| Construction of 𝑝-energy and associated energy measures on Sierpiński carpets R Shimizu Transactions of the American Mathematical Society 377 (02), 951-1032, 2024 | 24* | 2024 |
| First-order Sobolev spaces, self-similar energies and energy measures on the Sierpi\'{n} ski carpet M Murugan, R Shimizu arXiv preprint arXiv:2308.06232, 2023 | 12 | 2023 |
| Contraction properties and differentiability of -energy forms with applications to nonlinear potential theory on self-similar sets N Kajino, R Shimizu arXiv preprint arXiv:2404.13668, 2024 | 6 | 2024 |
| Parabolic index of an infinite graph and Ahlfors regular conformal dimension of a self-similar set R Shimizu Analysis and Partial Differential Equations on Manifolds, Fractals and …, 2021 | 5 | 2021 |
| Korevaar-Schoen -energy forms and associated -energy measures on fractals N Kajino, R Shimizu arXiv preprint arXiv:2404.13435, 2024 | 3 | 2024 |
| -Energy forms on fractals: recent progress N Kajino, R Shimizu arXiv preprint, arXiv: 2501.09002, 2025 | | 2025 |
| Characterizations of Sobolev functions via Besov-type energy functionals in fractals R Shimizu arXiv preprint arXiv:2410.15317, 2024 | | 2024 |
| Finite dimensionality of Besov spaces and potential-theoretic decomposition of metric spaces T Kumagai, N Shanmugalingam, R Shimizu arXiv preprint arXiv:2409.01292, 2024 | | 2024 |
Nageswari ShanmugalingamProfessor of Mathematics, University of CincinnatiVerified email at uc.edu
Nageswari ShanmugalingamProfessor of Mathematics, University of CincinnatiVerified email at uc.edu