An Incidence Estimate and a Furstenberg Type Estimate for Tubes in $$\mathbb {R}^2$$ R 2
Abstract We study the $$\delta $$ δ -discretized Szemerédi–Trotter theorem and Furstenberg set problem. We prove sharp estimates for both two...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer US
2022
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| Online Access: | https://hdl.handle.net/1721.1/143627 |
| Summary: | Abstract
We study the
$$\delta $$
δ
-discretized Szemerédi–Trotter theorem and Furstenberg set problem. We prove sharp estimates for both two problems assuming tubes satisfy some spacing condition. For both problems, we construct sharp examples that share common features. |
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