Metastability and Dominant Eigenvalues of Transfer Operators

By Wilhelm Huisinga, Bernd Schmidt. 2006

69 citations recorded by the source corpus.

Subfields: Molecular Biology, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/3d712a76873bb1e82d8f532c74fa690c1b99dc96

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In Molecular Biology

1. Gary Froyland
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1. Kathrin Padberg
2. Gary Froyland
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Citations in the corpus

• Almost-invariant sets and invariant manifolds — Connecting probabilistic and geometric descriptions of coherent structures in flows (2009, methodology): “orders the eigenvalues of Rn as 1 = λ1 > λ2 > λ3 > · · ·, then the sets identified by an eigenvector vk n of λk using (16) are less leaky than those identified by an eigenvector vm n with m > k; see [44] for a formal statement.”
• An analytic framework for identifying finite-time coherent sets in time-dependent dynamical systems (2012, background): “The main difference is that [31] is concerned with the dynamics of a reversible Markov operator at equilibrium and seeks fixed metastable sets, while here we have no assumption on reversibility of the dynamics, no restriction on the choice of μ (μ need not, for example, be invariant under the dynami”