5 problems

Let $\rho ameq{}(0,1)$ be the stationary Bernoulli density, let $\mathbb{P}\rho$ be the corresponding TASEP path measure, and let $ht(j)$ be the height function. For $winmathbb{R}$, d…

Conjecture on the absence of a good ARMA approximation. The process $X_t$ does not have a good ARMA model of the displayed form that is better than the simple $M+N$-term truncation…

Continuity conjecture. For every stationary ergodic process $Z$,

Let $H_0$ and $H_1$ be hypotheses consisting of stationary ergodic distributions. A test is weakly asymmetrically consistent (respectively, weakly asymptotically consistent) when t…

Consider a linear inverse problem in which an input signal ${\bf x}$, generated by a stationary ergodic source, is estimated from noisy measurements ${\bf y}$ and measurement matri…