prof. dr. R. (Roberto) Fernandez
R.Fernandez1@uu.nl
Gegenereerd op 2017-06-29 12:51:30


Chair
Stochastics
Profile

My main field of research is mathematical statistical mechanics (classical and quantum). In this field I have worked on rigorous determination of critical exponents, non-Gibbs phenomena, uniqueness criteria, convergence of cluster expansions and quantum phase diagrams. I also work in the theory of stochastic processes, with emphasis in chains with long memory. Other topics include perfect simulation algorithms, cutoff and escape behavior in Markov processes and applications of stochastic processes to biological processes and language acquisition.

  • John Simon Guggenheim Memorial Foundation Fellowship, 1993-1994
Gegenereerd op 2017-06-29 12:51:30
All publications
  2016 - Scholarly publications
Fernandez, R., Manzo, F., Nardi, F. R., Scoppola, E. & Sohier, J. (01.04.2016). Conditioned, quasi-stationary, restricted measures and escape from metastable states. Annals of Applied Probability, 26 (2), (pp. 760-793) (34 p.).
Diez, Javier A., González, Alejandro G. & Fernández, Roberto (15.01.2016). Metallic-thin-film instability with spatially correlated thermal noise. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 93 (1) (12 p.).
  2015 - Scholarly publications
Fernandez, R., Manzo, F., Nardi, F.R. & Ecoppola, E. (2015). Asymptotically exponential hitting times and metastability: a pathwise approach without reversibility. Electronic Journal of Probability, 20 (122), (pp. 1-37) (37 p.).
  2014 - Scholarly publications
Fernández, R., Martínez, J. & Hollander, F. den (2014). Variational description of Gibbs-non-Gibbs dynamical transitions for spin-flip systems with a Kac-type interaction. Journal of Statistical Physics, 156 (2), (pp. 203-220) (18 p.).
  2013 - Scholarly publications
Fernandez, R., den Hollander, F. & Martinez, J. (2013). Variational description of Gibbs-non-Gibbs dynamical transitions for the Curie-Weiss model. Communications in Mathematical Physics, 319, (pp. 703-730) (28 p.).
  2011 - Scholarly publications
Bissacot, R., Fernandez, R., Procacci, A. & Scoppola, B. (2011). An Improvement of the Lovász Local Lemma via Cluster Expansion. Combinatorics Probability and Computing, 20, (pp. 709-719) (11 p.).
R. Fernández, S. Gallo, Maillard, G. & Fernandez, Roberto (2011). Regular $g$-measures are not always Gibbsian. Electronic Journal of Probability, 16 (paper 64).
  2010 - Scholarly publications
Fernandez, R., Bissacot, R. & Procacci, A. (2010). On the convergence of cluster expansions for polymer gases. Journal of Statistical Physics, 139, (pp. 598-617) (20 p.).
Fernandez, R. & Deveaux, V. (2010). Partially ordered models. Journal of Statistical Physics, 141, (pp. 476-516) (40 p.).
  2009 - Scholarly publications
Bertoncini, O., Barrera, M. & Fernandez, R. (2009). Abrupt convergence and escape behavior for birth and death chains. Journal of Statistical Physics, 137 (4), (pp. 595-623) (29 p.).
Fernandez, R., Fontes, L.R. & Neves, E.J. (2009). Density-profile processes describing biological signaling networks: almost sure convergence to deterministic trajectories. Journal of Statistical Physics, 136, (pp. 875-901) (27 p.).
de la Rue, T., Fernandez, R. & Sokal, A.D. (2009). How to clean a dirty floor: probabilistic potential theory and the Dobrushin uniqueness theorem. Markov Processes and Related Fields, 14 (1), (pp. 1-78) (78 p.).
  2008 - Scholarly publications
Bertoncini, O., Barrera, M. & Fernandez, R. (2008). Cut-off and exit from metastability: two sides of the same coin. Comptes Rendus Mathématiques. Académie de Sciences. Paris, 346, (pp. 691) (1 p.).
  2007 - Scholarly publications
Fernández, R. & Procacci, A. (2007). Cluster expansion for abstract polymer models. New bounds from an old approach. Communications in Mathematical Physics, 274 (1), (pp. 123-140).
  2003 - Scholarly publications
Fernández, R. & Toom, A. (2003). Non-Gibbsianness of the invariant measures of of non-reversible cellular automata with totally asymmetric noise. Asterisque, 287, (pp. 71-87) (17 p.).
Fernández, R., Ny, A. Le & Redig, F. (2003). Restoration of Gibbsianness for projected and FKG renormalized measures. Bulletin of the Brazilian Mathematical Society, 34 (3), (pp. 437-455) (18 p.).
Fernández, R., Ny, A. Le & Redig, F. (2003). Variational principle and almost quasilocality for renormalized measures. Journal of Statistical Physics, 111 (1-2), (pp. 465-478) (23 p.).
