Duality for Markov Processes A Lie Algebraic Approach /

This monograph studies duality in interacting particle systems, a topic combining probability theory, statistical physics, Lie algebras, and orthogonal polynomials. It offers the first comprehensive account of duality theory in the context of interacting particle systems. Using a Lie algebraic frame...

Deskribapen osoa

Gorde:
Xehetasun bibliografikoak
Egile Nagusiak: Giardinà, Cristian (Egilea), Redig, Frank (Egilea)
Erakunde egilea: SpringerLink (Online service)
Formatua: Baliabide elektronikoa eBook
Hizkuntza:ingelesa
Argitaratua: Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
Edizioa:1st ed. 2025.
Saila:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 365
Gaiak:
Sarrera elektronikoa:https://doi.org/10.1007/978-3-032-04099-2
Etiketak: Etiketa erantsi
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Aurkibidea:
  • 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.