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In this paper we study stationary last passage percolation (LPP) in half-space geometry.
P.J. Burke, The output of a queuing system , Operations Res. 4
1956
Earlier work this paper cites.
T.M. Liggett, Ergodic theorems for the asymmetric simple exclusion process , Trans. Amer. Math. Soc. 213
1975
Earlier work this paper cites.
D. Forster, D.R. Nelson, and M.J. Stephen, Large-distance and long-time properties of a randomly stirred fluid , Phys. Rev. A 16
1977
Earlier work this paper cites.
T.M. Liggett, Ergodic theorems for the asymmetric simple exclusion process II , Ann. Probab. 4
1977
Earlier work this paper cites.
M. Kardar, G. Parisi, and Y.Z. Zhang, Dynamic scaling of growing interfaces , Phys. Rev. Lett. 56
1986
Earlier work this paper cites.
J.R. Stembridge, Nonintersecting paths, Pfaffians, and plane partitions , Adv. Math. 83
1990
Earlier work this paper cites.
P.A. Ferrari and L. Fontes, Shock fluctuations in the asymmetric simple exclusion process , Probab. Theory Relat. Fields 99
1994
Earlier work this paper cites.
C.A. Tracy and H. Widom, Level-spacing distributions and the Airy kernel , Comm. Math. Phys. 159
1994
Earlier work this paper cites.
C.A. Tracy and H. Widom, On orthogonal and symplectic matrix ensembles , Comm. Math. Phys. 177
1996
Earlier work this paper cites.
J. Baik, P.A. Deift, and K. Johansson, On the distribution of the length of the longest increasing subsequence of random permutations , J. Amer. Math. Soc. 12
1999
Earlier work this paper cites.
T.M. Liggett, Stochastic interacting systems: contact, voter and exclusion processes , Springer Verlag, Berlin, 1999
1999
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
Earlier work this paper cites.
A. Borodin, A. Okounkov, and G. Olshanski, Asymptotics of Plancherel measures for symmetric groups , J. Amer. Math. Soc. 13
2000
Earlier work this paper cites.
K. Johansson, Shape fluctuations and random matrices , Comm. Math. Phys. 209
2000
Earlier work this paper cites.
M. Prähofer and H. Spohn, Universal distributions for growth processes in 1+1 dimensions and random matrices , Phys. Rev. Lett. 84
2000
Earlier work this paper cites.
E.M. Rains, Correlation functions for symmetrized increasing subsequences , arXiv:math.CO/0006097 (2000)
2000
Earlier work this paper cites.
J. Baik and E.M. Rains, Algebraic aspects of increasing subsequences , Duke Math. J. 109
2001
Earlier work this paper cites.
J. Baik and E.M. Rains, The asymptotics of monotone subsequences of involutions , Duke Math. J. 109
2001
Earlier work this paper cites.
J. Baik and E.M. Rains, Symmetrized random permutations , Random Matrix Models and Their Applications, vol. 40, Cambridge University Press, 2001, pp. 1–19
2001
Earlier work this paper cites.
J. Gravner, C.A. Tracy, and H. Widom, Limit theorems for height fluctuations in a class of discrete space and time growth models , J. Stat. Phys. 102
2001
Earlier work this paper cites.
M. Prähofer and H. Spohn, Current fluctuations for the totally asymmetric simple exclusion process , In and out of equilibrium (V. Sidoravicius, ed.), Progress in Probability, Birkhäuser, 2002
2002
Earlier work this paper cites.
M. Prähofer and H. Spohn, Scale invariance of the PNG droplet and the Airy process , J. Stat. Phys. 108
2002
Earlier work this paper cites.
K. Johansson, Discrete polynuclear growth and determinantal processes , Comm. Math. Phys. 242
2003
Earlier work this paper cites.
S. Grosskinsky, Phase transitions in nonequilibrium stochastic particle systems with local conservation laws , Ph.D. thesis, Technische Universität München, https://mediatum.ub.tum.de/602023, 2004
2004
Earlier work this paper cites.
T. Imamura and T. Sasamoto, Fluctuations of the one-dimensional polynuclear growth model with external sources , Nucl. Phys. B 699
2004
Earlier work this paper cites.
M. Prähofer and H. Spohn, Exact scaling function for one-dimensional stationary KPZ growth , J. Stat. Phys. 115
2004
Earlier work this paper cites.
T. Sasamoto and T. Imamura, Fluctuations of a one-dimensional polynuclear growth model in a half space , J. Stat. Phys. 115
2004
Earlier work this paper cites.
M. Darief, J. Mairesse, and N. O’Connell, Queues, stores, and tableaux , J. Appl. Probab. 4
2005
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.
M. Balázs, E. Cator, and T. Seppäläinen, Cube root fluctuations for the corner growth model associated to the exclusion process , Electron. J. Probab. 11
2006
Cited alongside, same era.
A. Borodin and E.M. Rains, Eynard-Mehta theorem, Schur process, and their Pfaffian analogs , J. Stat. Phys. 121
2006
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.
