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Jose Antonio Mendez-Bermudez |
Publications:
Preprints
01. Photonic structures with disorder immunity. [ arXiv ]
E. Sadurni and J. A. Mendez-Bermudez.
Submitted
04. Tunable subdiffusion in the Caputo fractional
standard map. [ arXiv ]
J. A. Mendez-Bermudez and R. Aguilar-Sanchez.
03. Revan-degree indices on random graphs. [ arXiv ]
R. Aguilar-Sanchez, I. F. Herrera-Gonzalez, J. A. Mendez-Bermudez, and J. M.
Sigarreta.
02. Topological and spectral properties of random
digraphs. [ arXiv ]
C. T. Martinez-Martinez, J. A.
Mendez-Bermudez, and J. M. Sigarreta.
01. Universal insulating–to–metallic crossover in
tight-binding random geometric graphs.
[ arXiv ]
A. M.
Martinez-Argüello, K. B.
Hidalgo-Castro, and J. A. Mendez-Bermudez.
In press
01. Stability mapping of bipartite tight-binding
graphs with losses and gain: PT–symmetry and beyond. [ arXiv ]
C. T. Martinez-Martinez, L. A.
Moreno-Rodriguez, J. A.
Mendez-Bermudez, and H.
Benisty.
Chaos
(2024).
2024
121. PT–symmetric tight-binding 1D chains: Coupling to
the continuum and superradiance transition. [ OC ]
L. A. Moreno-Rodriguez, J. A. Mendez-Bermudez, and F. M. Izrailev.
Opt.
Comm. 561,
130500 (2024).
120. Scaling properties of the action in the
Riemann-Liouville fractional standard map.
[ arXiv ] [ PRE ]
J. A. Mendez-Bermudez, R. Aguilar-Sanchez, J. M.
Sigarreta, and E. D. Leonel.
Phys.
Rev. E 109,
034214 (2024).
119. On the variable inverse sum deg index: theory and
applications. [ JMC ]
J. A. Mendez-Bermudez,
R. Reyes, J. M. Sigarreta-Almira,
and M.Villeta.
J.
Math. Chem. 62,
250 (2024).
118. Multiplicative topological indices: Analytical
properties and application to random networks. [ arXiv ] [ AIMS ]
R. Aguilar-Sanchez, J. A.
Mendez-Bermudez, J. M. Rodriguez, and J. M. Sigarreta.
AIMS
Mathematics 9,
3646 (2024).
2023
117. Leaking from the phase space of the
Riemann-Liouville fractional standard map.
[ arXiv ] [ CSF ]
J. A. Mendez-Bermudez, K. Peralta-Martinez, J. M.
Sigarreta, and E. D. Leonel.
Chaos
Soliton Fract. 172,
113532 (2023).
116. Localization properties of harmonic chains with
correlated mass and spring disorder: Analytical approach. [ arXiv ] [ PRE ]
I. F. Herrera-Gonzalez
and J. A. Mendez-Bermudez.
Phys.
Rev. E 107,
034108 (2023).
115. Scattering and transport properties of the three
classical Wigner-Dyson ensembles at the Anderson transition. [ arXiv ] [ PRE ]
A. M.
Martinez-Argüello, M. Carrera-Nuñez, and J.
A. Mendez-Bermudez.
Phys.
Rev. E 107,
024139 (2023).
114. Scarring in rough
rectangular billiards. [ Entropy ]
F. M. Izrailev, G. A. Luna-Acosta, and J. A. Mendez-Bermudez.
Entropy
25, 189 (2023).
113. Directed random geometric graphs: structural and
spectral properties. [ JPC ]
K. Peralta-Martinez and J. A.
Mendez-Bermudez.
J.
Phys. Complex. 4,
015002 (2023).
112. Revan Sombor indices: Analytical and statistical
study. [ MBE ]
V. R. Kulli, J. A.
Mendez-Bermudez, J. M. Rodriguez, and J. M. Sigarreta.
Math.
Biosciences Eng. 20,
1801 (2023).
2022
111. Time delay in 1D disordered media with high transmission. [ arXiv ] [ EPJB ]
L. A. Razo-Lopez, J. A.
Mendez-Bermudez, and V. A. Gopar.
Eur.
Phys. J. B 95, 188 (2022).
110. Computational properties of the
arithmetic–geometric index. [ JMC ]
W. Carballosa, A. Granados, J. A.
Mendez-Bermudez, D. Pestana, and A. Portilla.
J.
