Anu Dhochak

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20212026

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cond-mat.stat-mech2026

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 $d$ -dimensional arithmetic Ising model (AIM). For a $2 \times 2$ system, we express it analytically using the $q$ …

math.DG2026

Critical-point-free energy for fractional-Toledo representations

Rivu Bardhan, Anu Dhochak, Pradip Kumar

Let $S_{g}$ be a closed oriented surface of genus $g \geq 2$ . For a reductive representation $ρ:π_1(S_g)\to\PU(2,1)$, let $E_{ρ}$ be the energy function on Teichmüller space associated to…

math.DG2026

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…