صورة الغلاف

Random Walks on Infinite Groups

This text presents the basic theory of random walks on infinite, finitely generated groups, along with certain background material in measure-theoretic probability. The main objective is to show how structural features of a group, such as amenability/nonamenability, affect qualitative aspects of sym...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Lalley, Steven P. (مؤلف)
مؤلف مشترك: SpringerLink (Online service)
التنسيق: الكتروني كتاب الكتروني
اللغة:الإنجليزية
منشور في: Cham : Springer International Publishing : Imprint: Springer, 2023.
الطبعة:1st ed. 2023.
سلاسل:Graduate Texts in Mathematics, 297
الموضوعات:
Probabilities.
Potential theory (Mathematics).
Group theory.
Probability Theory.
Potential Theory.
Group Theory and Generalizations.
الوصول للمادة أونلاين:https://doi.org/10.1007/978-3-031-25632-5
الوسوم: إضافة وسم
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جدول المحتويات:
  • 1 First Steps
  • 2 The Ergodic Theorem
  • 3 Subadditivity and its Ramifications
  • 4 The Carne-Varopoulos Inequality
  • 5 Isoperimetric Inequalities and Amenability
  • 6 Markov Chains and Harmonic Functions
  • 7 Dirichlet’s Principle and the Recurrence Type Theorem
  • 8 Martingales
  • 9 Bounded Harmonic Functions
  • 10 Entropy
  • 11 Compact Group Actions and Boundaries
  • 12 Poisson Boundaries
  • 13 Hyperbolic Groups
  • 14 Unbounded Harmonic Functions
  • 15 Groups of Polynomial Growth
  • Appendix A: A 57-Minute Course in Measure–Theoretic Probability.

مواد مشابهة