Statistical de Rham Hodge operators, spectral Einstein functionals and the noncommutative residue
Abstract
Inspired by statistical de Rham Hodge operators and the spectral functionals, we carry on some promotion to spectral functionals to noncommutative fields, and associate them with the noncommutative residue on manifolds with boundary. We prove the Dabrowski-Sitarz-Zalecki type theorem for statistical de Rham Hodge operators on manifolds with boundary.
Fields of Study & Subjects
Advanced Operator Algebra Research
Noncommutative and Quantum Gravity Theories
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 31 January 2026
- Document type
- Preprint