2 problems

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Uniqueness conjecture for the infinite-volume canonical Gibbs measure on the one-dimensional lattice
Consider a one-dimensional lattice system with real-valued, unbounded spins and a canonical ensemble. An infinite-volume Gibbs measure of the canonical ensemble is a Gibbs measure…
Conjectureopengibbs-measures one-dimensional-systems statistical-mechanicsarXiv posted 2 days ago
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Conjecture on the exclusion principle for eigenstates
Haldane's exclusion principle is used to define statistics for many-particle states. In the KYM, applying it to holon eigenstates gives the correct statistics, whereas applying it…
Conjectureopenanyons exclusion-statistics one-dimensional-systemsarXiv posted 2 days ago

Uniqueness conjecture for the infinite-volume canonical Gibbs measure on the one-dimensional lattice