Isaac Pérez Castillo

isaacpc@fisica.unam.mx

External Fellow

In broad terms, my research is about the emergence of macroscopic behaviour from microscopic models. Techniques, mathematical tools and concepts from Statistical Mechanics can be broadly applied to various areas, from Random Matrix Theory to Economy, to Biology, etc.

Website: https://scholar.google.com.mx/citations?hl=en&user=58GAc80AAAAJ&view_op=list_works&sortby=pubdate

Positions Held

  • 2013 – present — Associate Professor at Department of Complex Systems, Institute of Physics, UNAM
  • 2016 – present — External fellow, London Mathematical Laboratory
  • 2011 – 2013 — Senior Lecturer of Complex and Disordered Systems, King’s College London
  • 2007 – 2011 — Lecturer of Complex and Disordered Systems, King’s College London
  • 2006 – 2006 — Postdoctoral research associate, Universita di Roma, La Sapienza
  • 2004 – 2006 — Postdoctoral research associate, Rudolf Peierls Centre for Theoretical Physics, University of Oxford
  • 2000 – 2004 — PhD Physics, Katholieke Universiteit Leuven

Prizes, awards and distinctions

  • 2017 – Principal Investigator: Project DGAPA-PAPIIT-IIA103417, UNAM (104,999.00 M.N.), Aplicaciones interdisciplinarias de la física estadística; desde inferencia Bayesiana a la teoría de reconstruccción de imágenes, México.
  • 2014 —Award Jorge Lomnitz Adler in non-linear dynamics and complex systems, given  by IFUNAM  and Mexico Academy of Sciences.
  • 2015 – present —Distinction from the National Systems of Researchers (SNI), level II, from January  2015
  • 2014 – present — Distinction PRIDE, level B
  • 2013 – 2014 — Distinction PAIPA, level C

Selected Publications

  • F. L. Metz and I. Pérez Castillo, Level compressibility for the Anderson model on regular random graphs and the absence of non-ergodic extended eigenfunctions (PRL) (2016)
  •  Rafael Díaz-H.R., Aldo Solís, Alí M. Angulo Martínez, Alfred B. U’Ren, Jorge G. Hirsch, Matteo Marsili, Isaac Pérez Castillo, Improving randomness characterization through Bayesian model selection,  arXiv:1608.05119,  (Nature Scientific Reports) (2016).
  • F. L. Metz and I. Perez Castillo, Large deviation function for the number of eigenvalues of sparse random graphs inside an interval, Phys. Rev. Lett. 117 (2016) 104101
  • Rafael Diaz-H.R., Aldo Solis, Ali M. Angulo Martinez, Alfred B. U’Ren, Jorge G. Hirsch, Matteo Marsili, Isaac Perez Castillo, Improving randomness characterization through Bayesian model selection, arXiv:1608.05119
  • J. Pedro Jerico, F. P. Landes, M. Marsili, I. Perez Castillo and V. Volpati ,\When does inequality freezes an economy? (2016), JSTAT (2016) 073402
  • C. Martelli, A. De Martino, E. Marinari, M. Marsili, I. Perez Castillo, Identifying essential genes in E. coli from a metabolic optimization principle, Proc Natl Acad Sci 106 (2009), 2607
  • T. Rogers, K. Takeda, I. Perez Castillo, R. Kuhn, Cavity approach to the spectral density of sparse symmetric random matrices, Phys. Rev. E 78 (2008), 031116
  • J.-S. Caux, J. Mossel, I. Perez Castillo, The two-spinon transverse structure factor of the gapped Heisenberg antiferromagnetic chain, J. Stat. Mech.  (2008), P08006
  • J. P. L. Hatchett, I. Perez 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
  • C. V. Giuraniuc, J. P. L. Hatchett, J. O. Indekeu, M. Leone, I. Perez Castillo, B. Van Schaeybroeck, and C. Vanderzande, Trading interactions for topology in scale-free networks, Phys. Rev. Lett. 95 (2005), 098701
  • J.P.L. Hatchett, B. Wemmenhove, I. Perez 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
  • T. Nikoletopoulos, A.C.C. Coolen, I. Perez 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