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This book is about a systematic Lie algebraic approach to duality for Markov processes. In this introduction, we explain in words what is duality, what are the fundamental concepts in the algebraic approach to duality, and how they can help in building a solid basis to find new dualities, and to apply duality in various contexts. We also provide an overview of the material in the book, including a short summary of the other chapters. Finally, we formulate the main choices made in the book, the intended audience, and possible reading paths.

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Introduction

  • 章节

  • 发表日期：

    2025年

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  • Cristian Giardinà,
  • Frank Redig

摘要

This book is about a systematic Lie algebraic approach to duality for Markov processes. In this introduction, we explain in words what is duality, what are the fundamental concepts in the algebraic approach to duality, and how they can help in building a solid basis to find new dualities, and to apply duality in various contexts. We also provide an overview of the material in the book, including a short summary of the other chapters. Finally, we formulate the main choices made in the book, the intended audience, and possible reading paths.