3 citations · 6 across the 7 of their papers we have counts for
10 papers
Testing a cellular automata construction method to obtain 9-variable cryptographic Boolean functions
Thomas Prévost, Bruno Martin
We propose a method for constructing 9-variable cryptographic Boolean functions from the iterates of 5-variable cellular automata rules. We then analyze, for important cryptographi…
Reversible primes
Cécile Dartyge, Bruno Martin, Joël Rivat +2
For an -bit positive integer written in binary as where, , , $\vare…
On the non-vanishing of certain Dirichlet series
Sandro Bettin, Bruno Martin
Given , we study the vanishing of the Dirichlet series at the point , where is a periodic function modulo a pri…
Universality of causal graph dynamics
Simon Martiel, Bruno Martin
Causal Graph Dynamics generalize Cellular Automata, extending them to bounded degree, time varying graphs. The dynamics rewrite the graph at each time step with respect to two phys…
Multifractal analysis of the Brjuno function
Stéphane Jaffard, Bruno Martin
We determine the -exponent (according to the Calderón-Zygmund definition) of the Brjuno function everywhere, thus showing that it is a new example of multifractal function.…
Intrinsic Universality of Causal Graph Dynamics
Simon Martiel, Bruno Martin
Causal graph dynamics are transformations over graphs that capture two important symmetries of physics, namely causality and homogeneity. They can be equivalently defined as contin…