RESEARCH

Recent works

• papers
  • "Moderate deviations on different scales: no relations"
    Israel Journal of Mathematics (2014).
  • "Noise as a Boolean algebra of σ-fields"
    The Annals of Probability 42:1, 311-353 (2014).
  • "From uniform renewal theorem to uniform large and moderate deviations for renewal-reward processes"
    Electronic Communications in Probability 18:52, 1-13 (2013).
  • "Uniformly spread measures and vector fields"
    (with Mikhail Sodin)
    Journal of Mathematical Sciences 165:4, 491-497 (2010).
  • "On automorphisms of type II Arveson systems (probabilistic approach)"
    New York Journal of Mathematics 14, 539-576 (2008).
  • "Brownian local minima, random dense countable sets and random equivalence classes"
    Electronic Journal of Probability 11:7, 162-198 (2006).
  • "Random complex zeroes, II. Perturbed lattice"
    (with Mikhail Sodin)
    arXiv:math.CV/0309449
    Israel Journal of Mathematics 152, 105-124 (2006).
  • "The automorphism group of the Gaussian measure cannot act pointwise"
    (with E. Glasner and B. Weiss)
    arXiv:math.DS/0311450
    Israel Journal of Mathematics 148, 305-329 (2005).
  • "Random complex zeroes, III. Decay of the hole probability"
    (with Mikhail Sodin)
    arXiv:math.CV/0312258
    Israel Journal of Mathematics 147, 371-379 (2005).
  • See also papers of 2004 and before
• eprints
  • "Random compact set meets the graph of nonrandom continuous function"
    arXiv:1308.5112.
  • "Noise as a Boolean algebra of sigma-fields"
    arXiv:1111.7270.
  • "Noise as a Boolean algebra of sigma-fields. III. An old question of Jacob Feldman"
    arXiv:1110.3464.
  • "Noise as a Boolean algebra of sigma-fields. II. Classicality, blackness, spectrum"
    arXiv:1109.1690.
  • "Noise as a Boolean algebra of sigma-fields. I. Completion"
    arXiv:1107.3042.
  • "Subproduct systems of Hilbert spaces: dimension two"
    arXiv:0906.4255.
  • "Graded algebras and subproduct systems: dimension two"
    arXiv:0905.4418.
  • "Moderate deviations for random fields and random complex zeroes"
    arXiv:0801.1050.
  • See also eprints of 2007 and before
• other
  • "Moderate deviations for random fields and random complex zeroes",
    abstract of a talk in Oberwolfach, June 2008. PDF or PS.

Some of my ideas are noted  

• Random processes: filtrations, isomorphism, noises, stability/sensitivity, product systems
• Quantum theory
  • Quantum computation
  • Quantum/classical correspondence (foundations)
  • "My bound" ( = Tsirelson's bound = Cirel'son's inequality for quantum correlations), and other quantum Bell-type inequalities
• Fault-tolerant cellular automata
• Gaussian measures and processes (geometric approach)
• "My drift" ( = Tsirelson's drift = Tsirelson's counterexample in the theory of stochastic differential equations)
• "My space" ( = Tsirelson's space = Tsirelson's counterexample in the theory of Banach spaces)

Some of my failures are noted, too  

• Bell inequalities and operator algebras ( = "My problem")
• Black noise of percolation

The list of my publications

MUSEUM OF MY COURSES

"A bad teacher with a lot of good will" (a student, about me)

• Multivariable analysis (undergraduate)
  • Analysis-3, Spring 2016
  • Analysis-4, Fall 2015
  • Analysis-3/4, 2014/15
  • Analysis-3/4, 2013/14

• Large and moderate deviations in probability theory
• Analysis-IV
• Measure and category
• Functions of a real variable
• Measurability and continuity
• Analysis-III
• Gaussian measures
• Large deviations, entropy and statistical physics
• Topology
• Introduction to functional analysis
• Probability for mathematicians
• Brownian motion
• Probability Seminar
• Large deviations
• Gaussian random vectors
• Gaussian measures and Gaussian processes
• Other courses

MISCELLANY

Anti-selfie

Once upon a time, googling myself, I noted images under a title "people also search for (view 10+)" and was quite surprised getting this:

Wikified a bit

• Sometimes I contribute to wikis: Encyclopedia of mathematics, Wikipedia.

Not-so-Frequently Asked Questions

• Tsirelson = Cirel'son ?
• There is "Tsirelson street" in Tel Aviv; any comments?

Office: Schreiber building, room 323

Office address: