Leírás
Multifractal analysis mainly focuses on describing the local behaviors of a function, a measure, or a stochastic process X on R^d. In this context, the pointwise behavior is measured by an exponent, which depends on the nature of the object. The multifractal spectrum D_X is then calculated, which describes the size of sets of points with the same regularity exponent.
The problem of prescribing the multifractal spectrum for a function or measure has been studied extensively by many researchers in multifractal analysis. However, a multivariate extension is essential because there are phenomena where the data are intrinsically composed of a family of correlated signals.
I will thus present two results extending the univariate construction of functions and 'homogeneous' measures with a prescribed multifractal spectrum to the bivariate case.
Zoom: https://us02web.zoom.us/j/83725792437?pwd=9Zhxb4WEwTnPIEwo5raP2pMRan7q5n.1
Meeting ID: 837 2579 2437
Passcode: 003478