Math. Chem. 60,
1854 (2022).
109. Analytical and computational properties of the
variable symmetric division deg index.
[ MBE ]
J. A. Mendez-Bermudez,
J. M. Rodriguez, J. L. Sanchez, and J. M. Sigarreta.
Math.
Biosciences Eng. 19,
8908 (2022).
108. Nonuniform random graphs on the plane: A scaling
study. [ arXiv ] [ PRE ]
C. T. Martinez-Martinez, J. A.
Mendez-Bermudez, F. A.
Rodrigues, and E. Estrada.
Phys.
Rev. E 105,
034304 (2022).
107. Microwave graph analogs for the voltage drop in
three-terminal devices with orthogonal, unitary, and symplectic symmetry. [ arXiv ] [ PRE ]
F. Castañeda-Ramirez, A. M. Martinez-Argüello, T.
Hofmann, A. Rehemanjiang, M. Martinez-Mares, J. A. Mendez-Bermudez, U. Kuhl,
and H.-J. Stöckmann.
Phys.
Rev. E 105,
014202 (2022).
106. Mean Sombor index. [ arXiv ] [ DML ]
J. A. Mendez-Bermudez, R. Aguilar-Sanchez, E. D.
Molina, and J. M. Rodriguez.
Discrete Math. Lett. 9, 18 (2022).
105.
Stolarsky–Puebla index. [ arXiv ] [ DML ]
J. A. Mendez-Bermudez, R. Aguilar-Sanchez, R. Abreu-Blaya, and J. M. Sigarreta.
Discrete Math. Lett. 9, 10 (2022).
2021
104. Structural and spectral properties of generative
models for synthetic multilayer air transportation networks. [ PLoS ]
M. Fügenschuh, R. Gera, J. A.
Mendez-Bermudez, and A. Tagarelli.
PLoS ONE 16, e0258666
(2021).
103. Statistical properties of mutualistic–competitive
random networks. [ arXiv ] [ CSF ]
C. T. Martinez-Martinez, J. A.
Mendez-Bermudez, T. Peron, and Y. Moreno.
Chaos
Soliton Fract. 153,
111504
(2021).
102. Normalized Sombor indices as complexity measures
of random networks. [ arXiv ] [ ENTROPY ]
R. Aguilar-Sanchez, J. A.
Mendez-Bermudez, J. M. Rodriguez, and J. M. Sigarreta.
Entropy
23, 976 (2021).
101. Boundary value problems for the Lamé–Navier
system in fractal domains. [ AIMS ]
R. Abreu-Blaya, J. A.
Mendez-Bermudez, A.
Moreno-Garcia, and J. M. Sigarreta.
AIMS
Mathematics 6,
10449 (2021).
100. Analytical and statistical studies of
Rodriguez–Velazquez indices. [ JMC ]
R. Aguilar-Sanchez, J. A. Mendez-Bermudez,
J. M. Rodriguez, and J. M. Sigarreta-Almira.
J.
Math. Chem. 59,
1246 (2021).
99. Disorder-enhanced and disorder–independent
transport with long–range hopping: Application to molecular chains in optical cavities. [ arXiv ] [ PRL ] [ Physics ]
N. C. Chavez,
F. Mattiotti, J. A. Mendez-Bermudez, F.
Borgonovi, and L. Celardo.
Phys.
Rev. Lett. 126,
153201 (2021).
98. Multifractal dimensions and statistical properties
of critical ensembles characterized by the three classical Wigner–Dyson
symmetry classes. [ arXiv ] [ PA ]
M. Carrera-Nuñez, A. M.
Martinez-Argüello, and J. A.
Mendez-Bermudez.
Physica
A 573,
125965 (2021).
97. Computational and analytical studies of the
harmonic index in Erdös–Rényi models.
[ MATCH ]
C. T.
Martinez-Martinez, J. A. Mendez-Bermudez, J. M. Rodriguez, and J. M. Sigarreta.
MATCH Commun. Math.
Comput. Chem. 85, 395 (2021).
96. Leaking of orbits from the phase space of the
dissipative discontinuous standard mapping. [ PRE ]
J. A. de Oliveira, R. M. Perre, J. A. Mendez-Bermudez, and E. D.
Leonel.
Phys.
Rev. E 103,
012211 (2021).
2020
95. Spacing ratio characterization of the spectra of
directed random networks. [ arXiv ] [ PRE ]
T. Peron, B. M.
F. de Resende, F.
A. Rodrigues, L. da F. Costa, and J. A. Mendez-Bermudez.
Phys.
