54 citations · 100 across the 10 of their papers we have counts for
18 papers
Automorphisms of the type II_1 Arveson system of Warren's noise
Boris Tsirelson
Motions of the plane (shifts and rotations) correspond to automorphisms of the type I Arveson system of white noise. I prove that automorphisms corresponding to rotations cannot be…
Brownian local minima and other random dense countable sets
Boris Tsirelson
We compare two examples of random dense countable sets, `Brownian local minima' and `unordered uniform infinite sample'. They appear to be identically distributed. A framework for…
Percolation, boundary, noise: an experiment
Boris Tsirelson
The scaling limit of the critical percolation, is it a black noise? The answer depends on stability to perturbations concentrated along a line. This text, containing no proofs, rep…
Nonclassical stochastic flows and continuous products
Boris Tsirelson
Contrary to the classical wisdom, processes with independent values (defined properly) are much more diverse than white noise combined with Poisson point processes, and product sys…
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…