scholarly journals Stochastic equation and exponential ergodicity in Wasserstein distances for affine processes

2020 ◽  
Vol 30 (5) ◽  
pp. 2165-2195
Author(s):  
Martin Friesen ◽  
Peng Jin ◽  
Barbara Rüdiger
Author(s):  
Hong-Bin Chen ◽  
Jonathan Niles-Weed

Author(s):  
A. YU. KHRENNIKOV ◽  
S. V. KOZYREV

Gaussian random field on general ultrametric space is introduced as a solution of pseudodifferential stochastic equation. Covariation of the introduced random field is computed with the help of wavelet analysis on ultrametric spaces. Notion of ultrametric Markovianity, which describes independence of contributions to random field from different ultrametric balls is introduced. We show that the random field under investigation satisfies this property.


2011 ◽  
Vol 227 (3) ◽  
pp. 1047-1077 ◽  
Author(s):  
Y. Lipman ◽  
I. Daubechies

Sign in / Sign up

Export Citation Format

Share Document