Isaac Pérez Castillo Información de contacto Edificio Principal Marcos Moshinsky, Cubı́culo: 234, Instituto de Fı́sica, UNAM Circuito de la Investigación Cientı́fica, Ciudad Universitaria Delegación Coyoacán, C.P. 4510, Ciudad de México, México Postal Address: Instituto de Fı́sica, UNAM, P.O. Box 20-364, 01000 México, D.F. Voice: +52 (55) 56225000 (extension 2507) Fax: +52 (55) 56225015 E-mail: isaacpc@fisica.unam.mx WWW: http://scholar.google.co.uk/citations?user=58GAc80AAAAJ&hl=en Intereses en investigación educación universitaria y post-universitaria Vı́dreos de espı́n, redes neuronales, redes metabólicas, integrabilidad cuántica, matrices aleatorias, y cualquier tema que me resulte interesante. • Instituut voor Theoretische Fysica, Katholieke Universiteit Leuven, Belgium Doctorado en Fı́sica, Septiembre 2004, Tema de tesis: “The use of statistical mechanics in modelling disordered systems”. Supervisor: Desiré Bollé • Facultat de Fisica, Universitat de Barcelona, España. Licenciatura en Fı́sica, Junio 1999 Cargos académicos • Departamento de Sistemas Complejos, Instituto de Fı́sica, UNAM, México Investigador titular B (con PAIPA C y PEI), Noviembre 2013-actual • Department of Mathematics, King’s College London, United Kingdom Lector senior permanente en sistemas desordenados y complejos, Septiembre 2011 - Septiembre 2013 Lector junior permanente en sistemas desordenados y complejos, Enero 2007 - Septiembre 2011 • Dipartimento di Fisica (Gruppo VIM), Universita’ di Roma ”La Sapienza”, Italia Investigador asistente postdoctoral, Septiembre 2006 - Diciembre 2006 • Rudolf Peierls Centre for Theoretical Physics, Oxford University, Reino Unido Investigador asistente postdoctoral, Septiembre 2004 - Septiembre 2006 Responsabilidades académicas • Presidente de la Junta de examinadores de la maestrı́a de Complex Systems Modelling (2012/3, 2011/12, 2010/11) • Tutor de admisiones de la maestrı́a Complex Systems Modelling (2012/3, 2011/12, 2010/11) • Examinador externo de la maestrı́a de investigación Mathematics of Complex Systems, universidad de Aston (2012/3, 2011/2) • Tutor de admisiones de estudiantes de doctorado en el grupo de Sistemas desordenados (2010/11, 2009/10) • Presidente en funciones del la junta departamental de examinadores (2010/11,2009/10, 2008/9) • Análisis de la base de datos SITS para la progresión de estudiantes de carrera universitaria (2010/11, 2009/10, 2008/9) • Presidente de la junta de examinadores de la maestrı́a IPNN (2009/10, 2008/9) • Tutor de admisiones de la maestrı́a IPNN (2009/10, 2008/9) • Director de tercer año del programa de BSc y MSci en Matemáticas (2009/10) • Miembro del comité de enseñanza (2007/8) • Coordinador de la asignatura Research Methods and Advanced Topics in Complex System (2012/3) Responsabilidades educativas • Métodos numéricos (2012/3, 2011/2, 2010/1, 2009/10, 2008/9) • Análisis de equilibrio de sistemas complejos (2012/3, 2011/2) • Temas en Matemáticas/Probabilidad aplicada (Cadenas de Markov) (2010/1, 2007/8) • Métodos de investigación y temas avanzados en sistemas complejos (2010/1) • Mecánica estadı́stica en redes neuronales (2009/10, 2008/9, 2007/8) Estudiantes de doctorado • Francesco Alessandro Massucci. Septiembre 2008- Marzo 2012. Tesis: Applications of Statistical Mechanics to problems in Biology • Tim Rogers. Starting date: Septiembre 2007-Septiembre 2010. Tesis: New Results on the Spectral Density of Random Matrices Supervisión de proyectos Proyectos MSci: • Md Mojidur Rahman, Spectral Density of Sparse Symmetric Random Matrices (2009/10) • Zaffer Sheikh, Contour integral evaluation of ratio of theta functions by Ramanujan’s bilateral summation, (2009/10) Proyectos