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First order Galilean superfluid dynamics (2017)
Journal Article
Banerjee, N., Dutta, S., & Jain, A. (2017). First order Galilean superfluid dynamics. Physical Review D, 96(6), Article 065004. https://doi.org/10.1103/physrevd.96.065004

We study dynamics of an (anomalous) Galilean superfluid up to first order in derivative expansion, both in parity-even and parity-odd sectors. We construct a relativistic system—null superfluid, which is a null fluid (introduced in N. Banerjee, S. Du... Read More about First order Galilean superfluid dynamics.

Fisher information under Gaussian quadrature models (2017)
Journal Article
Marques da Silva Júnior, A. H., Einbeck, J., & Craig, P. S. (2018). Fisher information under Gaussian quadrature models. Statistica Neerlandica, 72(2), 74-89. https://doi.org/10.1111/stan.12116

This paper develops formulae to compute the Fisher information matrix for the regression parameters of generalized linear models with Gaussian random effects. The Fisher information matrix relies on the estimation of the response variance under the m... Read More about Fisher information under Gaussian quadrature models.

Magnetic Flux Rope Identification and Characterization from Observationally Driven Solar Coronal Models (2017)
Journal Article
Lowder, C., & Yeates, A. (2017). Magnetic Flux Rope Identification and Characterization from Observationally Driven Solar Coronal Models. Astrophysical Journal, 846(2), Article 106. https://doi.org/10.3847/1538-4357/aa86b1

Formed through magnetic field shearing and reconnection in the solar corona, magnetic flux ropes are structures of twisted magnetic field, threaded along an axis. Their evolution and potential eruption are of great importance for space weather. Here... Read More about Magnetic Flux Rope Identification and Characterization from Observationally Driven Solar Coronal Models.

Mock modular forms and geometric theta functions for indefinite quadratic forms (2017)
Journal Article
Funke, J., & Kudla, S. S. (2017). Mock modular forms and geometric theta functions for indefinite quadratic forms. Journal of Physics A: Mathematical and Theoretical, 50(40), Article 404001. https://doi.org/10.1088/1751-8121/aa848b

Theta functions for indefinite quadratic forms are an important tool to construct modular forms and Mock modular forms. In this note, we recall the representation-theoretic background in the construction of theta series with emphasis on the theory de... Read More about Mock modular forms and geometric theta functions for indefinite quadratic forms.

Stable classification of 4-manifolds with 3-manifold fundamental groups (2017)
Journal Article
Kasprowski, D., Land, M., Powell, M., & Teichner, P. (2017). Stable classification of 4-manifolds with 3-manifold fundamental groups. Journal of Topology, 10(3), 827-881. https://doi.org/10.1112/topo.12025

We study closed, oriented 4-manifolds whose fundamental group is that of a closed, oriented, aspherical 3-manifold. We show that two such 4-manifolds are stably diffeomorphic if and only if they have the same w2-type and their equivariant intersectio... Read More about Stable classification of 4-manifolds with 3-manifold fundamental groups.

A complex hyperbolic Riley slice (2017)
Journal Article
Parker, J. R., & Will, P. (2017). A complex hyperbolic Riley slice. Geometry & Topology, 21(6), 3391-3451. https://doi.org/10.2140/gt.2017.21.3391

We study subgroups of PU(2,1) generated by two non-commuting unipotent maps A and B whose product AB is also unipotent. We call U the set of conjugacy classes of such groups. We provide a set of coordinates on U that make it homeomorphic to R2 . By c... Read More about A complex hyperbolic Riley slice.

Stochastic Model of Microtubule Dynamics (2017)
Journal Article
Hryniv, O., & Martínez Esteban, A. (2017). Stochastic Model of Microtubule Dynamics. Journal of Statistical Physics, 169(1), 203-222. https://doi.org/10.1007/s10955-017-1855-2

We introduce a continuous time stochastic process on strings made of two types of particle, whose dynamics mimics that of microtubules in a living cell. The long term behaviour of the system is described in terms of the velocity v of the string end.... Read More about Stochastic Model of Microtubule Dynamics.

Cantor-winning sets and their applications (2017)
Journal Article
Badziahin, D., & Harrap, S. (2017). Cantor-winning sets and their applications. Advances in Mathematics, 318, 627-677. https://doi.org/10.1016/j.aim.2017.07.027

We introduce and develop a class of Cantor-winning sets that share the same amenable properties as the classical winning sets associated to Schmidt’s (α, β)-game: these include maximal Hausdorff dimension, invariance under countable intersections wit... Read More about Cantor-winning sets and their applications.