LA UNIVERSIDADFACULTADESPROFESORESINVESTIGACIÓNBIBLIOTECAFINANZASDEPORTESVIDA UNIVERSITARIAEGRESADOSRELACIONES INTERNACIONALES
PROFESORES
Eric Goles Chacc

Doctor en Ingeniería, (1980) Universidad de Grenoble, Francia. Doctor de estado en Matemáticas, (1985) Universidad de Grenoble, Francia.

Facultad
Profesor Titular, Facultad de Ingeniería y Ciencias. Miembro del Comité de Jerarquización de la Facultad de Ingeniería y Ciencias.

Nacionalidad
Chilena

Áreas de Especialización
Matemáticas Discretas Informática Teórica



Biografía

Mención Honrosa, Premio OEA, Manuel Noriega Morales (1986). Miembro de Número de Academia de Ciencias (1990). Premio Manuel Montt (1991) por obra “Neural and Autómata Naturales". Premio Nacional de Ciencias Exactas (1993). BIOSFELLOW (Miembro del Comité Científico) Bios Group Company, Santa Fe, USA, 1999. Premio “Personalidades Distinguidas”, Universidad del Pacífico, Octubre 2000. 'Ordem do Rio Branco Grau de Comendador', Gobierno de Brasil (2002). Investigador Asociado a ATENEO Instituto Politecnico de Torino – Italy (2004). Miembro Comité Cientìfico de la Alta Scuola Politecnica ASP (Milan, Turín, 2005). Miembro del Equipo de Expertos de La École Polytechnique Féderale de Lausanne – EPFL’s “International Sientific Advisory Board”. (Lausanne, Switzerland, 2006). Autor de cinco libros y, aproximadamente, 120 publicaciones internacionales.

Publicaciones

  1.    Periodic behavior of generalized threshold functions, in Discrete Math., 30, 1980 (with J. Olivos).
2.    Comportement itératif des fonctions a multiseuil, in Inf. and Control, 45, 1980 (with J. Olivos).
3.    Irerations des fonctions á seuil sur un graphe, in Actes Coll. Cerisy, 'Regards sur la Théorie   des Graphes',Presses Pol. Romandes, 1980 (with J. Olivos).
4.    Etude dynamique des certains modéles de controle génetique, in Journal de Biometrie et Génétique, J.M. Legay et. al. eds., 1980 (with Snoussi E.).
5.    Comportement periodique des fonctions á seuil binaires, in Disc. Applied Math 3,1981 (with J.Olivos).
6.    The convergence of symmetric threshold automata, in Inf. and Control, Vol. 51, Nov. 1981 (with   J.Olivos).
7.    A Short proof on the cyclic behaviour of multithreshold symmmetric automata, in Inf. and Control, Vol. 51. 1981, pp. 95 97 (with S. Martínez).
8.    Sequential iteration of threshold functions, numerical method in the study of critical phenomena, Del¬adora et. Al. eds., Springer Series in Synergetics, pp. 64 70, Springer Verlag, 1981.
9.    Fixed point of threshold functions on a finite set, in SIAM Journal on Algebraic and Discrete Vol. 3. No. 4. 1982.
10.    Specific  roles  of  different  Boolean  mappings  in random  networks, in Bull. of Math. Biol., Vol. 44,  1982 (with  Fogelman, G. Weisbuch)
11.    Iterative behaviour of generalized majority functions,  in Math.Social Sciences, 4, 1983 (with M.Tchuente).
12.    Transsient length in sequential interations of threshold functions, in Disc. Applied Maths., 6, 1983 (with F.Fogelman, G.Weisbuch).
13.    Iterative behavior of one dimensional threshold automata, in Disc. Applied Maths., 8, 1984 (with M.Tchuente).
14.    Dynamique  d’un automata a mémoire modélisant le fonctionnement d'un neurone, Comptes   Rendues Acad. Sciences  France, t299, Série I, No. 10, 1984 (with M. Cosnard, presented by R.Thom).
