Outputs (203)

Squarefree Integers in Arithmetic Progressions to Smooth Moduli (2021)
Journal Article
Mangerel, A. P. (2021). Squarefree Integers in Arithmetic Progressions to Smooth Moduli. Forum of Mathematics, Sigma, 9, Article e72. https://doi.org/10.1017/fms.2021.67

Let ε>0 be sufficiently small and let 0<η<1/522 . We show that if X is large enough in terms of ε , then for any squarefree integer q≤X196/261−ε that is Xη -smooth one can obtain an asymptotic formula with power-saving error term for the number of sq...

Is flare-ribbon fine structure related to tearing in the flare current sheet? (2021)
Journal Article
Wyper, P., & Pontin, D. (2021). Is flare-ribbon fine structure related to tearing in the flare current sheet?. Astrophysical Journal, 920(2), Article 102. https://doi.org/10.3847/1538-4357/ac1943

Observations of solar flare ribbons show significant fine structure in the form of breaking wave-like perturbations and spirals. The origin of this structure is not well understood, but one possibility is that it is related to the tearing instability... Read More about Is flare-ribbon fine structure related to tearing in the flare current sheet?.

Embedding spheres in knot traces (2021)
Journal Article
Feller, P., Miller, A. N., Nagel, M., Orson, P., Powell, M., & Ray, A. (2021). Embedding spheres in knot traces. Compositio Mathematica, 157(10), 2242-2279. https://doi.org/10.1112/s0010437x21007508

The trace of the n-framed surgery on a knot in S3 is a 4-manifold homotopy equivalent to the 2-sphere. We characterise when a generator of the second homotopy group of such a manifold can be realised by a locally flat embedded 2-sphere whose compleme... Read More about Embedding spheres in knot traces.

On the consistency of (partially-)massless matter couplings in de Sitter space (2021)
Journal Article
Sleight, C., & Taronna, M. (2021). On the consistency of (partially-)massless matter couplings in de Sitter space. Journal of High Energy Physics, 2021(10), Article 156 (2021). https://doi.org/10.1007/jhep10%282021%29156

We study the consistency of the cubic couplings of a (partially-)massless spinning field to two scalars in (d + 1)-dimensional de Sitter space. Gauge invariance of observables with external (partially)-massless spinning fields translates into Ward-Ta... Read More about On the consistency of (partially-)massless matter couplings in de Sitter space.

Survival signature for reliability evaluation of a multi-state system with multi-state components (2021)
Journal Article
Qin, J., & Coolen, F. (2022). Survival signature for reliability evaluation of a multi-state system with multi-state components. Reliability Engineering & System Safety, 218(Part A), Article 108129. https://doi.org/10.1016/j.ress.2021.108129

Survival signature technology has recently attracted increasing attention for its merits on quantifying reliability of systems with multiple types of components. In order to implement reliability evaluation of multi-state system (MSS), computing meth... Read More about Survival signature for reliability evaluation of a multi-state system with multi-state components.

Evolving to Non-round Weingarten Spheres: Integer Linear Hopf Flows (2021)
Journal Article
Guilfoyle, B., & Klingenberg, W. (2021). Evolving to Non-round Weingarten Spheres: Integer Linear Hopf Flows. Partial Differential Equations and Applications, 2(6), Article 72. https://doi.org/10.1007/s42985-021-00128-1

In the 1950’s Hopf gave examples of non-round convex 2-spheres in Euclidean 3-space with rotational symmetry that satisfy a linear relationship between their principal curvatures. In this paper, we investigate conditions under which evolving a smooth... Read More about Evolving to Non-round Weingarten Spheres: Integer Linear Hopf Flows.

Ergodicity of Sublinear Markovian Semigroups (2021)
Journal Article
Feng, C., & Zhao, H. (2021). Ergodicity of Sublinear Markovian Semigroups. SIAM Journal on Mathematical Analysis, 53(5), 5646-5681. https://doi.org/10.1137/20m1356518

In this paper, we study the ergodicity of invariant sublinear expectation of sublinear Markovian semigroup. For this, we first develop an ergodic theory of an expectation-preserving map on a sublinear expectation space. Ergodicity is defined as any i... Read More about Ergodicity of Sublinear Markovian Semigroups.

Magnetic quivers from brane webs with O7+-planes (2021)
Journal Article
Akhond, M., & Carta, F. (2021). Magnetic quivers from brane webs with O7+-planes. Journal of High Energy Physics, 2021(10), https://doi.org/10.1007/jhep10%282021%29014

We consider the Higgs branch of 5d fixed points engineered using brane webs with an O7+-plane. We use the brane construction to propose a set of rules to extract the corresponding magnetic quivers. Such magnetic quivers are generically framed non-sim... Read More about Magnetic quivers from brane webs with O7+-planes.

The rectangular peg problem (2021)
Journal Article
Greene, J., & Lobb, A. (2021). The rectangular peg problem. Annals of Mathematics, 194(2), 509-517. https://doi.org/10.4007/annals.2021.194.2.4

For every smooth Jordan curve and rectangle R in the Euclidean plane, we show that there exists a rectangle similar to R whose vertices lie on . The proof relies on the theorem of Shevchishin and Nemirovski that the Klein bottle does not admit a smoo... Read More about The rectangular peg problem.

On Lieb-Thirring inequalities for one-dimensional non-self-adjoint Jacobi and Schrödinger operators (2021)
Journal Article
Boegli, S., & Stampach, F. (2021). On Lieb-Thirring inequalities for one-dimensional non-self-adjoint Jacobi and Schrödinger operators. Journal of Spectral Theory, 11(3), 1391-1413. https://doi.org/10.4171/jst/378

We study to what extent Lieb–Thirring inequalities are extendable from self-adjoint to general (possibly non-self-adjoint) Jacobi and Schrödinger operators. Namely, we prove the conjecture of Hansmann and Katriel from [12] and answer another open que... Read More about On Lieb-Thirring inequalities for one-dimensional non-self-adjoint Jacobi and Schrödinger operators.