11 citations · 29 across the 11 of their papers we have counts for
11 papers
The Geometry and Combinatorics of Some Hessenberg Varieties Related to the Permutohedral Variety
Jan-Li Lin
We construct a concrete isomorphism from the permutohedral variety to the regular semisimple Hessenberg variety associated to the Hessenberg function , .…
On the Arithmetic Dynamics of Monomial Maps
Jan-Li Lin
We generalized several results for the arithmetic dynamics of monomial maps, including Silverman's conjectures on height growth, dynamical Mordell-Lang conjecture, and dynamical Ma…
Rotation Numbers of Elements in Thompson's Group
Jeffrey Diller, Jan-Li Lin
We give a simple combinatorial proof that the rotation number for each element in Thompson's group is rational.
Degree Growth of Rational Maps Induced from Algebraic Structures
Charles Favre, Jan-Li Lin
For a finite dimensional vector space equipped with a -algebra structure, one can define rational maps using the algebraic structure. In this paper, we describe the grow…
Rational surface maps with invariant meromorphic two forms
Jeffrey Diller, Jan-Li Lin
We consider a rational map f:S->S of a complex projective surface together with an invariant meromorphic two form. Under a mild topological assumption on the map, we show that the…
Stabilization of monomial maps in higher codimension
Jan-Li Lin, Elizabeth Wulcan
A monomial self-map on a complex toric variety is said to be -stable if the action induced on the -cohomology is compatible with iteration. We show that under suitable c…