Semin Yoo

q-analogues of quantities in mathematics involve perturbations of classical quantities using the parameter q, and revert to the original quantities when q goes 1. A notable example is the q-analogues of binomial coefficients, denoted by {n \choose k}...

Let A and B be compact sets in ℝd. One of the fundamental problems in geometric measure theory is to study the relations between the Hausdorff dimensions of A, B, and A∩f(B), where f runs through a set of transformations. This type of question has...