MSc: • Thomas Furmston, The Finitely Connected Hopfield Model (2007/8) • Kin Suen, Modelling Credit Risk in Heterogeneous Networks (2010/1) • Francesc Clos, Comparison of simulation techniques in a metabolic network models (2010/1) • Alexander Gates, Eigenvalue distributions of large Euclidean random matrices for waves in random media (2010/1) • Jiang Minchen, Dynamical Inverse problem in asymmetric diluted systems (2010/1) • Eveline Turturescu, Generalised Bethe approximation on Vertex models (2011/2) • April Lee, Mean Field Approximations (2011/2) • Dafni Karamanoli, Statistical Mechanics appproach to microRNA models (2012/3) Proyectos de verano para estudiantes en carrera universitaria: • Rupesh Vekaria, Emergence of skew distributions using microscopic models of evolving systems, verano 2011 • Rachel Lane, A Belief-propagation algorithm for metabolic networks, verano 2012 • Arun Kumar, Soft Glassy Rheology models, verano 2012 Organización de conferencias • Co-organizador de “Mini-Conference on Statistical Mechanics of Glassy and Disordered Systems”, 23-24 Mayo 2011 • Organizador de “Mini-Conference on Statistical Mechanics of Glassy and Disordered Systems”, 21-22 Mayo 2012 • Organizador de “Mini-Conference on Statistical Mechanics of Glassy and Disordered Systems”, 20-21 Mayo 2013 Invitación a impartir clases • Two techniques to tackle dynamics of diluted systems, Univerista di Roma la Sapienza, 9 & 10 Junio 2011. • Curso de doctorado Introduction to Information, Physics and Computation, Universita di Roma la Sapienza, 6-24 Mayo 2013. Seminarios • Statitical Mechanics approach to Metabolic Networks, invitado por el Departamento de Sistemas Complejos, Instituto de Fı́sica, UNAM, 17 Abril 2013. • Reunion Probability of N Random Walkers with mixed boundary conditions (a work in progress), seminario invitado para estudiantes de doctorado del Departamento de Fı́sica Teórica, Instituto de Fı́sica, UNAM, 16 Abril 2013. • Spectral Density of Sparse Random Matrices, seminario invitado en el Departamento de Sistemas Complejos, Instituto de Fı́sica, UNAM, 15 Enero 2013. • Large deviations of the smallest eigenvalue of the Wishart-Laguerre ensemble, seminario invitado en la universidad Queen Mary, 15 Marzo 2011. • The easiest hard problem, seminario invitado para el Cumberland Logde weekend, 19 Febrero 2011. • Large deviations of the smallest eigenvalue of the Wishart-Laguerre ensemble, seminario invitado en la universidad de Nottingham, 7 Febrero 2011. • Large deviations of the smallest eigenvalue of the Wishart-Laguerre ensemble, seminario invitado en el VI Brunel Workshop on Random Matrix Theory del 17-18 Diciembre 2010 en la universidad de Brunel • Spectral density of random graphs with topological constraints, en el Institute for Cross-Disciplinary Physics and Complex Systems, Palma de Mallorca, 11 Noviembre 2009 • Spectral Density of Sparse Random Matrices, en el Centre for Computational Science and Engineering, National University of Singapore, 17 Septiembre 2009 • Metabolic Fluxes in E. coli from a global optimisation principle, en el Centre for Computational Science and Engineering, National University of Singapore, 24 Septiembre 2009 • The easiest hard problem, conferencia para profesores de escuela, King’s College London, 30 Abril 2009 • The two-spinon transverse structure factor of the gapped Heisenberg antiferromagnetic chain, en el 13th Annual UK meeting on Integrable Models, Conformal Field Theory and Related Topics, Oxford, 4 of Abril 2009 • Cavity Approach to the Spectral Density of Sparse Symmetric Random Matrices, en el Kabashima Group, Department of Computational Intelligence and Systems Science,Tokyo