Quantum / CONCEPT
Dissipative free-fermion roots in the upper half-plane
For a finite claw-free, even-hole-free graph with a simplicial clique, real couplings, a positive dissipation rate and no common root of the two independence polynomials, every root of the dissipative polynomial lies in the open upper half-plane.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS1
Every dissipative root has positive imaginary part
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- A counterexample to the multivariate hard-core occupancy boundstructural-affinity · Closed
- Actual real partition messagesstructural-affinity · Closed
- Concentrating two paths on the original bipartitionstructural-affinity · Closed
- GibbsOccupationstructural-affinity · Closed
- Independent-set partition and deletionstructural-affinity · Closed
- OccupationMomentsstructural-affinity · Closed
- Ordered partition recursionstructural-affinity · Closed
- PartitionRelabelingstructural-affinity · Closed
- The Catalan functional on finite linear forestsstructural-affinity · Closed
- The Catalan functional on pathsstructural-affinity · Closed
- The Triangular Prism Refutes Pandey's Parity Conjecturestructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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