scholarly journals Invariance Principles for Non-Uniform Random Mappings and Trees

2002 ◽  
pp. 113-147 ◽  
Author(s):  
David Aldous ◽  
Jim Pitman
Keyword(s):  
Invariance Principles ◽  
Random Mappings

scholarly journals Invariance Principles and Observability in Switched Systems with an Application in Consensus

2020 ◽  
pp. 1-1
Author(s):  
Ti-Chung Lee ◽  
Ying Tan ◽  
Youfeng Su ◽  
Iven Mareels
Keyword(s):  
Switched Systems ◽  
Invariance Principles

Random Mappings and Decompositions of Finite Sets

1972 ◽  
Vol 17 (1) ◽  
pp. 132-145 ◽  
Author(s):  
B. A. Sevast’yanov
Keyword(s):  
Finite Sets ◽  
Random Mappings

scholarly journals Invariance Principles for Parabolic Equations with Random Coefficients

1997 ◽  
Vol 149 (2) ◽  
pp. 377-414 ◽  
Author(s):  
Donald A. Dawson ◽  
Michael A. Kouritzin
Keyword(s):  
Parabolic Equations ◽  
Random Coefficients ◽  
Invariance Principles

Functionals of random mappings: exact and asymptotic results

1991 ◽  
Vol 23 (3) ◽  
pp. 437-455 ◽  
Author(s):  
P. J. Donnelly ◽  
W. J. Ewens ◽  
S. Padmadisastra
Keyword(s):  
Frequency Spectrum ◽  
Exact Results ◽  
Asymptotic Results ◽  
Number Of Components ◽  
Random Mapping ◽  
Random Mappings ◽  
Simulation Results ◽  
Central Tool

A random mapping partitions the set {1, 2, ···, m} into components, where i and j are in the same component if some functional iterate of i equals some functional iterate of j. We consider various functionals of these partitions and of samples from it, including the number of components of ‘small' size and of size O(m) as m → ∞the size of the largest component, the number of components, and various symmetric functionals of the normalized component sizes. In many cases exact results, while available, are uniformative, and we consider various approximations. Numerical and simulation results are also presented. A central tool for many calculations is the ‘frequency spectrum', both exact and asymptotic.

scholarly journals Invariance principles for changepoint problems

1988 ◽  
Vol 27 (1) ◽  
pp. 151-168 ◽  
Author(s):  
Miklós Csörgő ◽  
Lajos Horváth
Keyword(s):  
Invariance Principles
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