scholarly journals Infinite random planar maps related to Cauchy processes

2018 ◽  
Vol 5 ◽  
pp. 749-791 ◽  
Author(s):  
Timothy Budd ◽  
Nicolas Curien ◽  
Cyril Marzouk
Keyword(s):  
Planar Maps ◽  
Cauchy Processes

THE DYNAMICS OF NQ-SYSTEMS IN THE PLANE

2009 ◽  
Vol 19 (01) ◽  
pp. 117-133 ◽  
Author(s):  
MATEJ MENCINGER ◽  
MILAN KUTNJAK
Keyword(s):  
Algebraic Approach ◽  
Dynamical Analysis ◽  
Algebraic Classification ◽  
Commutative Algebras ◽  
Planar Maps ◽  
Points Of View ◽  
One To One

The dynamics of discrete homogeneous quadratic planar maps is considered via the algebraic approach. There is a one-to-one correspondence between these systems and 2D commutative algebras (c.f. [Markus, 1960]). In particular, we consider the systems corresponding to algebras which contain some nilpotents of rank two (i.e. NQ-systems). Markus algebraic classification is used to obtain the class representatives. The case-by-case dynamical analysis is presented. It is proven that there is no chaos in NQ-systems. Yet, some cases are really interesting from the dynamical and bifurcational points of view.

The Design and Implementation of Planar Maps in CGAL

1999 ◽  
pp. 154-168 ◽  
Author(s):  
Eyal Flato ◽  
Dan Halperin ◽  
Iddo Hanniel ◽  
Oren Nechushtan
Keyword(s):  
Design And Implementation ◽  
Planar Maps

scholarly journals Towards a classification of planar maps

2018 ◽  
Vol 98 (6) ◽  
Author(s):  
Alexandre Diet ◽  
Marc Barthelemy
Keyword(s):  
Planar Maps

scholarly journals Rooted planar maps modulo some patterns

2016 ◽  
Vol 339 (4) ◽  
pp. 1199-1205
Author(s):  
Jean-Luc Baril ◽  
Richard Genestier ◽  
Alain Giorgetti ◽  
Armen Petrossian
Keyword(s):  
Planar Maps

Planar Maps

1991 ◽  
pp. 443-494
Author(s):  
Jack K. Hale ◽  
Hüseyin Koçak
Keyword(s):  
Planar Maps

scholarly journals The boundary of random planar maps via looptrees

2020 ◽  
Vol 29 (2) ◽  
pp. 391-430
Author(s):  
Igor Kortchemski ◽  
Loïc Richier
Keyword(s):  
Planar Maps

scholarly journals Global dynamics for symmetric planar maps

2013 ◽  
Vol 33 (6) ◽  
pp. 2241-2251 ◽  
Author(s):  
Begoña Alarcón ◽  
◽  
Sofia B. S. D. Castro ◽  
Isabel S. Labouriau ◽  
◽  
...  
Keyword(s):  
Global Dynamics ◽  
Planar Maps

scholarly journals On the Riemann surface type of random planar maps

2013 ◽  
Vol 29 (3) ◽  
pp. 1071-1090 ◽  
Author(s):  
James Gill ◽  
Steffen Rohde
Keyword(s):  
Riemann Surface ◽  
Surface Type ◽  
Planar Maps
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