Since I was Assistant Professor in Probability and Statistics at Department of Mathematics and Informatics of Camerino University.

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1 Curriculum Vitae et Studiorum of Maria Simonetta Bernabei Personal data Maria Simonetta Bernabei, born on 29th May1964 in Sarnano, Italy. Citizenship: Italian, Marital Status: Married Department of Mathematics and Informatics, Università di Camerino Education 1988: Diploma in Mathematics, received at the University of Camerino. Diploma thesis on Probabilistic methods applied to reaction-diffusion equations. Supervisor: Prof. Carlo Boldrighini (mark: 110/110 cum laude). 1995: Ph.D. degree in Mathematics, received at the University of Rome. Ph.D. thesis on Problems of random walks in fluctuationg random. Supervisor: Prof. Carlo Boldrighini. Fellowships I.N.d.A.M., Istituto Nazionale di Alta Matematica F. Severi (National Institute of High Mathematics), Rome C.N.R., Consiglio Nazionale delle Ricerche (National Research Council), Rome PhD in mathematics at University of Rome La Sapienza Post-doc at Dipartment of Mathematics and Physics of University of Camerino Individual Marie Curie from European Union, Category 30, application nr. MCFI , contract nr. HPMF- CT Employment Since I was Assistant Professor in Probability and Statistics at Department of Mathematics and Informatics of Camerino University. Since I am Associated Professor in Probability and Statistics at Department of Mathematics and Informatics of Camerino University. Seminar talks - Feb. 25, 1999, Central Limit Theorem for the random corrections to the average and the covariance matrix of random walks in fluctuating random media, University of Rome Tor Vergata. - Jan. 21, 2000, Anomalous behaviour for the random corrections to the cumulants of random walk in fluctuating random, University of Bonn. - Apr. 25, 2002, Homogenization in random Dirichlet forms, University of Bonn.

2 - June 5, 2003, Homogenization of infinite dimensional diffusion processes with periodic coefficients, University of Verona. - Feb., 2005, Homogenization of infinite dimensional diffusion processes with periodic coefficients, at University Tor Vergata of Rome. Conferences, Invitations - Summer school organized by C.I.M.E. (International Mathematical Summer Center), Nonequilibrium Problems in Many-Particle Systems, Montecatini, June 15-27, Conference White Noise Approach and QS Calculi, Trento, July, Conference Stochastic Partial Differential Equations and Applications", Levico Terme (Trento), Jan , Conference Marie Curie Fellowships - Present and Future, Stuttgart (Germany), Feb , Conference on Probability and Statistics Hamburger Stochastik - Tage 2000, Hamburg (Germany), March 21-24, Poster. - Workshop Random Media 2000, Madralin, Warshaw (Poland), June19-26, Workshop on Stochastic Analysis and Applications, Bielefeld (Germany), Aug , Talk on Anomalous behaviour for the random corrections to the cumulants of random walk in fluctuating random environment. - Conference Mathematical problems of Statistical Physics, Nor Amberd (Armenia), Aug. 25 Sept. 2, Talk on Homogenization of random Dirichlet forms". - Random Walks and Statistical Physics, Erwin Schröodinger Insitute, Vienna, Random Walks, Special semester, Feb. July, Workshop on Stochastic Analysis and Related Topics, Saint Petersburg, Russia, June 4-10, Talk on Homogenization of diffusion processes with random coefficients. - Workshop: Quantum Probability and Applications - First Meeting of the European Reserach Training Network, Levico Terme, Feb , Workshop Infinite Dimensional Analysis and Applications, Trento, March, Talk on Stochastic processes, homogenization and Dirichlet forms. - Workshop Scalings limits, Center of Mathematical Research Ennio De Giorgi (Collegio Puteano), Scuola Normale Superiore of Pisa, Jul. 7-11, Talk on Homogenization of infinite dimensional diffusion processes. - Workshop Stochastic Partial Differential Equations and Applications, Levico Terme, organized by C.I.R.M., International Center for Mathematical Research and University of Trento, Jan. 5-10, Workshop Mathematical Problems in Dynamics and Statistical Physics, Camerino, Sept. 27 Oct. 1, Talk on Homogenization of infinite dimensional diffusion processes. - VII National Conference of Statistics Statistica ufficiale. Bene pubblico, Rome, organized by ISTAT (National Institute of Statistics) and SISTAN (National Statistical System), Nov. 9-10, School and Workshop Mathematical Methods in Quantum Mechanics, Bressanone, Feb , June 18-22, 2007, Joint International Meeting UMI (Unione Matematica Italiana) - DMV (Deutsche Mathematiker Vereinigung, Germania), Perugia. Talk on

