2 citations · 5 across the 6 of their papers we have counts for
5 papers · 1 filter
Random Walk on Knot Diagrams, Colored Jones Polynomial and Ihara-Selberg Zeta Function
Xiao-Song Lin, Zhenghan Wang
A model of random walk on knot diagrams is used to study the Alexander polynomial and the colored Jones polynomial of knots. In this context, the inverse of the Alexander polynomia…
Fermat limit and congruence of Ohtsuki invariants
Xiao-Song Lin, Zhenghan Wang
By calculating the Fermat limit of certain q-Fermat functions, we get explicit surgery formulae for the second and third Ohtsuki invariants for homology 3-spheres. The surgery form…
Off-center Reflections: Caustics and Chaos
Thomas Kwok-keung Au, Xiao-song Lin
In this article, we attempt to study the possible link between the dynamics of a circle map and the caustics of its iterations. The attention is on a geometrically defined off-cent…
Milnor and finite type invariants of plat-closures
Efstratia Kalfagianni, Xiao-Song Lin
We show that for an -component, -bridge link and a positive integer , the following is true: If the longitudes of lie in the -th term of the lower central serie…
Regular Seifert surfaces and Vassiliev knot invariants
Efstratia Kalfagianni, Xiao-Song Lin
We show that the Vassiliev invariants of orders of a knot K, are obstructions to finding a regular Seifert surface, S, whose complement looks "simple" (e.g. like the compl…