5 citations · 8 across the 4 of their papers we have counts for
4 papers
Entropy via multiplicity
Boris Kruglikov, Martin Rypdal
The topological entropy of piecewise affine maps is studied. It is shown that singularities may contribute to the entropy only if there is angular expansion and we bound the entrop…
A piece-wise affine contracting map with positive entropy
Boris Kruglikov, Martin Rypdal
We construct the simplest chaotic system with a two-point attractor.
Spencer delta-cohomology, restrictions, characteristics and involutive symbolic PDEs
Boris Kruglikov, Valentin Lychagin
We generalize the notion of involutivity to systems of differential equations of different orders and show that the classical results due to Guillemin and Quillen relating involuti…
Dynimics and entropy in the Zhang model of Self-Organized Criticality
Boris S. Kruglikov, Martin Rypdal
We give a detailed study of dynamical properties of the Zhang model, including evaluation of topological entropy and estimates for the Lyapunov exponents and the dimension of the a…