Edgardo Ugalde

Academic Background

Scientific Interests

1. The Thermodynamic Formalism of Dynamical Systems
2. Symbolic Dynamics
3. Dynamics on Networks
4. Equilibrium Statistical Mechanics
5. Modeling of Biological and Social Phenomena

Scientific Publications

1. A. Loreto, E. Ugalde and C. Espinosa-Soto, "RNA-ligand complexes and the attenuation of neutral confinement in the evolution of RNA secondary structures" Journal of the Royal Society Interface (2026) 23:20260102
2. A. España, W. Funez and Edgardo Ugalde, "Dominant vertices and attractors' landscape for Boolean networks", Discrete and Continuous Dynamical Systems - Series B (2026) 37:254-274
3. J. A. Motilla-Chávez, D. Espitia, D. Perez-Martínez, E. Galán-Vásquez, Edgardo Ugalde, Marcela Lomelí-Jasso, Eduardo Pérez-Martínez, Hector G. Pérez-Gonzalez, Fernando Carlín-Loza, Valeria Martínez-Ramírez, Mart&iactue;n Zumaya Hernández, " A methodological framework for the use of AI tools in automated workflows for generating validated and structured historical datasets", International Journal of Digital Humanities (2026) 8:83-110
4. J.-R. Chazottes, F. Redig and E. Ugalde, "Gaussian concentration bounds for probabilistic cellularautomata", Journal of Statistical Physics (2026) 192:169
5. J. A. Motilla-Chávez, E.Ugalde and E. Galán-Vásquez, "Social networks from dailies: the observer’s point of view" , Applied Network Science (2024) 9:67
6. A. España, X. Leoncini and E. Ugalde, "Paths towards synchronization: analytical treatment of completely connected networks" , Journal of Physics A (2023) 56:225202
7. L. A Corona, R. Salgado-García and E. Ugalde, "On the Correspondence between Subshifts of Finite Type and Statistical Mechanics Models", Entropy (2022) 24:1772
8. E. Floriani, R. Lima and E. Ugalde, "An elementary approach to subdiffusion", Stochastics and Dynamics (2021) 7:2150045
9. J.-R. Chazottes, J. Moles, F. Redig and E. Ugalde, "Gaussian concentration and uniqueness of equilibrium states in lattice systems", Journal of Statistical Physics (2020) 181:2131-2149
10. J.-R. Chazottes, J. Moles and E. Ugalde, "Gaussian Concentration bound for potentials satisfying Walters condition with subexponential continuity rates", Nonlinearity (2020) 33:1094-1117
11. C. Maldonado, L. Trejo-Valencia and E. Ugalde, "Constant-Length Random Substitutions and Gibbs Measures", Journal of Statistical Physics (2018) 171:269-287
12. E. Catsigeras, P. Guiraud, A. Meyroneinc and E. Ugalde, "On the asymptotic properties of piecewise contracting maps" , Dynamical Systems (2016) 31:107-135.
13. R. Salgado-García and E. Ugalde, "e;Symbolic Complexity for Nucleotide Sequences: A Sign of the Genome Structure"e; , Journal of Physics A (2016) 21: 445601
14. B. Luna, E. Galán-Vásquez, E. Ugalde and A. Martínez-Antonio, "Structural Comparison of Biological Networks Based on Dominant Vertices", Molecular BioSystems (2013) 9:1765-1773
15. L. Trejo-Valencia and E. Ugalde, "Projective distance and g-measures", Discrete and Continuous Dynamical Systems B (2015) 20:3565-3579.
16. 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 (2015) 26:1550066
17. A. Aguilera and E. Ugalde, " Entropía de grafos y su uso para medir la inteligibilidad de la ciudad ", Estudios Geográficos (2014) 75:479-494
18. 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 (2014) 6:87-99
19. 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) 2013:396486
20. R. Salgado-García and E. Ugalde, "Exact scaling in the expansion-modification system" , Journal of Statistical Physics (2013) 153:842-863
21. 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 (2012) 32:1485-1500
22. R. Lima, A. Meyroneinc and E. Ugalde, "Dynamic modularity in discrete-time models of regulatory networks", Chaos, Solitons & Fractals (2012) 45:561-576
23. 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
24. 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 (2011) 31:1109-1161
25. B. Luna, E. Ugalde and A. Martínez-Antonio, "Regulatory dynamics of standard two-component systems in bacteria", Journal of Theoretical Biology (2010) 264:560-569
