11 citations · 29 across the 11 of their papers we have counts for
7 papers · 1 filter
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…
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…
On Degree Growth and Stabilization of Three Dimensional Monomial Maps
Jan-Li Lin
In this paper, we develop several tools to study the degree growth and stabilization of monomial maps. Using these tools, we can classify semisimple three dimensional monomial maps…
Pulling Back Cohomology Classes and Dynamical Degrees Of Monomial Maps
Jan-Li Lin
We study the pullback maps on cohomology groups for equivariant rational maps (i.e., monomial maps) on toric varieties. Our method is based on the intersection theory on toric vari…