3 papers
math.DS2019
Existence and Non-existence of Solutions to the Coboundary Equation for Measure Preserving Systems
Terrence Adams, Joseph Rosenblatt
Let be a standard probability space. We give new fundamental results determining solutions to the coboundary equation: \begin{eqnarray*} f = g - g \circ T \end{…
math.CA2018
Differentiating Orlicz spaces with rare bases of rectangles
Emma D 'Aniello, Laurent Moonens, Joseph Rosenblatt
In the current paper, we study how the speed of convergence of a sequence of angles decreasing to zero influences the possibility of constructing a rare differentiation basis of re…
math.DS2018
Optimal Quantization via Dynamics
Joseph Rosenblatt, Mrinal Kanti Roychowdhury
Quantization for probability distributions refers broadly to estimating a given probability measure by a discrete probability measure supported by a finite number of points. We con…