33 citations · 90 across the 19 of their papers we have counts for
21 papers
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 $(-Δ)…
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…
Errata to Stochastic explosion and non-uniqueness for -Riccati equation
Radu Dascaliuc, Tuan N. Pham, Enrique A. Thomann +1
An error occurs in a part of the statement and proof of Proposition 2.2 in Jour. Math. Anal. and Appl., 476, (2019), 53-85 that is corrected in this erratum. The revised result rev…
Doubly stochastic Yule cascades (Part II): The explosion problem in the non-reversible case
Radu Dascaliuc, Tuan N. Pham, Enrique Thomann +1
We analyze the explosion problem for a class of stochastic models introduced in Part I (arXiv:2103.06912), referred to as doubly stochastic Yule cascades. These models arise natura…