Merlo
Structure in narrow planetary rings: Open questions and Recent results
Rev. Mex. de Cienc. Geol. 27 (2010), 347–357. [pdf]
L. Benet, S. Hernández-Quiroz and T.H. Seligman
Fidelity decay of the two-level bosonic embedded ensembles of Random Matrices
AIP Conference Proceedings 1323 (2010), 6-15. [doi] [arXiv]
L. Benet and O. Merlo
Phase-Space Volume of Regions of Trapped Motion: Multiple Ring Components and Arcs
Cel. Mech. Dyn. Astron. 103 (2009), 209–225. [doi] [arXiv]
I. Brouzos, A.K. Karlis, C.A. Chrysanthakopoulos, F.K. Diakonos, V. Constantoudis, P. Schmelcher and L. Benet
Scattering off an oscillating target: Basic mechanisms and their impact on cross sections
Phys. Rev. E 78 (2008), 056207 (13 pages). [doi] [arXiv]
L. Benet and O. Merlo
Multiple Components in Narrow Planetary Rings
Phys. Rev. Lett. 100 (2008), 014102 (4 pages). [doi] [arXiv]
L. Benet, L.T. Chadderton, S.Yu. Kun, O.K. Vorov and Wang Qi
Slow cross-symmetry phase relaxation in complex collisions
Phys. Atom. Nuclei (Yadernaya Fizika) 71 (2008), 819–823. [doi] [arXiv]
C.H. Mena and L. Benet
Migration of a Jupiter in a protoplanetary disk
Rev. Mex. A.A. (Serie de Conferencias) 34 (2008), 119-120. [pdf]
L. Benet, M. Bienert and S. Yu. Kun
Thermalized non-equilibrated matter and high temperature superconducting state in quantum many-body systems
Radiat. Eff. Defects Solids 162 (2007), 605–612. [doi] [arXiv].
L. Benet, L.T. Chadderton, S.Yu. Kun and Wang Qi
Quantum-classical transition for an analog of double-slit experiment in complex collisions: Dynamical decoherence in quantum many-body systems
Phys. Rev. A 75 (2007), 062110 (5 pages). [doi] [arXiv]
O. Merlo and L. Benet
Strands and braids in narrow planetary rings: A scattering system approach
Cel. Mech. Dyn. Astron. 97 (2007), 49–72. [doi] [arXiv]
L. Benet, S.Yu. Kun and Wang Qi
Effect of phase relaxation on quantum superpositions in complex collisions
Phys. Rev. C 73 (2006), 064602 (7 pages). [doi] [arXiv]
L. Benet, S.Yu. Kun, Wang Qi and V. Denisov
Effect of a finite–time resolution on Schrödinger cat states in complex collisions
Phys. Lett. B 605 (2005), 101–105. [doi] [arXiv]
L. Benet, J. Broch, O. Merlo and T.H. Seligman
Symmetry breaking: A heuristic approach to chaotic scattering in many dimensions
Phys. Rev. E 71 (2005), 036225 (10 pages). [doi]
P.K. Papachristou, F.K. Diakonos, V. Constantoudis, P. Schmelcher and L. Benet
Scattering off two oscillating disks: Dilute chaos
Phys. Rev. E 70 (2004), 056215 (18 pages). [doi]
L. Benet and O. Merlo
Phase–Space Structure for Narrow Planetary Rings
Regular and Chaotic Dynamics 9 (2004), 373–383. [doi] [arXiv]
L. Benet, F. Leyvraz and T.H. Seligman
Wigner–Dyson statistics for a class of integrable models
Phys. Rev. E 68 (2003), 045201R (3 pages). [doi] [arXiv]
L. Benet, C. Jung and F. Leyvraz
Integrability of Interacting Two–Level Boson Systems
J. Phys. A: Math. Gen. 36 (2003), L217–L222. [doi]
L. Benet and H.A. Weidenmüller
Review of the -Body Embedded Ensembles of Gaussian Random Matrices
J. Phys. A: Math. Gen. 36 (2003), 3569–3593. [doi] [arXiv]
L. Benet, J. Flores, H. Hernández–Saldaña, F.M. Izrailev, F. Leyvraz and T.H. Seligman
Fluctuations of wave functions about their classical average
J. Phys. A: Math. Gen. 36 (2003), 1289–1297. [doi] [arXiv]
S.Yu. Kun, L. Benet, L.T. Chadderton, W. Greiner and F. Haas
Macroscopic quantum superpositions in highly excited strongly interacting many–body systems
Phys. Rev. C 67 (2003), 011604R (4 pages). [doi] [arXiv]
P.K. Papachristou, F.K. Diakonos, V. Constantoudis, P. Schmelcher and L. Benet
Classical scattering from oscillating targets
Phys. Lett. A 306 (2002), 116–126. [doi]
T. Asaga, L. Benet, T. Rupp and H.A. Weidenmüller
