On fractional Brownian motion and wavelets

S Albeverio, PET Jorgensen, AM Paolucci - Complex Analysis and …, 2012 - Springer
Given a fractional Brownian motion (fBm) with Hurst index H ∈ (0, 1), we associate with this
a special family of representations of Cuntz algebras related to frequency domains and …

Hyers‐Ulam Stability of Differentiation Operator on Hilbert Spaces of Entire Functions

C Wang, TZ Xu - Journal of Function Spaces, 2014 - Wiley Online Library
Hyers‐Ulam Stability of Differentiation Operator on Hilbert Spaces of Entire Functions - Wang -
2014 - Journal of Function Spaces - Wiley Online Library Skip to Article Content Skip to Article …

Hyers–Ulam stability of differential operators on reproducing kernel function spaces

C Wang, TZ Xu - Complex Analysis and Operator Theory, 2016 - Springer
In this paper, we investigate the Hyers–Ulam stability of the differential operators T_ λ T λ
and D on the weighted Hardy spaces H_ β^ 2 H β 2 with the reproducing property. We …

Quantum stochastic integral representations on interacting Fock space

Y Kang, C Wang - Journal of Theoretical Probability, 2015 - Springer
A quantum stochastic integration theory on interacting Fock space (IFS) has been
established in Crismale (Commun Stoch Anal 1 (2): 321–341, 2007). In this paper, we firstly …

Quantum stopping times stochastic integral in the interacting Fock space

Y Kang - Journal of Mathematical Physics, 2015 - pubs.aip.org
Following the ideas of Hudson [J. Funct. Anal. 34 (2), 266-281 (1979)] and Parthasarathy
and Sinha [Probab. Theory Relat. Fields 73, 317-349 (1987)], we define a quantum stopping …

Effective Dynamics of Open Systems in Non-Equilibrium Statistical Mechanics

SH Lim - 2018 - repository.arizona.edu
This dissertation investigates effective dynamics of models for open systems, of classical
and quantum nature, arising in non-equilibrium statistical mechanics. The evolution of the …