6 papers
Exact partition function of arithmetic Ising model
Anu Dhochak, Ken Kikuchi, Shrinit Singh
We present a compact formula for the exact partition function of the -dimensional arithmetic Ising model (AIM). For a system, we express it analytically using the …
Critical-point-free energy for fractional-Toledo representations
Rivu Bardhan, Anu Dhochak, Pradip Kumar
Let be a closed oriented surface of genus . For a reductive representation $ρ:π_1(S_g)\to\PU(2,1)$, let be the energy function on Teichmüller space associated to…
Maxfaces with infinitely many Swallowtails
Anu Dhochak
In this article, we discuss the existence of a 1-parameter infinite genus family of maxfaces having infinitely many planar (spacelike) ends and infinitely many swallowtails. In par…
Singularities on maxfaces constructed by node-opening
Hao Chen, Anu Dhochak, Pradip Kumar +1
The node-opening technique, originally designed for constructing minimal surfaces, is adapted to construct a rich variety of new maxfaces of high genus that are embedded outside a…
Cuspidal crosscaps and folded singularities on a maxface and a minface
Rivu Bardhan, Anu Dhochak, Pradip Kumar
For a given zero mean curvature surface (in the Lorentz Minkowski space) having folded singularity, we construct a family of maxface and minface, having increasing cuspidal cro…
Swallowtails and cone-like singularities on maxface
Pradip Kumar, Anu Dhochak
When a connected component of the set of singular points of the maxface consists of only generalized cone-like singular points, we construct a sequence of maxfaces , with…