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In dynamical systems and ergodic theory, the concept of a wandering set formalizes a certain idea of movement and mixing. When a dynamical system has a wandering set of non-zero measure, then the system is a dissipative system. This is the opposite of a conservative system, to which the Poincaré recurrence theorem applies. Intuitively, the connection…
Wandering points, Wandering sets and dissipative systems & Overview
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wandering set measure displaystyle system dissipative sets space action omega definition point gamma ergodic conservative theorem dynamical concept said positive
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Wandering set | is a | collection of wandering points | 0.90 | text |
| Wandering set | related to Wandering points | To | 0.60 | section |
| Wandering set | related to Wandering points | Sigma | 0.60 | section |
| Wandering set | related to Wandering points | Borel | 0.60 | section |
| Wandering set | related to Wandering sets and dissipative systems | More | 0.60 | section |
| Wandering set | related to Wandering sets and dissipative systems | Omega | 0.60 | section |
| Wandering set | related to Wandering sets and dissipative systems | Gamma | 0.60 | section |
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