Multi-scale random fields and uncertainty quantification
My interest in the random field theory is that it is an advanced for analyzing the variabilities in any big and small structured datasets, such as soil permeability over the scale of meters, concrete strength of the scale of centimeters, or earthquake ground motions varying from point to point in both time and space. The stochastic estimation of these variables is rooted to the classical optimum linear estimation problem in random field theory.
In one of my projects, I used random field to characterize the soil properties of a city and based on that I made a prediction of liquefaction potential assessment for the whole city. The predicted results agree well with the observations.