Instituto de Física
"Ing. Luis Rivera Terrazas"

Dr. José Antonio Méndez Bermúdez

 Investigador      SNI II
Coordinador del Centro de Cómputo
Sistemas Complejos
CU, Edificio IF3, Oficina 208, (IF1 104)
+52 (222) 229 55 00, Ext. 2018
jose.mendez
jmendezb
http://www.ifuap.buap.mx/~jmendezb/


Últimas Publicaciones

  1. C. T. Martínez Martínez, J. A. Méndez Bermúdez. On the extremal spectral properties of random graphs, Disordered Systems and Neuronal Networks, Cornell University, Pp. 1-10, 2025.
    DOI: 10.48550/arXiv.2506.12343
  2. C. T. Martínez-Martínez, R. Aguilar-Sánchez, J. A. Méndez Bermúdez. On the distribution of topological and spectral indices on random graphs, Arxiv>math>Mathematics>Combinatorics, Cornell University, Pp. 1-32, 2025.
    DOI: 10.48550/arXiv.2505.04008
  3. Hidalgo-Castro K. B.; Razo-López L. A.; Martínez-Argüello A. M.; Méndez-Bermúdez J. A. Universal properties of Wigner delay times and resonance widths of tight-binding random graphs, Physical Review E, vol. 111, Issue 4, Pp. 1-10, APS Physical Review Journals, ISSN: 2470-0045, E-issn:2470-0053, 2025.
    DOI: 10.1103/PhysRevE.111.044312
  4. Méndez-Bermúdez J. A.; Reyes, Rosalio; Rodríguez, José M.; Sigarreta, José M. Geometric and Topological Properties of Fractal Networks, Mathematical Methods in the Applied Sciences, vol. 48, Issue 6, John Wiley and Sons Ltd, ISSN: Print: 0170-4214, 2025.
    DOI: 10.1002/mma.10877
  5. Kevin peralta-Martínez, J. A. Méndez-Bermúdez, José M. Sigarreta. Hyperbolic random geometric graphs: Structural and spectral properties, Physical Review E, vol. 111, Issue 2, APS, Phisical Review Journals, Pp. 1-10, Online: 2470-0053 - Print:2470-0045, 2025.
    DOI: 10.1103/PhysRevE.111.024309
  6. J. A. Méndez-Bermúdez and R. Aguilar-Sánchez. Dissipative fractional standard maps: Riemann–Liouville and Caputo, Chaos an interdisciplinary Journal of Nonlinear Science, vol. 35, Issue 2, ISSN: 1054-1500 Eissn:1089-7682, AIP Publishing, 2025.
    DOI: 10.1063/5.0239987
  7. A. M. Martínez-Argüello, K. B. Hidalgo Castro and J. A. Méndez-Bermúdez. Universal insulating-to-metallic crossover in tight-binding random geometric graphs, Journal of Statistical Mechanics: Theory and experiment, vol. 2025, Pp. 1-35, IOPSCIENCES, ISSN: 1742-5468, 2025.
    DOI: 10.1088/1742-5468/adaae0
  8. Martínez Martínez C.T.; Moreno Rodríguez L.A.; Méndez Bermúdez J.A.; Benisty,Henry. Stability mapping of bipartite tight-binding graphs with losses and gain:-symmetry and beyond, Chaos An Interdisciplinary Journal of Nonlinear Science, vol. 34, Issue 5, Pp. 1-13, AIP Publishing, 2024, ISSN: Online:1089-7682, Print:1054-1500.
    DOI: 10.1063/5.0199771
  9. J. A. Méndez Bermúdez; Rocío Aguilar Sánchez. Tunable subdiffusion in the Caputo fractional standard map, Communications in nonlinear science and numerical simulation, Pp. 1-17, Elsevier, 2024, ISSN: Online: 1878-7274, Print: 1007-5704.
