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Vertex intrinsic fitness: how to produce arbitrary scale-free networks.

- V. Servedio, G. Caldarelli, P. Buttà
- MathematicsPhysical review. E, Statistical, nonlinear, and…
- 29 September 2003

TLDR

Slow Motion and Metastability for a Nonlocal Evolution Equation

- P. Buttà, A. De Masi, Emanuele Rosatelli
- Mathematics
- 1 August 2003

In this paper we consider a nonlocal evolution equation in one dimension, which describes the dynamics of a ferromagnetic system in the mean field approximation. In the presence of a small magnetic… Expand

Large-Deviation Principle for One-Dimensional Vector Spin Models with Kac Potentials

We consider the one-dimensional planar rotator and classical Heisenberg models with a ferromagnetic Kac potential Jγ(r)=γJ(yr), J with compact support. Below the Lebowitz-Penrose critical temperature… Expand

A New and Stable Estimation Method of Country Economic Fitness and Product Complexity

- V. Servedio, P. Buttà, D. Mazzilli, A. Tacchella, L. Pietronero
- MathematicsEntropy
- 23 July 2018

TLDR

Long Time Evolution of Concentrated Euler Flows with Planar Symmetry

- P. Buttà, C. Marchioro
- PhysicsSIAM J. Math. Anal.
- 15 November 2016

TLDR

Time Evolution of Concentrated Vortex Rings

- P. Buttà, C. Marchioro
- Physics
- 9 April 2019

We study the time evolution of an incompressible fluid with axisymmetry without swirl when the vorticity is sharply concentrated. In particular, we consider N disjoint vortex rings of size… Expand

Stochastic Phase Field Equations: Existence and Uniqueness

- L. Bertini, S. Brassesco, P. Buttà, E. Presutti
- Mathematics
- 1 March 2002

Abstract. We consider a conservative system of stochastic PDE's, namely a one dimensional phase field model perturbed by an additive space-time white noise. We prove a global existence and uniqueness… Expand

Dobrushin States in the φ 41 Model

- L. Bertini, S. Brassesco, P. Buttà, J. Fritz
- Mathematics
- 2008

We consider the van der Waals free energy functional in a bounded interval with inhomogeneous Dirichlet boundary conditions imposing the two stable phases at the endpoints. We compute the asymptotic… Expand

On the validity of an einstein relation in models of interface dynamics

- P. Buttà
- Mathematics
- 1 September 1993

We consider models of interface dynamics derived from Ising systems with Kac interactions and we prove the validity of the “Einstein relation”θ=μσ, whereθ is the proportionality coefficient in the… Expand

Sharp Interface Limits for Non-Local Anisotropic Interactions

- G. Bellettini, P. Buttà, E. Presutti
- Mathematics
- 1 September 2001

Abstract We prove a convexity property of the surface tension corresponding to a non-local, anisotropic free-energy functional of van der Waals type which implies that the Wulff shape is strictly… Expand

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