15.    Dynamical behavior of neural networks, in SIAM Journal on Alg.and Disc. Meths., Vol. 6, No. 4, 1985.
16.    Erasing multithreshold automata in Dynamical Systems and Cellular Automata, Demongeot et. al. Eds., Acad. Press 1985. pp. 47 55 (with M. Tchuente).
17.    Dynamics on positive automata networks, in Theoretical Computer Sciences, 41 pp. 19 32, 1985.
18.    Comportement dynamique d'un automate á mémoire, in Actes Coll. Biol. Théorique, Solignac, Eds. CNRS. 1985 (with M. Cosnard).
19.    The energy as a tool for  the study of threshold networks, in Discrete Applied Maths., 12, pp 261 277,1985 (witil F. Fogelman,                           
20.    Dynamical properties of an automaton with memory, in Procc. Of  “Disordered systems and Biol. Or¬ganization”  Biennestock et. al. eds. (with M. Cosil ard) NATO, ASI series in Computer and Systems Science. Vol. 20, Springer Verlag, pp. 63 66, 1986.
21.    Positive automata networks, invited paper, in The Winter School Disordered Systems and Biological  Organization at Les   Houches, Biennenstock et. al. eds., NATO Series in Computer Sciences, Vol. 20,   Springer Verlag, pp.  101 112, 1986.
22.    Knowledge representation by automata networks, in Computers and Computing, P. Chenin et. al. eds., Wiley-Masson, 175 180, 1986 (with F. Fogelman).
23.    Invariants  in automata networks, in J. Phys. A. Math. Gen., 19 L961 L965, 1986 (with G. Vichniac).
24.    Lyapunov functions for parallel neural networks, R.R. M.I.T. Lab. for Computer Sciences, in 'Neural Networks for Computing', J.S. Denker ed. Am. Inst. Phys., 165 181, 1986 (with G. Vichniac).
25.    Antisymmetrical neural networks, in Discrete Applied Maths., 13, 97 100, 1986.
26.    Performance of an asynchronous pipeline array of automata, in Math. Soc. Sci., 14, 39 49, 1987 (with Shako, M. Tchuente).
27.    The 3x + 1 problem: A quasi cellular automaton, in Complex Systems, 1, 349 30, 1987 (with G.  Vichniac).
28.    Properties on positive functions and the dynamics of associated automata networks, in Discrete Applied Maths., 18, 39 46, 1987 (with S. Martínez).
29.    Lyapunov functions associated to automata networks, Chapter of the book Automata Networks and  Applications, Manchester Univ. Press, Non Linear Systems Series, pp. 58 81 (F. Fogelman et. al.eds.),1987.
30.    Threshold networks and generalisations, invited paper, in Procc. de la 17ème Ecole Francaise de  Informatique ¬Theorique, Lectures Notes in Computer Sciences, No.316, C. Choffrut ed., Springer Verlag,  1987.
31.    Analysis of Marr-Poggio's stereo algorithm, in Procc. Cognitiva 87, CESTA eds. Paris, 401 404,   1987  (with E. Sepúlveda).
32.    Difurcation structure of a discrete neuronal equation, in Disc. Applied Maths, 21, 21 34, 1988 (with M. Cosnard, D. Moumida).
33.    Dynamical behaviour of a neural automaton with memory, in Complex Systems, 2, 161 176, 1988 (with M. Cosnard,  D. Moumida, T. de Saint Pierre).
34.    Decreasing energy functions and lenghts of transients for some cellular automata, in Complex Systems, 2,5 501 508. 1988 (with A.M. Odlyzko).
35.    Redes de autómatas, dinámica y aplicaciones, in Rev. Mat. Apl., 77 89, 1988.
36.    The one distribution of Gibbs states on Bhete lattice are probability vectors of period < 2 for a nonlinear transformation in J. of Statistical Physics, Vol. 52, No. 1/2, 267 285, 1988 (with S. Martínez).
37.    Dynamical neural schema for quadratic optimization problems, in Procc. of the INNS  Meeting, Boston, 1998, in  Networks,  Vol. 1, 96, 1988 (with G. Hernández, M. Matamala).
38.    Periodic behaviour of one and two dimensional neural networks, in Procc. of the INNS Meeting, Boston, 1988, in Neural  networks, Vol. 1,97, 1988.
