 Skew product (source code)

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= Skew product
{title2=$F(x,y)=(R(x),S_x(y))$}

A skew product evolves a base coordinate by a <dynamical system> $R$ and a fibre coordinate by a map $S_x$ depending on the current base coordinate: $F(x,y)=(R(x),S_x(y))$. The base evolution is independent of the fibre, while the fibre may depend on the base. Continuity or measurability is imposed according to the setting. An <irrational skew shift> is a useful affine example on a <torus>.

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