2 citations · 6 across the 6 of their papers we have counts for
6 papers
On Finite Volume Discretization of Infiltration Dynamics in Tumor Growth Models
Xianyi Zeng, Mashriq Ahmed Saleh, Jianjun Paul Tian
We address numerical challenges in solving hyperbolic free boundary problems described by spherically symmetric conservation laws that arise in the modeling of tumor growth due to…
Finitely Generated Nil but Not Nilpotent Evolution Algebra
Jianjun Paul Tian, Yi Ming Zou
To use evolution algebras to model population dynamics that both allow extinction and introduction of certain gametes in finite generations, nilpotency must be built into the algeb…
Evolution algebras generated by Gibbs measures
Utkir A. Rozikov, Jianjun Paul Tian
In this article we study algebraic structures of function spaces defined by graphs and state spaces equipped with Gibbs measures by associating evolution algebras. We give a constr…
Generalized Long-Moody representations of braid groups
Stephen Bigelow, Jianjun Paul Tian
Long and Moody gave a method of constructing representations of the braid group B_n. We discuss some ways to generalize their construction. One of these gives representations of su…
Continuous Time Markov Processes on Graphs
Jianjun Tian, Xiao-Song Lin
We study continuous time Markov processes on graphs. The notion of frequency is introduced, which serves well as a scaling factor between any Markov time of a continuous time Marko…
Colored Coalescent Theory
Jianjun Tian, Xiao-Song Lin
We introduce a colored coalescent process which recovers random colored genealogical trees. Here a colored genealogical tree has its vertices colored black or white. Moving backwar…