159 citations
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math-ph2004★ 137 cited
Symmetry of matrix-valued stochastic processes and noncolliding diffusion particle systems
Makoto Katori, Hideki Tanemura
As an extension of the theory of Dyson's Brownian motion models for the standard Gaussian random-matrix ensembles, we report a systematic study of hermitian matrix-valued processes…
math-ph2002★ 2 cited
Generalization of Shannon-Khinchin Axioms to Nonextensive Systems and the Uniqueness Theorem
Hiroki Suyari
The Shannon-Khinchin axioms are generalized to nonextensive systems and the uniqueness theorem for the nonextensive entropy is proved rigorously. In the present axioms, Shannon add…