Painlevé I limit conjecture for the rescaled tau-function near the critical surface
Painlevé I limit conjecture. There exists a choice of constant C=C(P0,u)>0C = C(P_0,{\bf u})>0C=C(P0,u)>0 and a polynomial Q(t1,t2,t5)Q(t_1,t_2,t_5)Q(t1,t2,t5) such that, defining τ^0:=eQ\hat{\tau}_0:= e^{Q}τ^0:=eQ, considered as a…