Ergodic Measure
An Endomorphism is called ergodic if it is true that 
Implies 
or 1, where 
. Examples of ergodic endomorphisms include the Map 
mod 1 on theunit interval with Lebesgue Measure, certain Automorphisms of the Torus, and``Bernoulli shifts'' (and more generally ``Markov shifts'').
Given a Map 
and a Sigma Algebra, there may be many ergodic measures. If there is only one ergodicmeasure, then is called uniquely ergodic. An example of a uniquely ergodic transformation is the Map 
mod 1 on the unit interval when 
is irrational. Here, the unique ergodic measure is LebesgueMeasure.
- Inverse Hyperbolic Sine
- Inverse Hyperbolic Tangent
- Inversely Similar
- Inverse Matrix
- Inverse Points
- Inverse Quadratic Interpolation
- Inverse Scattering Method
- Inverse Secant
- Inverse Semigroup
- Inverse Sine
- Inverse Tangent
- Inverse Trigonometric Functions
- Inversion
- Inversion Center
- Inversion Circle
- Inversion Operation
- Inversion Radius
- Inversive Distance
- Inversive Geometry
- Inverted Funnel
- Inverted Snub Dodecadodecahedron
- Invertible Knot
- Involuntary
- Involute
- Involution (Group)