4 papers · 1 filter
Note On Gaussian Random Fields \& Underlying Markov Processes Through a Central Limit Theorem
Edward C Waymire
Various classes of Gaussian random fields associated with transient Markov processes have been introduced in the probability and mathematical physics literature. The present pa…
Navier-Stokes Equations with Fractional Dissipation and Associated Doubly Stochastic Yule Cascades
Radu Dascaliuc, Tuan N. Pham, Enrique Thomann +1
We introduce a self-similar doubly stochastic Yule (DSY) cascade associated with the deterministic Navier-Stokes equations (NSE) in with fractional dissipation $(-Î…
On Central Limit Theorems for Additive Functionals of Reversible Ergodic Markov Processes
Edward C Waymire
In this note, the time reversible case of a general theorem of Bhattacharya is shown to imply the Kipnis-Varadhan functional central limit theorem for ergodic Markov processes. To…
Transformation of Stochastic Recursions and Critical Phenomena in the Analysis of the Aldous-Shields-Athreya Cascade and Related Mean Flow Equations
Radu Dascaliuc, Tuan N. Pham, Enrique Thomann +1
The paper has two main goals. First, we extend the contemporary probability theory on trees to investigate critical phenomena in a stochastic model of Yule type called Aldous-Shiel…