39.    Cellular automata, dynamical and complexity,  in Procc. Workshop Cellular Automata Modeling of Complex Physical Systems, Les Houches, Manneville et. al. eds., Procc. in Physics 46, Springer Verlag, 1989.
40.    Potts model automata networks, in Instabilities and Nonequilibrium Structures II, pp. 89 96, Tirapegui E. and Villarroel eds, D. Reidel Publ  1989.
41.    Complexity and Dynamics of neural networks, in Disordered Systems and Biological Models, World Scientific L. Peliti ed., 1 21. 1989.
42.    Cellular automata, dynamics and complexity, in Cellular Automata Applications in Physical Chemistry R. Dagonnier  et. al.   eds., Mons University, Belgium, June 1989.
43.    Energy functions in  neural networks with continuous local functions, in Complex System, Vol. 3,  269 293, 1989 (with F. Fogelman, S. Martínez, C. Mejia).
44.    Energy and atracctors in parallel Potts dynamics, in J. Phys. A: Math Gen. 1989 (with G. Vichniac).
45.    Local graph transformation driven by Lyapunov functionals, in Complex Systems, Vol. 3, Number 2,173  184, 1989.
46.    Exponential  transient classes of symmetric neural networks for synchronous and sequential updating, in Complex Systems, Vol 3, 6, 589 597, 1989 (with S. Martínez).
47.    Neural networks dynamics, in Neurocomputing, F. Fogelman et. al. eds., NATO ASI Series, Vol. 68, pp. 93 102, Springer Verlag, 1990.
48.    Lyapunov functionals for automata networks defined by ciclically monotone functions, in SIAM J.  on Discrete Math., Vol. 4, Nº 2, pp. 200 206, 1991 (with S. Martínez).
49.    Sand piles, combinatorial games and cellular automata, in Instabilities and Non Equilibrium Structures III. E. Tirapegui, ed., Kluwer Pub., Holland, pp. 101 121, 1991.
50.    Sequential aud parallel dynamics complexity in automata networks, in Rev. Mat. Aplic., 12, 103-106,      1991.
51.    One dimensional sand piles, cellular automata and related models, in Procc. of Int. Conf. in Non Linear Phenomena, Elsevier, P. Cordero et. al. eds., pp. 169 185, 1991 (with M.K.Kiwi).
52.    Parallel chip firing games on graphs, in Theor. Comp. Sci., 92, 291 300, 1992 (with J. Bitar).
53.    Sand pile automata, in Ann. Inst. Henri Poincaré, Vol. 56, Nº 1, pp. 75 90, 1992. (with M. K. Kiwi).
54.    Automata Networks and Optimization, in Information Processing letters 42, 339-343, (1992) (with S. Martinez).
55.    Automata networks strategies for optimization problems, in Automata Networks, Dynamical Systems and Statistical Physics, pp. 65 87, Kluwer Pub., 1993 (with S. Martínez).
56.    On the limit set of some universal cellular automata, in Theoretical Computer Sciences, 110, pp. 53 78, 1993 (with S. Martínez, A. Maass).
57.    Local extremal rules and Potts automata, in instabilities and non equilibrium structures IV, E. Tirapegui et. al. (eds), Kluwer Pub., 1993 (with G. Hernández).
58.    Extremal automata for image sharpening, pre print HLRZ, Julich 1993, in Journal of Modern Physics C  (with G. Hernández and H. Herrmann), 1993.
59.    Lyapunov functionals  associated to automata, in CA and Cooperative Systems, NATO ASI Series, Springer-Verlag Vol. 396 pp. 203 210, Boccara et. al. eds., 1993.
60.    Sand-Pile dynamics in a one dimensional bounded lattice, in CA and Cooperative Systems, NATO ASI Series, Springer Verlag, Vol. 396. pp. 211 225, Boccara et. al. eds., 1993.
61.    Computing complexity of symmetric quadratic neural networks, in Procc ICANN'93, Int. Conf. Artif. Neural Networks, pp. 677, Springer Verlag (1993) (with M. Matamala).
