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Generating Markov-Chain Transitions Quickly: II

ORSA Journal on Computing, 1991
A predecessor to this paper gives a way to generate transitions in continuous-time Markov chains. It is fast when a “similarity” condition holds. Exploiting a balanced binary search tree, we reduce the computational complexity of that method. INFORMS Journal on Computing, ISSN 1091-9856, was published as ORSA Journal on Computing from 1989 to 1995 ...
Fox, Bennett L., Young, Andrew R.
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Phase transitions in nonlinear oscillator chains

Physical Review E, 1996
It is shown numerically that a one-dimensional system of coupled disparate nonlinear oscillators undergoes a phase transition from a synchronized to a desynchronized state as the range of interactions is decreased. Using a coupling that decreases with distance as ${r}^{\ensuremath{-}\ensuremath{\alpha}}$, the functional dependence of the critical ...
, Rogers, , Wille
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Shadowable chain transitive sets

Journal of Difference Equations and Applications, 2013
Let f be a diffeomorphism of a closed manifold M, and let be a closed f-invariant set. In this paper, by applying the reasoning developed in Wen et al. [J. Differ. Equ. 246 (2009), pp. 340–357] based on Liao, we study chain transitive sets in view of shadowing theory, and it is proved that is chain transitive and -stably shadowing if and only if is ...
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Phase transitions in Ising Chains?

AIP Conference Proceedings, 2009
An open question in the study of the spin‐1/2 Ising model is the solution of the two‐dimensional case in the presence of a magnetic field. A possible answer is based on the study of L‐coupled linear chains in the limit of large L. Results reported in the literature show that a dimensional crossover from the one to the two dimensional model does not ...
Ferdinando Mancini   +4 more
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Generating Markov-Chain Transitions Quickly: I

ORSA Journal on Computing, 1990
We give a way to generate transitions directly from a compact representation of the generator of a continuous-time Markov chain corresponding to a class that includes many queueing networks and reliability problems. Under specified conditions, this is (provably) faster than generating these transitions via a future-event schedule.
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Chain Mixing and Chain Transitive Iterated Function Systems

Journal of Dynamical Systems and Geometric Theories, 2020
This paper considers some properties in topological dynamical systems in iterated function systems.
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Strong Chain Transitivity via Uniformity

Qualitative Theory of Dynamical Systems
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nematic-Smectic Transition of Semiflexible Chains

Physical Review Letters, 1996
The theory of the nematic-smectic phase transition of uniform semiflexible chains with hard-core repulsion is presented. The flexibility of the chains is shown to result in a strong first-order transition. The calculated spinodal of the uniform nematic phase and the period of the modulation instability are consistent with recent experiments.
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Robust chain transitive vector fields

Asian-European Journal of Mathematics, 2015
Let M be a closed n(≥2)-dimensional smooth Riemannian manifold and let X be a vector field on M. In this paper, we show that the robust chain transitive set is hyperbolic if and only if there are a C1-neighborhood [Formula: see text] of X and a compact neighborhood U of the chain transitive set such that for any [Formula: see text], the index of the ...
Lee, Manseob, Lee, Seunghee
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Shadowing and internal chain transitivity

Fundamenta Mathematicae, 2013
The main result of this paper is that a map f : X → X which has shadowing and for which the space of ω-limits sets is closed in the Hausdorff topology has the property that a set A ⊆ X is an ω-limit set if and only if it is closed and internally chain transitive.
Jonathan Meddaugh, Brian E. Raines
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