Foto del docente

Massimo Campanino

Professor

Department of Mathematics

Academic discipline: MAT/06 Probability and Statistics

Curriculum vitae

 

I was born on February 5 1952. I obtained the degree in Mathematics on March 3 1975 with prof. Bruno de Finetti as supervisor. From August 1 to October 31 1976 I had a C. N. R. fellowship under the supervision of prof. Bruno de Finetti.

I had fellowships from Italian C. N. R., Italian Department of Public Education. Then I was born on February 5 1952. I obtained the degree in Mathematics on March 3 1975 with prof. Bruno de Finetti as supervisor.
I had fellowships from Italian C. N. R., Italian Department of Public Education. Then I was researcher, associate professor at the University of Rome "La Sapienza", II University of Rome - Tor Vergata, Università della Basilicata and University of Bologna. Since November 1 1990 I am full professor of Probability Theory and Mathematical Statistics at the Faculty of Science of the University of Bologna.
I have been visitor at the I. H. E. S. of Bures-sur-Yvette (France), at the University of Priceton and at the University of California at Irvine.
My research works are mainly devoted to stochastic systems: stochastic processes, Gibbs random fields, percolation theory, disordered systems.

I have studied local limit property for Gibbs random fields and its relation with central limit theorem (see[27] OP). This property is particularly relevant in relation with the problem of the equivalence of the ensembles.

 

I have also worked on chaotic or stochastic behaviour of dinamica systems and in particolar of maps o fan interval into itself  (see [8], [9] [10], [25], [28] OP).  Related to this problem is the proof of the existence of a solution of Feigenbaum's functional equation  ( see[26], [27] OP).

 

Other works concern the rigorous study of disordered systems and in particolar operators with random potential and Gibbs random fields with random potential  (see [13], [14] [15], [16], [17] [18],  [19], [20] [21],  [27] OP)   .

 

I have then worked on problems concerning the mathematical theory of random fields and percolation  see ([5],  [6],  [23], [24] OP).  In particularly the work in which for the first time Ornstein Zernike behaviour for Bernoulli percolation up to the critical work is particularly relevant (see [12] OP). This work has then been continued and extended in various more recent works (see [2], [3],  [4] OP, [2], [5] Observatory of research).

 

Presently I am studying with prof. M. Gianfelice the property of entanglement for the Quantum Ising model with transverse magnetic field using a stochastic representation.

In the last few years I studied properties of random walks on directed planar graphs (random and non-random), starting from a joint work with D. Petritis where almost sure transience is proved for a random walk on a square directed graph where the directions are chosen independently with equal probability cor the horizontal bonds.  This unexpected result has started series of related researches. Jointly with prof. Dimitri Pertitis and Dr. Gianluca Bosi I have obtained results on this line. 

I was national coordinator of the 2006 Prin project "Percolation, random fields, evolution of stochastics interacting systems" and of the 2009 Prin project "Random fields, percolation and stochastic evolution of systems with many components"  I was member of the editorial board of the "Far East Journal of Mathematical Sciences" and I am member of the editorial board of "International Journal of Statistics and Systems".