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Volumn 31, Issue 3, 2003, Pages 1533-1564

Random point fields associated with certain Fredholm determinants II: Fermion shifts and their ergodic and Gibbs properties

Author keywords

Ergodic property; Fermion process; Fredholm determenant; Gibbs property; Metric entropy; Shift dynamical system; Szeg 's theorem

Indexed keywords


EID: 0038373022     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1055425789     Document Type: Article
Times cited : (106)

References (27)
  • 1
    • 0034390399 scopus 로고    scopus 로고
    • Asymptotics of Plancherel measures for symmetric groups
    • BORODIN, A., OKOUNKOV, A. and OLSHANSKI, G. (2000). Asymptotics of Plancherel measures for symmetric groups. J. Amer. Math. Soc. 13 481-515.
    • (2000) J. Amer. Math. Soc. , vol.13 , pp. 481-515
    • Borodin, A.1    Okounkov, A.2    Olshanski, G.3
  • 4
    • 0002542182 scopus 로고
    • Gaussian fluctuation in random matrices
    • COSTIN, O. and LEBOWITZ, J. (1995). Gaussian fluctuation in random matrices. Phys. Rev. Lett. 75 69-72.
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 69-72
    • Costin, O.1    Lebowitz, J.2
  • 10
    • 84972535639 scopus 로고
    • Markov subshifts and realization of β-expansions
    • ITO, S. and TAKAHASHI, Y. (1974). Markov subshifts and realization of β-expansions. J. Math. Soc. Japan 26 33-55.
    • (1974) J. Math. Soc. Japan , vol.26 , pp. 33-55
    • Ito, S.1    Takahashi, Y.2
  • 11
    • 84972538834 scopus 로고
    • Toeplitz matrices, translation kernel and a related problem in probability theory
    • KAC, M. (1954). Toeplitz matrices, translation kernel and a related problem in probability theory. Duke Math. J. 21 501-509.
    • (1954) Duke Math. J. , vol.21 , pp. 501-509
    • Kac, M.1
  • 14
    • 0016486888 scopus 로고
    • The coincidence approach to stochastic point processes
    • MACCHI, O. (1975). The coincidence approach to stochastic point processes. Adv. in Appl. Probab. 7 83-122.
    • (1975) Adv. in Appl. Probab. , vol.7 , pp. 83-122
    • Macchi, O.1
  • 16
    • 0037933476 scopus 로고
    • Some problems related to Gibbs states, canonical Gibbs states and Markovian time evolutions
    • SHIGA, T. (1977). Some problems related to Gibbs states, canonical Gibbs states and Markovian time evolutions. Z. Wahrsch. Verw. Gebiete 39 339-352.
    • (1977) Z. Wahrsch. Verw. Gebiete , vol.39 , pp. 339-352
    • Shiga, T.1
  • 17
    • 0037933490 scopus 로고    scopus 로고
    • Fermion process and Fredholm determinant
    • H. G. W. Begehr, R. P. Gilbert and J. Kajiwara, eds. Kluwer, Dordrecht
    • SHIRAI, T. and TAKAHASHI, Y. (2000). Fermion process and Fredholm determinant. In Proceedings of the Second ISAAC Congress (H. G. W. Begehr, R. P. Gilbert and J. Kajiwara, eds.) 1 15-23. Kluwer, Dordrecht.
    • (2000) Proceedings of the Second ISAAC Congress , vol.1 , pp. 15-23
    • Shirai, T.1    Takahashi, Y.2
  • 19
    • 0037221083 scopus 로고    scopus 로고
    • Glauber dynamics for fermion point processes
    • SHIRAI, T. and YOO, H. J. (2002). Glauber dynamics for fermion point processes. Nagoya Math. J. 168 139-166.
    • (2002) Nagoya Math. J. , vol.168 , pp. 139-166
    • Shirai, T.1    Yoo, H.J.2
  • 21
    • 0034338426 scopus 로고    scopus 로고
    • Gaussian fluctuation for the number of particles in Airy, Bessel, sine and other determinantal random point fields
    • SOSHNIKOV, A. (2000). Gaussian fluctuation for the number of particles in Airy, Bessel, sine and other determinantal random point fields. J. Statist. Phys. 100 491-522.
    • (2000) J. Statist. Phys. , vol.100 , pp. 491-522
    • Soshnikov, A.1
  • 22
    • 0034556390 scopus 로고    scopus 로고
    • Determinantal random point fields
    • SOSHNIKOV, A. (2000). Determinantal random point fields. Russian Math. Surveys 55 923-975.
    • (2000) Russian Math. Surveys , vol.55 , pp. 923-975
    • Soshnikov, A.1
  • 23
    • 0035995573 scopus 로고    scopus 로고
    • Gaussian limit for determinantal random point fields
    • SOSHNIKOV, A. (2002). Gaussian limit for determinantal random point fields. Ann. Probab. 30 171-187.
    • (2002) Ann. Probab. , vol.30 , pp. 171-187
    • Soshnikov, A.1
  • 24
    • 0001362231 scopus 로고
    • Interacting Brownian particles: A study of Dyson's model
    • G. Papanicalaou, ed. Springer, New York
    • SPOHN, H. (1987). Interacting Brownian Particles: A Study of Dyson's Model. In Hydrodynamic Behavior and Interacting Particle Systems (G. Papanicalaou, ed.) 151-179. Springer, New York.
    • (1987) Hydrodynamic Behavior and Interacting Particle Systems , pp. 151-179
    • Spohn, H.1
  • 25
    • 34250944353 scopus 로고
    • Beiträge zur theorie der Toeplitzchen Formen (erste mittelung)
    • SZEGÖ, G. (1920). Beiträge zur Theorie der Toeplitzchen Formen (Erste Mittelung). Math., Z. 6 167-202.
    • (1920) Math., Z. , vol.6 , pp. 167-202
    • Szegö, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.