Postal address: PO Box 80010
3508 TA Utrecht
the Netherlands
Visiting address: Budapestlaan 6
De Uithof
3584 CD Utrecht
room MI 521
Email (with spam prevention): R. Fernandez1 "AT" uu. nl
Phone: +31 30-2533732
Fax : +31 30-2518394
Sec. : +31 30 2531430
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.
PhD. in Mathematics, Virginia Polytechnic Institute and State
University (Blacksburg, VA (USA), 1984)
Licenciado en Física, Universidad de Buenos Aires (Buenos Aires,
Argentina, 1976)
Previous positions: Rutgers University, University of Texas at Austin, ETH-Zuerich, EPFL-Lausanne, Universidad de Córdoba (Argentina), Universidade de Sao Paulo (Brazil), Université de Rouen (on leave since mid-2009)
A.C.D. van Enter, R. Fernández, F. den Hollander and F. Redig:
A large-deviation view on dynamical Gibbs-non-Gibbs transitions.
Moscow Mathematical Journal, 10: 687-711, 2010.
V. Deveaux and R. Fernández:
Partially ordered models.
J. Stat. Phys., 141: 476-516, 2010
R. Bissacot, R. Fernández, and A. Procacci:
On the convergence of cluster expansions for polymer gases.
J. Stat. Phys., 139, pp. 598-617, 2010.
O. Bertoncini, J. Barrera M. and R. Fernández:
Abrupt convergence and escape behavior for birth and death chains.
J. Stat. Phys., 137, pp. 595-623, 2009.
R. Fernández, L.R. Fontes and E.J. Neves:
Density-Profile Processes Describing Biological Signaling Networks:
Almost Sure Convergence to Deterministic Trajectory.
J. Stat. Phys., 136, pp. 875-901, 2009.
O. Bertoncini, J. Barrera M. and R. Fernández:
Cut-off and exit from metastability: two sides of the same coin.
C. R. Acad. Sci. Paris, Ser. I 346, pp. 69 1-6, 2008.
T. de la Rue, R. Fernández and A. D. Sokal:
How to Clean a Dirty Floor: Probabilistic Potential Theory and the Dobrushin Uniqueness Theorem.
Markov Proc. Rel. Fields, 14, pp. 1-78, 2008.
Roberto Fernández, Aldo Procacci:
Regions without complex zeros for chromatic polynomials on
graphs with bounded degree.
Combinatorics Probability and Computing 17, pp. 225-38, 2008.
R.&bsp;Fernández, A. Procacci and B. Scoppola:
The analyticity region of the hard sphere gas. Improved bounds.
J. Stat. Phys. 128, pp. 1139-43, 2007.
Roberto Fernández, Aldo Procacci:
Cluster expansion for abstract polymer models. New bounds from an old approach.
Comm. Math. Phys., 274, pp. 123-40, 2007.
Roberto Fernández, Jürg Fröhlich, Daniel Ueltschi:
Mott transition in lattice boson models
Commun. Math. Phys. 266 (2006) 777-95
Roberto Fernández,
Pablo A. Ferrari,
Gustavo Guerberoff:
Spatial birth-and-death processes in random
environment
Math. Phys. Elect. J. 11, paper 3, 2005.
