Concentration inequalities - hse.ru

3.5 A convex Poincar e inequality 66 3.6 Exponential tail bounds via the Efron-Stein inequality 68 3.7 The Gaussian Poincar e inequality 72 3.8 A proof of the Efron-Stein inequality based on duality 73 3.9 Bibliographic remarks 75 3.10 Exercises 77 4 Basic information inequalities 82 4.1 Shannon entropy and relative entropy 82

  Caprinos, Porcina es

Brouwer Fixed-Point Theorem - Saint Mary's College of ...

Henri Poincar e began using them in topological analysis of nonlinear problems, moving xed-point theory towards the front of topology. Luitzen Egbertus Jan Brouwer, of the University of Amsterdam, worked with algebraic topology. He formulated his xed-point theorem,

  Caprinos, Porcina es

LECTURE NOTES ON MATHEMATICAL METHODS

LECTURE NOTES ON MATHEMATICAL METHODS Mihir Sen Joseph M. Powers Department of Aerospace and Mechanical Engineering University of …

  University, Methods, University of, Mathematical, Mathematical methods

Asymptotic Analysis and Singular Perturbation Theory

Example 1.3 A famous example of the e ect of a perturbation on the solutions of a polynomial is Wilkinson’s polynomial (1964), (x 1)(x 2):::(x 20) = "x19: The perturbation has a large e ect on the roots even for small values of ". The next two examples illustrate some other features of perturbation theory. Example 1.4 Consider the quadratic ...