Institute of Technology, 8 of Julio 2008 • The 2-Spinon Transverse Structure Factor of the Gapped Heisenberg Antiferromagnetic Chain, seminario invitado en el Hukushima Group, Department of Basic Science, University of Tokyo, 9 of Julio 2008 • Metabolic Fluxes in E. coli from a global optimisation principle, seminario invitado en el Nishimori Group, Department of Physics, Tokyo Institute of Technology, 14 Julio 2008 • The Von Neumann’s problem on metabolic networks, seminario invitado en la universidad Manchester, 31 Octubre 2007 Estancias académicas de corto y largo plaza • Andrea De Martino, University of Rome, La Sapienza 7-13 Junio 2011 • Centre for Computational Science and Engineering, National University of Singapore, 14-25 Septiembre 2009 • Kabashima Group, Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, Japan, 6-19 Julio 2008 • Andrea De Martino, University of Rome, La Sapienza 9-14 Diciembre 2007 • J.-S. Caux, University of Amsterdam, 22-16 Octubre 2007 Lista of Publicaciones La siguiente tabla resume el número de artı́culos por revista de investigación: Journal Name PNAS Phys. Rev. Lett. Phys. Rev. E Phys. Rev. B J. Phys A JSTAT arXiv (or to be submitted) Physica A J. Chem. Phys. BMC Systems Biology Macroeconomic Dynamics Metabolites Total Number of papers 1 2 6 1 8 7 3 1 1 1 1 1 33 Para tener una estimación actual del número de citas, recomendarı́a mirar en: http://scholar.google.co.uk/citations?user=58GAc80AAAAJ&hl=en Artı́culos en revistas: PrePrint or enviados 1. I. Pérez Castillo and T. Dupic, Reunion probabilities of N one-dimensional random walkers with mixed boundary conditions, arXiv:1311.0654 2. F. Font-Clos, F. A. Massuci, I. Pérez Castillo, A weighted message-passing algorithm to estimate volume-related properties of random polytopes, arXiv:1111.4841 3. F. A. Massucci, I. Pérez Castillo, C. Pérez Vicente, The Storm and Nelson’s model for polymer stretching revisited, arXiv:1006.2327 (2010) Artı́culos en revistas (tipo peer-review ): aceptados 1. I. Pérez Castillo, A. Pérez-Madrid, J. M. Rubı́, and G. Bossis, Chaining in magnetic colloids in the presence of flow, J. Chem. Phys. 113 (2000), 6443 2. D. Bollé, I. Pérez Castillo and G. M. Shim, Optimal capacity of the Blume-Emery-Griffiths perceptron, Phys. Rev. E 67 (2003), 036113 3. D. Bollé, Th. M. Nieuwenhuizen, I. Pérez Castillo and T. Verbeiren, A spherical Hopfield model, J. Phys. A 36 (2003), 10269 4. I. Pérez Castillo and N. Skantzos, The Little-Hopfield model on a random graph, J. Phys. A 37 (2004), 9087-9099 5. I. Pérez Castillo, B. Wemmenhove, J.P.L. Hatchett, A.C.C. Coolen, N.S. Skantzos and T. Nikoletopoulos, Analytic solution of attractor neural networks on scale-free graphs, J. Phys. A 37 (2004), 8789 6. A. De Martino, M. Marsili and I. Pérez Castillo, Statistical mechanics analysis of the equilibria of linear economies, J. Stat. Mech. (2004), P04002 7. D. Challet and I. Pérez Castillo, Optimal static and dynamic recycling of defective binary devices, J. Stat. Mech. (2004), P11003 8. J.P.L. Hatchett, B. Wemmenhove, I. Pérez Castillo, T. Nikoletopoulos, N.S. Skantzos and A.C.C. Coolen, Parallel dynamics of disordered Ising spin systems on finitely connected random graphs, J. Phys. A 37 (2004), 6201-6220 9. T. Nikoletopoulos, A.C.C. Coolen, I. Pérez Castillo, N.S. Skantzos, J.P.L. Hatchett and B. Wemmenhove, Replicated transfer matrix analysis of Ising spin models on ‘small world’ lattices, J. Phys. A 37 (2004), 6455-6475 10. N. S. Skantzos, I. Pérez Castillo and J. P. L. Hatchett, Cavity approach for real variables on diluted graphs: application to XY spin systems on small world lattices, Phys. Rev. E 72 (2005), 066127 11. C. V. Giuraniuc, J. P. L. Hatchett, J. O. Indekeu, M. Leone, I. Pérez Castillo, B. Van Schaeybroeck, and C. Vanderzande, Trading interactions for topology in scale-free networks, Phys. Rev. Lett. 95 (2005), 098701 • Commentary on this paper appearing in Physics News Update, Number 742, Story #2 (2005). 