scholarly journals Markov partitions for toral ℤ 2 -rotations featuring Jeandel–Rao Wang shift and model sets

2021 ◽  
Vol 4 ◽  
pp. 283-324
Author(s):  
Sébastien Labbé
Keyword(s):  
Markov Partitions ◽  
Model Sets

Model sets with positive entropy in Euclidean cut and project schemes

2019 ◽  
Vol 52 (5) ◽  
pp. 1073-1106 ◽  
Author(s):  
Tobias JÄGER ◽  
Daniel LENZ ◽  
Christian OERTEL
Keyword(s):  
Positive Entropy ◽  
Model Sets

scholarly journals Design of a structure model set for inorganic compounds based on ping-pong balls linked with snap buttons

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Ryo Horikoshi ◽  
Hiroyuki Higashino ◽  
Yoji Kobayashi ◽  
Hiroshi Kageyama
Keyword(s):  
High School Students ◽  
Coordination Compounds ◽  
Periodic Structures ◽  
Inorganic Compounds ◽  
Structure Model ◽  
School Students ◽  
Model Sets ◽  
Ping Pong ◽  
Hands On ◽  
Model Set

Abstract Structure model sets for inorganic compounds are generally expensive; their distribution to all students in a class is therefore usually impractical. We have therefore developed a structure model set to illustrate inorganic compounds. The set is constructed with inexpensive materials: ping-pong balls, and snap buttons. The structure model set can be used to illustrate isomerism in coordination compounds and periodic structures of ceramic perovskites. A hands-on activity using the structure model set was developed for high school students and was well-received by them. Despite the concepts being slightly advanced for them, the students’ retention of the knowledge gained through the activity was tested a week after they completed the activity and was found to be relatively high, demonstrating the usefulness of the activity based on the structure model set.

Efficient Dynamics Estimation With Adaptive Model Sets

2021 ◽  
Vol 6 (2) ◽  
pp. 2373-2380
Author(s):  
Ellis Ratner ◽  
Andrea Bajcsy ◽  
Terrence Fong ◽  
Claire J. Tomlin ◽  
Anca D. Dragan
Keyword(s):  
Adaptive Model ◽  
Model Sets

Robust control from data via uncertainty model sets identification

2004 ◽  
Vol 14 (11) ◽  
pp. 945-957 ◽  
Author(s):  
S. Malan ◽  
M. Milanese ◽  
D. Regruto ◽  
M. Taragna
Keyword(s):  
Robust Control ◽  
Model Sets ◽  
Uncertainty Model

Construction of Markov Partitions in PL1D Maps

2013 ◽  
Vol 60 (10) ◽  
pp. 702-706 ◽  
Author(s):  
Toni Draganov Stojanovski ◽  
Ljupco Kocarev
Keyword(s):  
Markov Partitions

scholarly journals A virtual alternative to molecular model sets: a beginners’ guide to constructing and visualizing molecules in open-source molecular graphics software

2021 ◽  
Vol 14 (1) ◽  
Author(s):  
Siripreeya Phankingthongkum ◽  
Taweetham Limpanuparb
Keyword(s):  
General Chemistry ◽  
Open Source ◽  
Undergraduate Students ◽  
Teaching And Learning ◽  
Molecular Model ◽  
Bond Line ◽  
First Year ◽  
Molecular Graphics ◽  
Model Sets ◽  
Graphics Software

Abstract Objective The application of molecular graphics software as a simple and free alternative to molecular model sets for introductory-level chemistry learners is presented. Results Based on either Avogadro or IQmol, we proposed four sets of tasks for students, building basic molecular geometries, visualizing orbitals and densities, predicting polarity of molecules and matching 3D structures with bond-line structures. These topics are typically covered in general chemistry for first-year undergraduate students. Detailed step-by-step procedures are provided for all tasks for both programs so that instructors and students can adopt one of the two programs in their teaching and learning as an alternative to molecular model sets.

scholarly journals Symbolic dynamics for non-uniformly hyperbolic systems

2020 ◽  
pp. 1-68
Author(s):  
YURI LIMA
Keyword(s):  
Symbolic Dynamics ◽  
Hyperbolic Systems ◽  
Markov Partition ◽  
Equilibrium Measures ◽  
Markov Partitions ◽  
Recent Advances ◽  
Closed Orbits ◽  
Symbolic Extension ◽  
Uniformly Hyperbolic Systems

Abstract This survey describes the recent advances in the construction of Markov partitions for non-uniformly hyperbolic systems. One important feature of this development comes from a finer theory of non-uniformly hyperbolic systems, which we also describe. The Markov partition defines a symbolic extension that is finite-to-one and onto a non-uniformly hyperbolic locus, and this provides dynamical and statistical consequences such as estimates on the number of closed orbits and properties of equilibrium measures. The class of systems includes diffeomorphisms, flows, and maps with singularities.

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