Zobacz książki o podobnej tematyce

Więcej informacji o Superconcentration and Related Topics

• Dane szczegółowe
• Opis
• Ulubione w innej kategorii

Za ten zakup dostaniesz 290 punkty

Opis

A certain curious feature of random objects, introduced by the author as superconcentration, and two related topics, chaos and multiple valleys, are highlighted in this book. Although superconcentration has established itself as a recognized feature in a number of areas of probability theory in the last twenty years (under a variety of names), the author was the first to discover and explore its connections with chaos and multiple valleys. He achieves a substantial degree of simplification and clarity in the presentation of these findings by using the spectral approach.§Understanding the fluctuations of random objects is one of the major goals of probability theory and a whole subfield of probability and analysis, called concentration of measure, is devoted to understanding these fluctuations. This subfield offers a range of tools for computing upper bounds on the orders of fluctuations of very complicated random variables. Usually, the general concentration of measure techniques is required when more direct problem-specific approaches fail; as a result, it has massively gained acceptance over the last forty years. And yet, there is a large class of problems in which classical concentration of measure produces suboptimal bounds on the order of fluctuations. Here lies the substantial contribution of this book, which developed from a set of six lectures the author first held at the Cornell Probability Summer School in July 2012.§The book is interspersed with a sizable number of open problems for professional mathematicians as well as exercises for graduate students working in the fields of probability theory and mathematical physics. The material is accessible to anyone who has attended a graduate course in probability.§

Szczegóły książki

Kategoria Książki po angielsku Mathematics & science Mathematics Probability & statistics

• Pełny tytuł: Superconcentration and Related Topics
• Autor: Sourav Chatterjee
• Język: Angielski
• Oprawa: Twarda
• Liczba stron: 156
• EAN: 9783319038858
• ISBN: 3319038850
• ID: 02267208
• Wydawca: Springer International Publishing AG
• Waga: 410 g
• Wymiary: 164 × 240 × 17 mm
• Data wydania: 22. January 2014

Ulubione w innej kategorii

---

---

---