  2002 - Scholarly publications
Fernández, R. & Galves, A. (2002). Markov approximations of chains of infinite order. Bulletin of the Brazilian Mathematical Society, 33, (pp. 295-306) (12 p.).
Fernández, R., Ferrari, P. A. & Garcia, N. L. (2002). Perfect simulation for interacting point processes, loss networks and Ising models. Stochastic Processes and their Applications, 102, (pp. 63-88) (26 p.).
Enter, A. C. D. van, Fernández, R., Hollander, F. den & Redig, F. (2002). Possible loss and recovery of Gibbsianness during the stochastic evolution of Gibbs measures. Communications in Mathematical Physics, 226 (1), (pp. 101-130) (29 p.).
Comets, F., Fernández, R. & Ferrari, P. A. (2002). Processes with long memory: Regenerative construction and perfect simulation. Annals of Applied Probability, 12, (pp. 921-943) (22 p.).
  2001 - Scholarly publications
Fernández, R., Ferrari, P. A. & Garcia, N. L. (2001). Loss network representation of Peierls contours. Annals of Probability, 29, (pp. 902-937) (35 p.).
Fernández, R. (2001). Metastability and relaxation of processes. An overview of basic notions and issues. Markov Processes and Related Fields, 7 (Proceedings for the meeting on Inhomogeneous Random Systems, Cergy, 2000), (pp. 5-19) (15 p.).
  2000 - Scholarly publications
Fernández, R. & Galves, A. (2000). Identifying features in the presence of competing evidence. The case of first-lanuage acquisition. Dynamical systems: From crystal to chaos (Marseille, 29 June -- 10 July, 1998) (pp. 52-62) (11 p.). World Scienctific.
  1993 - Scholarly publications
Enter, A. C. D. van, Fernández, R. & Sokal, A. D. (1993). Non-Gibbsian states. In R. Kotecký (Eds.), Phase Transitions: Mathematics, Physics, Biology,ldots (pp. 77-84) (8 p.). Singapore: World Scienctific.
Enter, A. C. D. van, Fernández, R. & Sokal, A. D. (1993). Non-Gibbsian states for renormalization-group transformations and beyond. In N. Boccara, E. Goles, S. Martinez & P. Picco (Eds.), Cellular Automata and Cooperative Systems (pp. 141-152) (11 p.). Dordrecht: Kluwer.
Asorey, M., Esteve, J. G., Fernández, R. & Salas, J. (1993). Rigorous Analysis of Renormalization-Group Pathologies in the 4-State Clock Model. Nuclear Physics B, B392, (pp. 593-618) (26 p.).
  1992 - Scholarly publications
Fernández, R., Fröhlich, J. & Sokal, A. D. (1992). Random-Walks, Critical Phenomena, and Triviality in Quantum Field Theory. (444 p.). Springer.
  1991 - Scholarly publications
Enter, A. C. D. van, Fernández, R. & Sokal, A. D. (1991). Regularity properties and pathologies of position-space renormalization-group transformations. Nuclear physics. B, proceedings supplement, 20, (pp. 48-52) (5 p.).
Enter, A. C. D. van, Fernández, R. & Sokal, A. D. (1991). Renormalization transformations in the vicinity of first-order phase transitions: What can and cannot go wrong. Physical Review Letters, 66, (pp. 3253-3256) (3 p.).
  1989 - Scholarly publications
Enter, A. C. D. van & Fernández, R. (1989). A remark on different norms and analyticity for many-particle interactions. Journal of Statistical Physics, 56, (pp. 965-972) (7 p.).
Fernández, R. & Slawny, J. (1989). Inequalities and Many Phase Transitions in Ferromagnetic Systems. Communications in Mathematical Physics, 121, (pp. 91-120) (30 p.).
  1988 - Scholarly publications
Aizenman, M. & Fernández, R. (1988). Critical exponents for long-range interactions. Letters in Mathematical Physics, 16, (pp. 39-49) (11 p.).
  1987 - Scholarly publications
Aizenman, M., Barsky, D. & Fernández, R. (1987). The phase transition in a general class of Ising-type models is sharp. Journal of Statistical Physics, 47, (pp. 343-374) (31 p.).
  1986 - Scholarly publications
Aizenman, M. & Fernández, R. (1986). On the Critical Behavior of the Magnetization in High-Dimensional Ising Models. Journal of Statistical Physics, 44, (pp. 393-454) (62 p.).
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Gegenereerd op 2017-06-29 12:51:30
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Gegenereerd op 2017-06-29 12:51:30
Full name
prof. dr. R. Fernandez Contact details
Hans Freudenthalgebouw

Budapestlaan 6
Room 521
3584 CD  UTRECHT
The Netherlands


Phone number (direct) +31 30 253 3732
Mobile phone +31 61 030 8740
Gegenereerd op 2017-06-29 12:51:30
Last updated 22.02.2013