3 papers
math.CO2024
Kohayakawa-Nagle-R{ö}dl-Schacht conjecture for subdivisions
Hao Chen, Yupeng Lin, Jie Ma
In this paper, we study the well-known Kohayakawa-Nagle-R{ö}dl-Schacht (KNRS) conjecture, with a specific focus on graph subdivisions. The KNRS conjecture asserts that for any grap…
math.AP2024
Well-posedness of the 2D surface quasi-geostrophic equation in variable Lebesgue spaces
Hao Chen, Gastón Vergara-Hermosilla, Jihong Zhao
In this paper, we are mainly concerned with the well-posedness of the dissipative surface quasi-geostrophic equation in the framework of variable Lebesgue spaces. Based on some ana…
math.NT2015
Computing the Mazur and Swinnerton-Dyer critical subgroup of elliptic curves
Hao Chen
Let be an optimal elliptic curve defined over . The critical subgroup of is defined by Mazur and Swinnerton-Dyer as the subgroup of generated by…