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math.PR2017
Fluctuation exponents for stationary exactly solvable lattice polymer models via a Mellin transform framework
Hans Chaumont, Christian Noack
We develop a Mellin transform framework which allows us to simultaneously analyze the four known exactly solvable 1+1 dimensional lattice polymer models: the log-gamma, strict-weak…
math.PR2017
Characterizing stationary 1+1 dimensional lattice polymer models
Hans Chaumont, Christian Noack
Motivated by the study of directed polymer models with random weights on the square integer lattice, we define an integrability property shared by the log-gamma, strict-weak, beta,…