scholarly journals Long-Time Asymptotics of the Filtering Distribution for Partially Observed Chaotic Dynamical Systems

2015 ◽  
Vol 3 (1) ◽  
pp. 1200-1220 ◽  
Author(s):  
Daniel Sanz-Alonso ◽  
Andrew M. Stuart
2000 ◽  
Vol 12 (07) ◽  
pp. 921-944 ◽  
Author(s):  
JOHAN ANDRIES ◽  
FABIO BENATTI ◽  
MIEKE De COCK ◽  
MARK FANNES

In this paper, we consider the long time asymptotics of multi-time correlation functions for quantum dynamical systems that are sufficiently random to relax to a reference state. In particular, the evolution of such systems must have a continuous spectrum. Special attention is paid to general dynamical clustering conditions and their consequences for the structure of fluctuations of temporal averages. This approach is applied to the so-called Powers–Price shifts.


2020 ◽  
Vol 371 ◽  
pp. 107242 ◽  
Author(s):  
Matteo Cozzi ◽  
Juan Dávila ◽  
Manuel del Pino

2021 ◽  
Vol 53 (2) ◽  
pp. 2027-2083
Author(s):  
Hai-Liang Li ◽  
Benoít Perthame ◽  
Xinmei Wen

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