62.    Discrete-parallel sequential update of neural networks with adapting synapses, in Procc. IJCNN'93,
63.    International Joint  Conf. Neural Networks, Vol. 3, pp. 2371 74 (1993).
64.    Complexity of block-sequential update for symmetric neural networks, in Procc. IJCNN'93, Vol. 2, pp. 1469-72 (1993) (with M. Matamala).
65.    Lyapunov operators to study  the convergence of extremal  automata, in Theor.Comp. Sci., 125, pp.  329-337 (1994).
66.    Dynamical and complexity results for high  order neural networks, Int.Journal of Neural Systems, Vol. 5(3), pp 241 252 (1994) (with M. Matamala).
67.    No Polynomial bound for the period of the parallel chip firing game on graphs, Theor, Comp. Sci.,    136, pp. 527-532  (1994) (with M.A. Kiwi, R. Ndoundam, M. Tchuente).
68.    Energy functionals for neural networks, invited survey to the Handbook of Brain Theory and Neural       Networks edited by     M.A. Arbib, Bradford books, M.I.T. Press, 1995.
69.    Cyclic automata networks on finite graphs, Lecture Notes in Computer Science, 911,  Springer Verlag, R.Baeza-Yates et al eds., pp. 398 410 (1995) (with M. Matamala). 
70.    A characterization of the existence of energies for neural networks, in 22nd International Colloquium on Automata Languages and Programming, Lecture Notes in Computer Sciences, Springer Verlag (1995) (with M. Cosnard).
71.    On line coarse ore  granulometric analyzer using neural networks, in Proc. of IJCNN, Paris, October 1995 (with R. Fernández, E. Viennet, R. Barrientos, M. Telias).
72.    Reaction-diffusion automata: three states implies universality, in Theory of Computing Systems, 30, 223 229 (1997) (with M. Matamala).
73.    Dynamics  behavior of cyclic automata networks, in Disc. Appl. Maths. 77,  2, 161-184 (1997) (with M. Matamala).
74.    Discrete State Neural Networks and Energies, in Neural Networks, Vol. 10, N°2, pp 327-34 (1997) (with M.   Cosnard).
75.    Symmetric discrete universal neural networks, Theor. Comp. Sci., 168, 405 416 (1996) (with M. Matamala).
76.    Universality of the chip firing game on graphs, Res. Rep., LITP U. Paris VII, 1995, Theor. Comp. Sci., 172, pp 121 134, 1997 (with M. Margenstern).
77.    Sand-pile as a universal computer, J. of Modern Phys.   C, 7(2) 113 122 (1996) (with M.  Margenstern).
78.    Source reversal and chip firing, in Theor. Comp. Sc., 233, pp. 287 295 (2000) (with E. Prisner).
79.    Complexity of tile rotation problems, in Theor. Comp. Sc., 188, pp. 129 159 (1997) (with I. Rapaport).
80.    Uniform Simulations of Turing Machines by Cellular Automata, in Cellular Automata and Complex Systems,  pp.23-36, Kluwer (1999) (with M. Matamala). 
81.    Tiling allowing rotations only, Theor. Comp. Sci. 218 (1999), 285-95 (with I. Rapaport).
82.    Dynamical behavior of Kauffman networks with and or gates, in Biol. Systems, Vol. 8 N° 2, pp. 151-175  (with G. Hernández), (2000).
83.    The canonical  folding, in Procc of Int. Conf. on Mathematics and Design ‘98, pp. 523-534. San Sebastian, Spain, 1998 (best paper award).
84.    Simple lattice model with inertia for sand piles, in Granular Matter,  1, pp. 137-140 Springer Verlag   (1998) (with G. González, H. Herrmann and S. Martínez).
85.    Dynamical Properties of Min Max networks, Vol. N° 6 467-473  Int. Journal of Neural Systems (with M.  Matamala, P.Estévez). (2000)
86.    A biological generator of prime numbers, in Nonlinear Phenomena in  Complex Systems Vol., 3, Nº2, pp 208-213, (2000) (with M. Markus, M. Schick).
87.    Sand Piles and order structure of integer partitions, to appear in Discrete Applied  Maths., (2001)  (with M. Morvan. Ha Duong Phan).
