Fermionic stochastic differential equations and the index of Fredholm operators

DOI10.1007/BF00745154zbMath0776.60074MaRDI QIDQ687559

David Applebaum

Publication date: 18 October 1993

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

stochastic differential equationindex of a Fredholm operatorfermion noise

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) (Semi-) Fredholm operators; index theories (47A53) Quantum stochastic calculus (81S25) Supersymmetry and quantum mechanics (81Q60)

Related Items (1)

Fermionic quantum stochastic flows

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Atiyah-Singer theorems: A probabilistic approach. I: The index theorem
• Fermion Ito's formula and stochastic evolutions
• Unification of Fermion and Boson stochastic calculus
• Fermion Ito's formula. II: The gauge process in fermion Fock space
• The Ito-Clifford integral
• On a class of stochastic flows driven by quantum Brownian motion
• Fermion flows and supersymmetry
• Stochastic calculus in superspace. II. Differential forms, supermanifolds and the Atiyah-Singer index theorem
• Compact metric spaces, Fredholm modules, and hyperfiniteness

This page was built for publication: Fermionic stochastic differential equations and the index of Fredholm operators