6533b7d2fe1ef96bd125dfea

RESEARCH PRODUCT

Entropy, transverse entropy and partitions of unity

Rémi LangevinPaweł Walczak

subject

CombinatoricsTransverse planeEntropy (classical thermodynamics)Applied MathematicsGeneral MathematicsConfiguration entropyMaximum entropy probability distributionMathematics::Differential GeometryStatistical physicsJoint quantum entropyMathematics

description

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.

https://doi.org/10.1017/s0143385700008026