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We discuss chains of interacting Brownian motions.
T.E. Harris, Diffusion with “collisions” between particles. J. Appl. Probab. 2
1965
Earlier work this paper cites.
S.R.S. Varadhan and R.J. Williams, Brownian motion in a wedge with oblique reflection. Comm. Pure Appl. Math. 38
1984
Earlier work this paper cites.
D.A. Huse and C.L. Henley, Pinning and roughening of domain walls in Ising systems due to random impurities. Phys. Rev. Lett. 54
1985
Earlier work this paper cites.
H. van Beijeren, R. Kutner, and H. Spohn, Excess noise for driven diffusive systems. Phys. Rev. Lett. 54
1985
Earlier work this paper cites.
M. Kardar, G. Parisi, and Y.-C. Zhang, Dynamic scaling of growing interfaces. Phys. Rev. Lett. 56
1986
Earlier work this paper cites.
J.M. Harrison and R.J. Williams, Multidimensional reflected Brownian motions having exponential stationary distributions. Ann. Probab. 15
1987
Earlier work this paper cites.
M.Z. Guo, G.C. Papanicolaou, and S.R.S. Varadhan, Nonlinear diffusion limit for a system with nearest neighbor interactions. Commun. Math. Phys. 118
1988
Earlier work this paper cites.
H.-T. Yau, Relative entropy and hydrodynamics of Ginzburg-Landau models. Lett. Math. Phys. 22
1991
Earlier work this paper cites.
C.C. Chang and H.-T. Yau, Fluctuations of one dimensional Ginzburg-Landau models in nonequilibrium. Commun. Math. Phys. 145
1992
Earlier work this paper cites.
C.A. Tracy and H. Widom, On orthogonal and symplectic matrix ensembles. Commun. Math. Phys. 177
1996
Earlier work this paper cites.
H. McKean and K. Itô, Diffusion Processes and Their Sample Paths. Grundlehren der mathematischen Wissenschaften 125, Springer, New York, 1965 (reprinted in Classics in Mathematics, 1996)
1996
Earlier work this paper cites.
H. A. Bethe, On the theory of metals, I. eigenvalues and eigenfunctions of a linear chain of atoms (in German). Zeitschrift Phys. 74
1996
Earlier work this paper cites.
T. Sasamoto and M. Wadati, Determinantal form solution for the derivative nonlinear Schrödinger type model. J. Phys. Soc. Jpn. 67
1998
Earlier work this paper cites.
K. Johansson, Shape fluctuations and random matrices. Comm. Math. Phys. 209
2000
Earlier work this paper cites.
J. Baik and E.M. Rains, Limiting distributions for a polynuclear growth model with external sources. J. Stat. Phys. 100
2000
Cited alongside, same era.
M. Prähofer and H. Spohn, Universal distributions for growth processes in 1 + 1 1+1 dimensions and random matrices. Phys. Rev. Lett. 84
2000
Cited alongside, same era.
T. Sasamoto, Spatial correlations of the 1D KPZ surface on a flat substrate. J. Phys. A 38
2005
Cited alongside, same era.
P.L. Ferrari and H. Spohn, A determinantal formula for the GOE Tracy-Widom distribution. Journ. Physics A 37
2005
Cited alongside, same era.
P.L. Ferrari and H. Spohn, Scaling limit for the space-time covariance of the stationary totally asymmetric simple exclusion process. Comm. Math. Phys. 265
2006
Cited alongside, same era.
H. Holden and N.H. Risebro, Front Tracking for Hyperbolic Conservation Laws. Applied Mathematical Sciences 152, Springer-Verlag, Berlin 2011
2011
Later among the works it cites.
G. Amir, I. Corwin, and J. Quastel, Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 1+1 dimensions. Comm. Pure Appl. Math. 64
2011
Later among the works it cites.
I. Corwin, The Kardar-Parisi-Zhang equation and universality class. Random Matrices: Theory and Applications 1
2012
Later among the works it cites.
A. Borodin and V. Gorin, Lectures on integrable probability. arXiv
2012
Later among the works it cites.
H. Spohn, KPZ Scaling theory and the semi-discrete directed polymer model. MSRI Proceedings. arXiv
2012
Later among the works it cites.
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J. Moriarty and N. O’Connell, On the free energy of a directed polymer in a Brownian environment. Markov Processes Related Fields 13
2007
Cited alongside, same era.
J. Warren, Dyson’s Brownian motions, intertwining and interlacing. Electron. J. Probab. 12
2007
Cited alongside, same era.
A. Borodin, P.L. Ferrari, M. Prähofer, and T. Sasamoto, Fluctuation properties of the TASEP with periodic initial configuration. J. Stat. Phys. 129
2007
Cited alongside, same era.
A. Borodin, P.L. Ferrari, and M. Prähofer, Fluctuations in the discrete TASEP with periodic initial configurations and the Airy1 process. Int. Math. Res. Papers 2007
2007
Cited alongside, same era.
T. Sasamoto and H. Spohn, Superdiffusivity of the 1D lattice Kardar-Parisi-Zhang equation. Journ. Stat. Phys. 137
2009
Cited alongside, same era.
C.A. Tracy and H. Widom, Asymptotics in ASEP with step initial conditions. Commun. Math. Phys. 209
2009
Cited alongside, same era.
T. Sasamoto and H. Spohn, Exact height distributions for the KPZ equation with narrow wedge initial condition. Nuclear Phys. B 834
2010
Cited alongside, same era.
2012
Later among the works it cites.
A. Borodin and L. Petrov, Integrable probability: from representation theory to Macdonald processes. arXiv
2013
Later among the works it cites.
J. Quastel and D. Remenik, Airy processes and variational problems. arXiv
2013
Later among the works it cites.
P.L. Ferrari, H. Spohn, and T. Weiss, Scaling limit for Brownian motions with one-sided collisions. arXiv
2013
Later among the works it cites.
A. Borodin and I. Corwin, Macdonald processes. Probab. Theory Rel. Fields (2013), online
2013
Later among the works it cites.
A. Borodin, C. Corwin, and P.L. Ferrari, Free energy fluctuations for directed polymers in random media in 1+1 dimensions. arXiv
2014
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A. Borodin, C. Corwin, and T. Sasamoto, From duality to determinants for q-TASEP and ASEP. Ann. Probab. 42
2014
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S. Jansen and N. Kurt, On the notion(s) of duality for Markov processes. arXiv: 1210.7193v2 (2014)
2014
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