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math.CA2015
Dimensions of sums with self-similar sets
Daniel Oberlin, Richard Oberlin
For some self-similar sets K in d-dimensional Euclidean space we obtain certain lower bounds for the lower Minkowski dimension of K+E in terms of the lower Minkowski dimension of E…
math.CA2015
Variation-norm and fluctuation estimates for ergodic bilinear averages
Yen Do, Richard Oberlin, Eyvindur A. Palsson
For any dynamical system, we show that higher variation-norms for the sequence of ergodic bilinear averages of two functions satisfy a large range of bilinear Lp estimates. It foll…