메뉴 건너뛰기




Volumn 13, Issue , 2008, Pages 1380-1418

Large time asymptotics of growth models on space-like paths I: PushASEP

Author keywords

Airy processes; Determinantal processes; Kpz; Stochastic growth

Indexed keywords


EID: 50249139589     PISSN: None     EISSN: 10836489     Source Type: Journal    
DOI: 10.1214/EJP.v13-541     Document Type: Article
Times cited : (166)

References (22)
  • 2
    • 0033212059 scopus 로고    scopus 로고
    • A two-parametric family of asymmetric exclusion processes and its exact solution
    • M. Alimohammadi, V. Karimipour, and M. Khorrami, A two-parametric family of asymmetric exclusion processes and its exact solution, J. Stat. Phys. 97 (1999), 373-394.
    • (1999) J. Stat. Phys , vol.97 , pp. 373-394
    • Alimohammadi, M.1    Karimipour, V.2    Khorrami, M.3
  • 3
    • 36448953578 scopus 로고    scopus 로고
    • Fluctuations in the discrete TASEP with periodic initial configurations and theAiry1 process
    • Papers, rpm002
    • A. Borodin, PL. Ferrari, and M. Prähofer, Fluctuations in the discrete TASEP with periodic initial configurations and theAiry1 process, Int. Math. Res. Papers 2007 (2007), rpm002.
    • (2007) Int. Math. Res , vol.2007
    • Borodin, A.1    Ferrari, P.L.2    Prähofer, M.3
  • 4
    • 36448967090 scopus 로고    scopus 로고
    • Fluctuation properties of the TASEP with periodic initial configuration
    • A. Borodin, PL. Ferrari, M. Prähofer, and T. Sasamoto, Fluctuation properties of the TASEP with periodic initial configuration, J. Stat. Phys. 129 (2007), 1055-1080.
    • (2007) J. Stat. Phys , vol.129 , pp. 1055-1080
    • Borodin, A.1    Ferrari, P.L.2    Prähofer, M.3    Sasamoto, T.4
  • 5
    • 49649117587 scopus 로고    scopus 로고
    • Transition between Airy1 and Airy2 processes and TASEP fluctuations
    • online first
    • A. Borodin, PL. Ferrari, and T. Sasamoto, Transition between Airy1 and Airy2 processes and TASEP fluctuations, Comm. Pure Appl. Math., online first (2007).
    • (2007) Comm. Pure Appl. Math.
    • Borodin, A.1    Ferrari, P.L.2    Sasamoto, T.3
  • 6
    • 49649121979 scopus 로고    scopus 로고
    • Large time asymptotics of growth models on space-like paths II: PNG and parallel TASEP
    • A. Borodin, PL. Ferrari, and T. Sasamoto, Large time asymptotics of growth models on space-like paths II: PNG and parallel TASEP, Comm. Math. Phys. 283 (2008), 417-449.
    • (2008) Comm. Math. Phys , vol.283 , pp. 417-449
    • Borodin, A.1    Ferrari, P.L.2    Sasamoto, T.3
  • 8
    • 28644439421 scopus 로고    scopus 로고
    • Eynard-Mehta theorem, Schur process, and their Pfaffian analogs
    • A. Borodin and E.M. Rains, Eynard-Mehta theorem, Schur process, and their Pfaffian analogs, J. Stat. Phys. 121 (2006), 291-317.
    • (2006) J. Stat. Phys , vol.121 , pp. 291-317
    • Borodin, A.1    Rains, E.M.2
  • 11
    • 51349114560 scopus 로고    scopus 로고
    • The universal Air^1 and Airy2 processes in the Totally Asymmetric Simple Exclusion Process
    • Jinho Baik, Thomas Kriecherbauer, Luen-Chau Li, Kenneth D. T-R McLaughlin, and Carlos Tomei, eds.), Contemporary Math., Amer. Math. Soc
    • PL. Ferrari, The universal Air^1 and Airy2 processes in the Totally Asymmetric Simple Exclusion Process, Integrable Systems and Random Matrices: In Honor of Percy Deift (Jinho Baik, Thomas Kriecherbauer, Luen-Chau Li, Kenneth D. T-R McLaughlin, and Carlos Tomei, eds.), Contemporary Math., Amer. Math. Soc., 2008, pp. 321-332.
