Scaling for a One-dimensional Directed Polymer with Boundary Conditions ( Revised )

@inproceedings{Sepplinen2015ScalingFA,
  title={Scaling for a One-dimensional Directed Polymer with Boundary Conditions ( Revised )},
  author={Timo Sepp{\"a}l{\"a}inen},
  year={2015}
}
We study a 1+1-dimensional directed polymer in a random environment on the integer lattice with log-gamma distributed weights. Among directed polymers this model is special in the same way as the last-passage percolation model with exponential or geometric weights is special among growth models, namely, both permit explicit calculations. With appropriate boundary conditions the polymer with log-gamma weights satisfies an analogue of Burke’s theorem for queues. Building on this we prove the… CONTINUE READING
Highly Cited
This paper has 31 citations. REVIEW CITATIONS

From This Paper

Figures, tables, and topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 34 references

Seppäläinen. Cube root fluctuations for the corner growth model associated to the exclusion process

Márton Balázs, Eric Cator, Timo
Electron. J. Probab., • 2006
View 5 Excerpts
Highly Influenced

Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions

Gideon Amir, Ivan Corwin, Jeremy Quastel
Comm. Pure Appl. Math., • 2011
View 3 Excerpts

Seppäläinen. Fluctuation exponent of the KPZ/stochastic Burgers equation

Márton Balázs, Jeremy Quastel, Timo
J. Amer. Math. Soc., • 2011
View 1 Excerpt

Groeneboom. Second class particles and cube root asymptotics for Hammersley’s process

Eric Cator, Piet
Ann. Probab., • 2006
View 3 Excerpts

Groeneboom. Hammersley’s process with sources and sinks

Eric Cator, Piet
Ann. Probab., • 2005
View 1 Excerpt

Similar Papers

Loading similar papers…