منابع مشابه
Ergodic theory of chaos and strange attractors
Physical and numerical experiments show that deterministic noise, or chaos, is ubiquitous. While a good understanding of the onset of chaos has been achieved, using as a mathematical tool the geometric theory of differentiable’dynamical systems, moderately excited chaotic systems require new tools, which are provided by the ergodic theory o f dynamical systems. This theory has reached a stage w...
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We investigate the hypothesis that cell types are attractors. This hypothesis was criticized with the fact that real gene networks are noisy systems and, thus, do not have attractors [Kadanoff, L., Coppersmith, S., Aldana, M., 2002. Boolean Dynamics with Random Couplings. http://www.citebase.org/abstract?id=oai:arXiv.org:nlin/0204062]. Given the concept of "ergodic set" as a set of states from ...
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This perspective highlights the mean ergodic theorem established by John von Neumann and the pointwise ergodic theorem established by George Birkhoff, proofs of which were published nearly simultaneously in PNAS in 1931 and 1932. These theorems were of great significance both in mathematics and in statistical mechanics. In statistical mechanics they provided a key insight into a 60-y-old fundam...
متن کاملNew Attractors
We derive new algebraic attractor equations describing supersymmetric flux vacua of type IIB string theory. The first term in these equations, proportional to the gravitino mass (the central charge), is similar to the attractor equations for moduli fixed by the charges near the horizon of the supersymmetric black holes. The second term does not have a counterpart in the theory of black hole att...
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do in biology and is, I think, one of the great ways to do innovative work.... The diversity in the living world is so large, and since everything is connected in some way, let’s find the best one.” Research focused on human and medical application is certainly an important component in neuroscience. But such research tends to dwell more on technological improvements rather than on basic discov...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1989
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1989-0983869-1