Fetching the paper…
Reading the bibliography…
We study the solution of the Kardar-Parisi-Zhang (KPZ) equation for the stochastic growth of an interface of height $h(x,t)$ on the positive half line, equivalently the free energy of the continuum directed polymer in a half space with a wall at $x=0$.
N. De Bruijn, On some multiple integrals involving determinants
1955
Earlier work this paper cites.
E. H. Lieb and W. Liniger, Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
1963
Earlier work this paper cites.
J. B. McGuire, Study of Exactly Soluble One-Dimensional N-Body Problems
1964
Earlier work this paper cites.
M. Gaudin, Boundary Energy of a Bose Gas in One Dimension
1971
Earlier work this paper cites.
Ergodic theorems for the asymmetric simple exclusion process
T. M. Liggett, · 1975
Earlier work this paper cites.
E. Gutkin, B. Sutherland, Completely integrable systems and groups generated by reflections
1979
Earlier work this paper cites.
A boundary value problem associated with the second Painlevé transcendent and the Korteweg-De Vries equation
S. P. Hastings and J. B. Mcleod · 1980
Earlier work this paper cites.
M. Kardar, Depinning by quenched randomness
1985
Earlier work this paper cites.
M. Kardar, G. Parisi and Y-C. Zhang, Dynamic Scaling of Growing Interfaces
1986
Earlier work this paper cites.
M. Kardar, Replica Bethe ansatz studies of two-dimensional interfaces with quenched random impurities
1987
Earlier work this paper cites.
General determinants and the tau function for the Kadomtsev–Petviashvili hierarchy
C. Poppe · 1989
Earlier work this paper cites.
Exact solution of a 1D asymmetric exclusion model using a matrix formulation
B. Derrida, M. R. Evans, V. Hakim and V. Pasquier, · 1993
Earlier work this paper cites.
C. A. Tracy, H. Widom, Level-spacing distributions and the Airy kernel
1994
Earlier work this paper cites.
Overlapping Pfaffians
D. E. Knuth · 1995
Earlier work this paper cites.
Symmetric functions and Hall polynomials
I. G. Macdonald, · 1995
Earlier work this paper cites.
C. A. Tracy, H. Widom, On orthogonal and symplectic matrix ensembles
1996
Earlier work this paper cites.
G. J. Heckman, E. M. Opdam, Yang’s System of Particles and Hecke Algebras
1997
Earlier work this paper cites.
J. Baik and E.M. Rains, Limiting distributions for a polynuclear growth model with external sources
2000
Earlier work this paper cites.
Painleve transcendent evaluation of the scaled distribution of the smallest eigenvalue in the Laguerre orthogonal and symplectic ensembles
PJ Forrester · 2000
Earlier work this paper cites.
Correlation functions for symmetrized increasing subsequences
E. M. Rains, · 2000
Earlier work this paper cites.
J. Baik, E. M. Rains, Limiting distributions for a polynuclear growth model with external sources
2000
Earlier work this paper cites.
Symmetrized random permutations
J. Baik and E. M. Rains, · 2001
Earlier work this paper cites.
The asymptotics of monotone subsequences of involutions
J. Baik and E. M. Rains, · 2001
Earlier work this paper cites.
Brownian analogues of Burke’s theorem
N. O’Connell and M. Yor, · 2001
Earlier work this paper cites.
GUEs and queues
Y. Baryshnikov, · 2001
Earlier work this paper cites.
Limit theorems for height fluctuations in a class of discrete space and time growth models
J. Gravner, C. A. Tracy and H. Widom, · 2001
Earlier work this paper cites.
M. Prahofer and H. Spohn Current fluctuations for the totally asymmetric simple exclusion process
2002
Earlier work this paper cites.
T. Sasamoto, T. Imamura, Fluctuations of a one-dimensional polynuclear growth model in a half space
2004
Earlier work this paper cites.
S. Grosskinsky Phase transitions in nonequilibrium stochastic particle systems with local conservation laws
2004
Earlier work this paper cites.
The asymmetric exclusion process and Brownian excursions
B. Derrida, C. Enaud, and J. Lebowitz · 2004
Earlier work this paper cites.
Fluctuations of the one-dimensional polynuclear growth model with external sources
T. Imamura and T. Sasamoto · 2004
Earlier work this paper cites.