Rev. E 102,
062305 (2020).
94. Delay time of waves performing Lévy walks in
random media. [ arXiv ] [ SR ]
L. A. Razo-Lopez, A. A.
Fernandez-Marin, J. A. Mendez-Bermudez, J. Sanchez-Dehesa, and V. A. Gopar.
Sci. Rep. 10, 20816 (2020).
93. Universality of eigenvector delocalization and the
nature of the SIS phase transition in multiplex networks. [ arXiv ] [ JSM ]
G. Ferraz-de-Arruda, J. A. Mendez-Bermudez, F.
A. Rodrigues, and Y. Moreno.
J. Stat. Mech. 103405 (2020).
92. Topological versus spectral properties of random
geometric graphs. [ arXiv ] [ PRE ]
R. Aguilar-Sanchez, J. A.
Mendez-Bermudez, F. A. Rodrigues, and J. M. Sigarreta-Almira.
Phys.
Rev. E 102,
042306 (2020).
91. Computational properties of general indices on
random networks. [ SYMMETRY ]
R. Aguilar-Sanchez, I. F. Herrera-Gonzalez, J. A.
Mendez-Bermudez, and J. M. Sigarreta.
Symmetry 12, 1341 (2020).
90. Tilted–hat mushroom billiards: web–like
hierarchical mixed phase space. [ CNSNS ]
D. R. daCosta, M. S. Palmero, J. A.
Mendez-Bermudez, K. C. Iarosz, J. D. Szezech Jr., and A. M. Batista.
Commun. Nonlinear Sci.
Numer. Simulat. 91, 105440 (2020).
89. Application of bipartite networks to the study of
water quality. [ SUS ]
J. J. Pineda-Pineda, C. T.
Martinez-Martinez, J. A. Mendez-Bermudez, J. Muñoz-Rojas, and J. M. Sigarreta.
Sustainability
12, 5143 (2020).
88. PT–symmetric tight–binding model with asymmetric
couplings. [ arXiv ] [ PLA ]
L. A. Moreno-Rodriguez, F. M.
Izrailev, and J. A. Mendez-Bermudez.
Phys.
Lett. A 384,
126495 (2020).
87. Controlling the size scaling of the thermal
conductivity in harmonic chains with correlated mass disorder. [ arXiv ] [ PLA ]
I. F. Herrera-Gonzalez and J. A. Mendez-Bermudez.
Phys.
Lett. A 384,
126380 (2020).
86. Normal mode analysis of spectra of random networks. [ arXiv ] [ PA ]
G. Torres-Vargas, R. Fossion, and J.
A. Mendez-Bermudez.
Physica
A 545,
123298 (2020).
85. Computational and analytical studies of the Randic
index in Erdös–Rényi models. [ arXiv ] [ AMC ]
C. T.
Martinez-Martinez, J. A. Mendez-Bermudez, J. M. Rodriguez, and J. M. Sigarreta-Almira.
Appl.
Math. Comput. 377,
125137 (2020).
84. On the dynamics of two–dimensional
dissipative discontinuous maps. [ CSF ]
R. M. Perre, B. P. Carneiro, J. A. Mendez-Bermudez, E. D.
Leonel, and J. A. deOliveira.
Chaos
Soliton Fract. 131,
109520 (2020).
2019
83. Spectral and localization properties of random
bipartite graphs. [ arXiv ] [ CSF ]
C. T. Martinez-Martinez, J. A.
Mendez-Bermudez, Y. Moreno, J. J. Pineda-Pineda, and J. M. Sigarreta.
Chaos
Soliton Fract. X 3,
100021 (2019).
82. Geometrical and spectral study of beta–skeleton
graphs. [ arXiv ] [ PRE ]
L. Alonso, J. A. Mendez-Bermudez,
and E. Estrada.
Phys.
Rev. E 100,
062309 (2019).
81. Heat conduction in harmonic chains with Lévy–type
disorder. [ arXiv ] [ PRE ]
I. F. Herrera-Gonzalez and J. A. Mendez-Bermudez.
Phys.
Rev. E 100,
052109 (2019).
80. On fractional Liénard–type systems. [ RMF ]
A. Fleitas, J. A. Mendez-Bermudez,
J. E. Napoles-Valdes, and J. M. Sigarreta-Almira.
Rev.
Mex. Fis. 65,
618 (2019).
79. Level repulsion and dynamics in the finite
one–dimensional Anderson model. [ arXiv ] [ PRE ]
E. J. Torres-Herrera, J. A.
Mendez-Bermudez, and L. F. Santos.
