Amlan Banaji
Esittely
My main research interests are in geometry and analysis related to fractal sets and measures. Fractals are intricate and often beautiful mathematical objects which exhibit complexity over a wide range of scales, and often arise in a natural dynamical way, such as via (conformal or non-conformal) iterated function systems. Currently, I am especially interested in the rate of decay of the Fourier transform of stationary measures for such systems. Another strand of my research has been to explore different ways one can define ‘dimension,’ to provide refined information about the global or local scaling properties of classes of sets or measures. I enjoy finding connections between these topics and other areas of mathematics such as number theory and probability theory.
