The KPZ Equation and Moments of Random Matrices

Автор(и)

  • Vadim Gorin Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA,02139-4307, USA
    Institute for Information Transmission Problems of Russian Academy of Sciences, Bolshoy Karetny per. 19, build. 1, Moscow 127051, Russia
  • Sasha Sodin School of Mathematical Sciences, Queen Mary University of London, London E1 4NS, United Kingdom
    School of Mathematical Sciences, Tel Aviv University, Tel Aviv, 69978, Israel

DOI:

https://doi.org/10.15407/mag14.03.286

Ключові слова:

рiвняння КПЖ, розв'язок Коле-Гопфа, процес Ейрi, випадкова матриця

Анотація

Логарифм дiагонального матричного елемента високого ступеня випадкової матрицi збiгається до розв'язку Коле-Гопфа рiвняння Кардара-Парiсi-Жанга в сенсi одноточкових розташувань.

Mathematics Subject Classification: 60B20, 60H15.

Посилання

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Gorin, V.; Sodin, S. The KPZ Equation and Moments of Random Matrices. Журн. мат. фіз. анал. геом. 2019, 14, 286-296.

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