Phys.
Rev. E 100,
022142 (2019).
78. Statistical description of multiple collisions in
the Fermi–Ulam model. [ PLA ]
D. R. daCosta, M. R. Silva, E. D.
Leonel, and J. A. Mendez-Bermudez.
Phys.
Lett. A 383,
3080 (2019).
77. Real and imaginary energy gaps: A comparison
between single excitation superradiance and superconductivity and robustness to
disorder. [ arXiv ] [ EPJB ]
N. C. Chavez, F. Mattiotti, J. A.
Mendez-Bermudez, F. Borgonovi, and G. L. Celardo.
Eur.
Phys. J. B 92,
144 (2019).
76. Phenomenological approach to transport in
three–terminal disordered wires. [ arXiv ] [ PRE ]
A. M. Martinez-Argüello, J. A.
Mendez-Bermudez, and M. Martinez-Mares.
Phys.
Rev. E 99,
062202 (2019).
75. An investigation of the parameter space for a
family of dissipative mappings. [ CHAOS ]
J. A. deOliveira, L. T.
Montero, D. R. daCosta, J. A. Mendez-Bermudez, R. O. Medrano-T, and E. D.
Leonel.
Chaos
29, 053114 (2019).
74. Multifractality in random networks with power–law
decaying bond strengths. [ arXiv ] [ PRE ]
D. A. Vega-Oliveros, J. A. Mendez-Bermudez, and F. A. Rodrigues.
Phys.
Rev. E 99,
042303 (2019).
73. Complex energies of open one–dimensional
disordered wires. [ arXiv ] [ PE ]
I. F. Herrera-Gonzalez, J. A.
Mendez-Bermudez, and F. M. Izrailev.
Physica
E 110,
59 (2019).
72. Information entropy
of tight–binding random networks with losses and gain: Scaling and universality. [ ENTROPY ]
C. T. Martinez-Martinez and J. A.
Mendez-Bermudez.
Entropy
21, 86 (2019).
71. Scaling and self–similarity for the dynamics of a
particle confined to an asymmetric time–dependent potential well. [ PRE ]
D. R. daCosta, J. A.
Mendez-Bermudez, and E. D. Leonel.
Phys.
Rev. E 99,
012202
(2019).
2018
70. Weighted random–geometric and
random–rectangular graphs: Spectral and eigenfunction properties of the
adjacency matrix. [ arXiv ] [ JCN ]
L. Alonso, J. A. Mendez-Bermudez, A. Gonzalez-Melendrez, and
Y. Moreno.
J. Complex Networks 6, 753 (2018).
69. Harmonic index and harmonic
polynomial on graph operations. [ SYMMETRY ]
J. C. Hernandez-Gomez,
J. A. Mendez-Bermudez, J. M. Rodriguez, and J. M. Sigarreta.
Symmetry 10,
456 (2018).
68. Hyperbolicity on
graph operators. [ SYMMETRY ]
J. A. Mendez-Bermudez,
R. Reyes, J. M. Rodriguez, and J. M. Sigarreta.
Symmetry 10,
360 (2018).
67. Transport studies in
three–terminal microwave graphs with orthogonal, unitary, and symplectic
symmetry. [ arXiv ] [ PRB ]
A. M. Martinez-Argüello, A.
Rehemanjiang, M. Martinez-Mares, J. A. Mendez-Bermudez, H.-J. Stöckmann, and U.
Kuhl.
Phys. Rev. B 98,
075311
(2018).
66. Crossover in nonstandard
random–matrix spectral fuctuations without unfolding. [ PRE ]
G. Torres-Vargas, J. A.
Mendez-Bermudez, J. C. Lopez-Vieyra, and R. Fossion.
Phys. Rev. E 98,
022110 (2018).
65. Transmission though
surface–corrugated unidirectional waveguides. [ CHAOS ]
J. A. Mendez-Bermudez and A.
Alcazar-Lopez.
Chaos 28,
053120 (2018).
64. Information-length scaling in a
generalized one–dimensional Lloyd's model.
[ ENTROPY ]
J. A. Mendez-Bermudez and R.
Aguilar-Sanchez.
Entropy 20,
300 (2018).
63. Identifying network
structure similarity using spectral graph theory. [ ANS ]
R. Gera, L. Alonso, B.
Crawford, J. House, J. A. Mendez-Bermudez, T. Knuth, and R. Miller.
