Kyoto University · Research Institute for Mathematical Sciences · Associate Professor

Research keywordsfractal analysis・Sierpinski gasket・Liouville heat kernel・spectral dimensions・symmetric diffusions・measurable Riemannian structure・Brownian motion・Weyl asymptotics

Research fieldsBasic analysis

This is a public-data preview. Personalized fit, contact angles, and saved workflows require sign-in.

• The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues: A survey of the analytic aspects2019 · Stochastic Analysis, Random Fields and Integrable Probability — Fukuoka 2019, Advanced Studies in Pure Mathematics,
• Heat Kernel Asymptotics for the Measurable Riemannian Structure on the Sierpinski GasketPOTENTIAL ANALYSIS,
• An elementary proof that walk dimension is greater than two for Brownian motion on Sierpiński carpetsBulletin of the London Mathematical Society,
• Analysis and geometry of the measurable Riemannian structure on the Sierpiński gasket

• 特異的幾何学構造に由来する微分作用素とその確率論的対応物に対する数学解析
• フラクタルおよびその上の確率過程における解析学・幾何学とその相互関係の研究
• 複雑な空間での解析と幾何の結びつきの解明
• 空間の構造と解析の関わりーフラクタルを出発点としてー

• Official profile