3 Homogenization of diffusion processes in random media. - May 19 30, 2008, Workshop Combinatorics and Statistical Physics, Erwin Schrödinger Institute for Mathematical Physics, Vienna. - June 30 - July 4, 2008, Workshop The Manifold Geometries of Quantum Field Theory, Hausdorff Center for Mathematics and Max Planck Institute for Mathematics, Bonn, Germany. - July 7-10, 2008, Summer School Combinatorics and Statistical Mechanics, Erwin Schrödinger Institute for Mathematical Physics, Vienna. Honors and Awards, financially supported research projects , Research Project Random Walks in Time-Dependent Random Media financially supported by European Union (Individual Marie Curie ). Scientist in charge of the project: Prof. Sergio Albeverio, University of Bonn, Germany , Research Project PRIN (National Interest Research Project) Mathematical problems in kinetic theory, financially supported by MURST (Ministry of University and Scientific and Technological Research). Scientist in charge of the project: Prof. Cercignani, University of Milano , Research project Dirichlet forms, stochastic processes and homogenization, Vigoni Programme, financially supported by CRUI (Conference of Italian University Rectors) and DAAD (German Academic Exchange Service). The scientists in charge of the project were Professor Sergio Albeverio for the german group and my self for the italian group , Research Project PRIN (National Interest Research Project) Random fields, stochastic evolutions and applications to many components interacting systems models, financially supported by MIUR (Ministry of Education, University and Research). Scientist in charge of the project: Prof. Gandolfi, University of Florence , my paper Anomalous behaviour fir the random corrections to the cumulants of random walk in fluctuating random environment, published in Probability Theory and Related Fields, 119, no. 3, pp , 2001 was estimated excellent by CIVR (Committee for Evaluation of Research) , Research Project PRIN (National Interest Research Project) Percolation, random fields, evolution of interacting stochastic systems, financially supported by MIUR (Ministry of Education, University and Research). Scientist in charge of the project: Prof. Massimo Campanino, University of Bologne. Research interests Random walks in time-dependent random media; Homogenization of finite and infinite dimensional diffusion processes; Intersection of Brownian motions; Quantum field theory.

4 Publications - M. S. Bernabei and S. Frigio, A Two-Dimensional Random Walk in Random Environment Exhibiting Strongly Sub- diffusive Behavior: Computer Simulations", Atti del Seminario Matematico e Fisico dell'università di Modena, XL, pp , 1992 (reviewed by EMIS). - M. S. Bernabei and C. Boldrighini, Random Walks in Fluctuating Random Media, Markov Processes and Related Fields. Vol. 2 (nr. 3), pp , Polymat, Moscow, 1996 (reviewed by MathsciNet). - M. S. Bernabei, A Remark on Random Walks in Fluctuating Random Media: the Independent Case, Markov Processes and Related Fields. Vol. 3 (nr. 3), , Polymat, Moscow, 1997 (reviewed by MathsciNet). - M. S. Bernabei, C. Boldrighini, R. A. Minlos, A. Pellegrinotti, Almost-sure Central Limit Theorem for a Model of Random Walk in Fluctuating Random Environment, Markov Processes and Related Fields. Vol. 4 (nr. 3), pp , Polymat, Moscow, 1998 (reviewed by MathsciNet). - M. S. Bernabei, Anomalous behaviour fir the random corrections to the cumulants of random walk in fluctuating random environment, Probability Theory and Related Fields, 119, no. 3, pp , 2001 (reviewed by MathsciNet). - S. Albeverio, M. S. Bernabei, X. Y. Zhou, On the intersections of transient Brownian motions, Collection Papers of Zhou Xianyin, Beijing Normal University, Press, Beijing (Vol. II, pp ), S. Albeverio, M. S. Bernabei, X.Y. Zhou, A new convergent lattice approximation for the $\phi_2^4$ - quantum field, Collection Papers of Zhou Xianyin'', Beijing Normal University, Press, Beijing (Vol. II, pp ), S. Albeverio, M. S. Bernabei, M. Röckner, M.W. Yoshida, Homogenization of infinite dimensional diffusion processes with periodic drift coefficients, International Winter School of Quantum Information and Complexity, Jan. 6-10, ISBN/ISSN: World Scientific Publishing Co. Edited by Hida K.S. and Si Si, S. Albeverio, M. S. Bernabei, X. Y. Zhou, On the almost intersections of transient Brownian motions, Acta Mathematicae Applicandae, vol. 84, pp.1-28, 2004 (reviewed by MathsciNet). - S. Albeverio, M. S. Bernabei, X.Y. Zhou, Lattice approximations and continuum limits of $\phi^4_2$-quantum fields, Journal of Mathematical Physics, vol.45, n.1, 2004 (reviewed by MathsciNet). - S. Albeverio, M. S. Bernabei, Homogenization in random Dirichlet forms. Stochastic Analysis and Applications, Vol. 23, No. 2, pp , 2005 (reviewed by MathsciNet). - S. Albeverio, M. S. Bernabei, M. Röckner, M.W. Yoshida Homogenization with respect to Gibbs measures for periodic drift diffusions on lattices. Comptes Rendus Mathematique, vol. 341, 2005, pp (reviewed by MathsciNet). - S. Albeverio, M. S. Bernabei, M. Röckner, M.W. Yoshida: Homogenization of diffusions on the lattice $Z^d$ with periodic drift coefficients, applying a logarithmic Sobolev inequality or a weak Poincaré inequality. Stochastic Analysis and Applications The Abel Symposium 2005, Proceedings of the Second Abel Symposium, Oslo, July 29 - August 4, 2005, held in honor of Kiyosi Ito. Series: Abel Symposia, Vol. 2, Benth, F.E.;

5 Di Nunno, G.; Lindstrom, T.; Oksendal, B.; Zhang, T. (Eds.) 2007, XII, 678 p., ISBN: , Springer. - M.S. Bernabei, H. Thaler Coloured Hard-Dimers, submitted to Electronic Journal of Combinatorics.