Appl. Net. Sci. 3,
2 (2018).
2017
62. Diluted banded random matrices:
Scaling behavior of eigenfunction and spectral properties. [ JPA ] [ arXiv ]
J. A. Mendez-Bermudez, G.
Ferraz-de-Arruda, F. A. Rodrigues, and Y. Moreno.
J. Phys. A: Math. Theor. 50, 495205 (2017).
61. Scaling properties of
multilayer random networks. [ PRE ] [ arXiv ]
J. A. Mendez-Bermudez, G. Ferraz-de-Arruda, F. A. Rodrigues, and Y. Moreno.
Phys. Rev. E 96,
012307 (2017).
2016
60. Cross section versus time delay and
trapping probability. [ PLA ] [ arXiv ]
G. A. Luna-Acosta, A. A. Fernandez-Marin, J. A.
Mendez-Bermudez, and C. Poli.
Phys. Lett. A 380,
2494 (2016).
59. Analytical description of
critical dynamics for two–dimensional dissipative nonlinear
maps. [ PLA ]
J. A. Mendez-Bermudez, J. A.
deOliveira, and E. D. Leonel.
Phys. Lett. A 380,
1959 (2016).
58. Lloyd–model generalization: Conductance fluctuations
in one-dimensional disordered systems. [ PRE ] [ arXiv ]
J. A. Mendez-Bermudez, A. J. Martinez-Mendoza, V. A. Gopar, and I.
Varga.
Phys. Rev. E 93, 012135 (2016).
2015
57. Beyond Anderson localization: Anomalous
transmission of waves through media with Levy disorder. [ IEEE ]
A. A. Fernandez-Marin, J. A.
Mendez-Bermudez, J. Carbonell, F. Cervera, J. Sanchez-Dehesa, and V. A. Gopar.
in Proceedings of the 9th
International Congress on Advanced Electromagnetic Materials in Microwaves and
Optics - Metamaterials 2015, pp. 409-411 (IEEE, 2015).
56. Leaking of trajectories from the phase space
of discontinuous dynamics. [ JPA ]
J. A. Mendez-Bermudez, A. J.
Martinez-Mendoza, A. L. P. Livorati, and E. D. Leonel.
J. Phys. A: Math. Theor. 48, 405101
(2015).
55. Scaling properties for a family of
discontinuous mappings. [ PA ]
J. A. Mendez-Bermudez, J. A.
deOliveira, R. Aguilar-Sanchez, and E. D. Leonel.
Phisica
A 436, 943 (2015).
54. Localization properties of eigenstates in
waveguides and cavities with corrugated boundaries. [ WRCM ]
J. A. Mendez-Bermudez and C.
Gonzalez-Zacarias.
Waves Random Complex
Media 25, 109 (2015).
53. Universality in the spectral and
eigenfunction properties of random networks. [ PRE ] [ arXiv ]
J. A. Mendez-Bermudez, A.
Alcazar-Lopez, A. J. Martinez-Mendoza, F. A. Rodrigues, and T. K. DM. Peron.
Phys. Rev. E 91, 032122 (2015).
2014
52. Beyond Anderson localization in 1D:
Controlling anomalous localization of microwaves in random waveguides. [ PRL ] [ arXiv ]
A. A. Fernandez-Marin, J. A.
Mendez-Bermudez, J. Carbonell, F. Cervera, J. Sanchez-Dehesa, and V. A. Gopar.
Phys. Rev. Lett. 113, 233901
(2014).
51. On the generalized dimensions of multifractal
eigenstates. [ JSM ] [ arXiv ]
J. A. Mendez-Bermudez, A.
Alcazar-Lopez, and I. Varga.
J. Stat. Mech. P11012
(2014).
50. Two–dimensional
nonlinear map characterized by tunable Levy fights. [ PRE ] [ arXiv ]
J. A. Mendez-Bermudez, J. A.
deOliveira, and E. D. Leonel.
Phys. Rev. E 90, 042138 (2014).
49. Transport through quasi–one–dimensional
wires with correlated disorder. [ PRE ] [ arXiv ]
I. F. Herrera-Gonzalez, J. A.
Mendez-Bermudez, and F. M. Izrailev.
Phys. Rev. E 90, 042115 (2014).
48. Reflection resonances in surface–disordered
waveguides: strong higher–order effects of the
disorder. [ NJP ] [ arXiv ]
C. J. Doppler, J. A.
Mendez-Bermudez, J. Feist, O. Dietz, D. O. Krimer, N. M. Makarov, F. M.
