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Leaves on the line and in the plane
Mathew Penrose
May 05, 2020
The dead leaves model (DLM) provides a random tessellation of $d$-space, representing the visible portions of fallen leaves on the ground when $d=2$. For $d=1$, we establish formulae for the intensity, two-point correlations...
Unbiased shifts of Brownian motion
Let B = (B(t) :t∈R) be a two-sided standard Brownian motion. An unbiased shift of B is a random time T , which is a measurable function of B, such that (B(T +t) − B(T) :t∈R) is a Brownian motion independent of B(T) . We...
Unbiased shifts of Brownian motion
Let B = (B(t) :t∈R) be a two-sided standard Brownian motion. An unbiased shift of B is a random time T , which is a measurable function of B, such that (B(T +t) − B(T) :t∈R) is a Brownian motion independent of B(T) . We...
Leaves on the line and in the plane
Mathew Penrose
May 05, 2020
The dead leaves model (DLM) provides a random tessellation of $d$-space, representing the visible portions of fallen leaves on the ground when $d=2$. For $d=1$, we establish formulae for the intensity, two-point correlations...