scholarly journals Central limit theorems for spatial averages of the stochastic heat equation via Malliavin–Stein’s method

2021 ◽  
Author(s):  
Le Chen ◽  
Davar Khoshnevisan ◽  
David Nualart ◽  
Fei Pu
Keyword(s):  
Heat Equation ◽  
Central Limit ◽  
Limit Theorems ◽  
Stein’S Method ◽  
Central Limit Theorems ◽  
Stochastic Heat Equation ◽  
Stein's Method ◽  
The Stochastic Heat Equation

scholarly journals Pressure Function and Limit Theorems for Almost Anosov Flows

2021 ◽  
Vol 382 (1) ◽  
pp. 1-47
Author(s):  
Henk Bruin ◽  
Dalia Terhesiu ◽  
Mike Todd
Keyword(s):  
Thermodynamic Properties ◽  
Central Limit ◽  
Limit Theorems ◽  
Central Limit Theorems ◽  
Stable Laws ◽  
Analytic Framework ◽  
Pressure Function ◽  
Hyperbolic Flows ◽  
Anosov Flows ◽  
Almost Anosov

AbstractWe obtain limit theorems (Stable Laws and Central Limit Theorems, both standard and non-standard) and thermodynamic properties for a class of non-uniformly hyperbolic flows: almost Anosov flows, constructed here. The link between the pressure function and limit theorems is studied in an abstract functional analytic framework, which may be applicable to other classes of non-uniformly hyperbolic flows.

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