Fluctuations of the Process of Moduli for the Ginibre and Hyperbolic Ensembles
DOI:
https://doi.org/10.15407/mag19.01.074Ключові слова:
ансамбль Жiнiбра, гiперболiчний ансамбль, процес модулей, нормальний розподіл, бiлий шум, пуассонiв точковий процесАнотація
Ми дослiджуємо точковий процес модулiв ансамблю Жiнiбра та гiперболiчного ансамблю. Ми доводимо, що вдалинi вiд початку координат i вiдносно певної шкали цi процеси виявляють пуассоновi i гаусовi флуктуацiї. Серед можливих гаусових флуктуацiй ми можемо знайти бiлий шум, а також гаусовi флуктуацiї з нетривiальною коварiацiєю на деяких шкалах.
Mathematical Subject Classification 2020: 60G55, 30B20, 30H20
Посилання
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