When winning sets have full dimension

2021 ◽  
Vol 14 (2) ◽  
pp. 195-207
Author(s):  
Pedro Birindiba ◽  
Katrin Gelfert
Keyword(s):  
Fractals ◽  
2007 ◽  
Vol 15 (01) ◽  
pp. 63-72 ◽  
Author(s):  
JÖRG NEUNHÄUSERER

We develop the dimension theory for a class of linear solenoids, which have a "fractal" attractor. We will find the dimension of the attractor, proof formulas for the dimension of ergodic measures on this attractor and discuss the question of whether there exists a measure of full dimension.


Author(s):  
Maikel Ballester

Rate coefficients of bi-molecular chemical reactions are fundamental for kinetic models. The rate coefficient dependence on temperature is commonly extracted from the analyses of the reaction minimum energy path. However, a full dimension study of the same reaction may suggest a different asymptotic low-temperature limit in the rate constant than the obtained from the energetic profile.


2019 ◽  
Vol 68 (8) ◽  
pp. 7733-7746 ◽  
Author(s):  
Rui Dong ◽  
Ang Li ◽  
Wibowo Hardjawana ◽  
Yonghui Li ◽  
Xiaohu Ge ◽  
...  

2005 ◽  
Vol 79 (1) ◽  
pp. 1-10 ◽  
Author(s):  
Zhen-Qi Li ◽  
An-Min Huang

AbstractIn this paper we prove that minimal 3-spheres of CR type with constant sectional curvature c in the complex projective space CPn are all equivariant and therefore the immersion is rigid. The curvature c of the sphere should be c = 1/(m2-1) for some integer m≥ 2, and the full dimension is n = 2m2-3. An explicit analytic expression for such an immersion is given.


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