88.    Lattice structure and convergence of a game  of cards,  to appear in Annals of Combinatorics (2001) (with Ha Duong Phan, M. Morvan).
89.    Classification of defects on wood boards based on neural networks and genetic selection of features,  IIIS World Multiconference on Systemics Cyibernetics and Informatics,  (SCI’98), Orlando USA, July 1998,, Vol. I, pp.624-629 (with P. Estévez, C. Pérez  Caballero. G. Buliler).
90.    The structure of Linear  chip firing games and related models, to appear in Theor. Comp. Science, (2000) (with M. Morvan, H.D.Phan)
91.    Shell structures with magic numbers of spheres in a swirled dish,  Phys. Review E., Vol. 60, N° 6,   7182-85 (with K. Kotter, M. Markus) (1999).
92.    Tiling with bars under tomographic contraints, Theorical Computer Sciences 290 (2003) 1317-29 (with  I.  Rapaport, Ch. Durr, E. Remila).
93.    Complexity of Perceptron Recognition for a Class of Geometric Patterns, Theorical Computer Sciences, 299, pp 65-79, (2003) (with J. Aracena).
94.    Intermingled basins due to finite accuracy, Phy. Rev. E. Vol. 62, N° 1, pp 397-401, (2000) (with M. Schmick, M. Markus).
95.    Complexity of Langton’s Ant, Discrete Applied Mathematics. Vol. 117, Issue 1-3, pp. 41-50, (with A. Gajardo, A. Moreira). (2002)
96.    Generalized Langton’s Ant: Dynamical Behavior and Complexity, STACS’2001 Lectures Notes in Comp. Sci. 2010, pp.259-70. (with A. Gajardo, A. Moreira). (2001)
97.    Dynamical Behavior and Complexity of Langton’s Ant,  in Complexity, Vol.6 ,N°4, pp 46-51  (2001), (with A.   Moreira and A. Gajardo).
98.    A note about Braess Paradox via local Distributed Algorithm bases on autonomous agents, send to Transportation Science, (2000), (with A. Jofré, J. Becerra).
99.    Swirling granular solidlike clusters, Phys. Rev. E 61, 4069 (2000) (with M. Scherer, K. Koetter, M.    Markus, and I. Rehberg).
100.    Self-organization of interacting, round particles into symmetric or asymmetric aggregates", in:   'Symmetry 2000' (I. Hargittai & T. Laurent, eds.), Portland Press, London, pp 377-384, (2002)  (with M. Markus, K. Koetter, M. Schmick and  M. Grewe).
101.    Prime number selection of cycles in a predator-prey model,  Complexity, Vol. 6, Nº4, 33-38, (2001) . (with M. Markus).
102.    Cicadas showing up every prime number of years, The Math. Intelligencer, Vol.24, N°1, pp.30-32 (with M. Markus). (2002).
103.    Prey population cycles are stable in an evolutionary model if and only if their periods are prime,  Science Asia 28 (2002): 199 - 203 (with M. Markus, O. Schulz).
104.    Universal Cellular Automaton Over a Hexagonal Tiling with 3 States. International Journal of Algebra   and Computation, Vol. 11 (3), pp 335-354. (2001). (A.Gajardo)
105.    About the Dynamics of Some Systems Based on Integer Partitions and  Compositions (Eric Goles, Michel Morvan and Ha Duong Phan). LNCS issue,  proceedings of FPSAC2000. 214-225. 12 pages.
106.    Sand piles models and discrete ordred structures. (Eric Goles, Michel Morvan and Ha Duong Phan). In International Conference of Combinatorics and Physics, Los Alamos, New Mexico, August, USA, 1998. 11 pages.
107.    Positive and Negative Circuits in Discrete Neural Networks, in IEEE Transactions on Neural Networks 15 (1), pp 77-83, (2004) (with J.Aracena, J.Demongeot).
108.    On limit Cycles of Monotone Functions with Symmetric Connection Graph, in Theorical Computer Sience , vol. 323, number 2, pp. 231-244  (with J.Aracena, J.Demongeot). (2004).
