The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues: A survey of the analytic aspects. 2021. 87. 293-314
Naotaka Kajino, Mathav Murugan. On singularity of energy measures for symmetric diffusions with full off-diagonal heat kernel estimates. The Annals of Probability. 2020. 48. 6. 2920-2951
梶野 直孝. Equivalence of recurrence and Liouville property for symmetric Dirichlet forms. Mathematical Physics and Computer Simulation. 2017. 20. 3. 89-98
Alexander Grigor'yan, Naotaka Kajino. LOCALIZED UPPER BOUNDS OF HEAT KERNELS FOR DIFFUSIONS VIA A MULTIPLE DYNKIN-HUNT FORMULA. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. 2017. 369. 2. 1025-1060
Sebastian Andres, Naotaka Kajino. Continuity and estimates of the Liouville heat kernel with applications to spectral dimensions. PROBABILITY THEORY AND RELATED FIELDS. 2016. 166. 3-4. 713-752
梶野 直孝. Continuity and estimates of the transition density of the Liouville Brownian motion (Symposium on Probability Theory). 数理解析研究所講究録. 2015. 1952. 38-45
Quasisymmetric Gaussian uniformization is impossible for Brownian motion on the Sierpiński carpet
(International Workshop on Dirichlet Forms and Related Topics in Honor of Professor Masatoshi Fukushima's Beiju 2022)
On singularity of energy measures for symmetric diffusions with full off-diagonal heat kernel estimates
(7th Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals 2022)
On the conformal walk dimension II: Non-attainment for some Sierpiński carpets
(2021年度確率論シンポジウム 2021)
Conformal walk dimension: its universal value and the non-attainment for the Sierpinski carpet
(Pacific Workshop on Probability and Statistical Physics 2021)
