28 citations · 50 across the 12 of their papers we have counts for
8 papers · 1 filter
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)…
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…
A Delayed Yule Process
Radu Dascaliuc, Nicholas Michalowski, Enrique Thomann +1
In now classic work, David Kendall (1966) recognized that the Yule process and Poisson process could be related by a (random) time change. Furthermore, he showed that the Yule popu…
Interfacial Phenomena and Natural Local Time
Thilanka Appuhamillage, Vrushali Bokil, Enrique Thomann +2
This article addresses a modification of local time for stochastic processes, to be referred to as `natural local time'. It is prompted by theoretical developments arising in mathe…