分散
发表于 2025-3-23 10:24:09
Invariant Measures,We start by giving a brief overview of some ideas and results to which we will come back later in detail.
酷热
发表于 2025-3-23 16:21:14
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Ambulatory
发表于 2025-3-23 19:42:59
Other Probabilistic Results,A number of questions of probabilistic origin have been investigated in the class of stochastic processes generated by dynamical systems. We describe some of the results below.
CHYME
发表于 2025-3-24 02:05:12
Pierre Collet,Jean-Pierre EckmannIncludes supplementary material:
浸软
发表于 2025-3-24 03:07:55
Theoretical and Mathematical Physicshttp://image.papertrans.cn/c/image/234908.jpg
AVOW
发表于 2025-3-24 07:18:57
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朴素
发表于 2025-3-24 12:20:41
Outline of the CMEA Game-theoretic Designlize this. One formalization will be based on partitioning the phase space into pieces and considering that the experiment will only tell us in which piece of the partition (called an atom) a point currently is, but not where inside this piece it happens to be. This is analogous to classical coarse-
insurrection
发表于 2025-3-24 15:13:01
https://doi.org/10.1007/BFb0058648 also connect it to the notion of invariant measure. That is, we account (in particular in the natural case of the Physical measure) for how often (or how long) a trajectory stays in a particular region. One can ask how much information this gives us about the long-time dynamics of the system and th
使厌恶
发表于 2025-3-24 21:45:30
Controllability of multidimensional systems, knowing whether the necessary mathematical assumptions are satisfied by a given system. But it turns out that it is very useful, in concrete examples, to act “as if” they were true. We do not enter into the many details which have been studied in the experimental-theoretical literature, such as opt
DECRY
发表于 2025-3-25 02:53:35
1864-5879 ior in time of maps and ?ows, called dynamical systems. The theory of chaotic dynamics has a deep impact on our understanding of - ture, and we sketch here our view on this question. The strength of this theory comes from its generality, in that it is not limited to a particular equation or scienti?