Convergence Groups with an Invariant Component Pair

1992 ◽  
Vol 114 (5) ◽  
pp. 1049 ◽  
Author(s):  
Gaven J. Martin ◽  
Pekka Tukia
Keyword(s):  
Invariant Component ◽  
Component Pair

Ultrasound assisted cocrystallization from solution (USSC) containing a non-congruently soluble cocrystal component pair: Caffeine/maleic acid

2010 ◽  
Vol 41 (5) ◽  
pp. 597-602 ◽  
Author(s):  
Suyog Aher ◽  
Ravindra Dhumal ◽  
Kakasaheb Mahadik ◽  
Anant Paradkar ◽  
Peter York
Keyword(s):  
Maleic Acid ◽  
Ultrasound Assisted ◽  
Component Pair

Iterates of meromorphic functions III: Preperiodic domains

1991 ◽  
Vol 11 (4) ◽  
pp. 603-618 ◽  
Author(s):  
I. N. Baker ◽  
J. Kotus ◽  
Lü Yinian
Keyword(s):  
Meromorphic Function ◽  
Meromorphic Functions ◽  
Stable Set ◽  
Invariant Component

AbstractThe paper discusses the connectivity of periodic and preperiodic domains in the stable set in the iteration of a meromorphic function. The connectivity of an invariant component has one of the values 1, 2, ∞. Examples are constructed to show that the connectivity of a preperiodic component may take any value.

Fast Transformation-Invariant Component Analysis

2007 ◽  
Vol 77 (1-3) ◽  
pp. 87-101 ◽  
Author(s):  
Anitha Kannan ◽  
Nebojsa Jojic ◽  
Brendan J. Frey
Keyword(s):  
Component Analysis ◽  
Invariant Component

Invariant domains and singularities

1995 ◽  
Vol 117 (3) ◽  
pp. 525-532 ◽  
Author(s):  
Walter Bergweiler
Keyword(s):  
Jordan Curve ◽  
Euclidean Distance ◽  
The Other ◽  
Transcendental Function ◽  
Fatou Set ◽  
Entire Transcendental Function ◽  
Asymptotic Values ◽  
Other Hand ◽  
Invariant Component ◽  
Invariant Domains

AbstractLet U be an invariant component of the Fatou set of an entire transcendental function f such that the iterates of f tend to ∞ in U. Let P(f) be the closure of the set of the forward orbits of all critical and asymptotic values of f. We show that there exists a sequence pn∈P(f) such that dist(pn, U) = o(|pn|), where dist(·, ·) denotes Euclidean distance. On the other hand, we give an example where dist (P(f), U) > 0. In this example, U is bounded by a Jordan curve.

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