output
20022024
most citedStochastic Self-Similar and Fractal Universe

95 citations

21 papers

quant-ph2024★ 2 cited

Quantum Entropies and Decoherence for the Multiparticle Quantum Arnol'd Cat

Giorgio Mantica

I study the scaling behavior in the physical parameters of dynamical entropies, classical and quantum, in a specifically devised model of collision-induced decoherence in a chaotic…

quant-ph2024

Behavior of correlation functions in the dynamics of the Multiparticle Quantum Arnol'd Cat

Giorgio Mantica

The multi-particle Arnol'd cat is a generalization of the Hamiltonian system, both classical and quantum, whose period evolution operator is the renown map that bears its name. It…

gr-qc2023★ 2 cited

A Scale-Dependent Distance Functional between Past Light Cones in Cosmology

Mauro Carfora, Francesca Familiari

We discuss a rigorous procedure for quantifying the difference between our past lightcone and the past lightcone of the fiducial Friedmann-Lemaitre-Robertson-Walker spacetime model…

math-ph2021★ 2 cited

Ricci curvature and quantum geometry

Mauro Carfora, Francesca Familiari

We describe a few elementary aspects of the circle of ideas associated with a quantum field theory (QFT) approach to Riemannian Geometry, a theme related to how Riemannian structur…

hep-th2020★ 3 cited

On Forms, Cohomology, and BV Laplacians in Odd Symplectic Geometry

R. Catenacci, C. A. Cremonini, P. A. Grassi +1

We study the cohomology of the complexes of differential, integral and pseudo forms on odd symplectic manifolds taking the wedge product with the symplectic form as differential. W…

quant-ph2019★ 3 cited

Regularities in the transformation of the oscillating decay rate in moving unstable quantum systems

Filippo Giraldi

Decay laws of moving unstable quantum systems with oscillating decay rates are analyzed over intermediate times. The transformations of the decay laws at rest and of the intermedia…

hep-th2019★ 12 cited

-Algebra from Supermanifolds

Roberto Catenacci, Pietro Antonio Grassi, Simone Noja

Inspired by the analogy between different types of differential forms on supermanifolds and string fields in superstring theory, we construct new multilinear non-associative produc…

math.DS2018★ 36 cited

Generalized dimensions, large deviations and the distribution of rare events

Théophile Caby, Davide Faranda, Giorgio Mantica +2

Generalized dimensions of multifractal measures are usually seen as static objects, related to the scaling properties of suitable partition functions, or moments of measures of cel…

hep-th2017★ 5 cited

Wess-Zumino and Super Yang-Mills Theories in D=4 Integral Superspace

L. Castellani, R. Catenacci, P. A. Grassi

We reconstruct the action of Wess-Zumino and super-Yang-Mills theories, using integral top forms on the supermanifold . Choosing differen…

hep-th2017★ 7 cited

Super Quantum Mechanics in the Integral Form Formalism

L. Castellani, R. Catenacci, P. A. Grassi

We reformulate Super Quantum Mechanics in the context of integral forms. This framework allows to interpolate between different actions for the same theory, connected by different…

math-ph2017★ 27 cited

Neural Networks retrieving Boolean patterns in a sea of Gaussian ones

Elena Agliari, Adriano Barra, Chiara Longo +1

Restricted Boltzmann Machines are key tools in Machine Learning and are described by the energy function of bipartite spin-glasses. From a statistical mechanical perspective, they…

quant-ph2016★ 7 cited

Regular patterns in the information flow of local dephasing channels

Filippo Giraldi

Consider local dephasing processes of a qubit that interacts with a structured reservoir of frequency modes or a thermal bath, with Ohmic-like spectral density (SD). It is known th…

gr-qc2015★ 13 cited

Palatini formulation of non-local gravity

F. Briscese, M. L. Pucheu

We derive the dynamical equations for a non-local gravity model in the Palatini formalism and we discuss some of the properties of this model. We have shown that, in some specific…

hep-th2015★ 26 cited

Hodge Dualities on Supermanifolds

Leonardo Castellani, Roberto Catenacci, Pietro Antonio Grassi

We discuss the cohomology of superforms and integral forms from a new perspective based on a recently proposed Hodge dual operator. We show how the superspace constraints (a.k.a. r…

hep-th2015★ 43 cited

The Geometry of Supermanifolds and New Supersymmetric Actions

L. Castellani, R. Catenacci, P. A. Grassi

We construct the Hodge dual for supermanifolds by means of the Grassmannian Fourier transform of superforms. In the case of supermanifolds it is known that the superforms are not s…

quant-ph2010★ 2 cited

Open system approach to the internal dynamics of a model multilevel molecule

Filippo Giraldi, Francesco Petruccione

A model multilevel molecule described by two sets of rotational internal energy levels of different parity and degenerate ground states, coupled by a constant interaction, is consi…

cond-mat.stat-mech2010★ 10 cited

Equilibrium statistical mechanics on correlated random graphs

Adriano Barra, Elena Agliari

Biological and social networks have recently attracted enormous attention between physicists. Among several, two main aspects may be stressed: A non trivial topology of the graph d…

cond-mat.stat-mech2010★ 34 cited

A Hebbian approach to complex network generation

Elena Agliari, Adriano Barra

Through a redefinition of patterns in an Hopfield-like model, we introduce and develop an approach to model discrete systems made up of many, interacting components with inner degr…

quant-ph2008★ 4 cited

Entanglement entropy and the determination of an unknown quantum state

Gerardo Aquino, Filippo Giraldi

An initial unknown quantum state can be determined with a single measurement apparatus by letting it interact with an auxiliary, "Ancilla", system as proposed by Allahverdyan, Bali…

astro-ph2003★ 95 cited

Stochastic Self-Similar and Fractal Universe

G. Iovane, E. Laserra, F. S. Tortoriello

The structures formation of the Universe appears as if it were a classically self-similar random process at all astrophysical scales. An agreement is demonstrated for the present h…

astro-ph2002★ 1 cited

MEDEA: a real time imaging pipeline for pixel lensing

G. Iovane, S. Capozziello, G. Longo

Pixel lensing is a technique used to search for baryonic components of dark matter (MACHOs) and allows to detect microlensing events even when the target galaxies are not resolved…