Results 31 to 40 of about 13,256 (291)
A lower bound for topological entropy of generic non-Anosov symplectic diffeomorphisms [PDF]
Ergodic Theory and Dynamical Systems, 2013 AbstractWe prove that a${C}^{1} $generic symplectic diffeomorphism is either Anosov or its topological entropy is bounded from below by the supremum over the smallest positive Lyapunov exponent of its periodic points. We also prove that${C}^{1} $generic symplectic diffeomorphisms outside the Anosov ones do not admit symbolic extension and, finally, we ...
Catalan, Thiago, Tahzibi, Ali
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A Generalized Topological Entropy for Analyzing the Complexity of DNA Sequences
PLoS ONE, 2014 Topological entropy is one of the most difficult entropies to be used to analyze the DNA sequences, due to the finite sample and high-dimensionality problems. In order to overcome these problems, a generalized topological entropy is introduced. The relationship between the topological entropy and the generalized topological entropy is compared, which ...
Shuilin Jin +6 more
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C1-Genericity of symplectic diffeomorphisms and lower bounds for topological entropy [PDF]
Dynamical Systems, 2017 There is a $C^1$-residual (Baire second class) subset $\mathcal{R}$ of symplectic diffeomorphisms on $2d$-dimensional manifold, $d\geq 1$, such that for every non-Anosov $f$ in $\mathcal{R}$ its topological entropy is lower bounded by the supremum of the Lyapunov exponents of their hyperbolic periodic points in the \emph{unbreakable central subbundle} (
Catalan, Thiago, Horita, Vanderlei
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On the conditional entropy of wireless networks [PDF]
, 2018 The characterization of topological uncertainty in wireless networks using the formalism of graph entropy has received interest in the spatial networks community. In this paper, we develop lower bounds on the entropy of a wireless network by conditioning
J. P. Coon +11 more
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Information transfer in signaling pathways : a study using coupled simulated and experimental data [PDF]
, 2008 Background: The topology of signaling cascades has been studied in quite some detail. However, how information is processed exactly is still relatively unknown.
Kummer, U. (Ursula) +7 more
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Nonlinear walkers and efficient exploration of congested networks
Physical Review Research, 2020 Random walks are the simplest way to explore or search a graph and have revealed a very useful tool to investigate and characterize the structural properties of complex networks from the real world.
Timoteo Carletti +3 more
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Q-entropy for general topological dynamical systems
Discrete and Continuous Dynamical Systems, 2019 The paper extends the \(q\)-entropy theory from symbolic to general topological dynamical systems. Specifically, by means of a weak Gibbs measure, the authors define the \(q\)-topological entropy and the \(q\)-metric entropy, and then study their basic properties.
Zhao, Y (Zhao, Yun) +2 more
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Holonomic and Non-Holonomic Geometric Models Associated to the Gibbs–Helmholtz Equation [PDF]
, 2023 By replacing the internal energy with the free energy, as coordinates in a “space of observables”, we slightly modify (the known three) non-holonomic geometrizations from Udriste’s et al. work.
Vasile Preda +3 more
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Multi-boundary entanglement in Chern-Simons theory and link invariants
Journal of High Energy Physics, 2017 We consider Chern-Simons theory for gauge group G at level k on 3-manifolds M n with boundary consisting of n topologically linked tori. The Euclidean path integral on M n defines a quantum state on the boundary, in the n-fold tensor product of the torus
Vijay Balasubramanian +3 more
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A commutative noncommutative fractal geometry [PDF]
, 2011 In this thesis examples of spectral triples, which represent fractal sets, are examined and new insights into their noncommutative geometries are obtained.
Samuel, Tony; id_orcid, Samuel, Anthony
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