12. D. Bollé and I. Pérez Castillo, Optimal capacity in the diluted Blume-Emery-Griffiths neural network, Physica A 349 (2005), 548-562 13. I. Pérez Castillo and D. Sherrington, On exact mappings between fermionic Ising spin glass and classical spin glass models, Phys. Rev. B 72 (2005), 104427 14. A. C. C. Coolen, N.S. Skantzos, I. Pérez Castillo, C.J. Pérez Vicente, J.P.L. Hatchett, B. Wemmenhove and T. Nikoletopoulos, Finitely connected vector spin systems with random matrix interactions, J. Phys. A 38 (2005), 8289-8317 15. J. P. L. Hatchett, I. Pérez Castillo, A. C. C. Coolen, N. S. Skantzos, Dynamical replica analysis of disordered Ising spin systems on finitely connected random graphs, Phys. Rev. Lett. 95 (2005), 117204 16. C. V. Giuraniuc, J. P. L. Hatchett, J. O. Indekeu, M. Leone, I. Pérez Castillo, B. Van Schaeybroeck, and C. Vanderzande, Criticality on networks with topology-dependent interaction, Phys. Rev. E 74 (2006), 036108 17. D. Challet, A de Martino, M. Marsili and I. Pérez Castillo, Minority games with finite score memory, J. Stat. Mech. (2006), P03004 18. A. De Martino, M. Marsili and I. Pérez Castillo, Typical properties of large random economies with linear activities, Macroeconomic Dynamics (2007), 1 19. A De Martino, I. Pérez Castillo, D. Sherrington, On the strategy frequency problem in batch minority games, J. Stat. Mech. (2007), P01006 20. A De Martino, C. Martelli, R. Monasson, I. Pérez Castillo, Von Neumann’s expanding model on random graphs, J. Stat. Mech. (2007), P05012 21. T. Rogers, K. Takeda, I. Pérez Castillo, R. Kühn, Cavity approach to the spectral density of sparse symmetric random matrices, Phys. Rev. E 78 (2008), 031116 22. J.-S. Caux, J. Mossel, I. Pérez Castillo, The two-spinon transverse structure factor of the gapped Heisenberg antiferromagnetic chain, J. Stat. Mech. (2008), P08006 • Commentary on this paper appearing in News and Perspectives: R. Weston Quantum integrability in the lab, J. Stat. Mech. N11001 (2008) 23. T. Rogers and I. Pérez Castillo, Cavity approach to the spectral density of non-Hermitian sparse matrices, Phys. Rev. E 79 (2009), 012101 24. C. Martelli, A. De Martino, E. Marinari, M. Marsili, I. Pérez Castillo, Identifying essential genes in E. coli from a metabolic optimization principle, Proc Natl Acad Sci 106 (2009), 2607 25. T. Rogers, C. Pérez Vicente, K. Takeda, I. Pérez Castillo, Spectral density of random graphs with topological constraints, J. Phys. A 43 (2010), 195002 26. E. Katzav and I. Pérez Castillo, Large Deviations of the Smallest Eigenvalue of the WishartLaguerre Ensemble, Phys. Rev. E 82 (2010), 040104(R) 27. H. Mohd Ramli, E. Katzav, I. Pérez Castillo, Spectral Properties of the Jacobi Ensembles via the Coulomb Gas approach, J. Phys. A: 45 (2012) 465005 28. F. Font-Clos, F. A. Massucci, I. Pérez Castillo, A weighted belief-propagation algorithm to estimate volume-related properties of random polytopes, J. Stat. Mech. (2012) P11003 29. F. A. Massucci, F. Font-Clos, A. De Martino, and i. Pérez Castillo, A novel methodology to estimate metabolic flux distributions in constraint-based models, Metabolites 3 (2013), 838-852 30. F. A. Massucci, M. Di Nuzzo, F. Giove, B. Maraviglia, I. Pérez Castillo, E. Marinari, and A. De Martino, Energy metabolism and glutamate-glutamine cycle in the brain: a stoichiometric modeling perspective, BMC Systems Biology 7 (2013), 103