A note on the entropy of a doubly stochastic operator
We investigate the properties of the entropy and conditional entropy of measurable partitions of unity in the space of essentially bounded functions defined on a Lebesgue probability space.
A probabilistic and geometric perspective.
A proof of the stability conjecture
A remark on expanding mappings
A simple mathematical model for Batesian mimicry.
A Simple Proof of Borel's Density Theorem.
A simple proof of polar decomposition in pseudo-Euclidean geometry
We give a simple direct proof of the polar decomposition for separated linear maps in pseudo-Euclidean geometry.
A spanning set for the space of super cusp forms.
A Symbolic Dynamics for Geodesics on Punctured Riemann Surfaces.
A tentative answer to the Castel-San Pietro problem.
A theorem on the structural stability of non-autonomous differential equations
A thermodynamic approach to locally symmetric manifolds of higher rank
A T-S fuzzy model-based adaptive exponential synchronization method for uncertain delayed chaotic systems: an LMI approach.
A uniform dichotomy for generic cocycles over a minimal base
We consider continuous -cocycles over a minimal homeomorphism of a compact set of finite dimension. We show that the generic cocycle either is uniformly hyperbolic or has uniform subexponential growth.
A variational approach to chaotic dynamics in periodically forced nonlinear oscillators
About chaotization mechanisms of the distributed dynamical systems which are close to discrete.
About the existence of the thermodynamic limit for some deterministic sequences of the unit circle.
Absolute continuity, Lyapunov exponents and rigidity I: geodesic flows
We consider volume-preserving perturbations of the time-one map of the geodesic flow of a compact surface with negative curvature. We show that if the Liouville measure has Lebesgue disintegration along the center foliation then the perturbation is itself the time-one map of a smooth volume-preserving flow, and that otherwise the disintegration is necessarily atomic.
Absolute Stability and Bifurcation Theory.
Absolutely continuous measures for certain maps of an interval