6533b7dcfe1ef96bd1272936

RESEARCH PRODUCT

On a normal form of symmetric maps of [0, 1]

H. RüssmannE. Zehnder

subject

Discrete mathematicsPure mathematicsLebesgue measureLebesgue's number lemmaStatistical and Nonlinear Physics58F20Absolute continuityLebesgue integrationLebesgue–Stieltjes integrationsymbols.namesakeNonlinear system28D05symbolsInvariant (mathematics)Borel measureMathematical PhysicsMathematics

description

A class of continuous symmetric mappings of [0, 1] into itself is considered leaving invariant a measure absolutely continuous with respect to the Lebesgue measure.

https://doi.org/10.1007/bf01200110