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14 papers · 1 filter
Entropic Forms and Related Algebras
A. M. Scarfone
Starting from a very general trace-form entropy, we introduce a pair of algebraic structures endowed by a generalized sum and a generalized product. These algebras form, respective…
Constrained energy minimization and orbital stability for the NLS equation on a star graph
R. Adami, C. Cacciapuoti, D. Finco +1
We consider a nonlinear Schrödinger equation with focusing nonlinearity of power type on a star graph , written as , wh…
Gauge equivalence among quantum nonlinear many body systems
A. M. Scarfone
Transformations performing on the dependent and/or the independent variables are an useful method used to classify PDE in class of equivalence. In this paper we consider a large cl…
Large time behavior of the heat kernel of two-dimensional magnetic Schroedinger operators
Hynek Kovarik
We study the heat semigroup generated by two-dimensional Schroedinger operators with compactly supported magnetic field. We show that if the field is radial, then the large time be…
Non-local first-order modelling of crowd dynamics: a multidimensional framework with applications
Luca Bruno, Andrea Tosin, Paolo Tricerri +1
In this work a physical modelling framework is presented, describing the intelligent, non-local, and anisotropic behaviour of pedestrians. Its phenomenological basics and constitut…
Quantum Tetrahedra
Mauro Carfora, Annalisa Marzuoli, Mario Rasetti
We discuss in details the role of Wigner 6j symbol as the basic building block unifying such different fields as state sum models for quantum geometry, topological quantum field th…