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            (Seminar) Ensemble averages, Poisson processes and Microstates
            2020-12-02  【 】【打印】【關閉

            CAS Key Laboratory of Theoretical Physics

            Institute of Theoretical Physics

            Chinese Academy of Sciences

             Seminar

            Title

            題目

            Ensemble averages, Poisson processes and Microstates

            Speaker

            報告人

            彭程

            Affiliation

            所在單位

            KITS-UCAS

            Date

            日期

            2:00pm, Dec 02, 2020, Wednesday

            Venue

            地點

            ITP South Building 6620

            Contact Person

            所內聯系人

            Gang Yang

            Abstract

            摘要

            Recently ensemble averages of field theories attract a lot of attention and become promising candidates of the holographic dual description of classical gravity. The random variables considered in the ensemble averages by now are mostly Gaussian-type continuous variables. However, given the discrete nature of quantum theories, averaging over discrete random variables should have clearer connections to the microscopic origin of gravity. In this talk, I will discuss ensemble averaged theories with discrete random variables. l'll propose suitable procedures to do the ensemble average, and I'll also provide a mathematically rigorous description in terms of Poisson processes. Moreover, I'll demonstrate that averaged theories of this type have an equivalent description of tracing over parts of the microscopic degrees of freedom in a suitable continuous limit of a single microscopic theory. The results from both approaches mirror Liouville gravity, of which I'll try to further address some implications on the ensemble average and the microscopic theory.
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