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math.PR2006
Asymptotic behavior of a generalized TCP congestion avoidance algorithm
Teunis J. Ott, Jason Swanson
The Transmission Control Protocol (TCP) is a Transport Protocol used in the Internet. Ott has introduced a more general class of candidate Transport Protocols called "protocols in…
math.PR2006
Variations of the solution to a stochastic heat equation
Jason Swanson
We consider the solution to a stochastic heat equation. This solution is a random function of time and space. For a fixed point in space, the resulting random function of time, $F(…
math.PR2005
Weak Convergence of the Scaled Median of Independent Brownian Motions
Jason Swanson
We consider the median of n independent Brownian motions, and show that this process, when properly scaled, converges weakly to a centered Gaussian process. The chief difficulty is…