Stochastic evolution equations with fractional Brownian motion
By Samy Tindel, Ciprian A. Tudor, Frederi G. Viens. 2003
257 citations recorded by the source corpus.
Subfields: Finance, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/776449ea6ef3c61abe6070efcd3a4803f88e9645
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Finance
- Ciprian A. Tudor
- David Nualart
- Yaozhong Hu
- R. Balan
- Frederi G. Viens
- Ivan Nourdin
- María J. Garrido-Atienza
- Kexue Li
In Mathematical Physics
- Ciprian A. Tudor
- David Nualart
- Yaozhong Hu
- R. Balan
- María J. Garrido-Atienza
- B. Schmalfuβ
- Kexue Li
- Bixiang Wang
Citations in the corpus
- Stochastic delay fractional evolution equations driven by fractional Brownian motion (2014, background): “[9] studied linear stochastic evolution equations driven by infinite dimensional fractional Brownian motion with Hurst parameter in the interval H 2 .”
- Ergodicity of the Infinite Dimensional Fractional Brownian Motion (2011, background): “Meanwhile there are many articles dealing with existence of solutions of ordinary or partial stochastic differential equations driven by a fractional Brownian motion, see for instance [7,10,18,19,21, 24 ] among others.”
- Stochastic heat equation driven by fractional noise and local time (2007, methodology): “Linear stochastic evolution equations in ∗Y. Hu is supported by the National Science Foundation under DMS0504783 †D. Nualart is supported by the National Science Foundation under DMS0604207 a Hilbert space driven by an additive cylindrical fBm with Hurst parameter H were studied by Duncan et al. in ”
- Analysis of the Rosenblatt process (2006, unknown): “n ∫ t 0 ∫ t 0 〈eΦen, eΦen〉V |u − v|dudv and what it follows is a deterministic problem that can be solved as in [44].”
- Stochastic Heat Equation with Multiplicative Fractional-Colored Noise (2008, background): “What happens when the space-time white noise is replaced by a noise which is fractional in time, but continues to be white in space? This situation has been studied in several papers such as [14], [24], [29], [34] and recently in [1].”