SUBSHIFT
In symbolic dynamics and related branches of mathematics, a shift space or subshift is a set of infinite words that represent the evolution of a discrete system. In fact, shift spaces and symbolic dynamical systems are often considered synonyms. The most widely studied shift spaces are the subshifts of finite type and the sofic shifts.
In the classical framework a shift space is any subset
Λ
{\displaystyle \Lambda }
of
A
Z
:=
{
(
x
i
)
i
∈
Z
:
x
i
∈
A
∀
i
∈
Z
}
{\displaystyle A^{\mathbb {Z} }:=\{(x_{i})_{i\in \mathbb {Z} }:\ x_{i}\in A\ \forall i\in \mathbb {Z} \}}
, where
A
{\displaystyle A}
is a finite set, which is closed for the Tychonov topology and invariant by translations. More generally one can define a shift space as the closed and translation-invariant subsets of
A
G
{\displaystyle A^{\mathbb {G} }}
, where
A
{\displaystyle A}
is any non-empty set and
G
{\displaystyle \mathbb {G} }
is any monoid.
More Acid
- 2024-06-14T00:00:00.000000Z
Pick Ya Poison
- 2024-02-16T00:00:00.000000Z
Reasons
- 2024-01-12T00:00:00.000000Z
Move With Tha
- 2023-12-01T00:00:00.000000Z
Freak Out
- 2023-10-27T00:00:00.000000Z
Unexpected
- 2023-10-06T00:00:00.000000Z
Bumpin'
- 2023-09-15T00:00:00.000000Z
Is It Me
- 2023-06-30T00:00:00.000000Z
Breakout
- 2023-04-07T00:00:00.000000Z
Dreamer
- 2023-01-13T00:00:00.000000Z
Pressure
- 2022-12-02T00:00:00.000000Z
Higher
- 2022-08-12T00:00:00.000000Z
Waiting
- 2022-07-29T00:00:00.000000Z
Furious!
- 2022-05-20T00:00:00.000000Z
Club 95
- 2022-04-29T00:00:00.000000Z
Hustler
- 2022-04-15T00:00:00.000000Z
The Rhythm
- 2022-03-04T00:00:00.000000Z
Shutdown
- 2022-02-04T00:00:00.000000Z
Money Zone
- 2021-12-07T00:00:00.000000Z
In My Bag
- 2021-11-12T00:00:00.000000Z
Raise It Up
- 2021-10-01T00:00:00.000000Z
Similar Artists