Quantum unique ergodicity for Eisenstein series on Bruhat-Tits buildings (Q6659414)

Following the trail of the now classic notes: [\textit{P. Sarnak}, Isr. Math. Conf. Proc. 8, 183--236 (1995; Zbl 0831.58045)], and subsequent paper [\textit{W. Luo} and \textit{P. Sarnak}, Publ. Math., Inst. Hautes Étud. Sci. 81, 207--237 (1995; Zbl 0852.11024)] the authors prove a version of the quantum unique ergodicity conjecture for Eisenstein series over function fields (see Theorems 1.1 and 3.1, the later fundamental for the proof of the first). The goal is attained using adapted techniques of the above mentioned paper by Luo and Sarnak, where spectral decomposition, cuspidal and Eisenstein contributions are properly handled.