26. G. Vilaclara, G. Martínez-Mekler, E. Cuna and E. Ugalde, "Diatom-inferred palaeoenviromental chages of Pliocene lake disturbed by volcanic activity", Journal of Paleolimnology (2010) 44:203-215.
27. B. Fernandez, B. Luna and E. Ugalde, "Spatial chaos of traveling waves has a given velocity", Physical Review E (2008) 80:025203(R)
28. E. Ugalde, G. Martínez-Mekler, and G. Vilaclara, "Scaling and extended scaling in sediment registers of a paleolake perturbed by volcanic activity", Physica A (2006) 336:485-494
29. B. Luna and E. Ugalde, "Dominant Vertices in Regulatory Network Dynamics", Physica D (2008) 237:2685-2695
30. A. Cros, A. Morante, and E. Ugalde "Regulatory dynamics on random networks: asymptotic periodicity and modularity", Nonlinearity (2008) 21:537-556. <
31. A. Aguilera and E. Ugalde, "A Spatially Extended Model for Residential Segregation", Discrete Dynamics in Nature and Society (2007) 2007:48589
32. G. Martínez-Mekler, E. Ugalde and G. Vilaclara, "Power spectrum crossover in sediments of a paleolake disturbed by volcanism", European Physical Journal, Special Topics (2007) 143:217-222
33. E. Ugalde, "De la Mecánica Estadística a la Teoría Ergódica", Revista Mexicana de Física E 2007) 53:191-194.
34. R. Lima and E. Ugalde, "Dynamical complexity of discrete-time regulatory networks", Nonlinearity (2006) 19:237-259.
35. G. Salazar, E. Ugalde and J. Urías, "Master-slave synchronization of cellular automaton pairs", Discrete and Continuous Dynamical Systems (2005) 13:491-502
36. J.-R. Chazottes, L. Ramíez and E. Ugalde, "Finite type approximations to Gibbs measures on sofic subshifts", Nonlinearity (2005) 18:445-465
37. 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 (2005) 5:565-586
38. V. Afraimovich, A. Morante and E. Ugalde, "On the density of directional entropy in lattice dynamical systems", Nonlinearity (2004) 17:105-116
39. V. Afraimovich, L. Ram&iactue;rez and E. Ugalde, "Spectrum of dimensions for Poincaré recurrences for nonuniformly hyperbolic geometric constructions", Proceeding of Symposia in Pure Mathematics (2004) 72.1:417-433
40. G. Salazar and E. Ugalde, "An Improved Bound for the Crossing Number of C_m x C_n: a Self Contained Proof Using Mostly Combinatorial Arguments", Graphs and Combinatorics (2004) 20:247-253
41. J.-R. Chazottes and E. Ugalde, "Projection of Markov measures may be Gibbsian", Journal of Statistical Physics (2003) 111:1245-1272.
42. V. Afraimovich, J.-R. Chazottes and E. Ugalde, "Spectra of dimensions for Poincaré recurrences for special flows", Taiwanese Journal of Mathematics (2002) 6:269-285.
43. B. Fernandez, E. Ugalde and J. Urías, "Spectrum of Dimensions for Poincaré Recurrences of Markov maps", Discrete and Continuous Dynamical Systems (2002) 8:835-849
44. V. Afraimovich, E. Ugalde and J. Urías, "Poincaré© recurrences for rhythmical dynamics", Far East Journal of Dynamical Systems (2000) 2:53-67.
45. E. Ugalde, "An alternative construction of normal numbers", Journal de Théorie des Nombres de Bordeaux (2000) 12:165-177.
46. V. Afraimovich, J. Schmeling, E. Ugalde and J. Urías, "Spectra of dimensions for Poincaré recurrences", Discrete and Continuous Dynamical Systems (2000) 6:901-914
47. 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)
48. G. Salazar, E. Ugalde and J. Urías, "Synchronization of cellular automaton pairs", Chaos (1998) 814-819
49. A. Enciso, G. Salazar, E. Ugalde and J. Urías, "Traveling Patterns in Cellular Automata", Chaos (1996) 6:493-503
50. R. Lima and E. Ugalde "Dynamical lecture of statistical turbulence", Journal de Physique (1998) 8:157-162.
51. G. Salazar, E. Ugalde and J. Urías, "A cryptosystem based on cellular automata", Chaos (1998) 8:819-823
52. E. Ugalde, "Self-similarity and finite time intermittent effects in turbulent sequences", Journal of Physics A: Mathematics and General (1996) 29:4425-4443
53. R. Lima and E. Ugalde, "On the Discrete Modelisation of Local Turbulence", Physica D (1996) 95:144-157
54. E. Ugalde and J. Urías, "Symmetry Groups of Automata", Physica D (1994) 70:178-184

