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A stochastic process is a collection of random variables usually indexed by a totally ordered set.
1
vote
0
answers
58
views
Sturm-Liouville-like Eigenproblem
Consider the piecewise-deterministic Markov process on $\mathbf{R}$ which
moves according to the vector field $\phi (x) = 1$,
experiences events at rate $\lambda(x) = 1$, and
at events, jumps acco …
3
votes
0
answers
47
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Discrete approximation of continuous determinantal point processes
(throughout, "DPP" denotes "Determinantal Point Process")
TL;DR: Discrete DPPs are straightforward to compute with, continuous DPPs less so. Can we approximate continuous DPPs well with suitable discr …
2
votes
Accepted
When is a stationary measure of a Markov chain "exponentially localized"?
I will give some answers in terms of diffusion processes, since the examples are easiest for me to describe in that context. There are more general examples which follow the same pattern, but typicall …