Dyson’s Model in Infinite Dimensions Is Irreducible
نویسندگان
چکیده
Dyson’s model in infinite dimensions is a system of Brownian particles interacting via logarithmic potential with an inverse temperature $$ \beta = 2$$ . The stochastic process given as solution to infinite-dimensional differential equation. Additionally, Dirichlet form the sine _2$$ point reference measure constructs functional associated configuration-valued diffusion process. In this paper, we prove that irreducible.
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ژورنال
عنوان ژورنال: Springer proceedings in mathematics & statistics
سال: 2022
ISSN: ['2194-1009', '2194-1017']
DOI: https://doi.org/10.1007/978-981-19-4672-1_21