large deviation theorem
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2019 ◽  
Vol 277 (9) ◽  
pp. 3179-3186 ◽  
Author(s):  
Valmir Bucaj ◽  
David Damanik ◽  
Jake Fillman ◽  
Vitaly Gerbuz ◽  
Tom VandenBoom ◽  
...  

2017 ◽  
Vol 54 (3) ◽  
pp. 720-731 ◽  
Author(s):  
Serik Sagitov ◽  
Thibaut France

Abstract In this paper we treat a pure death process coming down from infinity as a natural generalization of the death process associated with the Kingman coalescent. We establish a number of limit theorems including a strong law of large numbers and a large deviation theorem.


2013 ◽  
Vol 34 (4) ◽  
pp. 1395-1408 ◽  
Author(s):  
JIANGONG YOU ◽  
SHIWEN ZHANG

AbstractFor analytic quasiperiodic Schrödinger cocycles, Goldshtein and Schlag [Hölder continuity of the integrated density of states for quasi-periodic Schrödinger equations and averages of shifts of subharmonic functions. Ann. of Math. (2) 154 (2001), 155–203] proved that the Lyapunov exponent is Hölder continuous provided that the base frequency $\omega $ satisfies a strong Diophantine condition. In this paper, we give a refined large deviation theorem, which implies the Hölder continuity of the Lyapunov exponent for all Diophantine frequencies $\omega $, even for weak Liouville $\omega $, which improves the result of Goldshtein and Schlag.


Metrika ◽  
2009 ◽  
Vol 74 (1) ◽  
pp. 33-54 ◽  
Author(s):  
Sherzod M. Mirakhmedov ◽  
Syed Ikram A. Tirmizi ◽  
Muhammad Naeem

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