INVITATION for
PUBLIC LECTURE by
Professor
Roberto Fernández
Laboratoire de Mathématiques Raphaël
Salem, UMR 6085 CNRS, Université de Rouen.
SEPTEMBER 26, 2007
EURANDOM, Laplace Building TU/e, Green Lecture Room (LG 1.105)
PROGRAMME
* For organizational reasons please send an email to coolen@eurandom.tue.nl if you plan to attend.
15.15  Coffee/Tea 
15.25

Welcome
by
Professor Onno Boxma, Scientific
Director EURANDOM Introduction: 
15.30

Random processes, partially ordered fields, gibbs fields Short Biography of Roberto Fernández Roberto Fernández is professor of
mathematics at the university of Rouen in France since 1999. 
16.30 h.  Reception 
INVITATION for
LECTURE SERIES
by
Professor
Roberto Fernández
Laboratoire de Mathématiques Raphaël
Salem, UMR 6085 CNRS, Université de Rouen.
Dates: Tuesday October 2, 16, 23 and 30, 2007
Time: 10.3012.30 h.
Place: EURANDOM, Laplace Building, LG 1.105
* Please send an email to
coolen@eurandom.tue.nl if you plan to attend.
Fields and Processes: common framework and relations
The course will present a common framework yielding general properties of lattice fields and discretetime processes. This framework is based on the notion of consistency: consistency with finitevolume conditional probabilities defines a lattice field, while consistency with transition probabilities defines a discretetime process. The attributes of the constraining probability kernels in each of these cases lead to the notion of oriented specification. Much of the general theory follows from the probabilistic properties of these oriented kernels. The theory accommodates also the socalled partially ordered fields, originally introduced for image reconstruction, whose features are in many senses intermediate between those of processes and (unordered) fields.
Tentative program:
1) Basic definitions, oriented specifications, examples, reconstruction from singlesite kernels.
2) Extremality, tailfield triviality, mixing properties, limit measures. Translation invariance and ergodicity.
3) Overview of uniqueness results (boundary uniformity, Dobrushin criterion, disagreement percolation) and examples of phase transitions.
4) Relation between processes and onedimensional fields. Phase transitions in the half line.
Last modified:
230209
Maintained by L. Coolen