Outputs (222)

Beyond the Erdős discrepancy problem in function fields (2023)
Journal Article
Klurman, O., Mangerel, A. P., & Teräväinen, J. (2024). Beyond the Erdős discrepancy problem in function fields. Mathematische Annalen, 389(3), 2959-3008. https://doi.org/10.1007/s00208-023-02700-z

We characterize the limiting behavior of partial sums of multiplicative functions f:Fq[t]→S1. In contrast to the number field setting, the characterization depends crucially on whether the notion of discrepancy is defined using long intervals, short... Read More about Beyond the Erdős discrepancy problem in function fields.

Cosmetic operations and Khovanov multicurves (2023)
Journal Article
Kotelskiy, A., Lidman, T., Moore, A. H., Watson, L., & Zibrowius, C. (2024). Cosmetic operations and Khovanov multicurves. Mathematische Annalen, 389(3), 2903-2930. https://doi.org/10.1007/s00208-023-02697-5

We prove an equivariant version of the Cosmetic Surgery Conjecture for strongly invertible knots. Our proof combines a recent result of Hanselman with the Khovanov multicurve invariants Kh~ and BN~. We apply the same techniques to reprove a result of... Read More about Cosmetic operations and Khovanov multicurves.

Collisions of weakly-bound kinks in the Christ-Lee model (2023)
Journal Article
Dorey, P., Gorina, A., Romańczukiewicz, T., & Shnir, Y. (2023). Collisions of weakly-bound kinks in the Christ-Lee model. Journal of High Energy Physics, 2023(9), Article 45. https://doi.org/10.1007/jhep09%282023%29045

We investigate soliton collisions in a one-parameter family of scalar field theories in 1+1 dimensions which was first discussed by Christ and Lee. The models have a sextic potential with three local minima, and for suitably small values of the param... Read More about Collisions of weakly-bound kinks in the Christ-Lee model.

A mnemonic for the Lipshitz–Ozsváth–Thurstoncorrespondence (2023)
Journal Article
Kotelskiy, A., Watson, L., & Zibrowius, C. (2023). A mnemonic for the Lipshitz–Ozsváth–Thurstoncorrespondence. Algebraic & geometric topology, 23(6), 2519-2543. https://doi.org/10.2140/agt.2023.23.2519

When k is a field, type D structures over the algebra k[u,v]∕(uv) are equivalent to immersed curves decorated with local systems in the twice-punctured disk. Consequently, knot Floer homology, as a type D structure over k[u,v]∕(uv), can be viewed as... Read More about A mnemonic for the Lipshitz–Ozsváth–Thurstoncorrespondence.

Roots of Polynomials and Umbilics of Surfaces (2023)
Journal Article
Guilfoyle, D., & Klingenberg, W. (2023). Roots of Polynomials and Umbilics of Surfaces. Results in Mathematics, 78(6), https://doi.org/10.1007/s00025-023-02003-4

Inclusion of frequency nadir constraint in the unit commitment problem of small power systems using machine learning (2023)
Journal Article
Rajabdorri, M., Kazemtabrizi, B., Troffaes, M., Sigrist, L., & Lubato, E. (2023). Inclusion of frequency nadir constraint in the unit commitment problem of small power systems using machine learning. Sustainable Energy, Grids and Networks, 36, Article 101161. https://doi.org/10.1016/j.segan.2023.101161

As the intention is to reduce the amount of thermal generation and to increase the share of clean energy, power systems are increasingly becoming susceptible to frequency instability after outages due to reduced levels of inertia. To address this iss... Read More about Inclusion of frequency nadir constraint in the unit commitment problem of small power systems using machine learning.

Branes and symmetries for N = 3 S-folds (2023)
Journal Article
Etheredge, M., Etxebarria, I. G., Heidenreich, B., & Rauch, S. (2023). Branes and symmetries for N = 3 S-folds. Journal of High Energy Physics, 2023(9), Article 5. https://doi.org/10.1007/jhep09%282023%29005

We describe the higher-form and non-invertible symmetries of 4d N = 3 S-folds using the brane dynamics of their holographic duals. In cases with enhancement to N = 4 supersymmetry, our analysis reproduces the known field theory results of Aharony, Se... Read More about Branes and symmetries for N = 3 S-folds.

Near optimal spectral gaps for hyperbolic surfaces (2023)
Journal Article
Hide, W., & Magee, M. (2023). Near optimal spectral gaps for hyperbolic surfaces. Annals of Mathematics, 198(2), 791-824. https://doi.org/10.4007/annals.2023.198.2.6

We prove that if X is a finite area non-compact hyperbolic surface, then for any ϵ > 0, with probability tending to one as n → ∞, a uniformly random degree n Riemannian cover of X has no eigenvalues of the Laplacian in [0, 1 4 − ϵ) other than those o... Read More about Near optimal spectral gaps for hyperbolic surfaces.

Graviton trispectrum from gluons (2023)
Journal Article
Armstrong, C., Goodhew, H., Lipstein, A., & Mei, J. (2023). Graviton trispectrum from gluons. Journal of High Energy Physics, 2023(8), Article 206. https://doi.org/10.1007/jhep08%282023%29206

The tree-level wavefunction coefficient for four gravitons in de Sitter space was recently bootstrapped using the Cosmological Optical Theorem, flat space limit, and Manifestly Local Test [1]. Inspired by the double copy for scattering amplitudes, we... Read More about Graviton trispectrum from gluons.

First observation of 28O (2023)
Journal Article
Kondo, Y., Achouri, N. L., Falou, H. A., Atar, L., Aumann, T., Baba, H., …Yoshida, S. (2023). First observation of 28O. Nature, 620(7976), 965-970. https://doi.org/10.1038/s41586-023-06352-6

Subjecting a physical system to extreme conditions is one of the means often used to obtain a better understanding and deeper insight into its organization and structure. In the case of the atomic nucleus, one such approach is to investigate isotopes... Read More about First observation of 28O.