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.
Blink
- 2025-07-18T00:00:00.000000Z
Twisted
- 2025-05-30T00:00:00.000000Z
Feed The Fire
- 2025-04-25T00:00:00.000000Z
Bad B
- 2025-04-11T00:00:00.000000Z
Body & Soul
- 2025-03-21T00:00:00.000000Z
Vibin’
- 2025-01-24T00:00:00.000000Z
Shaka
- 2024-10-04T00:00:00.000000Z
Disco Demon
- 2024-09-27T00:00:00.000000Z
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
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
Similar Artists