Roberto Fernández, Grégory Maillard:
Chains with complete connections: General theory,
uniqueness, loss of memory and mixing properties
J. Stat. Phys. 118 (2005) 555-88
Roberto Fernández, Grégory Maillard:
Chains with complete connections and one-dimensional Gibbs
measures
Elect. J. Prob. 9 (2004), 145-76
Roberto Fernández, Arnaud Le Ny, Frank Redig:
Restoration of Gibbsianness for projected and FKG renormalized
measures
Bull. Braz. Math. Soc. 34 (2003) 437-55
Roberto Fernández, Andre Toom: :
Non-Gibbsianness of the
invariant measures of non-reversible cellular automata with totally
asymmetric noise
Asthérisque 287 (2003) 71-87
Roberto Fernández, Arnaud Le Ny, Frank Redig:
Variational
principle and almost quasilocality for some renormalized measures
J. Stat. Phys. 111 (2003) 465--77
Roberto Fernández Antonio Galves:
Markov approximations of chains of infinite order
Bull. Braz. Math. Soc. 33 (2002) 1--12
Roberto Fernández, Aernout C.D. van Enter, Frank den Hollander,
Frank Redig:
Possible loss and recovery of Gibbsianness during the
stochastic evolution of Gibbs measures
Comm. Math. Phys. 226 (2002) 101-30
Francis Comets, Roberto Fernández,
Pablo A. Ferrari:
Processes with Long Memory: Regenerative Construction and Perfect
Simulation
Ann. App. Probab. 12 (2002) 921--43
Roberto Fernández,
Pablo A. Ferrari,
Nancy L. Garcia:
Perfect simulation for interacting point processes, loss networks and
Ising models
Stoch. Proc. et Appl. 102 (2002) 63-88
Roberto Fernández,
Pablo A. Ferrari,
Nancy L. Garcia:
Loss network representation of Ising contours
Ann. Probab. 29 (2001) 902-37
Roberto Fernández,
Pablo A. Ferrari,
Nancy L. Garcia:
Measures on contour, polymer or animal models. A probabilistic
approach
Markov Processes and Related Fields 4 (1998), no. 4, 479-97
Nilanjana Datta, Roberto Fernández, Jürg Fröhlich:
Effective Hamiltonians and phase diagrams for tight-binding
models
J. Stat. Phys. 96 (1999) 545-611
Aernout C D van Enter, Roberto Fernández:
Problems with the
definition of renormalized Hamiltonians for momentum-space
renormalization transformations
Phys. Rev. E 59 (1999) 5165-71
Xavier Bressaud, Roberto Fernández, Antonio Galves:
Decay of correlations for non Hölderian dynamics. A coupling
approach
Elect. J. Prob. 4 (1999), Paper no. 3, 1-19
Xavier Bressaud, Roberto Fernández, Antonio Galves:
Speed of $\overline d$-convergence for Markov approximations of
chains with complete connections. A coupling approach
Stoch. Proc. and Appl. 83 (1999) 127-38
Roberto Fernández:
Random fields in lattices. The Gibbsianness issue
Resenhas do IME-USP 3 (1998) 391-421
Aernout C. D. van Enter, Roberto Fernández,
Roberto H. Schonmann,
Senya B. Shlosman:
Complete analyticity of the 2D Potts model above the critical
temperature
Comm. Math. Phys. 189 (1997) 373-93
Roberto Fernández, Charles-Edouard Pfister:
Global specifications and non-quasilocality of projections of
Gibbs measures
Ann. Probab. (1997) 25 1284-315
Nilanjana Datta, Roberto Fernández, Jürg Fröhlich, Luc Rey-Bellet:
Low-Temperature Phase Diagrams of Quantum Lattice
Systems. II. Convergent perturbation expansions and stability in
systems with infinite degeneracy
Helv. Phys. Acta 69 (1996) 752-820
Nilanjana Datta, Roberto Fernández, Jürg Fröhlich:
Low-temperature phase diagrams of quantum lattice systems: I.
