25 citations · 49 across the 12 of their papers we have counts for
16 papers
Perpetually Fair Assignments Via Balanced Sequences of Permutations
Terrence Adams, Erel Segal-Halevi
There is a set of indivisible items (goods or chores), and a set of players. Each day, a single item should be assigned to each player. Assignments based on latin squares g…
Moving Averages
Terrence Adams, Joseph Rosenblatt
We consider the convergence of moving averages in the general setting of ergodic theory or stationary ergodic processes. We characterize when there is universal convergence of movi…
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{…
Over Recurrence for Mixing Transformations
Terrence Adams
We show that every invertible strong mixing transformation on a Lebesgue space has strictly over-recurrent sets. Also, we give an explicit procedure for constructing strong mixing…
Constructive symbolic presentations of rank one measure-preserving systems
Terrence Adams, Sébastien Ferenczi, Karl Petersen
Given a rank one measure-preserving system defined by cutting and stacking with spacers, we produce a rank one binary sequence such that its orbit closure under the shift transform…
Mixing sets for non-mixing transformations
Terrence M. Adams
For different classes of measure preserving transformations, we investigate collections of sets that exhibit the property of lightly mixing. Lightly mixing is a stronger property t…