Izrailev, and S. Rotter.
New J. Phys. 16, 053026
(2014).
2013
47. Spectral properties of a two dimensional photonic
crystal with quasi–integrable geometry.
[ JPCS ]
J. J. Cruz-Bueno, J. A.
Mendez-Bermudez, and J. Arriaga.
J. Phys.: Conf. Series. 475, 012009
(2013).
46. An efficient method to compute the scattering
properties of long periodic waveguides.
[ JPCS ]
A. Alcazar-Lopez, J. A.
Mendez-Bermudez, and G. A. Luna-Acosta.
J. Phys.: Conf. Series. 475, 012001
(2013).
45. Dynamical properties of a dissipative
discontinuous map: A scaling investigation. [ PLA ] [ arXiv ]
R. Aguilar-Sanchez, E. D. Leonel, and J. A.
Mendez-Bermudez.
Phys.
Lett. A 377,
3216 (2013).
44. Scattering and transport properties of
tight–binding random networks. [ PRE ] [ arXiv ]
A. J. Martinez-Mendoza,
A. Alcazar-Lopez, and J. A. Mendez-Bermudez.
Phys.
Rev. E 88,
122126 (2013).
43. Disorder to chaos transition in the conductance
distribution of corrugated waveguides.
[ PRE ] [ arXiv ]
A. Alcazar-Lopez and J. A.
Mendez-Bermudez.
Phys.
Rev. E 87,
032904 (2013).
2012
42. Electrochemical studies of Nafion–Trimethylsilyl
and Nafion–Trimethylsilyl/Ru–complex modified electrodes. [ JSSE ]
R. Aguilar-Sanchez, R. J. Diaz-Caballeros,
J. A. Mendez-Bermudez, J. L. Garate-Morales, and G. Dominguez-Meneses.
J. Solid State
Electrochem. 16, 2867
(2012).
41. Study of transport statistics of the power–law
banded random matrix model at criticality under the IBERCIVIS project. [ GISELA ]
J. A. Mendez-Bermudez, A. J.
Martinez-Mendoza, and Fermin Serrano.
in Proceedings of the
Joint GISELA-CHAIN Conference, pp. 147-153, edited by R. Barbera, L. N. Ciuffo, J. C. Guzman, and H. Hoeger (COMETA,
Catania-Italy, 2012).
ISBN: 978-88-95892-05-4.
40. Dynamics of particles in corrugated waveguides. Classical
description. [ RMF ]
A. J. Martinez-Mendoza, J. A.
Mendez-Bermudez, G. A. Luna-Acosta, and N. Atenco-Analco.
Rev. Mex. Fis. S 58, 6 (2012).
39. Unidirectional two–dimensional periodic waveguides. [ RMF ]
A. Alcazar-Lopez, J. A.
Mendez-Bermudez, and G. A. Luna-Acosta.
Rev.
Mex. Fis. S 58, 1 (2012).
38. Scaling properties of discontinuous maps. [ PRE ] [ arXiv ]
J. A. Mendez-Bermudez and R.
Aguilar-Sanchez.
Phys.
Rev. E 85,
056212 (2012).
37. Multifractal dimensions for critical random matrix
ensembles. [ EPL ] [ arXiv ]
J. A. Mendez-Bermudez, A.
Alcazar-Lopez, and I. Varga.
Europhys. Lett. 98,
37006 (2012).
36. Photonic heterostructures with Levy–type disorder:
Statistics of coherent transmission.
[ PRA ] [ arXiv ]
A. Fernandez-Marin, J. A.
Mendez-Bermudez, and V. A. Gopar.
Phys. Rev. A 85, 035803 (2012).
2010
35. Conductance statistics for the power–law banded
random matrix model. [ AIP ]
A. J. Martinez-Mendoza, J. A.
Mendez-Bermudez, and I. Varga.
AIP
Conf. Proc. 1319,
41 (2010).
34. Scattering and transport statistics at the
metal–insulator transition: A numerical study of the power–law band random
matrix model. [ PRB ] [ arXiv ]
J. A. Mendez-Bermudez, V. A. Gopar,
and I. Varga.
Phys.
Rev. B 82,
125106 (2010).
33.
Quantum scattering and transport in
classically chaotic cavities: An overview of past and new results. [ WS ] [ arXiv ]
P. A. Mello, V. A. Gopar, and J. A. Mendez-Bermudez.
in Chaotic Systems: Theory and Applications,
pp. 191-206, edited by C. H. Skiadas and I. Dimotikalis (World Scientific,
Singapore, 2010).
