Last Updated：2025/11/30
(mathematics) A tool used in dynamical systems theory, allowing the methods of symbolic dynamics to be applied to the study of hyperbolic systems. By using a Markov partition, the system can be made to resemble a discrete-time Markov process, with the long-term dynamical characteristics of the system represented as a Markov shift.
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Markov partition
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Source Word
Markov partition
Noun
(mathematics)
A
tool
used
in
dynamical
systems
theory,
allowing
the
methods
of
symbolic
dynamics
to
be
applied
to
the
study
of
hyperbolic
systems.
By
using
a
Markov
partition,
the
system
can
be
made
to
resemble
a
discrete-time
Markov
process,
with
the
long-term
dynamical
characteristics
of
the
system
represented
as
a
Markov
shift.
Japanese Meaning
動的系理論において、記号的力学系の手法を適用し、双曲的システムを離散時間のマルコフ過程に類似させるための手段。これによりシステムの長期的なダイナミクスをマルコフ移動として表現できる。
Sense（1）
(mathematics)
A
tool
used
in
dynamical
systems
theory,
allowing
the
methods
of
symbolic
dynamics
to
be
applied
to
the
study
of
hyperbolic
systems.
By
using
a
Markov
partition,
the
system
can
be
made
to
resemble
a
discrete-time
Markov
process,
with
the
long-term
dynamical
characteristics
of
the
system
represented
as
a
Markov
shift.
（ plural ）
