3 citations · 3 across the 4 of their papers we have counts for
4 papers
Contractive upper triangular matrices with prescribed diagonals and superdiagonals
Axel Renard
A characterization of the matrix representation of the compressed shift acting on a finite-dimensional model space endowed with the Takenaka-Malmquist-Walsh basis, among all upper…
A criterion of contractivity for four by four upper-triangular matrices
Axel Renard
We establish an explicit criterion for determining whether a upper-triangular matrix is a contraction with respect to the Euclidean operator norm.
Schwarz-Pick type inequalities from an operator theoretical point of view
Catalin Badea, Axel Renard
We use (versions of) the von Neumann inequality for Hilbert space contractions to prove several Schwarz-Pick inequalities. Specifically, we derive an alternate proof for a multi-po…
Looking for Complexity at Phase Boundaries in Continuous Cellular Automata
Vassilis Papadopoulos, Guilhem Doat, Arthur Renard +1
One key challenge in Artificial Life is designing systems that display an emergence of complex behaviors. Many such systems depend on a high-dimensional parameter space, only a sma…