54 citations · 100 across the 10 of their papers we have counts for
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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…
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…
Noise sensitivity on continuous products: an answer to an old question of J. Feldman
Boris Tsirelson
A relation between sigma-additivity and linearizability, conjectured by Jacob Feldman in 1971 for continuous products of probability spaces, is established by relating both notions…
Scaling limit of Fourier-Walsh coefficients (a framework)
Boris Tsirelson
Independent random signs can govern various discrete models that converge to non-isomorphic continuous limits. Convergence of Fourier-Walsh spectra is established under appropriate…