Large deviation principle for complex solution to squared

被引:0
作者
Chowdhury, Arnab [1 ]
Shekhar, Atul [1 ]
机构
[1] Tata Inst Fundamental Res CAM, Bangalore 560065, India
关键词
large deviation principle; Bessel processes; Schramm-Loewner-evolutions; WENTZELL LARGE DEVIATIONS; EVOLUTION;
D O I
10.1214/24-ECP632
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
Complex solutions to squared Bessel SDEs appear naturally in relation to Schramm- Loewner evolutions. We prove the large deviation principle for such solutions as the dimension parameter tends to -infinity .
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页数:14
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共 29 条
  • [1] Azencott R., Lecture Notes in Math, V774, P1
  • [2] General Freidlin-Wentzell Large Deviations and positive diffusions
    Baldi, P.
    Caramellino, L.
    [J]. STATISTICS & PROBABILITY LETTERS, 2011, 81 (08) : 1218 - 1229
  • [3] LARGE DEVIATIONS AND STOCHASTIC FLOWS OF DIFFEOMORPHISMS
    BAXENDALE, PH
    STROOCK, DW
    [J]. PROBABILITY THEORY AND RELATED FIELDS, 1988, 80 (02) : 169 - 215
  • [4] Ben Arous G., Lecture Notes in Math., V1583, P293
  • [5] BenArous G, 1996, J FUNCT ANAL, V140, P23
  • [6] Bertini L., 2023, Ensaios Matematicos, V38
  • [7] Law of the SLE tip
    Butkovsky, Oleg
    Margarint, Vlad
    Yuan, Yizheng
    [J]. ELECTRONIC JOURNAL OF PROBABILITY, 2023, 28
  • [8] DEMBO DZ10A., 2010, Stochastic Modelling and Applied Probability, V38, DOI [10.1007/978-1-4612-5320-4, DOI 10.1007/978-1-4612-5320-4]
  • [9] Deuschel Jean-Dominique, 1989, LARGE DEVIATIONS, V137
  • [10] Large deviations for squares of Bessel and Ornstein-Uhlenbeck processes
    Donati-Martin, C
    Rouault, A
    Yor, M
    Zani, M
    [J]. PROBABILITY THEORY AND RELATED FIELDS, 2004, 129 (02) : 261 - 289