The Bottom of the Spectrum of Time-Changed Processes and the Maximum Principle of Schrödinger Operators

被引:0
|
作者
Masayoshi Takeda
机构
[1] Tohoku University,Mathematical Institute
来源
关键词
Dirichlet form; Schrödinger form; Symmetric Hunt process; Maximum principle; Liouville property; 31C25; 31C05; 60J25;
D O I
暂无
中图分类号
学科分类号
摘要
We give a necessary and sufficient condition for the maximum principle of Schrödinger operators in terms of the bottom of the spectrum of time-changed processes. As a corollary, we obtain a sufficient condition for the Liouville property of Schrödinger operators.
引用
收藏
页码:741 / 756
页数:15
相关论文
共 50 条
  • [1] The Bottom of the Spectrum of Time-Changed Processes and the Maximum Principle of Schrodinger Operators
    Takeda, Masayoshi
    [J]. JOURNAL OF THEORETICAL PROBABILITY, 2018, 31 (02) : 741 - 756
  • [2] New Estimates for the Bottom of the Spectrum of Schrödinger Operators
    Daniel Levin
    [J]. Annals of Global Analysis and Geometry, 2006, 29 : 313 - 322
  • [3] A TIME-CHANGED STOCHASTIC CONTROL PROBLEM AND ITS MAXIMUM PRINCIPLE
    Nane, Erkan
    Ni, Yinan
    [J]. PROBABILITY AND MATHEMATICAL STATISTICS-POLAND, 2021, 41 (02): : 193 - 215
  • [4] STOCHASTIC MAXIMUM PRINCIPLE FOR A TIME-CHANGED MEAN FIELD GAME
    Jin, S. I. X. I. A. N.
    Song, Q. I. N. G. S. H. U. O.
    [J]. MATHEMATICAL CONTROL AND RELATED FIELDS, 2024, 14 (01) : 191 - 198
  • [5] Time-changed Poisson processes
    Kumar, A.
    Nane, Erkan
    Vellaisamy, P.
    [J]. STATISTICS & PROBABILITY LETTERS, 2011, 81 (12) : 1899 - 1910
  • [6] Maximum Principle for the Regularized Schrödinger Operator
    R. S. Kraußhar
    M. M. Rodrigues
    N. Vieira
    [J]. Results in Mathematics, 2016, 69 : 49 - 68
  • [7] Random time-changed extremal processes
    Pancheva, E. I.
    Kolkovska, E. T.
    Jordanova, P. K.
    [J]. THEORY OF PROBABILITY AND ITS APPLICATIONS, 2007, 51 (04) : 645 - 662
  • [8] INFINITESIMAL GENERATORS OF TIME-CHANGED PROCESSES
    GZYL, H
    [J]. ADVANCES IN APPLIED PROBABILITY, 1980, 12 (02) : 269 - 270
  • [9] On the Essential Spectrum of Schrödinger Operators on Trees
    Jonathan Breuer
    Sergey Denisov
    Latif Eliaz
    [J]. Mathematical Physics, Analysis and Geometry, 2018, 21
  • [10] LEVY SYSTEMS FOR TIME-CHANGED PROCESSES
    GZYL, H
    [J]. ANNALS OF PROBABILITY, 1977, 5 (04): : 565 - 570