54 citations · 66 across the 7 of their papers we have counts for
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Random complex zeroes, III. Decay of the hole probability
Mikhail Sodin, Boris Tsirelson
By a hole we mean a disc that contains no flat chaotic analytic zero points (i.e. zeroes of a random entire function whose Taylor coefficients are independent complex-valued Gaussi…
The automorphism group of the Gaussian measure cannot act pointwise
E. Glasner, B. Tsirelson, B. Weiss
Classical ergodic theory deals with measure (or measure class) preserving actions of locally compact groups on Lebesgue spaces. An important tool in this setting is a theorem of Ma…
Random complex zeroes, II. Perturbed lattice
Mikhail Sodin, Boris Tsirelson
We show that the flat chaotic analytic zero points (i.e. zeroes of a random entire function whose Taylor coefficients are independent complex-valued Gaussian random variables, and…
Scaling Limit, Noise, Stability
Boris Tsirelson
Linear functions of many independent random variables lead to classical noises (white, Poisson, and their combinations) in the scaling limit. Some singular stochastic flows and som…