About HIRAYAMA MICHIHIRO
About Division of Mathematics, University of Tsukuba, Tennodai, Ibaraki 305-8571, Japan email hirayama@math.tsukuba.ac.jp
About SUMI NAOYA
About Department of Mathematics, Kumamoto University, Kurokami, Kumamoto 860-8555, Japan email sumi@sci.kumamoto-u.ac.jp
About Ergodic Theory and Dynamical Systems
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About differential
About hyperbola
About topology
About intersection
About manifold (tube)
About probability measure
About measure
About ergodic property
About isomorphic mapping
About manifold (mathematics)
About low dimension
About Fluctuation phenomena,random process,Brownian motion,and transport process
About Mathematical physics
About 測度
About エルゴード性
About 低次元