    DOI: 10.1016/j.cnsns.2024.108075
  10. L.A. Moreno Rodríguez, J.A. Méndez Bermúdez, F.M. Izrailev. PT-symmetric tight-binding 1D chains: Coupling to the continuum and superradiance transition, Optics Communications , vol. 561, Pp. 1-7, Elsevier, 2024, ISSN: Print:0030-4018, Online:1837-0310.
    DOI: 10.1016/j.optcom.2024.130500
  11. C.T. Martínez Martínez, J. A. Méndez-Bermúdez; and José M. Sigarreta. Topological and spectral properties of random digraphs, PHYSICAL REVIEW E , vol. 109, Issue 6, Pp. 1-11, American Physical Society, 2024, ISSN: Print:2470-0045, Online:2470-0053.
    DOI: 10.1103/PhysRevE.109.064306
  12. J. A. Méndez-Bermúdez, Rosalio Reye, José M. Rodríguez, and José M. Sigarreta. CMMSE:Geometric and topological properties of fractal networks, AUTHOREA, Pp. 1-20, 2024.
    DOI: 10.22541/au.172497643.35399624/v1
  13. Méndez Bermúdez J. A.; Aguilar Sánchez R. Tunable subdiffusion in the Caputo fractional standard map, Communications in Nonlinear Science and Numerical Simulation , vol. 135, Pp. 1-7, Elsevier, 2024, ISSN: 1007-5704.
    DOI: 10.1016/j.cnsns.2024.108075
  14. J. A. Méndez Bermúdez, R. Aguilar Sánchez. Dissipative fractional standard maps: Riemann-Liouville and Caputo, Nonlinear Sciences Chaotic Dynamics ,Pp. 1-8, Cornell University, 2024.
    DOI: 10.48550/arXiv.2408.04861
  15. A. M. Martínez-Argüello, K. B. Hidalgo-Castro, and J. A. Mendez-Bermudez. Universal insulating–to–metallic crossover in tight-binding random geometric graphs, arxiv cond-mat , vol. Preimpresión, Pp. 1-13, Disordered Systems and Neural Networks, 2023, ISSN: On line 2331-8422.
    DOI: 10.48550/arXiv.2310.03936
  16. J. A. Mendez-Bermudez, Rosalio Reyes, José M. Sigarreta, María Villeta. On the variable inverse sum deg index: theory and applications, Journal of Mathematical Chemistry , Vol. 61, Issue 10, Pp. 1-20, Springer, 2023, ISSN: Electronic: 1572-8897, Print: 0259-9791.
    DOI: 10.1007/s10910-023-01529-w
  17. C. T. Martínez-Martínez, J. A. Méndez-Bermúdez, and José M. Sigarreta. Topological and spectral properties of random digraphs, Condensed Matter Didordered Systems and Neural Networks , vol. Preimpresión, Pp. 1-10, Arxiv, 2023.
    DOI: 10.48550/arXiv.2311.07854
  18. R. Aguilar-Sánchez, J. A. Méndez-Bermúdez, José M. Rodríguez and José M. Sigarreta. Multiplicative topological indices: Analytical properties and application to random networks, nature , Pre-impresión, Pp. 1-19, Springer, 2023, ISSN: 1476-4687 (online) 0028-0836 (print)
    DOI: 10.48550/arXiv.2306.02511
  19. Méndez-Bermúdez J.A., Peralta-Martinez, Kevin; Sigarreta, José M.; Leonel, Edson D. Leaking from the phase space of the Riemann–Liouville fractional standard map, Chaos, Solitons and Fractals , vol. 172, Pp. 1-7, Elsevier, 2023, ISSN: 0960-0779
    DOI: 10.1016/j.chaos.2023.113532
  20. Felix M. Izrailev, German A. Luna-Acosta, J. A. Mendez-Bermudez. Scarring in Rough Rectangular Billiards, Entropy , vol. 25, (2), Pp. 189, MPDI, 2023, ISSN: 1099-4300.
