arXiv subjects

G. Inferrera

Publications and source records attributed to G. Inferrera.

3 recordsLinked to original sources

arXiv2025

Direct approach to approximate conservation laws

In this paper, non-variational systems of differential equations containing small terms are considered, and a consistent approach for deriving approximate conservation laws through the introduction of approximate Lagrange multipliers is developed. The proposed formulation of the approximate direct method starts by assuming the Lagrange multipliers to be dependent on the small parameter; then, by expanding the dependent variables in power series of the small parameter, we consider the consistent expansion of all the involved quantities (equations and Lagrange multipliers) in such a way the basic principles of perturbation analysis are not violated. Consequently, a theorem leading to the determination of approximate multipliers whence approximate conservation laws arise is proved, and the role of approximate Euler operators emphasized. Some applications of the procedure are presented.

math-ph↗

arXiv2025

Fermionic operatorial model of a system with competitive and cooperative interactions

An operatorial model of a system made by $N$ agents interacting each other with mechanisms that can be thought of as cooperative or competitive is presented. We associate to each agent an annihilation, creation and number fermionic operator, and interpret the mean values of the number operators over an initial condition as measures of the agents' wealth status. The dynamics of the system is assumed to be ruled by a Hermitian Hamiltonian operator $\mathcal{H}$, and the classical Heisenberg view is used. The dynamical outcome is then enriched by using the recently introduced variant of $(\mathcal{H},\rho)$--induced dynamics, where $\rho$ denotes a rule that periodically modifies some of the parameters involved in $\mathcal{H}$. The agents are partitioned in three subgroups, one interacting each other only with a competitive mechanism, one interacting each other only with a cooperative mechanism, and one opportunist subgroup able to compete and cooperate. Some numerical simulations show that the $(\mathcal{H},\rho)$--induced dynamics approach makes, in all the cases, the cooperative subgroup definitely to be more efficient in improving its wealth status than the other subgroups.

physics.soc-ph↗

arXiv2025

Operatorial formulation of crimo-taxis phenomena in a street

In this paper, the ladder operators and a quantum-like approach are used to construct an operatorial version of a model dubbed crimo-taxis. In a classical framework, the crimo-taxis model is represented by reaction-diffusion partial differential equations describing a population divided into three interacting subgroups (ordinary citizens, drug users/dealers, and law enforcement personnel). In this new framework, the agents of the subgroups are modeled using annihilation, creation, and number fermionic operators, and their time evolution is assumed to be ruled by a Hermitian time-independent Hamiltonian operator suitable to capture the interactions among the subgroups. Furthermore, a recent extension of the standard Heisenberg view, namely $(\mathcal{H},\rho)$--induced dynamics, is also taken into account. Two scenarios, characterized by different initial spatial distributions of the subgroups, are considered. The results of some numerical simulations in a one--dimensional setting are presented and discussed.

physics.soc-ph↗