Spectral properties of the -body embedded Gaussian ensembles of random matrices for bosons
Ann. Phys. (N.Y.) 298 (2002), 229–247. [doi] [arXiv]
T. Asaga, L. Benet, T. Rupp and H.A. Weidenmüller
Non–ergodic behaviour of the -Body embedded Gaussian random ensembles for bosons
Europhys. Lett. 56 (2001), 340–346. [doi] [arXiv]
L. Benet, T. Rupp and H.A. Weidenmüller
Spectral properties of the -Body embedded Gaussian random matrices
Ann. Phys. (N.Y.), 292 (2001), 67–94. [doi] [arXiv]
L. Benet, T. Rupp and H.A. Weidenmüller
Non–universal behaviour of the -body embedded Gaussian random ensembles
Phys. Rev. Lett. 87 (2001), 010601. [doi] [arXiv]
L. Benet
Occurrence of planetary rings with shepherds
Celest. Mech. Dynam. Astron. 81 (2001), 123–128. [doi]
L. Benet, F.M. Izrailev, T.H. Seligman and A. Suárez-Moreno
Semiclassical properties of eigenfunctions and occupation number distribution for a model of two interacting particles
Phys. Lett. A 277 (2000), 87–93. [doi] [arXiv]
L. Benet and T.H. Seligman
Generic occurrence of rings in rotating scattering systems
Phys. Lett. A 273 (2000), 331–337. [doi] [arXiv]
L. Benet and T.H. Seligman
Narrow rings: A scattering billiard model
Prog. Theor. Phys. Supl. (Kyoto) 139 (2000), 234–245. [doi] [arXiv]
L. Benet, C. Jung, T. Papenbrock and T.H. Seligman
On the special role of symmetric periodic orbits in a chaotic system
Physica D 131 (1999), 254–264. [doi] [arXiv]
L. Benet and T.H. Seligman
Characterization of the incoming asymptotes in the restricted three–body problem
Nonlinear Phenomena in Complex Systems 2:1 (1999), 64–67. [pdf]
L. Benet, T.H. Seligman and D. Trautmann
Chaotic scattering in the restricted three–body problem: II. The case of small mass parameter
Celest. Mech. Dyn. Astron. 71 (1998), 167–189. [doi]
L. Benet, D. Trautmann and T.H. Seligman
Chaotic scattering in the restricted three–body problem: I. The Copenhagen problem
Celest. Mech. Dyn. Astron. 66 (1997), 203–228. [doi]
N. Meyer, L. Benet, C. Lipp, D. Trautmann, C. Jung and T.H. Seligman
Chaotic scattering off a rotating target
J. Phys. A: Math. Gen. 28 (1995), 2529–2544. [doi]
L. Benet, T.H. Seligman and H.A. Weidenmüller
Quantum signatures of classical chaos: Sensitivity of wave functions to perturbations
Phys. Rev. Lett. 71 (1993), 529–532. [doi]
M. Moshinsky, L. Benet, G. Loyola and A. Salinas
Comparison of perturbative and variational procedures in a relativistic problem
Rev. Mex. Fís. 38 (1992), 778–790. [pdf]
Diego Manzanas Lopez, Matthias Althoff, Luis Benet, Clemens Blab, Marcelo Forets, Yuhao Jia, Taylor T Johnson, Manuel Kranzl, Tobias Ladner, Lukas Linauer, Philipp Neubauer, Sophie Neubauer, Christian Schilling, Huan Zhang and Xiangru Zhong
ARCH-COMP24 Category Report: Category Report: Artificial Intelligence and Neural Network Control Systems (AINNCS) for Continuous and Hybrid Systems Plants
in "11th International Workshop on Applied Verification of Continuous and Hybrid Systems (ARCH24)", Goran Frehse and Matthias Althoff (eds.), EPiC Series in Computing vol 103 (2024), pp 64-121. [doi] [pdf]
Luca Geretti, Julien Alexandre Dit Sandretto, Matthias Althoff, Luis Benet, Pieter Collins, Marcelo Forets, Stefan Mitsch, Christian Schilling, Joris Tillet and Mark Wetzlinger
ARCH-COMP24 Category Report: Continuous and Hybrid Systems with Nonlinear Dynamics
in "11th International Workshop on Applied Verification of Continuous and Hybrid Systems (ARCH24)", Goran Frehse and Matthias Althoff (eds.), EPiC Series in Computing vol 103 (2024), pp 39-63. [doi] [pdf]
Luis Benet and Jorge A. Pérez-Hernández
Transversal Yarkovsky acceleration for Apophis through jet transport
in "Complex Planetary Systems II: Latest Methods for an Interdisciplinary Approach", A. Lemaitre and A.-S. Libert (eds.), Proceedings IAU Symposium No 382 (2024), pp. 59–65. [doi] [pdf]
Luca Geretti, Julien Alexandre Dit Sandretto, Matthias Althoff, Luis Benet, Pieter Collins, Marcelo Forets, Elena Ivanova, Yangge Li, Sayan Mitra, Stefan Mitsch, Christian Schilling, Mark Wetzlinger and Daniel Zhuang
ARCH-COMP23 Category Report: Continuous and Hybrid Systems with Nonlinear Dynamics
in "10th International Workshop on Applied Verification of Continuous and Hybrid Systems (ARCH23)", Goran Frehse and Matthias Althoff (eds.), EPiC Series in Computing vol 96 (2023), pp 61–88. [doi] [pdf]
Nathalie Revol, Luis Benet, Luca Ferranti and Sergey Zhilin
Testing interval arithmetic libraries, including their IEEE-1788 compliance
in "Parallel Processing and Applied Mathematics (PPAM 2022)", R. Wyrzykowski et al. (eds.), Lecture Notes in Computer Science vol 13827 (2023), chapter 36, pp 428-440. [doi]
Diego Manzanas Lopez, Matthias Althoff, Luis Benet, Xin Chen, Jiameng Fan, Marcelo Forets, Chao Huang, Taylor T. Johnson, Tobias Ladner, Wenchao Li, Christian Schilling and Qi Zhu
ARCH-COMP22 Category Report: Artificial Intelligence and Neural Network Control Systems (AINNCS) for Continuous and Hybrid Systems Plants
in "9th International Workshop on Applied Verification of Continuous and Hybrid Systems (ARCH22)", Goran Frehse, Matthias Althoff, Erwin Schoitsch and Jeremie Guiochet (eds.), EPiC Series in Computing vol 90 (2022), pp 142–184. [doi] [pdf]
Luca Geretti, Julien Alexandre Dit Sandretto, Matthias Althoff, Luis Benet, Pieter Collins, Parasara Sridhar Duggirala, Marcelo Forets, Edward Kim, Stefan Mitsch, Christian Schilling and Mark Wetzlinger
ARCH-COMP22 Category Report: Continuous and Hybrid Systems with Nonlinear Dynamics
in "9th International Workshop on Applied Verification of Continuous and Hybrid Systems (ARCH22)", Goran Frehse, Matthias Althoff, Erwin Schoitsch and Jeremie Guiochet (eds.), EPiC Series in Computing vol 90 (2022), pp 86–112. [doi] [pdf]
Taylor T. Johnson, Diego Manzanas Lopez, Luis Benet, Marcelo Forets, Sebastián Guadalupe, Christian Schilling, Radoslav Ivanov, Taylor J. Carpenter, James Weimer and Insup Lee
ARCH-COMP21 Category Report: Category Report: Artificial Intelligence and Neural Network Control Systems (AINNCS) for Continuous and Hybrid Systems Plants
in "8th International Workshop on Applied Verification of Continuous and Hybrid Systems (ARCH21)", Goran Frehse and Matthias Althoff (eds.), EPiC Series in Computing vol 80 (2021) pp 90-119. [doi] [pdf]
Luca Geretti, Julien Alexandre Dit Sandretto, Matthias Althoff, Luis Benet, Alexandre Chapoutot, Pieter Collins, Parasara Sridhar Duggirala, Marcelo Forets, Edward Kim, Uziel Linares, David P. Sanders, Christian Schilling and Mark Wetzlinger
ARCH-COMP21 Category Report: Continuous and Hybrid Systems with Nonlinear Dynamics
in "8th International Workshop on Applied Verification of Continuous and Hybrid Systems (ARCH21)", Goran Frehse and Matthias Althoff (eds.), EPiC Series in Computing vol 80 (2021), pp 32-54. [doi] [pdf]
J.A. Pérez-Hernández and L. Benet
The Yarkovsky effect for (99942) Apophis and observational predictions for the upcoming 2020–2021 close approach to Earth
American Astronomical Society Division on Dynamical Astronomy meeting #51, id. P13. BAAS Vol. 52, No. 4 (2020). [pdf]
L. Geretti, J. Alexandre Dit Sandretto, M. Althoff, L. Benet, A. Chapoutot, X. Chen, P. Collins, M. Forets, D. Freire, F. Immler, N. Kochdumper, D.P. Sanders and C. Schilling
ARCH-COMP20 Category Report: Continuous and Hybrid Systems with Nonlinear Dynamics
in "ARCH20. 7th International Workshop on Applied Verification of Continuous and Hybrid Systems", Goran Frehse and Matthias Althoff (eds.), EPiC Series in Computing vol 74 (2020), pp 49-75. [doi] [pdf]
