Roberto Fernandez

Roberto Fernandez is a Professor of Practice in Mathematics at NYU Shanghai. He has had a very itinerant academic life that includes instructorships at the Universidad de Buenos Aires and the University of Texas at Austin; research positions at Rutgers University, ETH-Zuerich and EPFL-Lausanne (Switzerland); and professorships at the Universidad de Córdoba (Argentina), Universidade de São Paulo (Brazil), Université de Rouen (France) and Utrecht University (The Netherlands).  His general interest lies in the rigorous mathematical treatment of physical phenomena, mostly through probabilistic techniques, but he is also interested in the theory of stochastic processes, including simulation techniques.   He has an extensive list of scientific publications both in mathematics and physics journals, which include books and chapters in books.  At present he is an alternate NYU-SH senator.

Select Publications

• R. Fernández, J. Fröhlich and A. D. Sokal: Random-Walks, Critical Phenomena, and Triviality in Quantum Field Theory; Springer-Verlag (Texts and Monographs in Physics), 1992.
• A. C. D. van Enter, R. Fernández and A. D. Sokal: Regularity Properties and Pathologies of Position-Space Renormalization-Group Transformations: Scope and Limitations of Gibbsian Theory; J. Stat.Phys. 72, pp. 879–1167, 1993.
• R. Fernández, P. A. Ferrari and N. L. Garcia: Loss network representation of Peierls contours. Ann. Probab. 29, pp. 902–937, 2001.
• R. Fernández and A. Procacci: Cluster expansion for abstract polymer models. New bounds from an old approach. Comm. Math. Phys., 274, pp. 123–40, 2007.
• S. Berghout, R. Fernández and E. Verbitskiy: On the relation between Gibbs and g-measures. Ergodic Th. Dyn. Sys, 39:3224-49, 2019.
• R. Fernández, F. Manzo, M. Quattropani and E. Scoppola: Quasi-Stationary Distributions of Non-Absorbing Markov Chains. J. Stat. Phys. 192, art. 43, 2025.

Education

• PhD, Mathematics
  Virginia Polytechnic Institute and State University
• Master's, Physics
  Universidad de Buenos Aires