scholarly journals Large deviations of Markov chains indexed by random trees

2005 ◽  
Vol 41 (6) ◽  
pp. 971-996 ◽  
Author(s):  
A DEMBO ◽  
P MORTERS ◽  
S SHEFFIELD
Keyword(s):  
Markov Chains ◽  
Large Deviations ◽  
Random Trees

scholarly journals Large deviations for the leaves in some random trees

2009 ◽  
Vol 41 (3) ◽  
pp. 845-873 ◽  
Author(s):  
Wlodek Bryc ◽  
David Minda ◽  
Sunder Sethuraman
Keyword(s):  
Markov Chains ◽  
Large Deviations ◽  
Random Graphs ◽  
Large Deviation ◽  
Preferential Attachment ◽  
Random Trees ◽  
Explicit Computation ◽  
Large Deviation Principles ◽  
Recursive Trees

Large deviation principles and related results are given for a class of Markov chains associated to the ‘leaves' in random recursive trees and preferential attachment random graphs, as well as the ‘cherries’ in Yule trees. In particular, the method of proof, combining analytic and Dupuis–Ellis-type path arguments, allows for an explicit computation of the large deviation pressure.

scholarly journals Large deviations for the leaves in some random trees

2009 ◽  
Vol 41 (03) ◽  
pp. 845-873 ◽  
Author(s):  
Wlodek Bryc ◽  
David Minda ◽  
Sunder Sethuraman
Keyword(s):  
Markov Chains ◽  
Large Deviations ◽  
Random Graphs ◽  
Large Deviation ◽  
Preferential Attachment ◽  
Random Trees ◽  
Explicit Computation ◽  
Large Deviation Principles ◽  
Recursive Trees

Large deviation principles and related results are given for a class of Markov chains associated to the ‘leaves' in random recursive trees and preferential attachment random graphs, as well as the ‘cherries’ in Yule trees. In particular, the method of proof, combining analytic and Dupuis–Ellis-type path arguments, allows for an explicit computation of the large deviation pressure.

scholarly journals Level 2.5 Large Deviations for Continuous-Time Markov Chains with Time Periodic Rates

2018 ◽  
Vol 19 (10) ◽  
pp. 3197-3238 ◽  
Author(s):  
Lorenzo Bertini ◽  
Raphael Chetrite ◽  
Alessandra Faggionato ◽  
Davide Gabrielli
Keyword(s):  
Markov Chains ◽  
Large Deviations ◽  
Continuous Time ◽  
Continuous Time Markov Chains ◽  
Time Periodic

scholarly journals Local theorems of large deviations for homogeneous Markov chains

1971 ◽  
Vol 11 (3) ◽  
pp. 607-625
Author(s):  
E. Misevičius
Keyword(s):  
Markov Chains ◽  
Large Deviations

The abstracts (in two languages) can be found in the pdf file of the article. Original author name(s) and title in Russian and Lithuanian: Э. В. Мисевичюс. Локальные теоремы с большими уклонениями для однородных цепей Маркова E. Misevičius. Didelių nukrypimų lokalinės teoremos homogeninėms Markovo grandinėms

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