4 problems

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Strong tau-sequence conjecture for antimorphic-digraph R-systems
Antimorphic-digraph tau-sequence conjecture. The $R$ -systems associated with antimorphic digraphs possess strong $\tau$ -sequences $Y(t)$ with the substitution
Conjectureopengraph-dynamics integrable-systems r-systemsarXiv posted 2 days ago
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Laurent irreducibility conjecture for toric-digraph R-systems
Toric-digraph Laurent irreducibility conjecture. The rational functions $Y_v(t)$ are pairwise coprime irreducible polynomials in $\mathbf{x}_V$ ; more precisely, they are irreducibl…
Conjectureopenlaurent-polynomials r-systems toric-graphsarXiv posted 2 days ago
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Quadratic-growth tau-sequence conjecture for octagon posets
Octagon-poset tau-sequence conjecture. For each octagon poset $P$ , the $R$ -system associated with $G(P)$ admits a strong $\tau$ -sequence consisting of irreducible Laurent polynomia…
Conjectureopenalgebraic-entropy r-systems singularity-confinementarXiv posted 2 days ago
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Generalized Grassmannian tau-sequence conjecture for universal R-systems
Generalized Grassmannian tau-sequence conjecture. The universal $R$ -system with coefficients associated with $G$ admits $\operatorname{GR}(n;p,q)$ as a strong $\tau$ -sequence, with…
Conjectureopenintegrable-systems laurent-polynomials r-systemsarXiv posted 2 days ago

Strong tau-sequence conjecture for antimorphic-digraph R-systems