.png){kind=icon}
.png){kind=icon}
Return
Periodic homogenization for switching diffusions
.png){kind=icon}
PRE
AI
DOI：10.1214/26-ECP764.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
In the present work, we explore homogenization techniques for a class of switching diffusion processes whose drift and diffusion coefficients, and jump intensities are smooth, spatially periodic functions; we assume full coupling between the continuous and discrete components of the state. Under the assumptions of uniform ellipticity of the diffusion matrices and irreducibility of the matrix of switching intensities, we explore the large-scale long-time behavior of the process under a diffusive scaling. Our main result characterizes the limiting fluctuations of the rescaled continuous component about a constant velocity drift by an effective Brownian motion with explicitly computable covariance matrix. Our main quantitative finding is the computation of an extra contribution to the limiting diffusivity stemming from the switching.
Keywords:
diffusion-transmutation processes
multiscale analysis
homogenization
martingale central limit theorem
Journal
E
IF:
0.6
Papers:
21
Citations:
0