Modern meta-heuristics based on nonlinear physics processes: A review of models and design procedures
S Salcedo-Sanz - Physics Reports, 2016 - Elsevier
Meta-heuristic algorithms are problem-solving methods which try to find good-enough
solutions to very hard optimization problems, at a reasonable computation time, where …
solutions to very hard optimization problems, at a reasonable computation time, where …
Circle packings, renormalizations and subdivision rules
Y Luo, Y Zhang - arXiv preprint arXiv:2308.13151, 2023 - arxiv.org
In this paper, we use iterations of skinning maps on Teichm\" uller spaces to study circle
packings. This allows us to develop a renormalization theory for circle packings whose …
packings. This allows us to develop a renormalization theory for circle packings whose …
Expanding thurston maps
M Bonk, D Meyer - arXiv preprint arXiv:1009.3647, 2010 - arxiv.org
We study the dynamics of Thurston maps under iteration. These are branched covering
maps $ f $ of 2-spheres $ S^ 2$ with a finite set $\mathop {post}(f) $ of postcritical points. We …
maps $ f $ of 2-spheres $ S^ 2$ with a finite set $\mathop {post}(f) $ of postcritical points. We …
Weak expansion properties and a large deviation principle for coarse expanding conformal systems
Z Li, H Zheng - arXiv preprint arXiv:2311.07305, 2023 - arxiv.org
In this paper, we prove that for a metric coarse expanding conformal system $ f\:(\mathfrak
{X} _1, X)\rightarrow (\mathfrak {X} _0, X) $ with repellor $ X $, the map $ f| _X\: X\rightarrow …
{X} _1, X)\rightarrow (\mathfrak {X} _0, X) $ with repellor $ X $, the map $ f| _X\: X\rightarrow …
Invariant Peano curves of expanding Thurston maps
D Meyer - 2013 - projecteuclid.org
We consider Thurston maps, ie, branched covering maps f: S 2→ S 2 that are post-critically
finite. In addition, we assume that f is expanding in a suitable sense. It is shown that each …
finite. In addition, we assume that f is expanding in a suitable sense. It is shown that each …
Combinatorial models of expanding dynamical systems
V Nekrashevych - Ergodic Theory and Dynamical Systems, 2014 - cambridge.org
We prove homotopical rigidity of expanding dynamical systems, by showing that they are
determined by a group-theoretic invariant. We use this to show that the Julia set of every …
determined by a group-theoretic invariant. We use this to show that the Julia set of every …
Invariant Jordan curves of Sierpiński carpet rational maps
Y Gao, P Haïssinsky, D Meyer, J Zeng - Ergodic Theory and …, 2018 - cambridge.org
Invariant Jordan curves of Sierpinski carpet rational maps Page 1 Ergod. Th. & Dynam. Sys.
(2018), 38, 583–600 doi:10.1017/etds.2016.47 c Cambridge University Press, 2016 Invariant …
(2018), 38, 583–600 doi:10.1017/etds.2016.47 c Cambridge University Press, 2016 Invariant …
Ergodic theory of expanding Thurston maps
Z Li - 2017 - Springer
This monograph came out of my thesis work under the supervision of my Ph. D. advisor
Mario Bonk during my graduate studies at the University of Michigan, Ann Arbor, and later at …
Mario Bonk during my graduate studies at the University of Michigan, Ann Arbor, and later at …
Analytically one-dimensional planes and the Combinatorial Loewner Property
GC David, S Eriksson-Bique - arXiv preprint arXiv:2408.17279, 2024 - arxiv.org
It is a major problem in analysis on metric spaces to understand when a metric space is
quasisymmetric to a space with strong analytic structure, a so-called Loewner space. A …
quasisymmetric to a space with strong analytic structure, a so-called Loewner space. A …
Invariant graphs in Julia sets and decompositions of rational maps
G Cui, Y Gao, J Zeng - arXiv preprint arXiv:2408.12371, 2024 - arxiv.org
In this paper, we prove that for any post-critically finite rational map $ f $ on the Riemann
sphere $\overline {\mathbb {C}} $ and for each sufficiently large integer $ n $, there exists a …
sphere $\overline {\mathbb {C}} $ and for each sufficiently large integer $ n $, there exists a …