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On the bivariate Erdős–Kac theorem and correlations of the Möbius function (2019)
Journal Article
Mangerel, A. P. (2019). On the bivariate Erdős–Kac theorem and correlations of the Möbius function. Mathematical Proceedings of the Cambridge Philosophical Society, 169(3), 547-605. https://doi.org/10.1017/s0305004119000288

Given a positive integer n let ω (n) denote the number of distinct prime factors of n, and let a be fixed positive integer. Extending work of Kubilius, we develop a bivariate probabilistic model to study the joint distribution of the deterministic ve... Read More about On the bivariate Erdős–Kac theorem and correlations of the Möbius function.

Non-Lorentzian M5-brane Theories from Holography (2019)
Journal Article
Lambert, N., Lipstein, A., & Richmond, P. (2019). Non-Lorentzian M5-brane Theories from Holography. Journal of High Energy Physics, 2019(08), Article 060. https://doi.org/10.1007/jhep08%282019%29060

M-theory on AdS7 × S4 admits a description where the AdS7 factor is constructed as a timelike Hopf fibration over a non-compact three dimensional complex projective space CP ~ 3 CP~3 [1]. We consider the worldvolume theory for M5-branes at a fixed CP... Read More about Non-Lorentzian M5-brane Theories from Holography.

The Fourier Transform on harmonic manifolds of purely exponential volume growth (2019)
Journal Article
Biswas, K., Knieper, G., & Peyerimhoff, N. (2021). The Fourier Transform on harmonic manifolds of purely exponential volume growth. Journal of Geometric Analysis, 31(1), 126-163. https://doi.org/10.1007/s12220-019-00253-9

Let X be a complete, simply connected harmonic manifold of purely exponential volume growth. This class contains all non-flat harmonic manifolds of non-positive curvature and, in particular all known examples of non-compact harmonic manifolds except... Read More about The Fourier Transform on harmonic manifolds of purely exponential volume growth.

On nonparametric predictive inference for asset and European option trading in the binomial tree model (2019)
Journal Article
Chen, J., Coolen, F., & Coolen-Maturi, T. (2019). On nonparametric predictive inference for asset and European option trading in the binomial tree model. Journal of the Operational Research Society, 70(10), 1678-1691. https://doi.org/10.1080/01605682.2019.1643682

This paper introduces a novel method for asset and option trading in a binomial scenario. This method uses nonparametric predictive inference (NPI), a statistical methodology within im- precise probability theory. Instead of inducing a single probabi... Read More about On nonparametric predictive inference for asset and European option trading in the binomial tree model.

On some incomplete theta integrals (2019)
Journal Article
Funke, J., & Kudla, S. (2019). On some incomplete theta integrals. Compositio Mathematica, 155(9), 1711-1746. https://doi.org/10.1112/s0010437x19007504

In this paper we construct indefinite theta series for lattices of arbitrary signature as ‘incomplete’ theta integrals, that is, by integrating the theta forms constructed by the second author with J. Millson over certain singular -chains in the asso... Read More about On some incomplete theta integrals.

Dai-Freed anomalies in particle physics (2019)
Journal Article
García-Etxebarria, I., & Montero, M. (2019). Dai-Freed anomalies in particle physics. Journal of High Energy Physics, 2019(8), Article 3. https://doi.org/10.1007/jhep08%282019%29003

Anomalies can be elegantly analyzed by means of the Dai-Freed theorem. In this framework it is natural to consider a refinement of traditional anomaly cancellation conditions, which sometimes leads to nontrivial extra constraints in the fermion spect... Read More about Dai-Freed anomalies in particle physics.

Magnetic inhibition of centrifugal instability (2019)
Journal Article
Komissarov, S. S., Gourgouliatos, K. N., & Matsumoto, J. (2019). Magnetic inhibition of centrifugal instability. Monthly Notices of the Royal Astronomical Society, 488(3), 4061-4073. https://doi.org/10.1093/mnras/stz1973

Recently, it was shown that the centrifugal instability may be important in the dynamics of astrophysical jets undergoing reconfinement by external pressure. However, these studies were limited to the case of unmagnetized flows. Here, we explore the... Read More about Magnetic inhibition of centrifugal instability.