Publications (4)
Extension of functions with bounded finite differences
P. Duarte, M. J. Torres
We prove that functions defined on a lattice in a finite dimensional torus with bounded finite differences can be smoothly extended to the whole torus, and relate the bounds on the…
Formulas for Lyapunov exponents
A. T. Baraviera, P. Duarte
We derive a series summation formula for the average logarithm norm of the action of a matrix on the projective space. This formula is shown to be useful to evaluate some Lyapunov…
A discrete Faa di Bruno's formula
P. Duarte, M. J. Torres
We derive some formulas that rule the behaviour of finite differences under composition of functions with vector values and arguments.
The FP420 R&D Project: Higgs and New Physics with forward protons at the LHC
M. G. Albrow, R. B. Appleby, M. Arneodo +95
We present the FP420 R&D project, which has been studying the key aspects of the development and installation of a silicon tracker and fast-timing detectors in the LHC tunnel at 42…