Logarithmic divergence of heat kernels on some quantum spaces

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概要

• 論文の詳細を見る

• Asymptotic behaviour of the heat kernels on some explicitly known quantum spaces are studied. Then the heat kernels are shown to be logarithmically divergent. These results suggest to us that the "dimensions" of these quantum spaces would not be zero but less than one so that these quantum spaces look almost like "discrete spaces".

• 東北大学の論文

著者

• Masuda Tetsuya

  Institut Des Hautes Etudes Scientifiques

• Masuda Tetsuya

  Institute Of Mathematics University Of Tsukuba

• Kakehi Tomoyuki

  Institute of Mathematics, Tsukuba University

• Kakehi Tomoyuki

  Institute Of Mathematics Tsukuba University

• Kakehi Tomoyuki

  Institute Of Mathematics University Of Tsukuba

関連論文

• The ranges of Radon transform(Combinatorial Aspects in Representation Theory and Geometry)
• Cyclic Cohomology of $A[X]$ and $A[X,X\sp {-1}]$
• A von Neumann Algebra Framework for the Duality of the Quantum Groups : Dedicated to Professor Masamichi Takesaki on his 60th birthday
• Logarithmic divergence of heat kernels on some quantum spaces

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