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We establish Tracy-Widom asymptotics for the partition function of a random polymer model with gamma-distributed weights recently introduced by Sepp\"al\"ainen.
Aufgaben und Lehrsätze aus der Analysis
Polya, G., and Szego, G · 1925
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Handbook of Mathematical Functions
Abramowitz, M., and Stegun, I. A · 1965
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Directed Percolation and Tandem Queues
O’Connell, N · 1999
Earlier work this paper cites.
Introduction to Tropical Combinatorics
Kirillov, A. N · 2001
Earlier work this paper cites.
Brownian analogues of Burke’s theorem
O’Connell, N., and Yor, M · 2001
Earlier work this paper cites.
Queues, stores, and tableaux
Draief, M., Mairesse, J., and O’Connell, N · 2005
Earlier work this paper cites.
On the free energy of a directed polymer in a Brownian environment
Moriarty, J., and O’Connell, N · 2007
Cited alongside, same era.
Unpublished notes, February 2010
Seppäläinen, T · 2010
Cited alongside, same era.
Bounds for scaling exponents for a 1+1 dimensional directed polymer in a Brownian environment
Seppäläinen, T., and Valkó, B · 2010
Cited alongside, same era.
Directed polymers and the quantum Toda lattice
O’Connell, N · 2012
Cited alongside, same era.
Scaling for a one-dimensional directed polymer with boundary conditions
Seppäläinen, T · 2012
Cited alongside, same era.
Note sur une relation entre les intégrales définies des produits des fonctions
Andréiev, C
Cited in the paper.
Log-gamma polymer free energy fluctuations via a Fredholm determinant identity
Borodin, A., Corwin, I., and Remenik, D · 2013
Later among the works it cites.
Geometric RSK correspondence, Whittaker functions and symmetrized random polymers
O’Connell, N., Seppäläinen, T., and Zygouras, N · 2013
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Macdonald processes
Borodin, A., and Corwin, I · 2014
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Free energy fluctuations for directed polymers in random media in 1 + 1 1+1 dimensions
Borodin, A., Corwin, I., and Ferrari, P. L · 2014
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Tropical combinatorics and Whittaker functions
Corwin, I., O’Connell, N., Seppäläinen, T., and Zygouras, N · 2014
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