scholarly journals Self-similar sequence transformation for critical exponents

2021 ◽  
pp. 127899
Author(s):  
V.I. Yukalov ◽  
E.P. Yukalova
Keyword(s):  
Critical Exponents ◽  
Similar Sequence ◽  
Self Similar ◽  
Sequence Transformation

scholarly journals SPECTRUM OF THE LAPLACIAN OF AN ASYMMETRIC FRACTAL GRAPH

2006 ◽  
Vol 49 (1) ◽  
pp. 101-113 ◽  
Author(s):  
Jonathan Jordan
Keyword(s):  
Similar Sequence ◽  
Graph Laplacians ◽  
Self Similar ◽  
Spectrum Of The Laplacian

AbstractWe consider a simple self-similar sequence of graphs that does not satisfy the symmetry conditions that imply the existence of a spectral decimation property for the eigenvalues of the graph Laplacians. We show that, for this particular sequence, a very similar property to spectral decimation exists, and we obtain a complete description of the spectra of the graphs in the sequence.

Non-Classical Diffusion Boxes Using the Golden Binary Self-Similar Sequence

2001 ◽  
Vol 56 (1) ◽  
pp. 19
Author(s):  
Ruben Vazquez-Medina ◽  
Hector Manuel Perez-Meana ◽  
Jose Luis Del-Rio-Correa
Keyword(s):  
Similar Sequence ◽  
Classical Diffusion ◽  
Self Similar

Non-Classical Diffusion Boxes Using the Golden Binary Self-Similar Sequence

2001 ◽  
Vol 56 (4-5) ◽  
pp. 16
Author(s):  
Ruben Vazquez-Medina ◽  
Hector Manuel Perez-Meana ◽  
Jose Luis Del-Rio-Correa
Keyword(s):  
Similar Sequence ◽  
Classical Diffusion ◽  
Self Similar

scholarly journals Erratum to: On critical exponents for self-similar collapse

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Ehsan Hatefi ◽  
Riccardo Antonelli
Keyword(s):  
Critical Exponents ◽  
Self Similar

The Authors order and affiliations order for author Ehsan Hatefi has been modified

scholarly journals On critical exponents for self-similar collapse

2020 ◽  
Vol 2020 (3) ◽  
Author(s):  
Riccardo Antonelli ◽  
Ehsan Hatefi
Keyword(s):  
Critical Exponents ◽  
Self Similar

scholarly journals On perturbation theory and critical exponents for self-similar systems

2021 ◽  
Vol 81 (1) ◽  
Author(s):  
Ehsan Hatefi ◽  
Adrien Kuntz
Keyword(s):  
Perturbation Theory ◽  
Critical Exponents ◽  
Linear Perturbation ◽  
Self Similar Solution ◽  
Critical Solutions ◽  
Parabolic Form ◽  
The Subject ◽  
Self Similar ◽  
Similar Solutions ◽  
Perturbation Equations

AbstractGravitational critical collapse in the Einstein-axion-dilaton system is known to lead to continuous self-similar solutions characterized by the Choptuik critical exponent $$\gamma $$ γ . We complete the existing literature on the subject by computing the linear perturbation equations in the case where the axion-dilaton system assumes a parabolic form. Next, we solve the perturbation equations in a newly discovered self-similar solution in the hyperbolic case, which allows us to extract the Choptuik exponent. Our main result is that this exponent depends not only on the dimensions of spacetime but also the particular ansatz and the critical solutions that one started with.

Sign in / Sign up

Export Citation Format

Share Document