RESEARCH

Recent works

• papers
  • "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
  • "Subproduct systems of Hilbert spaces: dimension two"
    arXiv:0906.4255.
  • "Graded algebras and subproduct systems: dimension two"
    arXiv:0905.4418.
  • "Uniformly spread measures and vector fields"
    (with Mikhail Sodin)
    arXiv:0801.2505.
  • "Moderate deviations for random fields and random complex zeroes"
    arXiv:0801.1050.
  • "Divergence of a stationary random vector field can be always positive (a Weiss' phenomenon)"
    arXiv:0709.1270.
  • "Some extremal problems related to Bell-type inequalities"
    arXiv:0706.1091.
  • "Moderate deviations for log-like functions of stationary Gaussian processes"
    arXiv:math.PR/0703289.
  • See also eprints of 2006 and before
• other
  • "Moderate deviations for random fields and random complex zeroes",
    abstract of a talk in Oberwolfach, June 2008. PDF or PS.
  • "Bell inequalities and operator algebras"

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)

The list of my publications

TEACHING

• Topology
• Introduction to functional analysis
• Probability for mathematicians
• Brownian motion
• Probability Seminar
• Large deviations
• Gaussian random vectors
• Gaussian measures and Gaussian processes
• Brownian motions and stochastic flows
• Advanced probability theory
• White noises, black noises and other scaling limits
• Probabilistic aspects of economic games
• Introduction to Probability
• Probability Theory
• Introduction to Stochastic Processes
• Other courses

MISCELLANY

• I am also a wikipedian

Not-so-Frequently Asked Questions

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

Science - publishers - computerization

• Probability Surveys
• Probability web : people / links
• MathSciNet (Mathematical Reviews) : search (paid)
• All kinds of mathematical information : Math Virtual Library
• Electronic Library of Math
• The arXiv: http://arXiv.org/
• Cross archive search : Google scholar / OAIster / OAI Search Interface (myoai) / CiteSeer / RePEc / PubMed / CitebaseSearch / Scirus / Perseus / OAI Repositary Explorer (sunsite) / MetaArchive.
• "Can peer review be better focused?" by Paul Ginsparg: http://arxiv.org/blurb/pg02pr.html
• Berlin declaration on open access to knowledge in the sciences and humanities: http://www.zim.mpg.de/openaccess-berlin/berlindeclaration.html
• Budapest initiative: http://www.soros.org/openaccess/
• Committee on Electronic Information and Communication: http://www.ceic.math.ca/

Science and society

• Zoologists eject mathematicians?! (the Uppsala scandal) See EMIS, Oleg Viro, Wikipedia
• To boycott or not to boycott: Wikipedia, Ron Evans

Anti-Spam

• Wikipedia: E-mail spam.
• SpamCop: report your spam.
• The European Coalition Against Unsolicited Commercial Email (EuroCAUCE).
• Federal Trade Commission.

Office: Schreiber building, room 323

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