Outputs (199)

Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations (2021)
Journal Article
Feng, C., Qu, B., & Zhao, H. (2021). Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations. Journal of Differential Equations, 286, 119-163. https://doi.org/10.1016/j.jde.2021.03.022

In this paper, we define random quasi-periodic paths for random dynamical systems and quasi-periodic measures for Markovian semigroups. We give a sufficient condition for the existence and uniqueness of random quasi-periodic paths and quasi-periodic... Read More about Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations.

Charge screening in the Abelian Higgs model (2021)
Journal Article
Forgács, P., & Lukács, Á. (2021). Charge screening in the Abelian Higgs model. The European Physical Journal C, 81(3), Article 243. https://doi.org/10.1140/epjc/s10052-021-09022-x

In the Abelian Higgs model electric (and magnetic) fields of external charges (and currents) are screened by the scalar field. In this contribution, complementing recent investigations of Ishihara and Ogawa, we present a detailed investigation of cha... Read More about Charge screening in the Abelian Higgs model.

Abelian mirror symmetry of $$ \mathcal{N} $$ = (2, 2) boundary conditions (2021)
Journal Article
Okazaki, T. (2021). Abelian mirror symmetry of $$ \mathcal{N} $$ = (2, 2) boundary conditions. Journal of High Energy Physics, 2021(3), Article 163. https://doi.org/10.1007/jhep03%282021%29163

We evaluate half-indices of N = (2, 2) half-BPS boundary conditions in 3d N = 4 supersymmetric Abelian gauge theories. We confirm that the Neumann boundary condition is dual to the generic Dirichlet boundary condition for its mirror theory as the hal... Read More about Abelian mirror symmetry of $$ \mathcal{N} $$ = (2, 2) boundary conditions.

Eigenfunctions and the Integrated Density of States on Archimedean Tilings (2021)
Journal Article
Peyerimhoff, N., & Taeufer, M. (2021). Eigenfunctions and the Integrated Density of States on Archimedean Tilings. Journal of Spectral Theory, 11(2), 461-488. https://doi.org/10.4171/jst/347

We study existence and absence of ` 2 -eigenfunctions of the combinatorial Laplacian on the 11 Archimedean tilings of the Euclidean plane by regular convex polygons. We show that exactly two of these tilings (namely the .3:6/2 “kagome” tiling and the... Read More about Eigenfunctions and the Integrated Density of States on Archimedean Tilings.

Two-solvable and two-bipolar knots with large four-genera (2021)
Journal Article
Cha, J. C., Miller, A. N., & Powell, M. (2021). Two-solvable and two-bipolar knots with large four-genera. Mathematical Research Letters, 28(2), 331-382. https://doi.org/10.4310/mrl.2021.v28.n2.a2

For every integer g, we construct a 2-solvable and 2-bipolar knot whose topological 4-genus is greater than g. Note that 2-solvable knots are in particular algebraically slice and have vanishing Casson–Gordon obstructions. Similarly all known smooth... Read More about Two-solvable and two-bipolar knots with large four-genera.

Creation and observation of Hopfions in magnetic multilayer systems (2021)
Journal Article
Kent, N., Reynolds, N., Raftrey, D., Campbell, I. T., Virasawmy, S., Dhuey, S., …Fischer, P. (2021). Creation and observation of Hopfions in magnetic multilayer systems. Nature Communications, 12(1), Article 1562. https://doi.org/10.1038/s41467-021-21846-5

Among topological solitons, magnetic skyrmions are two-dimensional particle-like objects with a continuous winding of the magnetization, and magnetic Hopfions are three-dimensional objects that can be formed from a closed loop of twisted skyrmion str... Read More about Creation and observation of Hopfions in magnetic multilayer systems.

Condensates and anomaly cascade in vector-like theories (2021)
Journal Article
Anber, M. M. (2021). Condensates and anomaly cascade in vector-like theories. Journal of High Energy Physics, 2021(3), Article 191. https://doi.org/10.1007/jhep03%282021%29191

We study the bilinear and higher-order fermion condensates in 4-dimensional SU(N) gauge theories with a single Dirac fermion in a general representation. Augmented with a mixed anomaly between the 0-form discrete chiral, 1-form center, and 0-form bar... Read More about Condensates and anomaly cascade in vector-like theories.

Beyond Strictly Proper Scoring Rules: The Importance of Being Local (2021)
Journal Article
Du, H. (2021). Beyond Strictly Proper Scoring Rules: The Importance of Being Local. Weather and Forecasting, 36(2), 457-468. https://doi.org/10.1175/waf-d-19-0205.1

The evaluation of probabilistic forecasts plays a central role both in the interpretation and in the use of forecast systems and their development. Probabilistic scores (scoring rules) provide statistical measures to assess the quality of probabilist... Read More about Beyond Strictly Proper Scoring Rules: The Importance of Being Local.

Surface Words are Determined by Word Measures on Groups (2021)
Journal Article
Magee, M., & Puder, D. (2021). Surface Words are Determined by Word Measures on Groups. Israel Journal of Mathematics, 241, 749-774. https://doi.org/10.1007/s11856-021-2113-5

Every word w in a free group naturally induces a probability measure on every compact group G. For example, if w = [x, y] is the commutator word, a random element sampled by the w-measure is given by the commutator [g, h] of two independent, Haar-ran... Read More about Surface Words are Determined by Word Measures on Groups.

A Model for the Coupled Eruption of a Pseudostreamer and Helmet Streamer (2021)
Journal Article
Wyper, P., Antiochos, S., DeVore, C., Lynch, B., Karpen, J., & Kumar, P. (2021). A Model for the Coupled Eruption of a Pseudostreamer and Helmet Streamer. Astrophysical Journal, 909(1), Article 54. https://doi.org/10.3847/1538-4357/abd9ca

A highly important aspect of solar activity is the coupling between eruptions and the surrounding coronal magnetic field topology, which determines the trajectory and morphology of the event and can even lead to sympathetic eruptions from multiple so... Read More about A Model for the Coupled Eruption of a Pseudostreamer and Helmet Streamer.