92 citations · 316 across the 12 of their papers we have counts for
13 papers
"Goldfish'' equations for infinitely many particles
Francois Leyvraz
The ``goldfish'' equations, so named because of their striking beauty, are a system of nonlinear ODE's, where is an arbitrary integer. They can be solved exactly in a very…
Weyl channels for multipartite systems
Tomas Basile, Jose Alfredo de Leon, Alejandro Fonseca +2
Quantum channels, a subset of quantum maps, describe the unitary and non-unitary evolution of quantum systems. We study a generalization of the concept of Pauli maps to the case of…
Exact asymptotic solution of an aggregation model with a bell-shaped distribution
Francois Leyvraz
We present in a detailed manner the scaling theory of irreversible aggregation characterized by the set of reaction rates , as well as a minor generalisation thereo…
New algebraically solvable systems of two autonomous first-order ordinary differential equations with purely quadratic right-hand sides
F. Calogero, R. Conte, F. Leyvraz
We identify many new solvable subcases of the general dynamical system characterized by two autonomous first-order ordinary differential equations with purely quadratic right-hand…
The peculiar (monic) polynomials, the zeros of which equal their coefficients
Francesco Calogero, Francois Leyvraz
We evaluate the number of monic polynomials (of arbitrary degree ) the zeros of which equal their coefficients when these are allowed to take arbitrary complex values. In the fo…
Quantum estimation of unknown parameters
Esteban Martinez, Carlos Pineda, François Leyvraz +1
We discuss the problem of finding the best measurement strategy for estimating the value of a quantum system parameter. In general the optimum quantum measurement, in the sense tha…