Edgardo Ugalde
Instituto de Física
Universidad Autónoma de San Luis Potosí
Av. Manuel Nava #6, Zona Universitaria
San Luis Potosí, S.L.P., 78290 México
Tel: [+52](444) 8262362 ext 115
Scientific Publications
Theory
- A. España, X. Leoncini and E. Ugalde,
"Paths towards synchronization: analytical
treatment of completely connected networks",
Journal of Physics A 56 (22) (2023) 225202
- L. A Corona, R Salgado-García and E. Ugalde,,
"On the Correspondence between Subshifts of Finite Type
and Statistical Mechanics Models",
Entropy 24 (12) (2022) 1772
- E. Floriani, R. Lima and E. Ugalde,
"An elementary approach to subdiffusion",
Stochastics and Dynamics 21 (7) (2021) 2150045
- J.-R- Chazottes, J. Moles, F. Redig and E. Ugalde,
"Gaussian concentration and uniqueness of equilibrium states in lattice systems",
Journal of Statistical Physics 181 (6) (2020) 2131-2149
- J.-R- Chazottes, J. Moles and E. Ugalde,
"Gaussian Concentration bound for potentials satisfying Walters condition with subexponential continuity rates",
Nonlinearity 33 (3) (2020) 1094-1117
- C. Maldonado, L. Trejo-Valencia and E. Ugalde,
"Constant-Length Random Substitutions and Gibbs Measures",
Journal of Statistical Physics 171(2) (2018) 269-287
- E. Catsigeras, P. Guiraud, A. Meyroneinc and E. Ugalde,
"On the asymptotic properties of piecewise contracting maps" ,
Dynamical Systems 31 (2) (2016) 107-135.
- L. Trejo-Valencia and E. Ugalde,
"Projective distance and g-measures",
Discrete and Continuous Dynamical Systems B 20 (10) (2015) 3565-3579.
- J. Esquivel-Gómez, R. E. Balderas-Navarro, E. Ugalde and J. Acosta-Elías,
"On the growth of directed complex networks with preferential attachement: Effect upon the prohibition of multiple links",
International Journal of Modern Physics C 26 (6) (2015) 1550066 (12 pages)
- R. Salgado-García and E. Ugalde ,
"Exact scaling in the expansion-modification system" , Journal of Statistical Physics
153 (5) (2013) 842-863.
- J.-R. Chazottes, J.-M. Gambaudo, H. Hochman and E. Ugalde ,
"On the finite-dimensional marginals of shift-invariant measures" , Ergodic Theory and Dynamical Systems
32 (5) (2012) 1485-1500.
- R. Lima, A. Meyroneinc and E. Ugalde, "Dynamic modularity in discrete-time models of regulatory networks",
Chaos, Solitons & Fractals 45 (5) (2012) 561-576.
- J.-R- Chazottes and E. Ugalde, "On the preservation of gibbsianness
under amalgamation of symbols" , in Entropy of Hidden Markov Processes and Connections to Dynamical Systems,
LMS Lecture Note 385 (2011) 72-97.
- J.-R. Chazottes, J.-M. Gambaudo and E. Ugalde ,
"Zero-temperature limit of one-dimensional Gibbs states via renormalization: the case of locally constant potentials",
Ergodic Theory and Dynamical Systems 31 (4) (2011) 1109-1161.
- B. Fernandez, B. Luna and E. Ugalde , "Spatial chaos of traveling waves has a given velocity",
Physical Review E , 80 (2) 025203(R)
- B. Luna and E. Ugalde , "Dominant Vertices in Regulatory Network
Dynamics", Physica D, 237 (21) (2008) 2685-2695
- A. Cros, A. Morante, and E. Ugalde, "Regulatory
dynamics on random networks: asymptotic periodicity and modularity", Nonlinearity 21 (3)
(2008) 537-556.
- E. Ugalde, "De la Mecánica Estadística
a la Teoría Ergódica", Revista Mexicana de Física E 53 (2007) 191-194.
- R. Lima and E. Ugalde, "Dynamical complexity of discrete-time
regulatory networks", Nonlinearity 19 (1) (2006) 237-259.
- G. Salazar, E. Ugalde and J. Urías, "Master-slave synchronization of cellular automaton pairs",
Discrete and Continuous Dynamical Systems 13 (2) (2005) 491-502.
- J.-R. Chazottes, L. Ramíez and E. Ugalde,
"Finite type approximations to Gibbs measures on sofic subshifts", Nonlinearity
18 (1) (2005) 445-465.
- J.-R. Chazottes and E. Ugalde, "Entropy estimation and fluctuations
of hitting and recurrence times for Gibbsian sources", Discrete and Continuous Dynamical Systems--Series B
5 (3) (2005) 565-586.
