Measure-preserving dynamical system
In mathematics, a measure-preserving dynamical system is an object of study in the abstract formulation of dynamical systems, and ergodic theory in particular. Measure-preserving systems obey the Poincaré recurrence theorem, and are a special case of conservative systems. They provide the formal, mathematical basis for a broad range of physical systems, and, in particular, many systems from classical mechanics (in particular, most non-dissipative systems) as well as systems in thermodynamic equilibrium.
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Measure-preserving dynamical system
In mathematics, a measure-preserving dynamical system is an object of study in the abstract formulation of dynamical systems, and ergodic theory in particular. Measure-preserving systems obey the Poincaré recurrence theorem, and are a special case of conservative systems. They provide the formal, mathematical basis for a broad range of physical systems, and, in particular, many systems from classical mechanics (in particular, most non-dissipative systems) as well as systems in thermodynamic equilibrium.
has abstract
Em matemática, um sistema dinâ ...... s em equilíbrio termodinâmico.
@pt
In mathematics, a measure-pres ...... in thermodynamic equilibrium.
@en
Maßerhaltende Abbildungen, man ...... eorie der dynamischen Systeme.
@de
Un système dynamique mesuré es ...... t étudié en théorie ergodique.
@fr
保测动力系统(Measure-preserving dyna ...... . 对任意 满足. 此时, 称T为概率空间上的一个保测变换.
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数学における測度保存力学系(そくどほぞんりきがくけい、英: ...... の抽象的形成や、特にエルゴード理論に現れる一研究対象である。
@ja
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Em matemática, um sistema dinâ ...... s em equilíbrio termodinâmico.
@pt
In mathematics, a measure-pres ...... in thermodynamic equilibrium.
@en
Maßerhaltende Abbildungen, man ...... eorie der dynamischen Systeme.
@de
Un système dynamique mesuré es ...... t étudié en théorie ergodique.
@fr
保测动力系统(Measure-preserving dyna ...... . 对任意 满足. 此时, 称T为概率空间上的一个保测变换.
@zh
数学における測度保存力学系(そくどほぞんりきがくけい、英: ...... の抽象的形成や、特にエルゴード理論に現れる一研究対象である。
@ja
label
Maßerhaltende Abbildung
@de
Measure-preserving dynamical system
@en
Sistema dinâmico preservando medida
@pt
Système dynamique mesuré
@fr
保测动力系统
@zh
測度保存力学系
@ja