Book

1. V. Afraimovich, E. Ugalde and J. Urías, Fractal Dimensions for Poincaré Recurrences, Monograph Series on Nonlinear Sciences and Complexity Volume 2, Elsevier 2006
2. 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

1. "Complexity as a mesure of paths to regularity". A. A. España. Doctor of Interdisciplinary Sciences UASLP 2023. Co-advisor: X. Leoncini, Aix-Marseille Université
2. "Models of Statistical Mechanics in Symbolic Dynamics". L. A. Corona. Doctor in Sciences UAEMor, 2022. Co-advisor: R. Salgado-García, UAEMor
3. "On concentration inequalities for equilibrium states in lattice and symbolic dynamical systems". J. Moles. Doctor of Interdisciplinary Sciences UASLP, 2021. Co-advisor: J.-R. Chazottes, École Polytechnique
4. "Projective Distance and g-Measures". L. P. Trejo. Doctor of Applied Scineces UASLP, 2016.
5. "Discrete-time Regulatory Networks". B. C. Luna. Doctor of Applied Science UASLP, 2009 .
6. "Urban segregation phenomena: a cellular automata approach". A. Aguilera. Doctor of Applied Sciences UASLP, 2007.
7. "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

1. "Monte Carlo with topological constraints". C. E. Salazar. Master of Applied Sciences UASLP, 2025. Co-advisor: A. Corona.
2. " Analysis of electroal preferences in Zacatecas". K. G. Orozco. Master of Applied Sciences UASLP, 2025. Co-advisor: A. España.
3. >"On the complexity of boolean networks". E. A. Zuñiga. Master of Science (Physics) UASLP, 2019. Co-advisor: J. Urías, UASLP
4. "An agent-based model for social uprising". A. A. España. Master of Interdisciplinary Sciences UASLP 2018.
   Co-advisor: A. Aguilera, COLSAN
5. "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
6. "Small World Phenomena in the C_n,φ Family of Graphs". A. Martínez. Master of Applied Sciences UASLP, 2016.
7. "Pattern formation in a model of reaction-diffusion with precipitation". B. A. Ponce. Master of Applied Sciences UASLP, 2014. Co-advisor: E. Pérez, UASLP
8. "Eulerian model for the agglomeration of spatially inhomogeneous colloidal systems". M. de A. Rodríguez. Master of Science (Physics) UASLP, 2013. Co-advisor: E. Pérez, UASLP
9. "Discrete-time quantum and classical random walks on graphs". M. A. Alvarado. Master of Science (Physics) UASLP, 2013.
10. "Nullity of the topological entropy of some piecewise-affine contractive maps". R. Chavira. Master of Applied Sciences UASLP, 2010.
11. "Study of the projective convergence of equilibrium measures on sysmbolic systems". C. A. Maldonado. Master of Applied Sciences UASLP, 2009.
12. "Stable synchronization in coupled map networks with symmetries". B. Luna. Master of Applied Sciences UASLP, 2006.
13. "Means' Equivalence without Ensembles' Equivalence". R. Moreno. Master of Applied Sciences UASLP, 2005.
14. "Self-similarity and Self-organized Criticality in Zhang's Model". S. Cá¡zares. Master of Applied Sciences UASLP, 2003.
15. "Modeling the urban growth in marginal zones". E. Castillo. Master of Applied Sciences UASLP, 2003. Co-advisor: A. Aguilera, COLSAN
16. "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
17. "Contributions to the Perron-Frobenius Theory". C. J. Rubio. Master of Applied Sciences UASLP, 2001.
18. "Synchronization of cellular automaton pairs". J. G. Sánchez. Master of Applied Sciences UASLP, 1999.
19. "Processing and transmission of fractal images". J. Rentería. Master of Applied Sciences UASLP, 1999.


e-mail: ugalde@ifisica.uaslp.mx

Updated, August 2026