- V. Afraimovich, A. Morante and E. Ugalde, "On the density of directional entropy in lattice dynamical systems",
Nonlinearity 17 (1) (2004) 105-116.
- V. Afraimovich, L. Ramírez and E. Ugalde, "Spectrum of dimensions for Poincaré recurrences for
nonuniformly hyperbolic geometric constructions", Proceeding of Symposia in Pure Mathematics 72.1 (2004)
417-433.
- G. Salazar and E. Ugalde, "An Improved Bound for the Crossing Number of Cm x Cn: a
Self Contained Proof Using Mostly Combinatorial Arguments", Graphs and Combinatorics 20 (2)
(2004) 247-253.
- J.-R. Chazottes and E. Ugalde,
"Projection of Markov measures may be Gibbsian", Journal of Statistical Physics 111 (5/6) (2003)
1245-1272.
- V. Afraimovich, J.-R. Chazottes and E. Ugalde,
"Spectra of dimensions for Poincaré recurrences for special flows",
Taiwanese Journal of Mathematics 6 2 (2002), 269-285.
- B. Fernandez, E. Ugalde and J. Urías, "Spectrum of Dimensions for Poincaré Recurrences of Markov maps",
Discrete and Continuous Dynamical Systems 8 (4) (2002) 835-849.
- V. Afraimovich, E. Ugalde and J. Urías, "Poincaré recurrences for rhythmical dynamics",
Far East Journal of Dynamical Systems 2 (2000) 53-67.
- E. Ugalde,
"An alternative construction of normal numbers", Journal de Théorie des Nombres de Bordeaux, 12 (2000) 165-177.
- V. Afraimovich, J. Schmeling, E. Ugalde J. Urías "Spectra of dimensions for Poincaré recurrences",
Discrete and Continuous Dynamical Systems 6 (4) (2000) 901-914.
- E. Ugalde, "A constructible set of normal numbers with positive measure", in Dynamical Systems: From
cristal to chaos, Ed. J.-M. Gambaudo, P. Hubert, P. Tisseur and S. Vaienti. World Scientific (2000).
- G. Salazar, E. Ugalde and J. Urías, "Synchronization of cellular automaton pairs", Chaos
8 (4) (1998) 814--819.
- A. Enciso, G. Salazar, E. Ugalde and J. Urías,
"Traveling Patterns in Cellular Automata", Chaos 6 (3) (1996) 493-503.
- E. Ugalde and J. Urías, "Symmetry Groups of Automata", Physica D 70 (1994) 178-184.
Applications
- R. Salgado-García and E. Ugalde ,
Symbolic Complexity for Nucleotide Sequences: A Sign of the Genome Structure ,
Journal of Physics A 49 (2016) (44) ID 445601, 21 pages
- A. Aguilera and E. Ugalde ,
Entropía de grafos y su uso para medir la
inteligibilidad de la ciudad,
Estudios Geográficos 75 (227) (2014)
479-494
- A. Aguilera and E. Ugalde ,
"Graph entropy as tool for understanding complex
urban networks. The case of Ensenada city, Mexico",
International Journal of Society Systems Science
6 (1) (2014) 87-99.
- A. Espinoza-Valdez, F. C. Ordaz-Salazar, E. Ugalde and R. Femat,
"Analysis of a Model for the Morphological Structure
of Renal Arterial Tree: Fractal Structure" , Journal of Applied Mathematics 2013
(2013) Article ID 396486.
- B. Luna, E. Galán-Vásquez, E. Ugalde and A. Martínez-Antonio,
"Structural Comparison of Biological Networks Based on Dominant Vertices" ,
Molecular BioSystems 9 (2013) 1765-1773.
- B. Luna, E. Ugalde and A. Martínez-Antonio, "Regulatory dynamics of standard two-component systems in bacteria",
Journal of Theoretical Biology 264 (2010) 560-569.
- G. Vilaclara, G. Martínez-Mekler, E. Cuna and E. Ugalde, "Diatom-inferred palaeoenviromental chages of Pliocene
lake disturbed by volcanic activity", Journal of Paleolimnology 44 (2010) 203-215.
- A. Aguilera and E. Ugalde, "A Spatially Extended Model for
Residential Segregation", Discrete Dynamics in Nature and Society 2007 (2007),
Article ID 48589, 20 pages
- G. Martínez-Mekler, E. Ugalde, and G. Vilaclara, "Power spectrum crossover in sediments of a paleolake
disturbed by volcanism", European Physical Journal, Special Topics 143 (2007) 217-222.
- E. Ugalde, G. Martínez-Mekler, and G. Vilaclara,
"Scaling and extended scaling in sediment registers of a paleolake perturbed by volcanic activity",
Physica A 366 (2006) 485-494.
- R. Lima and E. Ugalde, "Dynamical lecture of statistical turbulence", Journal de Physique IV 8
(Pr6) (1998) 157-162.
