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math.CA2013
On sharp local turns of planar polynomials
Ruixiang Zhang
We show that for a real polynomial of degree in two variables and , any local "sharp turn" must have its "size" . We also show that there is indeed…
math.CO2013★ 3 cited
On configurations where the Loomis-Whitney inequality is nearly sharp and applications to the Furstenberg set problem
Ruixiang Zhang
In this paper, we consider the so-called "Furstenberg set problem" in high dimensions. First, following Wolff's work on the two dimensional real case, we provide "reasonable" upper…