ISBN:
978-981-4299-71-8.
2009
32. Broken time–reversal symmetry scattering at the Anderson
transition. [ AdP ]
A. Alcazar-Lopez, J. A. Mendez-Bermudez, and I. Varga.
Ann. Phys. (Berlin) 18,
896 (2009).
31.
Conductance distribution at criticality: one–dimensional Anderson model with random long–range hopping. [ AdP ]
J. A. Mendez-Bermudez, V. A. Gopar, and I. Varga.
Ann. Phys. (Berlin) 18, 891 (2009).
30.
Multidirectional tunable wave resonators. [
SPIE ]
J. A. Mendez-Bermudez, C. Tapia-Ignacio, and G. A. Luna-Acosta.
Proc. SPIE 7499, 74991A (2009).
29.
Effects of Andreev reflection on the
conductance of quantum–chaotic
dots. [ PRB ] [ arXiv ]
V. A. Gopar, J. A. Mendez-Bermudez, and A. H. Aly.
Phys. Rev. B 79, 245412 (2009).
2008
28. Emergence of intermediate
spectral statistics in surface corrugated waveguides. [ AIP ]
J. A. Mendez-Bermudez and R. Aguilar-Sanchez.
AIP Conf. Proc. 1076, 154 (2008).
27. Ondulating 2D
waveguides. Dynamical and transport properties. [ MJ ]
G. A. Luna-Acosta, J. J. Reyes-Salgado, and J. A. Mendez-Bermudez.
Microelectron. J. 39, 1388 (2008).
26. Transverse
localization in quasi–one–dimensional surface–corrugated waveguides. [ MJ ]
J. A. Mendez-Bermudez and F. M. Izrailev.
Microelectron. J. 39, 1376 (2008).
25. Entanglement
in disordered systems at criticality. [ PSSc ] [ arXiv ]
I. Varga and J. A. Mendez-Bermudez.
Phys.
Stat. Sol. (c) 5,
867 (2008).
24.
Scaling properties of delay times in one–dimensional random media. [ PRB ] [ arXiv ]
J.
Bodyfelt, J. A. Mendez-Bermudez, A. Chabanov, and T. Kottos.
Phys. Rev. B 77, 045103 (2008).
2007
23. Microwave chaotic
open cavities. Applications of dynamical trapping. [ IEEE ]
G. A. Luna-Acosta and J. A. Mendez-Bermudez.
in Proceedings of the Sixth
International Kharkov Symposium on Physics and Engineering of Microwaves,
Millimeter and Submillimeter Waves and Workshop on Terahertz Technologies,
2007. MSMW '07, pp. 137-139, edited by A. Kostenko, A. Nosich,
and V. Yakovenko (IEEE, New Jersey, 2007).
ISBN:
1-4244-1237-4.
22.
Multicavity wave resonator design using
chaos studies. [
SPIE ]
J. A. Mendez-Bermudez and G. A. Luna-Acosta.
Proc. SPIE 6422, 64220P (2007).
2006
21. Micro laser design
based on wave chaos. [ NOVA ]
J. A. Mendez-Bermudez, G. A. Luna-Acosta, K. N. Pichugin, P. Seba, U. Kuhl, and
H.-J. Stoeckmann.
in Trends in Lasers and
Electro-Optics Research, pp. 225-255, Chapter 8, edited by W. T.
Arkin (Nova Science Publishers, New York, 2006).
ISBN:
1-59454-498-0.
20.
Scattering at the Anderson transition: Power–law banded random matrix model. [ PRB ] [ arXiv ]
J. A. Mendez-Bermudez and I. Varga.
Phys. Rev. B 74, 125114 (2006).
19. Parametric
invariant random matrix model and the emergence of multifractality. [ PRE ] [ arXiv ]
J. A. Mendez-Bermudez, T. Kottos, and D. Cohen.
Phys. Rev. E 73,
036204 (2006).
18. Resonance
width distribution for high dimensional random media. [ PRB ] [ arXiv ]
M. Weiss, J. A. Mendez-Bermudez, and T. Kottos.
Phys. Rev. B 73,
045103 (2006).
17. Classical
counterpart of wave functions for two–dimensional open waveguides. [ CNSNS ]
J. A. Mendez-Bermudez and R. Aguilar-Sanchez.
Commun. Nonlinear Sci. Numer. Simulat. 11, 803 (2006).