Eynard–Mehta theorem, Schur process, and their Pfaffian analogs
A. Borodin and E. M. Rains · 2005
Earlier work this paper cites.
C. Tracy, H. Widom, Matrix kernels for the Gaussian orthogonal and symplectic ensembles
2005
Earlier work this paper cites.
A determinantal formula for the GOE Tracy-Widom distribution
P. L. Ferrari and H. Spohn, · 2005
Earlier work this paper cites.
Exact solutions for KPZ-type growth processes, random matrices, and equilibrium shapes of crystals
H. Spohn, · 2006
Earlier work this paper cites.
P. L. Ferrari and H. Spohn, Scaling limit for the space-time covariance of the stationary totally asymmetric simple exclusion process
2006
Earlier work this paper cites.
N. Oelkers, M.T. Batchelor, M. Bortz, X.W. Guan, Bethe Ansatz study of one-dimensional Bose and Fermi gases with periodic and hard wall boundary conditions
2006
Earlier work this paper cites.
Y. Hao, Y. Zhang, J. Q. Liang and S. Chen, Ground-state properties of one-dimensional ultracold Bose gases in a hard-wall trap
2006
Earlier work this paper cites.
C. A. Tracy and H. Widom, Integral formulas for the asymmetric simple exclusion process
2008
Earlier work this paper cites.
Asymptotics of Tracy-Widom distributions and the total integral of a Painlevé II function
J. Baik, R. Buckingham, and J. DiFranco, · 2008
Earlier work this paper cites.
The largest sample eigenvalue distribution in the rank 1 quaternionic spiked model of Wishart ensemble
D. Wang, · 2009
Earlier work this paper cites.
C. A. Tracy and H. Widom, On ASEP with step bernoulli initial condition
2009
Earlier work this paper cites.
On the numerical evaluation of distributions in random matrix theory: a review
F. Bornemann · 2009
Cited alongside, same era.
P. L. Ferrari, From interacting particle systems to random matrices
2010
Cited alongside, same era.
P. Calabrese, P. Le Doussal, A. Rosso, Free-energy distribution of the directed polymer at high temperature
2010
Cited alongside, same era.
V. Dotsenko, Bethe ansatz derivation of the Tracy-Widom distribution for one-dimensional directed polymers
2010
Cited alongside, same era.
V. Dotsenko Replica Bethe ansatz derivation of the Tracy–Widom distribution of the free energy fluctuations in one-dimensional directed polymers
2010
Cited alongside, same era.
V. Dotsenko and B. Klumov, Bethe ansatz solution for one-dimensional directed polymers in random media
M. Gaudin and J-S Caux. The Bethe Wavefunction
2014
Later among the works it cites.
2014
Later among the works it cites.
The intermediate disorder regime for directed polymers in dimension 1 + 1 1+1
T. Alberts, K. Khanin and J. Quastel, · 2014
Later among the works it cites.
J. Quastel and H. Spohn, The one-dimensional KPZ equation and its universality class, J. Stat.Phys. 160 (2015), 965–984
2015
Later among the works it cites.
A. Borodin, I. Corwin, P. L. Ferrari. B. Veto, Height fluctuations for the stationary KPZ equation
2015
Later among the works it cites.
I. Corwin, J. Quastel, et D. Remenik, Renormalization fixed point of the KPZ universality class
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2010
Cited alongside, same era.
T. Sasamoto, H. Spohn, One-dimensional Kardar-Parisi-Zhang equation: an exact solution and its universality
2010
Cited alongside, same era.
2010
Cited alongside, same era.
T. Sasamoto and H. Spohn, The crossover regime for the weakly asymmetric simple exclusion process
2010
Cited alongside, same era.
J. Baik, P. L. Ferrari, and S. Péché, Limit process of stationary TASEP near the characteristic line
2010
Cited alongside, same era.
K. A. Takeuchi, M. Sano, Universal fluctuations of growing interfaces: Evidence in turbulent liquid crystals
2010
Cited alongside, same era.
E. Emsiz, Completeness of the Bethe ansatz on Weyl alcoves
2010
Cited alongside, same era.
2015
Later among the works it cites.
T. Halpin-Healy, K. A. Takeuchi, A KPZ cocktail-shaken, not stirred: Toasting 30 years of kinetically roughened surfaces
2015
Later among the works it cites.
Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz
A. Borodin, I. Corwin, L. Petrov and T. Sasamoto, · 2015
Later among the works it cites.
Spectral theory for the q-Boson particle system
A. Borodin, I. Corwin, L. Petrov and T. Sasamoto, · 2015
Later among the works it cites.
Symmetric and nonsymmetric Hall-Littlewood polynomials of type BC
V. Venkateswaran, · 2015
Later among the works it cites.
J. Ortmann, J. Quastel, D. Remenik, A Pfaffian representation for flat ASEP
2015
Later among the works it cites.
Lectures on integrable probability: stochastic vertex models and symmetric functions
A. Borodin and L. Petrov, · 2016
Later among the works it cites.
K. A. Takeuchi, An appetizer to modern developments on the Kardar–Parisi–Zhang universality class
2016
Later among the works it cites.
2016
Later among the works it cites.
J. Ortmann, J. Quastel and D. Remenik, Exact formulas for random growth with half-flat initial data
2016
Later among the works it cites.
A. Borodin, A. Bufetov, I. Corwin, Directed random polymers via nested contour integrals
2016
Later among the works it cites.
P. Le Doussal (2016) Unpublished notes
2016
Later among the works it cites.
From the totally asymmetric simple exclusion process to the KPZ fixed point
J. Quastel and K. Matetski, · 2017
Later among the works it cites.
J. De Nardis, P. Le Doussal, K. A. Takeuchi, Memory and universality in interface growth
2017
Later among the works it cites.
J. Baik, G. Barraquand, I. Corwin and T. Suidan, Facilitated exclusion process
2017
Later among the works it cites.
J.F. van Diejen, E. Emsiz, Orthogonality of Bethe Ansatz eigenfunctions for the Laplacian on a hyperoctahedral Weyl alcove
2017
Later among the works it cites.
A. Aggarwal, Current Fluctuations of the Stationary ASEP and Six-Vertex Model, Duke Math.J. 167(2018), 269–384
2018
Later among the works it cites.
2018
Later among the works it cites.
Ann. Probab. 46
J. Baik, G. Barraquand, I. Corwin and T. Suidan, Pfaffian Schur processes and last passage percolation in a half-quadrant · 2018
Later among the works it cites.
Stochastic six-vertex model in a half-quadrant and half-line open ASEP
G. Barraquand, A. Borodin, I. Corwin, M. Wheeler, · 2018
Later among the works it cites.
Half-space Macdonald processes
G. Barraquand, A. Borodin and I. Corwin, · 2018
Later among the works it cites.
Large fluctuations of the KPZ equation in a half-space
A. Krajenbrink, P. Le Doussal, · 2018
Later among the works it cites.
Open ASEP in the weakly asymmetric regime
I. Corwin and H. Shen, · 2018
Later among the works it cites.
P. Ghosal. Moments of the SHE under delta initial measure
2018
Later among the works it cites.
Intermediate disorder regime for half-space directed polymers
X. Wu, · 2018
Later among the works it cites.
2018
Later among the works it cites.
2019
Later among the works it cites.
Stationary half-space last passage percolation
D. Betea, P. L. Ferrari and A. Occelli, · 2019
Later among the works it cites.
The KPZ limit of ASEP with boundary
S. Parekh · 2019
Later among the works it cites.
S. Parekh. Positive random walks and an identity for half-space SPDEs
2019
Later among the works it cites.
Limit fluctuations for density of asymmetric simple exclusion processes with open boundaries
W. Bryc, Y. Wang · 2019
Later among the works it cites.
KP governs random growth off a one dimensional substrate
J. Quastel and D. Remenik · 2019
Later among the works it cites.
Large deviations for the KPZ equation from the KP equation
P. Le Doussal · 2019
Later among the works it cites.
The geometric Burge correspondence and the partition function of polymer replicas
E. Bisi, N. O’Connell and N. Zygouras, · 2020
Closest in time.
A. Krajenbrink, P. Le Doussal, Replica Bethe Ansatz solution to the Kardar-Parisi-Zhang equation on the half-line
2020
Closest in time.
Riemann surfaces for KPZ with periodic boundaries
S. Prolhac · 2020
Closest in time.