[BOOK][B] Geometry and analysis of metric spaces via weighted partitions
J Kigami - 2020 - Springer
Geometry and Analysis of Metric Spaces via Weighted Partitions Page 1 Lecture Notes in
Mathematics 2265 Jun Kigami Geometry and Analysis of Metric Spaces via Weighted …
Mathematics 2265 Jun Kigami Geometry and Analysis of Metric Spaces via Weighted …
Contraction properties and differentiability of -energy forms with applications to nonlinear potential theory on self-similar sets
N Ka**o, R Shimizu - arxiv preprint arxiv:2404.13668, 2024 - arxiv.org
We introduce new contraction properties called the generalized $ p $-contraction property
for $ p $-energy forms as generalizations of many well-known inequalities, such as …
for $ p $-energy forms as generalizations of many well-known inequalities, such as …
Construction of 𝑝-energy and associated energy measures on Sierpiński carpets
R Shimizu - Transactions of the American Mathematical Society, 2024 - ams.org
We establish the existence of a scaling limit $\mathcal {E} _p $ of discrete $ p $-energies on
the graphs approximating a generalized Sierpiński carpet for $ p> d_ {\mathrm {ARC}} …
the graphs approximating a generalized Sierpiński carpet for $ p> d_ {\mathrm {ARC}} …
Hardy inequalities on graphs
F Fischer - 2024 - publishup.uni-potsdam.de
The dissertation deals with a central inequality of non-linear potential theory, the Hardy
inequality. It states that the non-linear energy functional can be estimated from below by a …
inequality. It states that the non-linear energy functional can be estimated from below by a …
Introduction and a Showcase
J Kigami - Geometry and Analysis of Metric Spaces via Weighted …, 2020 - Springer
Successive divisions of a space have played important roles in many areas of mathematics.
One of the simplest examples is the binary division of the unit interval 0, 1 shown in Fig. 1.1 …
One of the simplest examples is the binary division of the unit interval 0, 1 shown in Fig. 1.1 …