    DOI: 10.3390/e25020189
  21. Martínez-Argüello A. M.; Carrera-Núñez M.; Méndez-Bermudez J.A. Scattering and transport properties of the three classical Wigner-Dyson ensembles at the Anderson transition, PHYSICAL REVIEW E , vol. 107, Issue 2, Pp. 1-14, American Physical Society, 2023, ISSN: 2470-0045.
    DOI: 10.1103/PhysRevE.107.024139
  22. José Antonio Méndez-Bermedez, Kevin Peralta-Martínez, José M. Sigarreta, Edson Leonel. Leaking from the Phase Space of the Riemann-Liouville Fractional Standard Map. SSRN (Social Science Research Network), Pp. 1-18, Elsevier, 2023, ISSN: 1556-5068 (on line).
    DOI: 10.2139/ssrn.4373973
  23. Herrera-González I.F.; Méndez-Bermúdez J.A. Localization properties of harmonic chains with correlated mass and spring disorder: Analytical approach, PHYSICAL REVIEW E , vol. 107. Issue 3, Pp. 1-9, ELSEVIER, 2023, ISSN: 2470-0045, E- 2470-0053
    DOI: 10.1103/PhysRevE.107.034108
  24. V. R. Kulli , J. A. Mendez-Bermúdez, Jose M. Rodríguez & Jose M. Sigarreta. Revan Sombor indices: Analytical and statistical study, Mathematical biosciences and engineering: MBE, vol. 20(2), 2022, Pp. 1801-1819, American Institute of Mathematical ciences, ISSN: 1547-1063 e ISSN:1551-0018.
    DOI: 10.3934/mbe.2023082
  25. Luis Humberto Robledo-Taboada, Javier Francisco Jiménez-Jarquín, Fernando Chiñas-Castillo, Antonio Méndez-Blas, Santiago Camacho-López, Laura Elvira Serrano-de la Rosa, Magdaleno Caballero-Caballero, Rafael Alavez-Ramirez, Martha Hilaria Bartolo-Alemán, E. Tribological performance of porous silicon hydrophobic and hydrophilic surfaces, Journal of Materials Research and Technology, vol. 19, Pp. 3942-3953, Elsevier, 2022, ISSN: ISSN: 2238-7854
    DOI: 10.1016/j.jmrt.2022.06.094
  26. Razo-Lopez, LA; Mendez-Bermudez, JA & Gopar, VA. Time delay in 1D disordered media with high transmission, Europan Physical Journal B, vol. 95(11), Pp. 1-8, Springer, 2022, ISSN: ISSN: 1434-6028 e ISSN: 1434-6036.
    DOI: 10.1140/epjb/s10051-022-00448-0
  27. Carballosa Walter; Granados Ana; Méndez Bermúdez J.A.; Pestana Domingo & Portilla Ana. Computational properties of the arithmetic–geometric index, Journal of Mathematical Chemistry, vol. 60, Pp. 1854-1871, Springer International Publishing, 2022, ISSN: 0259-9791 (print) 1572-8897 (online).
    DOI: 10.1007/s10910-022-01390-3
  28. Méndez-Bermúdez J.A; Rodríguez, José M;Sánchez, José L & Sigarreta, José M. Analytical and computational properties of the variable symmetric division deg index, Mathematical Biosciences and Engineering, vol. 19, Pp. 8908-8922, AIMS press, 2022, ISSN: ISSN:1547-1063 eISSN:1551-0018
    DOI: 10.3934/mbe.2022413
  29. Méndez-Bermúdez, J.A.,  Aguilar-Sánchez, R., Molina, E.D., Rodríguez, J.M. Mean Sombor index, Discrete Mathematics Letters, v. 9, P. 18-25, SPD, ISSN:E-ISSN:2664-2557, 2022.
    DOI: 10.47443/dml.2021.s204
  30. Castañeda-Ramírez, A.M., Martínez-Argüello, T. Hofmann, A. Rehemanjiang, M. Martínez-Mares, J. A. Méndez-Bermúdez, Ulrich Kuhl, H-J Stöckmann. Microwave graph analogs for the voltage drop in three-terminal devices with orthogonal, unitary, and symplectic symmetry, PHYSICAL REVIEW E, Volumen 105 Número 1, pag. 014202, American Physical Society, 2022/1/4.
