Stefano Marmi

Stefano Marmi is a Full Professor of Mathematical Physics at the Faculty of Sciences, Scuola Normale Superiore in Pisa, Italy. He joined the institution as a full professor of Dynamical Systems on November 1, 2003, after serving as an associate professor at the University of Udine and a researcher at the University of Florence. His academic journey began with Physics studies at the University of Bologna, where he graduated in June 1986 and later earned his PhD in Theoretical Physics (specializing in Mathematical Methods for Physics) in 1990.

Professor Marmi's research primarily focuses on Dynamical Systems, with particular emphasis on quasiperiodic motions, KAM theory, and geometric renormalization in holomorphic and Hamiltonian dynamical systems. His work also extends to analytic number theory (including Lambert series and continued fractions), elliptic curves, and applications of mathematics to life sciences and medicine. His publication record demonstrates consistent contributions to the field since the early 1990s, with recent work concentrating on interval exchange maps, small divisor problems, and complex dynamics.

His research trends show a consistent thread connecting dynamical systems theory with number theory, particularly through the study of continued fractions and their dynamical properties. The most recent publications (2010-2012) reveal an increasing focus on quantitative aspects of dynamical systems, including entropy calculations and numerical analysis of alpha-continued fractions. His work maintains strong connections with mathematical physics applications.

• ISAAC Prize winner in 1999
• Invited speaker at Bourbaki Seminar (exposé 854, November 14, 1998)

Professor Marmi has maintained significant international collaborations throughout his career, particularly with Jean-Christophe Yoccoz at the Collège de France in Paris, Pierre Moussa at SPhT, CEA in Saclay, France, and Carlo Carminati at the University of Pisa. His teaching portfolio includes courses on Dynamical Systems, Statistical Mechanics, Rational Mechanics, and specialized PhD courses on Holomorphic Dynamical Systems, Hamiltonian Systems, Small Divisors, and Analytic Number Theory. He has also developed courses connecting dynamical systems theory with financial time series analysis.