29 citations · 54 across the 7 of their papers we have counts for
9 papers
Phase transition in random distance graphs on the torus
Fioralba Ajazi, George M. Napolitano, Tatyana Turova
We apply here methods of inhomogeneous random graphs to a class of random distance graphs. This provides an example outside of the rank 1 models which is still solvable as long as…
Critical line of the Ising model on 2-dimensional CDT and its dual
George M. Napolitano, Tatyana S. Turova
In this paper we study the annealed coupling of an Ising model with 2-dimensional causal dynamical triangulation model. After a short review of previous results, we prove the exist…
Geometry and physics of pseudodifferential operators on manifolds
Giampiero Esposito, George M. Napolitano
A review is made of the basic tools used in mathematics to define a calculus for pseudodifferential operators on Riemannian manifolds endowed with a connection: esistence theorem f…
The Ising model on the random planar causal triangulation: bounds on the critical line and magnetization properties
George M. Napolitano, Tatyana Turova
We investigate a Gibbs (annealed) probability measure defined on Ising spin configurations on causal triangulations of the plane. We study the region where such measure can be defi…
Towards obtaining Green functions for a Casimir cavity in de Sitter spacetime
Giampiero Esposito, George M. Napolitano
Recent work in the literature has studied rigid Casimir cavities in a weak gravitational field, or in de Sitter spacetime, or yet other spacetime models. The present review paper s…
Generic Ising Trees
Bergfinnur Durhuus, George M. Napolitano
The Ising model on an infinite generic tree is defined as a thermodynamic limit of finite systems. A detailed description of the corresponding distribution of infinite spin configu…