    DOI: 10.1103/PhysRevE.105.014202
  31. C. T. Martínez-Martínez, J.A. Méndez-Bermúdez, Francisco A. Rodríguez, Ernesto Estrada. Nonuniform random graphs on the plane: A scaling study, PHYSICAL REVIEW E, Volumen 105 Número 3, Pag. 034304 American Physical Society, 2022/3/15.
    DOI: 10.1103/PhysRevE.105.034304
  32. Didier A. Vega-Oliveros, J. A. Méndez-Bermúdez, and Francisco A. Rodrígues. Multifractality in random networks with power-law decaying bond strengths, Phys. Rev. E 99, 4, 042303, 1-7, 10 April 2019.
    DOI: 10.1103/PhysRevE.99.042303
  33. I.F. Herrera-González, J.A. Méndez-Bermúdez, F.M. Izrailev. Complex energies of open one-dimensional disordered wires, Physica E: Low-dimensional Systems and Nanostructures 110, 59–67, June 2019.
    DOI: 10.1016/j.physe.2019.02.015
  34. C. T. Martínez-Martínez and J. A. Méndez-Bermúdez. Information Entropy of Tight-Binding Random Networks with Losses and Gain: Scaling and Universality, Entropy 21, 1, 86, 1-11, 18 January 2019.
    DOI: 10.3390/e21010086
  35. Diogo R. da Costa, J. A. Méndez-Bermúdez, and Edson D. Leonel. Scaling and self-similarity for the dynamics of a particle confined to an asymmetric time-dependent potential well, Phys. Rev. E 99, 1, 012202-8, 2 January 2019.
    DOI: 10.1103/PhysRevE.99.012202
  36. J.A. Méndez-Bermúdez, Juliano A. de Oliveira, and Edson D. Leonel, Analytical description of critical dynamics for two-dimensional dissipative nonlinear maps, Physics Letters A, 380 (22) 1959–1963 (2016).
    DOI: 10.1016/j.physleta.2016.04.005
  37. J. A. Méndez-Bermúdez, A. J. Martínez-Mendoza, V. A. Gopar, and I. Varga, Lloyd-model generalization: Conductance fluctuations in one-dimensional disordered systems, Physical Review E, 93 012135 (2016).
    DOI: 10.1103/PhysRevE.93.012135
  38. G. A. Luna-Acosta, A. A. Fernández-Marín, J. A. Méndez-Bermúdez, and Charles Poli, Cross section versus time delay and trapping probability, Physics Letters A, 380 (33) 2494–2500 (2016).
    DOI: 10.1016/j.physleta.2016.06.001
  39. G.A. Luna-Acosta, A.A. Fernández-Marín, J.A. Méndez-Bermúdez, Charles Poli, Cross section versus time delay and trapping probability, Physics Letters A, 380 No. 33 2494-2500 (2016).
    DOI: 10.1016/j.physicla.2016.06.001
  40. J.A. Méndez-Bermúdez, Juliano a. de Oliveira, Edson D. Leonel, Analytical description of critical dynamics for two-dimensional dissipative nonlinear maps, Physics Letters A, 380 1959-1963 (2016).
    DOI: 101.1016/j.physleta.2016.04.005
  41. J.A. Méndez-Bermúdez, A. Alcázar-López, A.J. Martínez-Mendoza, Francisco A. Rodríguez, Thomas K. DM. Peron, Universality in the spectral and eigenfunction properties of random networks, Physical Review E, 91 No. 3, 032122 (2015).
    DOI: 10.1103/PhysRevE.91.032122
  42. J.A. Méndez-Bermúdez, and C. González-Zacarías, Localization properties of eigenstates in waveguides and cavities with corrugated boundaries, Waves in Random and Complex Media, 436 No. 1, 109-129 (2015).
