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A stochastic process is a collection of random variables usually indexed by a totally ordered set.

3 votes
0 answers
47 views

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 …
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2 votes
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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 …
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  • 801
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 …
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  • 801