    • (2008) Integrable Systems and Random Matrices: In Honor of Percy Deift , pp. 321-332
    • Ferrari, P.L.1
  • 13
    • 36148975325 scopus 로고    scopus 로고
    • Dynamical properties of a tagged particle in the totally asymmetric simple exclusion process with the step-type initial condition
    • T. Imamura and T. Sasamoto, Dynamical properties of a tagged particle in the totally asymmetric simple exclusion process with the step-type initial condition, J. Stat. Phys. 128 (2007), 799-846.
    • (2007) J. Stat. Phys , vol.128 , pp. 799-846
    • Imamura, T.1    Sasamoto, T.2
  • 14
    • 0242592942 scopus 로고    scopus 로고
    • Discrete polynuclear growth and determinantal processes
    • K. Johansson, Discrete polynuclear growth and determinantal processes, Comm. Math. Phys. 242 (2003), 277-329.
    • (2003) Comm. Math. Phys , vol.242 , pp. 277-329
    • Johansson, K.1
  • 15
    • 14944380861 scopus 로고    scopus 로고
    • The arctic circle boundary and the Airy process
    • K. Johansson, The arctic circle boundary and the Airy process, Ann. Probab. 33 (2005), 1-30.
    • (2005) Ann. Probab , vol.33 , pp. 1-30
    • Johansson, K.1
  • 16
    • 34547694343 scopus 로고    scopus 로고
    • Random matrices and determinantal processes
    • Mathematical Statistical Physics, Session LXXXIII:, 2005 (A. Bovier, F. Dunlop, A. van Enter, F. den Hollander, and J. Dalibard, eds.), Elsevier Science
    • 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) Lecture Notes of the Les Houches Summer School , pp. 1-56
    • Johansson, K.1
  • 17
  • 18
    • 0141450340 scopus 로고    scopus 로고
    • Scale invariance of the PNG droplet and the Airy process
    • M. Prähofer and H. Spohn, Scale invariance of the PNG droplet and the Airy process, J. Stat. Phys. 108 (2002), 1071-1106.
    • (2002) J. Stat. Phys , vol.108 , pp. 1071-1106
    • Prähofer, M.1    Spohn, H.2
  • 19
    • 36148996233 scopus 로고    scopus 로고
    • Bethe Ansatz and current distribution for the TASEP with particle-dependent hopping rates, Markov Process
    • A. Rakos and G. Schütz, Bethe Ansatz and current distribution for the TASEP with particle-dependent hopping rates, Markov Process. Related Fields 12 (2006), 323-334.
    • (2006) Related Fields , vol.12 , pp. 323-334
    • Rakos, A.1    Schütz, G.2
  • 20
    • 0040238394 scopus 로고    scopus 로고
    • Exact solution of the master equation for the asymmetric exclusion process
    • G.M. Schütz, Exact solution of the master equation for the asymmetric exclusion process, J. Stat. Phys. 88 (1997), 427-445.
    • (1997) J. Stat. Phys , vol.88 , pp. 427-445
    • Schütz, G.M.1
  • 21
    • 85070022294 scopus 로고    scopus 로고
    • Determinantal random fields
    • J.-P Francoise, G. Naber, and T. S. Tsun, eds.), Elsevier, Oxford
    • A.B. Soshnikov, Determinantal random fields, Encyclopedia of Mathematical Physics (J.-P Francoise, G. Naber, and T. S. Tsun, eds.), Elsevier, Oxford, 2006, pp. 47-53.
    • (2006) Encyclopedia of Mathematical Physics , pp. 47-53
    • Soshnikov, A.B.1
  • 22
    • 33745660065 scopus 로고    scopus 로고
    • Exact solutions for KPZ-type growth processes, random matrices, and equilibrium shapes of crystals
    • H. Spohn, Exact solutions for KPZ-type growth processes, random matrices, and equilibrium shapes of crystals, Physica A 369 (2006), 71-99.
    • (2006) Physica A , vol.369 , pp. 71-99
    • Spohn, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.