    DOI: 10.1080/17455030.2014.971919
  43. J.A. Méndez-Bermúdez, Juliano A. de Oliveira, R. Aguilar-Sánchez, Edson D. Leonel, Scaling properties for a family of discontinuous mappings, Physica A: Statistical Mechanics and its Applications, 436 943-951 (2015).
    DOI: 10.1016/j.physa.2015.05.035
  44. J.A. Méndez-Bermúdez, A.J. Martínez-Mendoza, André L. P. Livorati and Edson D. Leonel, Leaking of trajectories from the phase space of discontinuos dynamics, Journal of Mathematical and Theoretical, 48 405101 (2015).
    DOI: 10.1088/1751-8113/48/405101
  45. J.A. Méndez-Bermúdez, Juliano A. de Oliveira, and Edson D. Leonel, Two-dimensional nonlinear map characterized by tunable Lévy flights, Physical Review E, 90 042138 (2014).
    DOI: 10.1103/PhysRevE.90.042138
  46. J.A. Méndez-Bermúdez, A. Alcazar-López and Imre Varga, On the generalized dimensions of multifractal eigenstates, Journal of Statistical Mechanics: Theory and Experiment, 14 pp. 110112-11033 (2014).
    DOI: 10.1088/1742-5468/2014/11/P11012
  47. A.A. Fernández-Marín, J.A. Méndez-Bermúdez, J. Carbonelli, f. Cervera, J. Sánchez-Dehesa, and V.A. Gopar, Beyond Anderson localization in 1D: Anomalous localization of microwaves in random waveguides, Physical Review Letters, 113 No. 23, 233901 (5) (2014).
    DOI: 10.1103/PhysRevlett.113.233901
  48. J. Doppler, J. A. Méndez-Bermúdez, J. Feist, O. Dietz, D. O. Krimer, N. M. Makarov, F. M. Izrailev, S. Rotter, Reflection resonances in surface-disordered waveguides: strong higher-order effects of the disorder, New Journal of Physics, 16 053026 (2014).
    DOI: 10.1088/1367-2630/16/5/053026
  49. I.F. Herrera-González, J.A. Méndez-Bermúdez, and F. M. Izrailev, Transport through quasi-one-dimensional wires with correlated disorder, Physical Review E, 90 042115 (2014).
    DOI: 10.1103/PhysRevE.90.042115
  50. R. Aguilar-Sánchez, Edson D. Leonel, and J.A. Méndez-Bermúdez, Dynamical properties of a dissipative discontinuos map: A scaling investigation, Physics Letters A, 377 (44) 3216-3222 (2013).
    DOI: 10.1016/j.physleta.2013.10.006
  51. A. Alcázar-López, and J.A. Méndez-Bermúdez, Disorder-to-chaos transition in the conductance distribution of corrugated waveguides, Physical Review E, 87 032904 (2013).
    DOI: 10.1103/PhysRevE.87.032904
  52. A.J. Martínez-Mendoza, A. Alcázar-López, and J.A. Méndez-Bermúdez, Scattering and transport properties of tight-binding random networks, Physical Review E, 88 012126 (2013).
    DOI: 10.1103/PhysRevE.88.012126
  53. J.J. Cruz-Bueno, J.A. Méndez-Bermúdez and J. Arriaga, Spectral properties of a two dimensional photonic crystal with quasi-integrable geometry, Journal of Physics: Conference Series, 475 Issue 1 012003 (2013).
    DOI: 10.1088/1742-6596/475/1/012009
  54. A. Alcázar-López, J.A. Méndez-Bermúdez and G.A. Luna-Acosta, An efficient method to compute the scattering properties of long periodic waveguides, Journal of Physics: Conference Series, 475 Issue 1 012001 (2013).
