The Parametrization of Algebraic Curves in Chiral Potts Models with Genus 1

1990 ◽  
Vol 14 (4) ◽  
pp. 455-464
Author(s):  
Yan Mu-lin ◽  
Zhao Hong-kang
Keyword(s):  
Algebraic Curves ◽  
Potts Models

GEOMETRIC THEORY OF MULTIDIMENSIONAL INTERPOLATION

2020 ◽  
Vol 2020 (1) ◽  
pp. 9-16
Author(s):  
Evgeniy Konopatskiy
Keyword(s):  
Response Function ◽  
Algebraic Curves ◽  
Geometric Theory ◽  
Analytical Description ◽  
Geometric Interpretation ◽  
Affine Geometry ◽  
Mathematical Apparatus ◽  
Multidimensional Interpolation ◽  
Pass Through

The paper presents a geometric theory of multidimensional interpolation based on invariants of affine geometry. The analytical description of geometric interpolants is performed within the framework of the mathematical apparatus BN-calculation using algebraic curves that pass through preset points. A geometric interpretation of the interaction of parameters, factors, and the response function is presented, which makes it possible to generalize the geometric theory of multidimensional interpolation in the direction of increasing the dimension of space. The conceptual principles of forming the tree of the geometric interpolant model as a geometric basis for modeling multi-factor processes and phenomena are described.

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 Real plane algebraic curves with prescribed singularities

Topology ◽  
1993 ◽  
Vol 32 (4) ◽  
pp. 845-856 ◽  
Author(s):  
Eugenii Shustin
Keyword(s):  
Algebraic Curves ◽  
Real Plane

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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