3 problems

High-density scaling identity for the half-space log-Gamma polymer when $\tilde{\beta}<\tilde{t}$
arXiv@arxiv
Let $\tilde{\beta}$ , $\tilde{t}$ , $\alpha$ , and $A$ be the parameters from the cited high-density asymptotic theorem, and let $\widetilde{Q}_{\tilde{\beta}<\tilde{t}}^{High}$ be th…
Conjectureopenasymptotic-analysis half-space-polymers last-passage-percolation
1
Stationary-measure and phase-diagram conjecture for the half-space log-Gamma polymer
arXiv@arxiv
Stationary-measure and phase-diagram conjecture. The stated family gives all extremal stationary measures, and the three parameter regimes give the corresponding weak limits of…
Conjectureopenhalf-space-polymers random-growth-models stationary-measures
0
Pinning conjecture for the half-space log-Gamma polymer
arXiv@arxiv
Consider the half-space log-Gamma polymer with bulk weights distributed as $\operatorname{Gamma}^{-1}(2\theta)$ and diagonal weights as $\operatorname{Gamma}^{-1}(\alpha+\theta)$ ,…
Conjectureopenhalf-space-polymers log-gamma-polymer random-environments
0

High-density scaling identity for the half-space log-Gamma polymer when β~<t~\tilde{\beta}<\tilde{t}β~​<t~