- G. Salazar, E. Ugalde and J. Urías, "A cryptosystem based on cellular automata", Chaos
8 (4) (1998) 819-823.
- E. Ugalde , "Self-similarity and finite time intermittent effects in turbulent sequences", Journal of Physics A:
Mathematics and General 29 (1996) 4425-4443.
- R. Lima and E. Ugalde, "On the Discrete Modelisation of Local Turbulence", Physica D 95 (1996) 144-157.
Book
- V. Afraimovich, E. Ugalde and J. Urías,
Fractal Dimensions for Poincaré Recurrences , Monograph Series on Nonlinear Sciences and Complexity Volume 2,
Elsevier 2006.
- E. González-Aguilar and E. Ugalde (Editors),
Nonlinear Dynamics: New Directions , Nonlinear Systems and Complexity Series Volumes 11 and 12,
Springer Verlag 2015.
Students Supervision
Doctoral Students
- "Complexity as a mesure of paths to regularity".
A. A. España.
Doctor of Interdisciplinary Sciences UASLP, 2023.
Co-advisor: X. Leoncini, Aix-Marseille Université.
- "Models of Statistical Mechanics in Symbolic Dynamics".
L. A. Corona.
Doctor in Sciences UAEMor, 2022.
Co-advisor: R. Salgado-García, UAEMor.
- "On concentration inequalities for equilibrium states in lattice and symbolic dynamical systems".
J. Moles.
Doctor of Interdisciplinary Sciences UASLP, 2021.
- "Projective Distance and g-Measures". L. P. Trejo.
Doctor of Applied Scineces UASLP, 2016.
- "Discrete-time Regulatory Networks". B. C. Luna. Doctor of Applied Science UASLP, 2009 .
- "Urban segregation phenomena: a cellular automata approach". A. Aguilera.
Doctor of Applied Sciences UASLP, 2007.
- "Contributions to the study of symbolic systems". L. A. Ramírez.
Doctor of Applied Sciences UASLP, 2005.
Co-advisor: V. Afraimovich, IICO-UASLP.
Master's Students
- "On the complexity of boolean networks". E. A. Zuña.
Master of Science (Physics) UASLP, 2019
Co-advisor: J. Urías, UASLP
- "An agent-based model for social uprising".
A. A. España . Master of Interdisciplinary Sciences UASLP 2018.
Co-advisor: A. Aguilera, COLSAN
- "Spatio-Temporal modeling of urban growth and land-use
changes by means of cellular automata". R. I. Gutiérrez. Master of Sciences
(Mathematics) UANL 2017.
Co-advisor: F. J. Almaguer, FCFM-UANL
- "Small World Phenomena in the Cn,φ
Family of Graphs".
A. Martínez. Master of Applied Sciences UASLP,
2016.
- "Pattern formation in a model of reaction-diffusion with
precipitation". B. A. Ponce. Master of Applied Sciences
UASLP, 2014.
- "Eulerian model for the agglomeration of spatially inhomogeneous colloidal systems".
M. de A. Rodríguez.
Master of Science (Physics) UASLP, 2013
- "Discrete-time quantum and classical random walks on graphs".
M. A. Alvarado. Master of Science (Physics) UASLP, 2013.
- "Nullity of the topological entropy of some piecewise-affine contractive maps". R. Chavira.
Master of Applied Sciences UASLP, 2010.
- "Study of the projective convergence of equilibrium measures on sysmbolic systems". C. A. Maldonado.
Master of Applied Sciences UASLP, 2009.
- "Stable synchronization in coupled map networks with symmetries". B. C. Luna.
Master of Applied Sciences UASLP, 2006.
- "Means' Equivalence without Ensembles' Equivalence". R. Moreno. Master of Applied Sciences UASLP, 2005.
- "Self-similarity and Self-organized Criticality in Zhang's Model". S. Cázares .
Master of Applied Sciences UASLP, 2003.
- "Modeling the urban growth in marginal zones". E. Castillo. Master of Applied Sciences UASLP, 2003.
Co-advisor: A. Aguilera, COLSAN.
- "Hausdorff dimension of sets generated by non-uniformily contractive maps". L. A. Ramírez.
Master of Applied Sciences UASLP, 2002.
Co-advisor: V. Afraimovich, IICO-UASLP.
- "Contributions to the Perron-Frobenius Theory". C. J. Rubio. Master of Applied Sciences UASLP, 2001.
- "Synchronization of cellular automaton pairs". J. G. Sánchez. Master of Applied Sciences UASLP, 1999.
- "Processing and transmission of fractal images". J. Rentería. Master of Applied Sciences UASLP, 1999.
e-mail:
ugalde@ifisica.uaslp.mx
Updated, august 22, 2023