7 citations · 25 across the 13 of their papers we have counts for
14 papers
Maximal dilatation on nonorientable surfaces
Ji-Young Ham, Joongul Lee
On each nonorientable surface of even genus , we show that the Liechti-Strenner's polynomial in~\cite{LiechtiStrenner18} gives a maximal dilatation among pseudo-Anosov di…
An explicit formula for the -polynomial of the knot with Conway's notation
Ji-Young Ham, Joongul Lee
An explicit formula for the -polynomial of the knot having Conway's notation is computed up to repeated factors. Our polynomial contains exactly the same irreducible f…
Remarks on the Liechti-Strenner's examples having small dilatations
Ji-Young Ham, Joongul Lee
We show that the Liechti-Strenner's example for the closed nonorientable surface in \cite{LiechtiStrenner18} minimizes the dilatation within the class of pseudo-Anosov homeomorphis…
Golden ratio on nonorientable surfaces
Ji-Young Ham, Joongul Lee
On each nonorientable surface of odd genus , we give a mapping class whose dilatation on an invariant subsurface is the golden ratio.
On the volume and the Chern-Simons invariant for the hyperbolic alternating knot orbifolds
Ji-Young Ham, Joongul Lee
We extend the Neumann's methods and give the explicit formulae for the volume and the Chern-Simons invariant for hyperbolic alternating knot orbifolds.
Explicit formulae for Chern-Simons invariants of the hyperbolic knot orbifolds
Ji-Young Ham, Joongul Lee
We calculate the Chern-Simons invariants of the hyperbolic double twist knot orbifolds using the Schläfli formula for the generalized Chern-Simons function on the family of cone-ma…
An explicit volume formula for the link cone-manifolds
Ji-young Ham, Joongul Lee, Alexander Mednykh +1
We calculate the volume of the link cone-manifolds using the Schläfli formula. As an application, we give the volume of the cyclic coverings over the link.
On the volume and the Chern-Simons invariant for the -bridge knot orbifolds
Ji-Young Ham, Joongul Lee, Alexander Mednykh +1
We extend some part of the unpublished paper written by Mednykh and Rasskazov. Using the approach indicated in this paper we derive the Riley-Mednykh polynomial for some family of…
Explicit formulae for Chern-Simons invariants of the hyperbolic orbifolds of the knot with Conway's notation
Ji-young Ham, Joongul Lee
We calculate the Chern-Simons invariants of the hyperbolic orbifolds of the knot with Conway's notation using the Schläfli formula for the generalized Chern-Simons funct…
An explicit formula for the -polynomial of the knot with Conway's notation
Ji-Young Ham, Joongul Lee
An explicit formula for the -polynomial of the knot with Conway's notation is obtained from the explicit Riley-Mednykh polynomial of it.
The volume of hyperbolic cone-manifolds of the knot with Conway's notation
Ji-Young Ham, Joongul Lee
Let be the family of two bridge knots of slope . We calculate the volumes of the cone-manifolds using the Schläfli formula. We present the conc…
On the steady state probability distribution of nonequilibrium stochastic systems
Jae Dong Noh, Joongul Lee
A driven stochastic system in a constant temperature heat bath relaxes into a steady state which is characterized by the steady state probability distribution. We investigate the r…
Explicit formulae for Chern-Simons invariants of the twist knot orbifolds and Edge polynomials of twist knots
Ji-young Ham, Joongul Lee
We calculate the Chern-Simons invariants of the twist knot orbifolds using the Schläfli formula for the generalized Chern-Simons function on the family of the twist knot cone-manif…
Particle Condensation in Pair Exclusion Process
Sang-Woo Kim, Joongul Lee, Jae Dong Noh
Condensation is characterized with a single macroscopic condensate whose mass is proportional to a system size . We demonstrate how important particle interactions are in conden…