Objective In previous works we understood the microscopic derivation of a family of Non-Linear Stochastic Equations (NLSE), by analyzing two different kinds of one-dimensional spin models . We proved that the "critical fluctuations" of the "magnetization density field" converge to the solutions of these kinds of NLSE. These NLSE have applications in the theory of critical phenomena (as is evident also from the models) and problems concerning stochastic quantization. The invariant measures of these NLSE are the P( ) Euclidean Fields. The interesting problems concerning this topic are in space -dimension 2. For one of these two models analyzed in the previous works we might have good possibilities to extend the results in 2-space dimensions. This model evolves with a reversible "Glauber dynamics" with respect to a Gibbs measure defined by a "Kac potential". Recent results obtained by Cassandro M., Marra R., Presutti E. concerning the invariant measure in 2 dimensions let us think that we should succeed in analyzing the dynamics of the 2-dimensional critical fluctuations. Difficulties arize because of ultra-violet divergencies Fields of science natural sciencesphysical scienceselectromagnetism and electronicsspintronics Programme(s) FP4-TMR - Specific research and technological development programme in the field of the training and mobility of researchers, 1994-1998 Topic(s) 0302 - Post-doctoral research training grants TM20 - Statistics and Probability Call for proposal Data not available Funding Scheme RGI - Research grants (individual fellowships) Coordinator Ruhr-Universität Bochum Address 150,universitätsstraße 150 44780 Bochum Germany See on map EU contribution € 0,00 Participants (1) Sort alphabetically Sort by EU Contribution Expand all Collapse all Not available Italy EU contribution € 0,00 Address See on map
