Celebratio Mathematica — Hass — Complete Bibliography

Complete Bibliography

Works connected to Tahl Nowik

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J. Hass and T. Nowik: “Invariants of knot diagrams,” Math. Ann. 342 : 1 (2008), pp. 125–137. MR 2415317 Zbl 1161.57002 article

J. Hass and T. Nowik: “Unknot diagrams requiring a quadratic number of Reidemeister moves to untangle,” Discrete Comput. Geom. 44 : 1 (2010), pp. 91–95. MR 2639820 Zbl 1191.57006 article

J. Hass, C. Even-Zohar, N. Linial, and T. Nowik: Invariants of random knots and links. Preprint, June 2016. ArXiv 1411.3308 techreport

We study random knots and links in \( \mathbb{R}^3 \) using the Petaluma model, which is based on the petal projections developed in [Adams et al. 2015]. In this model we obtain a formula for the limiting distribution of the linking number of a random two-component link. We also obtain formulas for the expectations and the higher moments of the Casson invariant and the order-3 knot invariant \( v_3 \). These are the first precise formulas given for the distributions and higher moments of invariants in any model for random knots or links. We also use numerical computation to compare these to other random knot and link models, such as those based on grid diagrams.

Nathan Linial	Related
Tahl Nowik	Related
Chaim Even-Zohar	Related