4 papers
math.CO2025
To cover a permutohedron
Bochao Kong, Ji Zeng
The permutohedron of order is a polytope embedded in whose vertex coordinates are permutations of the first natural numbers. It is obvious that l…
math.DS2025
Most Fatou and Julia components are small for polynomials
Jinsong Zeng
We prove that Julia components of polynomials are generally small in diameter. For polynomials without irrationally neutral cycles, Fatou components are also typically small, even…
math.CO2025
Evasive sets, twisted varieties, and container-clique trees
Jeck Lim, Jiaxi Nie, Ji Zeng
In the affine space over the finite field of order , a point set is said to be -evasive if the intersection between and any variety, of dimensi…
math.CO2024
Unbalanced Zarankiewicz problem for bipartite subdivisions with applications to incidence geometry
Lili Ködmön, Anqi Li, Ji Zeng
For a bipartite graph , its linear threshold is the smallest real number such that every bipartite graph with unbalanced parts and…