random interface
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2019 ◽  
Vol 371 (9) ◽  
pp. 6047-6085 ◽  
Author(s):  
Jeremy Quastel ◽  
Daniel Remenik

2016 ◽  
Vol 149 ◽  
pp. 113-116 ◽  
Author(s):  
Hyeongwan Oh ◽  
Jungsik Kim ◽  
Junyoung Lee ◽  
Taiuk Rim ◽  
Chang-Ki Baek ◽  
...  

2015 ◽  
Vol 47 (1) ◽  
pp. 146-163 ◽  
Author(s):  
Hironobu Sakagawa

We consider a class of Gaussian processes which are obtained as height processes of some (d + 1)-dimensional dynamic random interface model on ℤd. We give an estimate of persistence probability, namely, large T asymptotics of the probability that the process does not exceed a fixed level up to time T. The interaction of the model affects the persistence probability and its asymptotics changes depending on the dimension d.


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