Can smooth graphons in several dimensions be represented by smooth graphons on [0,1]?
A graphon that is defined on [0,1]dand is Hölder(α)continuous for some d⩾2and α∈(0,1]can be represented by a graphon on [0,1]that is Hölder(α/d)continuous. We give examples that show that this reduction in smoothness to α/dis the best possible, for any d and α; for α=1, the example is a dot product...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2021-11-01
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| Series: | Examples and Counterexamples |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666657X21000070 |