topological transitivity - definition. What is topological transitivity
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MATHEMATICAL DESCRIPTION OF THERMODYNAMIC MIXING
Weak mixing; Topological mixing; Strong mixing; Mixing system; Topological transitivity; Topologically transitive; Topologically mixing; Mixing (stochastics); Alpha mixing; Stochastic mixing
  • Repeated application of the [[baker's map]] to points colored red and blue, initially separated. The baker's map is mixing, shown by the red and blue points being completely mixed after several iterations.

Mixing (mathematics)         
In mathematics, mixing is an abstract concept originating from physics: the attempt to describe the irreversible thermodynamic process of mixing in the everyday world: mixing paint, mixing drinks, industrial mixing, etc.
Topological property         
OBJECT OF STUDY IN THE CATEGORY OF TOPOLOGICAL SPACES
Topological invariant; Topological properties
In topology and related areas of mathematics, a topological property or topological invariant is a property of a topological space that is invariant under homeomorphisms. Alternatively, a topological property is a proper class of topological spaces which is closed under homeomorphisms.
Topological string theory         
STRING THEORY WITH A TOPOLOGICALLY TWISTED 𝒩=(2,2) SIGMA-MODEL ACTION ON THE WORLDSHEET AND 6 TARGET-SPACE DIMENSIONS
Topological M-theory; Topological A-model; Topological B-model
In theoretical physics, topological string theory is a version of string theory. Topological string theory appeared in papers by theoretical physicists, such as Edward Witten and Cumrun Vafa, by analogy with Witten's earlier idea of topological quantum field theory.

ويكيبيديا

Mixing (mathematics)

In mathematics, mixing is an abstract concept originating from physics: the attempt to describe the irreversible thermodynamic process of mixing in the everyday world: e.g. mixing paint, mixing drinks, industrial mixing.

The concept appears in ergodic theory—the study of stochastic processes and measure-preserving dynamical systems. Several different definitions for mixing exist, including strong mixing, weak mixing and topological mixing, with the last not requiring a measure to be defined. Some of the different definitions of mixing can be arranged in a hierarchical order; thus, strong mixing implies weak mixing. Furthermore, weak mixing (and thus also strong mixing) implies ergodicity: that is, every system that is weakly mixing is also ergodic (and so one says that mixing is a "stronger" notion than ergodicity).