Roberto Livi

Biography

Place and date of birth: Florence (Italy), 8 July 1953 High School Diploma: June 1972 University Studies: November 1972 - June 1977, Courses in Physics, Florence (Italy) Degree in Physics: 16/6/1977 with maximum degree and honors (110/110 cum laude) April 1978 - April 1979: Military service Present position: "Full Professor" of Theoretical Physics, Department of Physics University of Florence, via G. Sansone 1, 50019 Sesto Fiorentino, Italy

Research Interest

- Fundamentals of Quantification Mechanics: generalization of Bell's inequality to observable at many values, comparison with hidden variable theories, proposed of experiment using molecular predisposition.   - Statistical Field Theory: non-perturbative renormalization of phi4 theory, calculation of free energy of spin models with methods of renormalization group, rigorous formulation of the average field for random paths and gauge theories on the lattice, application of renormalization methods to "reggeon field theory".   - Statistics Mechanics: texture equations for spin patterns on the lattice, exact solution of the infinite range of Z (N) thermodynamics of the Toda chain, rigorous determination of the critical properties of growth models with many absorbing states, ergodic properties of microcanonics oservable and comparison with the canonical averages, study of critical properties and of first order transitions in "wetting" processes, discovery of presence of anomalous thermal conduction in low systems spatial dimension, study of the dependence of thermal conductivity by the size of the system.   - Dynamic Systems: Identification of the Equation Threshold in Oscillating Chains nonlinear (FPU model), study of the existence of the thermodynamic limit for the distribution of Lyapunov exponents, localization properties in the Lyapunov vectors, the determination of the "scaling" properties of the Lyapunov's maximum exponent for maps coupled to the limit of weak coupling, analytic expression and scale behavior of Lyapunov's largest exponent for the FPU problem and identification of the strong stochasticity threshold, relationship between dynamic properties and statistics in Hamiltonian systems to many degrees of freedom, relaxation to the solid balance of rare gas with defects, rigorous study of the existence of "breather" states in chains biatomic, study of the formation of breather in nonlinear chains, breathers in DNLSE, abnormal diffusion from deterministic models, application of formalism of great deviation to turbulence.   - Complex Systems: rigorous study of complex dynamic regimes in mapped pairs, phase transition "fuzzy" in models 1d, characterization of the diagram of phase 2d models and study of complex interface dynamics, noise-driven synchronization in paired map models and studying the classes of universality connected with transitions synchronization, identification of the responsible dynamic mechanism of the so-called "stable chaos".   - Quantum Systems: Schrödinger's seizure properties in potential ultrametric, demonstrating the existence of singular spectrum continuous for the "tight-binding" version of ultrametric potential, treatment with the group of renormalization of the spectral problem, poisson level statistics in the three-part Toda model, densities of states in quasi-integrative Hamiltonian models, the mechanism of breaking symmetry and approximation of Bethe for itinerant electron models.   - Biological interest models: temporal disruption of RR signal from electrocardiograms; identification of different dynamic phases in propagation patterns of epidemics; studies of genetic regulation mechanisms in populations of cells and identification of complex evolution in gene networks, dynamic approach to the study of the folding of proteins both in an implicit, explicitly explicit solvent, neural dynamics studies, DNA denaturation transition.   - History of Physics: research on physics and publishing articles scientific