Julia sets and complex singularities in diamond-like hierarchical Potts models

2005 ◽  
Vol 48 (3) ◽  
pp. 388 ◽  
Author(s):  
Jianyong QIAO
Keyword(s):  
Julia Sets ◽  
Potts Models ◽  
Complex Singularities

scholarly journals Julia sets and complex singularities in hierarchical Ising models

1991 ◽  
Vol 141 (3) ◽  
pp. 453-474 ◽  
Author(s):  
P. M. Bleher ◽  
M. Yu. Lyubich
Keyword(s):  
Julia Sets ◽  
Ising Models ◽  
Complex Singularities

scholarly journals On the Continuity of Hausdorff Dimension of Julia Sets Concerning Potts Models

2013 ◽  
Vol 2013 ◽  
pp. 1-5
Author(s):  
Gang Liu ◽  
Junyang Gao
Keyword(s):  
Hausdorff Dimension ◽  
Statistical Mechanics ◽  
Julia Sets ◽  
Rational Maps ◽  
Two Dimensional ◽  
Potts Models

Considering the Julia sets of a family of rational maps concerning two-dimensional diamond hierarchical Potts models in statistical mechanics, we show the continuity of their Hausdorff dimension.

FIXED POINTS-JULIA SETS

2020 ◽  
Vol 9 (9) ◽  
pp. 6759-6763
Author(s):  
G. Subathra ◽  
G. Jayalalitha
Keyword(s):  
Fixed Points ◽  
Julia Sets

Dynamics of a family of orbitally continuous mappings

Filomat ◽  
2017 ◽  
Vol 31 (11) ◽  
pp. 3507-3517
Author(s):  
Abhijit Pant ◽  
R.P. Pant ◽  
Kuldeep Prakash
Keyword(s):  
Fixed Points ◽  
Julia Sets ◽  
Real Numbers ◽  
Continuous Mappings ◽  
Non Linear

The aim of the present paper is to study the dynamics of a class of orbitally continuous non-linear mappings defined on the set of real numbers and to apply the results on dynamics of functions to obtain tests of divisibility. We show that this class of mappings contains chaotic mappings. We also draw Julia sets of certain iterations related to multiple lowering mappings and employ the variations in the complexity of Julia sets to illustrate the results on the quotient and remainder. The notion of orbital continuity was introduced by Lj. B. Ciric and is an important tool in establishing existence of fixed points.

Large q expansions for q-state gauge-matter Potts models in lagrangian form

1980 ◽  
Vol 170 (3) ◽  
pp. 409-432 ◽  
Author(s):  
Paul Ginsparg ◽  
Yadin Y. Goldschmidt ◽  
Jean-Bernard Zuber
Keyword(s):  
Potts Models ◽  
Lagrangian Form

scholarly journals Phase Transitions of Ferromagnetic Potts Models on the Simple Cubic Lattice

2014 ◽  
Vol 31 (7) ◽  
pp. 070503 ◽  
Author(s):  
Shun Wang ◽  
Zhi-Yuan Xie ◽  
Jing Chen ◽  
Bruce Normand ◽  
Tao Xiang
Keyword(s):  
Phase Transitions ◽  
Potts Models ◽  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice
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