Directory
References

ergodic theory

mathematics

Learn about this topic in these articles:

Lindenstrauss

  • In Elon Lindenstrauss

    His work involved ergodic theory (a branch of mathematics that arose from statistical physics), which he used to make significant progress on problems in number theory, such as the Littlewood conjecture about approximations to irrational numbers, and in quantum chaos, such as the quantum unique ergodicity conjecture.

    Read More

Sinai

  • In Yakov Sinai

    …fundamental contributions to dynamical systems, ergodic theory, and mathematical physics.”

    Read More

inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions. Inequalities can be posed either as questions, much like equations, and solved by similar techniques, or as statements of fact in the form of theorems. For example, the triangle inequality states that the sum of the lengths of any two sides of a triangle is greater than or equal to the length of the remaining side. Mathematical analysis relies on many such inequalities (e.g., the Cauchy-Schwarz inequality) in the proofs of its most important theorems.

This article was most recently revised and updated by William L. Hosch.