K. Ren

most citedFurstenberg sets estimate in the plane

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math.CA2023★ 2 cited

Furstenberg sets estimate in the plane

Kevin Ren, Hong Wang

We fully resolve the Furstenberg set conjecture in $R^{2}$ , that a $(s, t)$ -Furstenberg set has Hausdorff dimension $\geq min (s + t, \frac{3 s + t}{2}, s + 1)$ . As a result, we obt…

math.CA2023

A note on maximal operators for the Schrödinger equation on $T^{1} .$

Yuqiu Fu, Kevin Ren, Haoyu Wang

Motivated by the study of the maximal operator for the Schrödinger equation on the one-dimensional torus $T^{1}$ , it is conjectured that for any complex sequence $ \{b_n\}…

Furstenberg sets estimate in the plane

A note on maximal operators for the Schrödinger equation on T1.

A note on maximal operators for the Schrödinger equation on $T^{1} .$