Duality for Markov Processes: A Lie Algebraic Approach
Author:   Cristian Giardinà ,  Frank Redig
Publisher:   Springer Nature Switzerland AG
ISBN:  

9783032040985


Pages:   551
Publication Date:   03 January 2026
Format:   Hardback
Availability:   Not yet available   Availability explained
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Duality for Markov Processes: A Lie Algebraic Approach


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Author:   Cristian Giardinà ,  Frank Redig
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
ISBN:  

9783032040985


ISBN 10:   3032040981
Pages:   551
Publication Date:   03 January 2026
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Not yet available   Availability explained
This item is yet to be released. You can pre-order this item and we will dispatch it to you upon its release.

Table of Contents

Chapter 1. Introduction.- Chapter 2. Basics of the algebraic approach.- Chapter 3. Duality for independent random walkers: part 1.- Chapter 4. Duality for independent random walkers: part 2.- Chapter 5. Duality for the symmetric inclusion process.- Chapter 6. Duality for the Brownian energy process.- Chapter 7. Duality for the symmetric partial exclusion process.- Chapter 8. Duality for other models.- Chapter 9. Orthogonal dualities.- Chapter 10. Consistency.- Chapter 11. Duality for non-equilibrium systems.- Chapter 12. Duality and macroscopic fields.- Chapter 13. Duality and integrable models.

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Author Information

Cristian Giardinà is a professor of mathematics at Modena and Reggio Emilia University. His research activity centers on probability theory, statistical physics, and interacting particle systems. He has been working on duality properties of Markov processes, the hydrodynamic limit of open systems, large deviations and cloning algorithms, and the Ising model on random graphs. The overall aim is to understand how complex macroscopic behavior arises from microscopic models. He has published over 90 scientific papers, and two monographs on “Free boundary problems in PDE and particle systems” and “Perspectives on spin glasses”.  Frank Redig is a professor of probability theory at the Delft Institute of Applied Mathematics. His research focuses on Markov process theory, Gibbs measures, non-equilibrium statistical physics, and interacting particle systems.

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