Shape fluctuation of crystal facets and surface growth in one dimension
2012
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Free energy fluctuations for directed polymers in random media in 1+1 dimension, with Alexei Borodin and Ivan Corwin,
preprint arXiv:1204.1024 (2012)
2011
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Non-colliding Brownian bridges and the asymmetric tacnode process, with Bálint Vető,
preprint arXiv:1112.5002 (2011)
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Finite time corrections in KPZ growth models, with René Frings;
J. Stat. Phys.144 (2011), 1123-1150
2010
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Non-intersecting random walks in the neighborhood of a symmetric tacnode, with Mark Adler and Pierre Van Moerbeke, to appear in
Ann. Probab.
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On the partial connection between random matrices and interacting particle systems, with René Frings;
J. Stat. Phys.141 (2010), 613-637
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Limit processes for TASEP with shocks and rarefaction fans, with Ivan Corwin and Sandrine Péché,
J. Stat. Phys.140 (2010), 232-267
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Universality of slow decorrelation in KPZ growth, with Ivan Corwin and Sandrine Péché,
Ann. Inst. H. Poincaré B48 (2012), 134-150
2009
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Limit process of stationary TASEP near the characteristic line, with Jinho Baik and Sandrine Péché, Comm. Pure Appl. Math63 (2010), 1017-1070
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Maximum of Dyson Brownian motion and non-colliding systems with a boundary, with Alexei Borodin, Michael Prähofer, Tomohiro Sasamoto and Jon Warren,
Electron. Comm. Probab.14 (2009), 486-494
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Two speed TASEP, with Alexei Borodin and Tomohiro Sasamoto,
J. Stat. Phys.137 (2009), 936-977
2008
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Airy processes with wanderers and new universality classes, with Mark Adler and Pierre Van Moerbeke,
Ann. Probab.38 (2010), 714-769
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Anisotropic growth of random surfaces in 2+1 dimensions: fluctuations and covariance structure, with Alexei Borodin, J. Stat. Mech. (2009), P02009
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The Airy1 process is not the limit of the largest eigenvalue in GOE matrix diffusion, with Folkmar Bornemann and Michael Prähofer,
J. Stat. Phys.133 (2008), 405-415
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Slow decorrelations in KPZ growth, J. Stat. Mech. (2008), P07022
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Anisotropic growth of random surfaces in 2+1 dimensions, with Alexei Borodin,
preprint arXiv:0804.3035 (2008)
2007
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Large time asymptotics of growth models on space-like paths II: PNG and parallel TASEP, with Alexei Borodin and Tomohiro Sasamoto,
Comm. Math. Phys.283 (2008), 417-449
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Large time asymptotics of growth models on space-like paths I: PushASEP, with Alexei Borodin, Electron. J. Probab.13 (2008), 1380-1418
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Transition between Airy1 and Airy2 processes and TASEP fluctuations, with Alexei Borodin and Tomohiro Sasamoto,
Comm. Pure Appl. Math.61 (2008), 1603-1629
2006
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Fluctuations in the discrete TASEP with periodic initial configurations and the Airy1 process, with Alexei Borodin and Michael Prähofer,
Int. Math. Res. Papers2007, rpm002 (2007)
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Fluctuation properties of the TASEP with periodic initial configuration, with Alexei Borodin, Michael Prähofer and Tomohiro Sasamoto,
J. Stat. Phys.129 (2007), 1055-1080
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Domino tilings and the six-vertex model at its free fermion point, with Herbert Spohn,
J. Phys. A: Math. Gen.39 (2006), 10297-10306
2005
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Scaling Limit for the Space-Time Covariance of the Stationary Totally Asymmetric Simple Exclusion Process, with Herbert Spohn, Comm. Math. Phys.265 (2006), 1-44
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A determinantal formula for the GOE Tracy-Widom distribution, with Herbert Spohn,
J. Phys. A, Math. Gen.38 (2005), L557-L561
2004
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Polynuclear growth on a flat substrate and edge scaling of GOE eigenvalues,
Comm. Math. Phys.252 (2004), 77-109
2003
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Constrained Brownian motion: fluctuations away from circular and parabolic barriers, with Herbert Spohn,
Ann. Probab.33 (2005), 1302-1325
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Fluctuations of an Atomic Ledge Bordering a Crystalline Facet, with Michael Prähofer and Herbert Spohn,
Phys. Rev. E, Rapid Communications 69 (2004), 035102(R)
2002
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Step fluctuations for a faceted crystal, with Herbert Spohn,
J. Stat. Phys.113 (2003), 1-46
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Information Loss in Coarse Graining of Polymer Configurations via Contact Matrices, with Joel L. Lebowitz,
J. Phys. A: Math. Gen.36 (2003), 5719-5730; Appendix with the complete mathematical proof of Proposition 4.2 [ps]
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Last Branching in Directed Last Passage Percolation, with Herbert Spohn,
Markov Process and Related Fields 9 (2003), 323-339
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From interacting particle systems to random matrices, Contribution to StatPhys24 special issue,
J. Stat. Mech. (2010), P10016
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Random Growth Models, with Herbert Spohn,
arXiv:1003.0881 (2010)
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Dimers and orthogonal polynomials: connections with random matrices, Extended lecture notes of the minicourse at IHP (5-7 Oct. 2009),
arXiv:1004.3212 (2010)
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The universal Airy1 and Airy2 processes in the Totally Asymmetric Simple Exclusion Process, In Proceeding ''Integrable Systems and Random Matrices: In Honor of Percy Deift'',
Contemporary Mathematics 458 (2008), 321-332
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One-dimensional stochastic growth and Gaussian ensembles of random matrices, with Michael Prähofer; In proceedings of ''Inhomogeneous Random Systems 2005'', Markov Processes Relat. Fields 12 (2006), 203-234
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Interacting particle systems and random matrices, in
Oberwolfach Report50 (2010), 35-39
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Around the universality of the Airy1 process, in
Oberwolfach Report42 (2007), 42-44
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The Airy1 and Airy2 processes in the TASEP, in
Oberwolfach Report41 (2006), 27-30
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Stochastic growth in one dimension and Gaussian multi-matrix models, with Michael Prähofer and Herbert Spohn; In proceedings of the ''14th International Congress on Mathematical Physics'' (ICMP 2003), World Scientific (J.-C. Zambrini ed.) (2006), 404-411
