High-temperature Poisson variational limit conjecture for directed polymers in region R5R_5R5
Let R5:={(γc,γa):γa>1/2, max{0,2/γa−1,(γa−5)/(γa−2)}<γc<3/(2γa)}R_5:=\{(\gamma_c,\gamma_a): \gamma_a>1/2,\ \max\{0,2/\gamma_a-1,(\gamma_a-5)/(\gamma_a-2)\}<\gamma_c<3/(2\gamma_a)\}R5:={(γc,γa):γa>1/2, max{0,2/γa−1,(γa−5)/(γa−2)}<γc<3/(2γa)}. Consider the directed-polymer partition function…