2005
16. Parametric evolution
of eigenstates: beyond perturbation theory and semiclassics. [ PRE ] [ arXiv ]
J. A. Mendez-Bermudez, T. Kottos, and D. Cohen.
Phys. Rev. E 72,
027201 (2005).
15. Probing the
eigenfunction fractality using Wigner delay times. [ PRB ] [ arXiv ]
J. A.
Mendez-Bermudez and T. Kottos.
Phys. Rev. B 72, 064108 (2005).
14. Design of
switches and beam splitters by use of chaotic cavities. [ OL ] [ arXiv ]
O. Bendix and J. A. Mendez-Bermudez.
Opt. Lett. 30, 1396 (2005).
13.
Design of beam splitters and microlasers
using chaotic waveguides. [ MJ ] [ arXiv ]
O. Bendix, J. A. Mendez-Bermudez, G. A. Luna-Acosta, U. Kuhl, and H.-J.
Stoeckmann.
Microelectron.
J. 36, 285
(2005).
12.
Solution of the eigenvalue problem for two–dimensional modulated billiards using a
coordinate transformation. [ CNSNS ]
J. A. Mendez-Bermudez, G. A. Luna-Acosta, F. M. Izrailev, and R.
Aguilar-Sanchez.
Commun. Nonlinear Sci. Numer. Simulat. 10, 787 (2005).
2004
11. From chaos to
disorder in quasi–1D
billiards with corrugated surfaces. [ PE ] [ arXiv ]
J. A. Mendez-Bermudez, G. A. Luna-Acosta, and F. M. Izrailev.
Physica E 22, 881 (2004).
2003
10. Ballistic
localization in quasi–one–dimensional waveguides with rough surfaces. [ PRE ] [ arXiv ]
F. M. Izrailev, J. A. Mendez-Bermudez, and G. A. Luna-Acosta.
Phys. Rev. E 68, 066201 (2003).
09. Amplitude and gradient
scattering in waveguides with corrugated surfaces. [ PSSc ] [ arXiv ]
F. M. Izrailev, G. A. Luna-Acosta, J. A. Mendez-Bermudez, and M. Rendon.
Phys. Stat. Sol. (c) 0, 3032 (2003).
08.
Chaotic waveguide–based resonators for microlasers. [ PRB ] [ arXiv ]
J. A. Mendez-Bermudez, G. A. Luna-Acosta, P. Seba, and K. N. Pichugin.
Phys. Rev. B 67,
161104(R) (2003).
2002
07. Directional emission
from microlasers with open chaotic resonators. [ PSSb ] [ arXiv ]
J. A. Mendez-Bermudez, G. A. Luna-Acosta, and P. Seba.
Phys. Stat. Sol. (b) 230, 385 (2002).
06. Thermal
diffusivity, thermal conductivity and resistivity of candelilla wax. [ JPCM ] [ arXiv ]
V. Dossetti-Romero, J. A. Mendez-Bermudez, and E. Lopez-Cruz.
J. Phys.: Condens. Matter 14, 9725 (2002).
05. Understanding
quantum scattering properties in terms of purely classical dynamics. Two–dimensional open chaotic billiards. [ PRE ] [ arXiv ]
J. A. Mendez-Bermudez, G. A. Luna-Acosta, P. Seba, and K. N. Pichugin.
Phys.
Rev. E 66, 046207
(2002).
04.
Chaotic electron motion in superlattices.
Quantum–classical
correspondence of the structure of eigenstates and LDOS. [ PE ] [ arXiv ]
G. A. Luna-Acosta, J. A. Mendez-Bermudez, and F. M. Izrailev.
Physica E 12, 267 (2002).
03.
Classical versus quantum structure of the
scattering probability matrix. Chaotic waveguides. [ PRE ] [ arXiv ]
G. A. Luna-Acosta, J. A. Mendez-Bermudez, P. Seba, and K. N. Pichugin.
Phys. Rev. E 65, 046605 (2002).
2001
02. Periodic chaotic
billiards: Quantum–classical
correspondence in energy space. [ PRE ] [ arXiv ]
G. A. Luna-Acosta, J. A. Mendez-Bermudez, and F. M. Izrailev.
Phys. Rev. E 64, 036206 (2001).
2000
01. Quantum–classical correspondence for local density of
states and eigenfunctions of a chaotic periodic billiard. [
PLA ] [ arXiv ]
G. A. Luna-Acosta, J. A. Mendez-Bermudez, and F. M. Izrailev.
Phys. Lett. A 274,
192 (2000).