Characterizing measures according to their Radon–Nikodym cocycles: canonical marked Gibbs measures under the action of the diffeomorphism group

• Дата: 2026
• Автори: Kuna, Tobias, Goldin, Gerald A., Kondratiev, Yuri G., Silva, José L.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2026
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/8675
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.98 Suppose that we have a canonical Gibbs measure $\mu$ defined on a marked configuration space $\Omega$ that describes a system of infinitely many indistinguishable particles with internal degrees of freedom together with a diffeomorphism group action on $\Omega.$ Then $\mu$ is quasiinvaria...