Showing math.DSShow all
3 papers · 1 filter
math.DS2025
Absolute and Unconditional Convergence of Series of Ergodic Averages and Lebesgue Derivatives
Bryan Johnson, Joseph Rosenblatt
We consider when there is absolute or unconditional convergence of series of various types of stochastic processes. These processes include differences of averages in ergodic theor…
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.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…