2009/01/08 by Fumio Hiai, Hiai, Fumio, Takuho Miyamoto +1
Mathematics · #62B10 #94A17 #FOS: Mathematics #Probability (math.PR) #Random Matrices and Applications #Statistics Theory (math.ST) #Stochastic processes and statistical mechanics #advanced mathematical theories #math.PR #math.ST #msc:62B10 #msc:94A17 #stat.TH
paper · pdf · doi:10.48550/arxiv.0901.1072
21 pages
arxiv created 2009/01/08 · openalex publication_date 2009/01/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A new concept of mutual pressure is introduced for potential functions on both continuous and discrete compound spaces via discrete micro-states of permutations, and its relations with the usual pressure and the mutual information are established. This paper is a continuation of the paper of Hiai and Petz in Banach Center Publications, Vol. 78.