J. Quastel and H. Spohn, The one-dimensional kpz equation and its universality class , J. Stat. Phys. 160
2015
Later among the works it cites.
J. Ortmann, J. Quastel, and D. Remenik, Exact formulas for random growth with half-flat initial data , Ann. Appl. Probab. 26
2016
Later among the works it cites.
J. Quastel and D. Remenik, How flat is flat in a random interface growth? , arXiv:1606.09228 (2016)
2016
Later among the works it cites.
K.A. Takeuchi, An appetizer to modern developments on the Kardar–Parisi–Zhang universality class , Physica A 504
2016
Later among the works it cites.
2017
Later among the works it cites.
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K. Johansson, Random matrices and determinantal processes , Mathematical Statistical Physics, Session LXXXIII: Lecture Notes of the Les Houches Summer School 2005 (A. Bovier, F. Dunlop, A. van Enter, F. den Hollander, and J. Dalibard, eds.), Elsevier Science, 2006, pp. 1–56
2006
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.
P.J. Forrester and E.M. Rains, Symmetrized models of last passage percolation and non-intersecting lattice paths , J. Stat. Phys. 129
2007
Cited alongside, same era.
A. Borodin and P.L. Ferrari, Large time asymptotics of growth models on space-like paths I: PushASEP , Electron. J. Probab. 13
2008
Cited alongside, same era.
J. Baik, P.L. Ferrari, and S. Péché, Limit process of stationary TASEP near the characteristic line , Comm. Pure Appl. Math. 63
2010
Cited alongside, same era.
A. Borodin, Determinantal point processes , The Oxford Handbook of Random Matrix Theory, Chapter 11 (G. Akemann, J. Baik, and P. Di Francesco, eds.), Oxford University Press, USA, 2010
2010
Cited alongside, same era.
P.L. Ferrari, From interacting particle systems to random matrices , J. Stat. Mech. (2010), P10016
2010
Cited alongside, same era.
2017
Later among the works it cites.
P.L. Ferrari and P. Nejjar, Fluctuations of the competition interface in presence of shocks , ALEA, Lat. Am. J. Probab. Math. Stat. 14
2017
Later among the works it cites.
2017
Later among the works it cites.
T. Imamura and T. Sasamoto, Free energy distribution of the stationary O’Connell–Yor directed random polymer model , J. Phys. A: Math. Theor. 50
2017
Later among the works it cites.
A. Aggarwal, Current Fluctuations of the Stationary ASEP and Six-Vertex Model , Duke Math. J. 167
2018
Later among the works it cites.
J. Baik, G. Barraquand, I. Corwin, and T. Suidan, Facilitated exclusion process , Computation and Combinatorics in Dynamics, Stochastics and Control (E. Celledoni, G. Di Nunno, K. Ebrahimi-Fard, and H.Z. Munthe-Kaas, eds.), Springer, 2018
2018
Later among the works it cites.
J. Baik, G. Barraquand, I. Corwin, and T. Suidan, Pfaffian Schur processes and last passage percolation in a half-quadrant , Ann. Probab. 46
2018
Later among the works it cites.
G. Barraquand, A. Borodin, and I. Corwin, Half-space Macdonald processes , arXiv:1802.08210 (2018)
2018
Later among the works it cites.
G. Barraquand, A. Borodin, I. Corwin, and M. Wheeler, Stochastic six-vertex model in a half-quadrant and half-line open ASEP , Duke Math. J. 167
2018
Later among the works it cites.
D. Betea, J. Bouttier, P. Nejjar, and M. Vuletić, The free boundary Schur process and applications I , Ann. Henri Poincaré 19
2018
Later among the works it cites.
S. Chhita, P.L. Ferrari, and H. Spohn, Limit distributions for KPZ growth models with spatially homogeneous random initial conditions , Ann. Appl. Probab. 28
2018
Later among the works it cites.
P.L. Ferrari and A. Occelli, Universality of the GOE Tracy-Widom distribution for TASEP with arbitrary particle density , Eletron. J. Probab. 23
2018
Later among the works it cites.
P. Nejjar, Transition to shocks in TASEP and decoupling of last passage times , ALEA, Lat. Am. J. Probab. Math. Stat. 15
2018
Later among the works it cites.
N. Zygouras, Some algebraic structures in the KPZ universality , arXiv:1812.07204 (2018)
2018
Later among the works it cites.
2019
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P.L. Ferrari and A. Occelli, Time-time covariance for last passage percolation with generic initial profile , Math. Phys. Anal. Geom. 22
2019
Closest in time.
2019
Closest in time.
T. Imamura and T. Sasamoto, Fluctuations for stationary q q -TASEP , Probab. Theory Relat. Fields 174
2019
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2019
Closest in time.
H. van Beijeren, R. Kutner, and H. Spohn, Excess noise for driven diffusive systems , Phys. Rev. Lett. 54
2029
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I. Corwin, Z. Liu, and D. Wang, Fluctuations of TASEP and LPP with general initial data , Ann. Appl. Probab. 26
2082
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