Boris Tsirelson
Encyclopedia
Boris Semyonovich Tsirelson is a Soviet-Israel
i mathematician
and Professor of Mathematics in the Tel Aviv University
in Israel
.
to a Russian Jewish family. From his father Simeon's side, he is the great-nephew of rabbi Yehuda Leib Tsirelson
, chief rabbi of Bessarabia
from 1918 to 1941, and a prominent posek
and Jewish leader.
Tsirelson obtained his M.S. from the university of Leningrad
; he stayed in Leningrad to pursue his graduate studies, finishing his PhD in 1975.
Later, he participated in the refusenik
movement, but only received permission to emigrate to Israel in 1991. Since then, he is a professor in Tel-Aviv University.
and functional analysis
. They include:
Israel
The State of Israel is a parliamentary republic located in the Middle East, along the eastern shore of the Mediterranean Sea...
i mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
and Professor of Mathematics in the Tel Aviv University
Tel Aviv University
Tel Aviv University is a public university located in Ramat Aviv, Tel Aviv, Israel. With nearly 30,000 students, TAU is Israel's largest university.-History:...
in Israel
Israel
The State of Israel is a parliamentary republic located in the Middle East, along the eastern shore of the Mediterranean Sea...
.
Biography
Boris Tsirelson was born in LeningradLeningrad
Leningrad is the former name of Saint Petersburg, Russia.Leningrad may also refer to:- Places :* Leningrad Oblast, a federal subject of Russia, around Saint Petersburg* Leningrad, Tajikistan, capital of Muminobod district in Khatlon Province...
to a Russian Jewish family. From his father Simeon's side, he is the great-nephew of rabbi Yehuda Leib Tsirelson
Yehuda Leib Tsirelson
Yehuda Leib Tsirelson wat the Chief Rabbi of Bessarabia, a member of the Romanian parliament, and a prominent Jewish leader and posek.-Biography:...
, chief rabbi of Bessarabia
Bessarabia
Bessarabia is a historical term for the geographic region in Eastern Europe bounded by the Dniester River on the east and the Prut River on the west....
from 1918 to 1941, and a prominent posek
Posek
Posek is the term in Jewish law for "decider"—a legal scholar who decides the Halakha in cases of law where previous authorities are inconclusive or in those situations where no halakhic precedent exists....
and Jewish leader.
Tsirelson obtained his M.S. from the university of Leningrad
Saint Petersburg State University
Saint Petersburg State University is a Russian federal state-owned higher education institution based in Saint Petersburg and one of the oldest and largest universities in Russia....
; he stayed in Leningrad to pursue his graduate studies, finishing his PhD in 1975.
Later, he participated in the refusenik
Refusenik (Soviet Union)
Refusenik was an unofficial term for individuals, typically but not exclusively, Soviet Jews, who were denied permission to emigrate abroad by the authorities of the former Soviet Union and other countries of the Eastern bloc...
movement, but only received permission to emigrate to Israel in 1991. Since then, he is a professor in Tel-Aviv University.
Contributions to mathematics
Tsirelson has made notable contributions to probability theoryProbability theory
Probability theory is the branch of mathematics concerned with analysis of random phenomena. The central objects of probability theory are random variables, stochastic processes, and events: mathematical abstractions of non-deterministic events or measured quantities that may either be single...
and functional analysis
Functional analysis
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure and the linear operators acting upon these spaces and respecting these structures in a suitable sense...
. They include:
- Tsirelson's boundTsirelson's boundTsirelson's bound, also known as Tsirelson's inequality, or in another transliteration, Cirel'son's inequality, is an inequality that imposed an upper limit to quantum mechanical correlations between distant events...
, in quantum mechanicsQuantum mechanicsQuantum mechanics, also known as quantum physics or quantum theory, is a branch of physics providing a mathematical description of much of the dual particle-like and wave-like behavior and interactions of energy and matter. It departs from classical mechanics primarily at the atomic and subatomic...
, is an inequality, related to the issue of quantum nonlocalityQuantum nonlocalityQuantum nonlocality is the phenomenon by which measurements made at a microscopic level necessarily refute one or more notions that are regarded as intuitively true in classical mechanics...
. - Tsirelson spaceTsirelson spaceIn mathematics, Tsirelson space T is an example of a reflexive Banach space in which neither an l p space nor a c0 space can be embedded.It was introduced by B. S. Tsirelson in 1974...
is an example of a reflexiveReflexive spaceIn functional analysis, a Banach space is called reflexive if it coincides with the dual of its dual space in the topological and algebraic senses. Reflexive Banach spaces are often characterized by their geometric properties.- Normed spaces :Suppose X is a normed vector space over R or C...
Banach spaceBanach spaceIn mathematics, Banach spaces is the name for complete normed vector spaces, one of the central objects of study in functional analysis. A complete normed vector space is a vector space V with a norm ||·|| such that every Cauchy sequence in V has a limit in V In mathematics, Banach spaces is the...
in which neither a l p spaceLp spaceIn mathematics, the Lp spaces are function spaces defined using a natural generalization of the p-norm for finite-dimensional vector spaces...
nor a c0 spaceLp spaceIn mathematics, the Lp spaces are function spaces defined using a natural generalization of the p-norm for finite-dimensional vector spaces...
can be embedded. - The Tsirelson drift, a counterexample in the theory of stochastic differential equations.
- Gaussian isoperimetric inequality (proved by V. Sudakov, B. Tsirelson, and independently by Ch. Borell), stating that affine halfspaces are the isoperimetric sets for the Gaussian measureProbability spaceIn probability theory, a probability space or a probability triple is a mathematical construct that models a real-world process consisting of states that occur randomly. A probability space is constructed with a specific kind of situation or experiment in mind...
.
External links
- Tsirelson's homepage, at Tel Aviv UniversityTel Aviv UniversityTel Aviv University is a public university located in Ramat Aviv, Tel Aviv, Israel. With nearly 30,000 students, TAU is Israel's largest university.-History:...