Random Iteration of I.I.D. Quadratic Maps

2001 ◽  
pp. 49-58
Author(s):  
K. B. Athreya ◽  
R. N. Bhattacharya
Keyword(s):  
Quadratic Maps ◽  
Random Iteration

scholarly journals Random iteration of analytic maps

2004 ◽  
Vol 24 (3) ◽  
pp. 659-675 ◽  
Author(s):  
A. F. BEARDON ◽  
T. K. CARNE ◽  
D. MINDA ◽  
T. W. NG
Keyword(s):  
Random Iteration ◽  
Analytic Maps

Random Iterations of Two Quadratic Maps

1993 ◽  
pp. 13-22 ◽  
Author(s):  
Rabi N. Bhattacharya ◽  
B. V. Rao
Keyword(s):  
Quadratic Maps

Mating quadratic maps with the modular group

1994 ◽  
Vol 115 (1) ◽  
pp. 483-511 ◽  
Author(s):  
Shaun Bullett ◽  
Christopher Penrose
Keyword(s):  
Modular Group ◽  
Quadratic Maps

Nets of quadrics and deformations of Σ3〈3〉 singularities

1989 ◽  
Vol 105 (1) ◽  
pp. 109-115
Author(s):  
S. A. Edwards ◽  
C. T. C. Wall
Keyword(s):  
Parameter Space ◽  
General Type ◽  
Single Parameter ◽  
Connected Components ◽  
Quadratic Maps ◽  
Nets Of Quadrics

The 2-jet of a Σ3 map-germ f:(3, 0) → (3, 0) determines a net of quadratic maps from 3 to 3; for nets of general type this jet is sufficient for equivalence. The classification of such nets involves a single parameter c. It is shown in [7], also in [3], that the versai unfolding of f is topologically trivial over the parameter space. However, there are 4 connected components of this space of nets. The main object of this paper is to show that the corresponding unfolded maps are of different topological types.

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