5 citations · 6 across the 4 of their papers we have counts for
6 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.
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…
Tangent and normal bundles in almost complex geometry
B. Kruglikov
In this paper we define and study pseudoholomorphic vector bundles structures, particular cases of which are tangent and normal bundle almost complex structures. These are intrinsi…
Examples of integrable sub-Riemannian geodesic flows
Boris Kruglikov
Motivated by a paper of Bolsinov and Taimanov DG/9911193 we consider non-holonomic situation and exhibit examples of sub-Riemannian metrics with integrable geodesic flows and posit…
Existence of close pseudoholomorphic disks for almost complex manifolds and an applications to Kobayashi-Royden pseudonorm
B. Kruglikov
In this paper we extend the notion of the Kobayashi-Royden pseudonorm for almost complex manifolds. Its basic properties known from the complex analysis are preserved in the nonint…