stability for quantum perturbations of classical systems with
finitely-many ground states
J. Stat. Phys. 84 (1996) 455-534
Aernout C. D. van Enter, Roberto Fernández, Roman Kotecký:
Pathological behavior of renormalization-group maps at high
fields and above the transition temperature
J. Stat. Phys 79 (1995) 969-92
Aernout C. D. van Enter, Roberto Fernández,
Alan D. Sokal:
Regularity properties and pathologies of position-space
renormalization-group transformations: Scope and limitations of
Gibbsian theory
J. Stat. Phys. 72 (1993) 879-1167
Manuel Asorey, José G. Esteve, Roberto Fernández, Jesús Salas:
Rigorous analysis of renormalization-group pathologies in the
4-state clock model
Nucl. Phys. B392 (1993) 593-618
Aernout C. D. van Enter, Roberto Fernández,
Alan D. Sokal:
Renormalization transformations in the vicinity of first-order
phase transitions: What can and cannot go wrong
Phys. Rev. Lett. 66 (1991) 3253-6
Aernout C. D. van Enter, Roberto Fernández:
A remark on different norms and analyticity for many-particle
interactions
J. Stat. Phys. 56 (1989) 965-72
Roberto Fernández,
Joseph Slawny:
Inequalities and many phase transitions in ferromagnetic
systems
Comm. Math. Phys. 121 (1989) 91-120
Michael Aizenman, Roberto Fernández:
Critical exponents for long-range interactions
Lett. Math. Phys. 16 (1988) 39-49
Michael Aizenman, David Barsky, Roberto Fernández:
The phase transition in a general class of Ising-type models is
sharp
J. Stat. Phys. 47 (1987) 343-74
Michael Aizenman, Roberto Fernández:
On the critical behavior of the magnetization in high dimensional
Ising models
J. Stat. Phys. 44 (1986) 393-454
Roberto Fernández:
Metastability and relaxation of processes. An overview of basic
notions and issues
Markov Proc. Rel. Fields 7 (2000) 5-19
Roberto Fernández, Antonio Galves:
Identifying features in the presence of competing evidence. The case
of first-lanuage acquisition
Dynamical systems: From crystal to chaos (Marseille, 1998),
52-62, World Scientific, 2000
Roberto Fernández:
Measures for lattice systems
Physica A 263 (1999) 117-130 (Proceedings of the XXth IUPAP
International Conference on Statistical Physics, Paris, France,
1998).
Aernout C. D. van Enter, Roberto Fernández,
Alan D. Sokal:
Renormalization Transformations: Source of Examples and Problems
in Probability and Statistics
Resenhas do IME-USP 2 (1994) 233-262
(Proceedings for the V CLAPEM, São Paulo, 1993)
Aernout C. D. van Enter, R. Fernández,
Alan D. Sokal:
Non-Gibbsian States for Renormalization-Group Transformations and
Beyond
Cellular Automata and Cooperative Systems,
N. Boccara, E. Goles, S. Martinez, P. Picco, editors; Kluwer,
Dordrecht, 1993, pp. 141-152
[proceedings of the NATO Advanced Studies
Institute workshop on Cellular Automata and Cooperative Systems
(Les Houches 1992)]
Aernout C. D. van Enter, R. Fernández,
Alan D. Sokal:
Non-Gibbsian States
Phase Transitions: Mathematics, Physics, Biology,...
R. Kotecký, editor; World Scientific, Singapore, 1993, pp. 77-84
(proceedings of the 1992 Prague Workshop on Phase Transitions)
Aernout C. D. van Enter, Roberto Fernández,
Alan D. Sokal:
Regularity Properties and Pathologies of Position-Space
Renormalization-Group Transformations
Nucl. Phys. B (Proc. Suppl.) 20 (1991) 48-52.
Roberto Fernández,
Pablo A. Ferrari,
Antonio Galves:
Coupling, renewal and perfect simulation
of chains of infinite order
Notes for a minicourse given
at the V Brazilian School of Probability, Ubatuba, July 30--August 4,
2001
Roberto Fernández:
Contour Ensembles and the Description of Gibbsian
Probability Distributions at Low Temperature
Notes for a
minicourse given at the 21 Colôquio Brasileiro de
Matemática, IMPA, Rio de Janeiro, July 21-25, 1997
Multiculturalismo Intelectual
Revista USP (Universidade de São Paulo), no. 42, junho/agosto
1999, págs. 84-95
Last modified 06-10-2011