Falconer estimate for circular and cinematic Furstenberg problem

We prove the Falconer-type bound $\dim_{\mathrm H}F\geq u+1$ for planar circular $(u,v)$-Furstenberg sets whenever $0

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-10-26
DOI
https://doi.org/10.48550/arxiv.2610.35213
Primary Topic
Advanced Harmonic Analysis Research
Type
preprint
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preprint

Falconer estimate for circular and cinematic Furstenberg problem

Xiang Xie
arXiv (Cornell University)
Advanced Harmonic Analysis Research
preprint

Falconer estimate for circular and cinematic Furstenberg problem

Xiang Xie
preprint en

Abstract

We prove the Falconer-type bound $\dim_{\mathrm H}F\geq u+1$ for planar circular $(u,v)$-Furstenberg sets whenever $0

arXiv (Cornell University)
Advanced Harmonic Analysis Research
DOIOpen Access PDFOpenAlex
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Falconer estimate for circular and cinematic Furstenberg problem — Xiang Xie · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS