Endpoint distribution of directed polymers in 1+1 dimensions
  We give an explicit formula for the joint density of the max and argmax of the Airy$_2$ process minus a parabola. The argmax has a universal distribution which governs the rescaled endpoint for large time or temperature of directed polymers in 1+1 dimensions. 
Gregorio Moreno Flores, Jeremy Quastel, Daniel Remenik
math.PR math-ph math.MP