Gibbs measure over the cone of vector-valued discrete measures

• Date: 2026
• Main Authors: Di Persio, Luca, Kondratiev, Yuri, Vardanyan , Viktorya
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8201
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9 We consider a gas each particle of which is characterized by a pair $(x,v_x),$ where $x\in \mathbb R^d$ is the position and $v_x\in \mathbb R^d_0=\mathbb R^d\setminus \{0\}$ is the velocity. Gibbs measures are defined on the cone of vector-valued measures. Our aim is to prove their existen...