6533b7d2fe1ef96bd125dfea
RESEARCH PRODUCT
Entropy, transverse entropy and partitions of unity
Rémi LangevinPaweł Walczaksubject
CombinatoricsTransverse planeEntropy (classical thermodynamics)Applied MathematicsGeneral MathematicsConfiguration entropyMaximum entropy probability distributionMathematics::Differential GeometryStatistical physicsJoint quantum entropyMathematicsdescription
AbstractThe topological entropy of a transformation is expressed in terms of partitions of unity. The transverse entropy of a flow tangential to a foliation is defined and expresed in a similar way. The geometric entropy of a foliation of a Riemannian manifold is compared with the transverse entropy of its geodesic flow.
year | journal | country | edition | language |
---|---|---|---|---|
1994-09-01 | Ergodic Theory and Dynamical Systems |