    DOI: 10.1088/1742-6596/475/1/012001
  55. J. Hernández-Sánchez, S. Moretti, R. Noriega-Papaqui, A. Rosado, Off-diagonal terms in Yukawa textures of the Type-III 2-Higgs doublet model and light charged Higgs boson phenomenology, Journal of High Energy Physics, 44 Issue 1 012001 (2013).
    DOI: 10.1007/JHEP07(2013)44
  56. A.J. Martínez-Mendoza, J.A. Méndez-Bermúdez, G.A. Luna-Acosta, and N. Atenco-Analco, Dynamics of particles in corrugated waveguides classical description, Revista Mexicana de Física S, 58 (1) 6-12 (2012).
    DOI:
  57. A. Alcázar-López, J.A. Méndez-Bermúdez and G.A. Luna-Acosta, Unidirectional two-dimensional periodic waveguides, Revista Mexicana de Física S, 58 (1) 1-5 (2012).
    DOI:
  58. J. A. Méndez Bermúdez, A.J Martínez Mendoza, Fermin Serrano, Study of scattering and transport statistics of the power-law banded random matrix model, Proceedings of the Joint GISELA-CHAIN Conference, México, 27-29 de junio (2012).
    DOI:
  59. A.A. Fernández-Marín, J. A. Méndez-Bermúdez, and Victor. A. Gopar, Photonic heterostructures with Lévy-type disorder: Statistics of coherent transmission, Physical Review A, 85 Issue 3, 035803 (2012).
    DOI:
  60. J.A. Méndez-Bermúdez, A. Alcázar-López and Imre Varga, Multifractal dimensions for critical random matrix ensembles, Europhysics Letters (EPL), 98 Issue 3, 37006 (2012).
    DOI:
  61. J.A. Méndez-Bermúdez and R. Aguilar-Sánchez, Scaling properties of discontinuous maps, Physical Review E, 85 Issue (5), 056212-056216 (2012).
    DOI:
  62. Rocío Aguilar-Sánchez, Rodrigo J. Díaz-Caballeros, J. Antonio Méndez-Bermúdez, J. Luis Gárate-Morales, Guadalupe Domínguez-Meneses, Electrochemical studies of nafion-trimethylsilyl and nafion-trimethylsilyl/Ru complex-modified electrodes, Journal of Solid State Electrochemistry, 16 (2012).
    DOI:
  63. J.A. Méndez-Bermúdez, A. Alcázar-López, and Imre Varga, Multifractal dimensions for critical random matrix ensembles, Europhysics Letters (EPL), 98 37006 (2012).
    DOI: 10.1209/0295-5075/98/37006
  64. Rocío Aguilar-Sánchez, Rodrigo J. Díaz-Caballeros, José A. Méndez-Bermúdez, J. Luis Gárate-Morales, and Guadalupe Domínguez-Meneses, Electrochemical studies of nafion-trimethylsilyl and nafion-trimethylsilyl/Ru complex-modified electrodes, Journal of Solid State Electrochemistry, 16 2867 (2012).
    DOI: 10.1007/s10008-012-1717-4
  65. J.A. Méndez-Bermúdez, and R. Aguilar-Sánchez, Scaling properties of discontinuous maps, Physical Review E, 85 056212 (2012).
    DOI: 10.1103/PhysRevE.85.056212
  66. A. A. Fernández-Marín, J.A. Méndez-Bermúdez, and Víctor. A. Gopar, Photonic heterostructures with Lévy-type disorder: Statistics of coherent transmission, Physical Review A, 85 035803 (2012).
    DOI: 10.1103/PhysRevA.85.035803
  67. A. Alcázar-López, J.A. Méndez-Bermúdez and G.A. Luna-Acosta, Unidirectional two-dimensional periodic waveguides, Revista Mexicana de Física S, 58(1) 1-5 (2012).
    DOI:
  68. A.J. Martínez-Mendoza, J.A. Méndez-Bermúdez, G.A. Luna-Acosta, and N. Atenco-Analco, Dynamics of particles in corrugated waveguides classical description, Revista Mexicana de Física S, 58(1) 6-12 (2012).
    DOI: