2 citations · 2 across the 1 of their papers we have counts for
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A comparison inequality for sums of independent random variables
Stephen Montgomery-Smith, Alexander R. Pruss
We give a comparison inequality that allows one to estimate the tail probabilities of sums of independent Banach space valued random variables in terms of those of independent iden…
Global regularity of the Navier-Stokes equation on thin three dimensional domains with periodic boundary conditions
Stephen J. Montgomery-Smith
This paper gives another version of results due to Raugel and Sell, and similar results due to Moise, Temam and Ziane, that state the following: the solution of the Navier-Stokes e…
Stability radius and internal versus external stability in Banach spaces: an evolution semigroup approach
Stephen Clark, Yuri Latushkin, Stephen J. Montgomery-Smith +1
In this paper the theory of evolution semigroups is developed and used to provide a framework to study the stability of general linear control systems. These include time-varying s…
Concrete representation of martingales
Stephen J. Montgomery-Smith
Let (f_n) be a mean zero vector valued martingale sequence. Then there exist vector valued functions (d_n) from [0,1]^n such that int_0^1 d_n(x_1,...,x_n) dx_n = 0 for almost all x…
A note on sums of independent random variables
Paweł Hitczenko, Stephen Montgomery-Smith
In this note a two sided bound on the tail probability of sums of independent, and either symmetric or nonnegative, random variables is obtained. We utilize a recent result by Lata…