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framework:windowed-hamiltonian

Windowed Hamiltonian

Core technical concept: a Hamiltonian where spin-spin interactions are defined only within finite windows ω, enabling generic analysis across diverse lattices

Neighborhood — ranked by edge-count

Concepts (1)

concept
  • Local Hamiltonian
    implements
    Sum of windowed Hamiltonians with same window length; a key construct introduced in the paper to model local interactions on graphs

Frameworks (3)

framework
  • Topological constraints on self-organisation framework
    implements
    Main framework: uses scaling of free energy under domain wall formation to determine whether local interactions can sustain ordered phases based on graph topology alone
  • Autoregressive models
    implements
    Second model system studied; used to show why flat autoregressive LLMs struggle with long-range coherence.
  • Potts model
    implements
    One of three model systems studied to analyze free-energy scaling and domain-wall formation in self-organizing systems.

Related by similarity (8)

cosine ≥ 0.65 · no typed edge

Entities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.