109.    Fixed Points and Maximal indepent sets on AND-OR Networks, in Discrete. Appl. Math.  138 (3), pp 277-288,(with J.Aracena, J.Demongeot ). (2004)
110.    Genetic Input Selection to a Neural Classifier  for Defect Classification of Radiata Pine Boards, Forest Products Journal, Vol. 53, No. 7/8, July/August 2003, pp. 87-94.
111.    On - off intermittency and intermingled-like basins in a granular medium, in Phys. Rev. E., 66, 0606214/1-4 (2002) (with M. Markus, M. Schmick).
112.    Frieze-generation using artificial life, in 'Isama-Bridges'. (Ed. by J. Barrallo, N. Friedman, R. Sarhangi, C. Séquin, J. Martínez and J.A. Maldonado), 151-160, University of Granada (2003).  (with M .Markus, D. Fischer). (2003).
113.    Folding and Tiling, in Teor.Comp. Sci.  Vol. 322, number 2, pp. 285 – 296 (2004).
114.    Control of Turbulence: determination of the minimun pinning distance from the spatial measure entropy, to appear in Physical Review E. (with A. Greilich and M. Markus). (2004).
115.    Dynamics of a class of ants in a one dimensional lattice  in Theorical Computer Science, vol. 322, number 2, pp. 267-283. (with A. Gajardo). (2004).
116.    On conservative and monotone one-dimensional cellular automata and their particle representation, Theorical Computer Science Vol. 325, N°2, pp 285-316) . (with A. Moreira, N.Boccara). 2004.
117.    Program size complexity of self-assembled rectangles: constant and variable temperature, submitted to DNA- computing, (with I. Rapaport, C. Rojas). (2004).
118.    San Piles Models and lattices: a comprensive survey, Theor. Comp. Science, vol. 322, number 2, pp. 383-407 (with  M. Latapy, C. Magnier, M.Morvan, H,D. Phan). (2004).
119.    Emergence of Prime Numbers as the Result of Evolutionary. Physical Review Letters, (Note) PRL 95, 22980. (with M.Markus). (2005).
120.    Tracks Emerging by Forcing Langton´s Ant with binary sequences, to appear in Complexity. ( with M.Schmick, M. Markus). (2006).
121.    Hierarchy of Cellular Automata in relation to control or anticontrol, in Complexus Mundi: Emergent patterns in  nature,  Miroslav M. Novak ed., pp 297-304 World Scientific (2006) (with M.Markus and M. Schmick)
122.    Crosing Information in Two Dimensional Sanpiles, to appear in Theor. Comp. Science. (2006), (with A.Gajardo).
123.    La pinture Impossible, Procc. Colloque de Cerisy, “autour de Henri Atlan”, P. Bourgine ed. (2006), to appear.
124.    A note about Braess Paradox via local Distributed Algorithm bases on autonomous agents, submitted to    Transportation Science, (2006 (with A. Jofré, J. Becerra).    
125.    A discrete mathematical model applied to Genetic Regulation and Metabolic Networks. J. of Microbiology and Biotechnology. (with Asenjo, J.A., Ramirez. P., Rapaport, I., Aracena, J., Goles E., and Andrews, B.A.), (2007)       (to appear).
126.    Comparison between parallel and serial dynamics of boolean networks, to appear in Theor. Comp.  Sciences (2008),    (with L. Salinas).
127.    The underlying optimal protocole of cellular automaton rule 218, send to ICALP(2008) with I Rapaport, C  Little 
128.    Covering by squares, to appear in Theor Comp. Science (2008), with L. Salinas
129.    Dynamical Complexity in Cognitive networks, to appear in Biol Research (2008), with A. Palacios
       1.    Neural and Automata Networks: Dynamical Behaviour and its Applications, Serie: Mathematics and Its Applications, Kluwer Pub. Co., 250 pp, Marzo 1990 (first edition), 1991 (second edition) (prize M. Montt) (with S. Martínez).
2.    Algebra, Ed. Pedagógicas (Chile), 450 pp. (1993). Also edited as textbook at the School of Engineering, U. of  Chile, 1990. It is the official text at our school (from 1990) and it is also used in several national universities.



 
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