April 19, 1994 - April 19, 2027
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Date:23ThursdayFebruary 2017
Geometric Functional Analysis and Probability Seminar
More informationTime | 11:15 - 13:00 |
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Title | Conditional determinantal processes are determinantal |
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Location | Jacob Ziskind Building Room 290C |
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Lecturer | Sasha Shamov WIS |
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Abstract | Show full text abstract about A determinantal point process governed by a locally trace cl...» A determinantal point process governed by a locally trace class Hermitian contraction kernel on a measure space $E$ remains determinantal when conditioned on its configuration on an arbitrary measurable subset $B subset E$. Moreover, the conditional kernel can be chosen canonically in a way that is "local" in a non-commutative sense, i.e. invariant under "restriction" to closed subspaces $L^2(B) subset P subset L^2(E)$.
Using the properties of the canonical conditional kernel we establish a conjecture of Lyons and Peres: if $K$ is a projection then almost surely all functions in its image can be recovered by sampling at the points of the process.
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Lecture