F. Immler, M. Althoff, L. Benet, A. Chapoutot, X. Chen, M. Forets, L. Geretti, N. Kochdumper, D.P. Sanders, and C. Schilling
ARCH-COMP19 Category Report: Continuous and Hybrid Systems with Nonlinear Dynamics
in "ARCH19. 6th International Workshop on Applied Verification of Continuous and Hybrid Systems", Goran Frehse and Matthias Althoff (eds.), EPiC Series in Computing vol 61 (2019), pp 41-61. [doi] [pdf]
L. Benet and D.P. Sanders
Forward automatic differentiation and Taylor series
in "Memorias de la XXIII Escuela de Verano en Física", José Recamier y Rocío Jáuregui (eds), (2015) pp 51-65. [pdf]
D.P. Sanders and L. Benet
Validated numerics with Python: the ValidiPy package
in "Proceedings of the 13th Python in Science Conference (SciPy 2014)", Stèfan van der Walt and James Bergstra (eds.), (2014) pp. 69-76. [doi] [pdf]
L. Benet and À. Jorba
Numerical results on a simple model for the confinement of Saturn's F ring
in "Progress and challenges in dynamical systems", S. Ibáñez, J.S. Pérez del Río, A. Pumariño and J.Á. Rodríguez (eds.), Springer Proceedings in Mathematics and Statistics Vol. 54 (2013), pp. 65-75. ISBN 978-3-642-38829-3. [doi]
L. Benet, T. Rupp and H.A. Weidenmüller
Non–universal behaviour of the –body embedded Gaussian random ensembles
in "Spectral Distributions in Nuclei and Statistical Spectroscopy", V.K.B. Kota and Rizwan Ul Haq (eds.). World Scientific Publishing Co. (2010), pp. 609–612. ISBN 9814287385. Reprint of Benet, Rupp and Weidenmüller (2001a).
L. Benet, S. Hernández-Quiroz, S.Yu. Kun
Thermalized Non-Equilibrated Matter: Compound Processes and Beyond
Procedings of the 2nd International Conference "Current Problems in Nuclear Physics and Atomic Energy", Institute of Nuclear Research (2009), Kiev, pp. 171–174. [arXiv] [pdf]
L. Benet
Occurrence of planetary rings with shepherds
in "Dynamics of Natural and Artificial Celestial Bodies", H. Pretka–Ziomek, E. Wnuk, P.K. Seidelmann and D. Richardson (eds.). Kluwer Academic Publishers, The Netherlands (2001), pp. 123–128. ISBN 978-1-4020-0115-4. Reprint of Benet (2001).
L. Benet and T.H. Seligman
Planetary rings with shepherds
in "Hamiltonian Systems and Celestial Mechanics", J. Delgado, E. Lacomba, E. Pérez-Chavela and J. Llibre (eds.). Proceedings of the III International Symposium HAMSYS 98. World Scientific Monograph Series in Mathematics Vol. 6, Singapore (2000), pp. 20–31. ISBN 978-981-02-4463-7. [doi]
L. Benet
Irregular scattering in the circular restricted three-body problem
in "Hamiltonian Chaos: Celestial and Microcopic Mechanics", L. Wiesenfeld and J. Peinke (eds.). Contributions to "Journées grenobloises de formation en physique non-linéare", Aix-les-Bains, France (1995), 1-4.
Symmetries in Nature. Symposium in Memoriam of Marcos Moshinsky
L. Benet, P.O. Hess, J.M. Torres, and K.B. Wolf (Eds.).
AIP Conference Proceedings 1323 (2010). ISBN 978-0-7354-0877-7; ISSN 0094-243X. [pdf]
S. Byrne, L. Benet and D.P. Sanders. Some fun with in Julia. Julia Blog, 14 March 2017.
L. Benet. Caos determinista, con lápiz y papel. Periódico "La Unión de Morelos", 31 de diciembre del 2012, pp. 36-37.
L. Benet. El movimiento de los objetos celestes. Revista Hypatia, No. 30, abril–junio del 2009, pp 24-25.
L. Benet. Descubriendo anillos. Periódico "La Unión de Morelos", 2 de junio del 2008, pp. 30-31.
L. Benet. Chaotic scattering in the Restricted Three–Body Problem.
PhD Thesis, U. Basel (Switzerland), 1996. Summa Cum Laude.
L. Benet. Sobre la convergencia y estabilidad de osciladores anarmónicos en términos de osciladores armónicos.
BSc Thesis (tesis de licenciatura), Fac. Ciencias, UNAM (México), 1991. Mención honorífica.
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