- Theoretical and Computational Physics
- Stochastic processes and statistical mechanics
- Markov Chains and Monte Carlo Methods
- Advanced Thermodynamics and Statistical Mechanics
- Nuclear physics research studies
- Black Holes and Theoretical Physics
- Quantum many-body systems
- Noncommutative and Quantum Gravity Theories
- Statistical Mechanics and Entropy
- Material Dynamics and Properties
- Quantum Chromodynamics and Particle Interactions
- Quantum, superfluid, helium dynamics
- Quantum chaos and dynamical systems
- Quantum Mechanics and Non-Hermitian Physics
- Advanced Mathematical Physics Problems
- Spectral Theory in Mathematical Physics
- Advanced Mathematical Modeling in Engineering
- Effects of Radiation Exposure
- nanoparticles nucleation surface interactions
- Nonlinear Waves and Solitons
- Mathematical Dynamics and Fractals
- Carcinogens and Genotoxicity Assessment
- Complex Network Analysis Techniques
- Atomic and Molecular Physics
- Cold Atom Physics and Bose-Einstein Condensates
Gran Sasso Science Institute
2014-2018
University of L'Aquila
2017
Sapienza University of Rome
1993-2012
Istituto Nazionale di Fisica Nucleare
1964-2007
Roma Tre University
1999-2006
Istituto Nazionale di Fisica Nucleare, Sezione di Roma I
1965-2005
Istituto Nazionale per la Fisica della Materia
1997
Centre National de la Recherche Scientifique
1986-1987
Centre de Physique Théorique
1986-1987
Marconi University
1977
Abstract We attempt to present in a systematic fashion theory of critical behaviour terms simple probabilistic concepts. This approach arose out renormalization group treatments phenomena phase transitions, but it is relevant also for turbulence, certain geophysical situations, and general any statistical problem which scaling laws are expected play significant role. The presentation here reflects the recent emphasis on transitions formulation sufficiently be easily adapted different...
Following Fr\"ohlich and Spencer, we study one dimensional Ising spin systems with ferromagnetic, long range interactions which decay as $|x-y|^{-2+\alpha}$, $0\leq \alpha\leq 1/2$. We introduce a geometric description of the configurations in terms triangles play role contours for establish Peierls bounds. This particular yields direct proof well known result by Dyson about phase transitions at low temperatures.
In this paper we study the statistics of combinatorial partitions integers, which arise when studying occupation numbers loops in mean field Bose gas. We review results Lewis and collaborators get some more precise estimates on behavior at critical point (fluctuations condensate component, finite volume corrections to pressure). then prove limit shape theorems for numbers. particular that a certain range parameters, fraction total mass is, limit, supported by infinitely long loops. also show...