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Superdiffusive planar random walks with polynomial space-time drifts (2024)
Journal Article
Da Costa, C., Menshikov, M., Shcherbakov, V., & Wade, A. (in press). Superdiffusive planar random walks with polynomial space-time drifts. Stochastic Processes and their Applications,

We quantify superdiffusive transience for a two-dimensional random walk in which the vertical coordinate is a martingale and the horizontal coordinate has a positive drift that is a polynomial function of the individual coordinates and of the present... Read More about Superdiffusive planar random walks with polynomial space-time drifts.

Excitable and magnetic knots (2024)
Book Chapter
Sutcliffe, P. (2024). Excitable and magnetic knots. In R. Ricca, & X. Liu (Eds.), Knotted Fields (141-168). Springer Nature. https://doi.org/10.1007/978-3-031-57985-1

Three-dimensional excitable media host vortex filaments that can be created with a range of knotted and linked topologies. The evolution of these excitable knots and links is both complex and fascinating, as shown by examples of knot untangling and t... Read More about Excitable and magnetic knots.

Directed Spatial Permutations on Asymmetric Tori (2024)
Journal Article
Helmuth, T., & Hammond, A. (in press). Directed Spatial Permutations on Asymmetric Tori. Annals of Probability,

We investigate a model of random spatial permutations on two-dimensional tori, and establish that the joint distribution of large cycles is asymptotically given by the Poisson--Dirichlet distribution with parameter one. The asymmetry of the tori we c... Read More about Directed Spatial Permutations on Asymmetric Tori.

The Batchelor–Howells–Townsend spectrum: large velocity case (2024)
Journal Article
Jolly, M. S., & Wirosoetisno, D. (2024). The Batchelor–Howells–Townsend spectrum: large velocity case. Nonlinearity, 37(7), Article 075025. https://doi.org/10.1088/1361-6544/ad5265

We consider the behaviour of a passive tracer θ governed by ∂tθ+u⋅∇θ=Δθ+g in two space dimensions with prescribed smooth random incompressible velocity u(x, t) and source g(x). In 1959, Batchelor et al (J. Fluid Mech. 5 113) predicted that the tracer... Read More about The Batchelor–Howells–Townsend spectrum: large velocity case.

A distribution-free method for change point detection in non-sparse high dimensional data (2024)
Journal Article
Drikvandi, R., & Modarres, R. (2024). A distribution-free method for change point detection in non-sparse high dimensional data. Journal of Computational and Graphical Statistics, https://doi.org/10.1080/10618600.2024.2365733

We propose a distribution-free distance-based method for high dimensional change points that can address challenging situations when the sample size is very small compared to the dimension as in the so-called HDLSS data or when non-sparse changes may... Read More about A distribution-free method for change point detection in non-sparse high dimensional data.

Basic metric geometry of the bottleneck distance (2024)
Journal Article
Che, M., Galaz-García, F., Guijarro, L., Membrillo Solis, I., & Valiunas, M. (2024). Basic metric geometry of the bottleneck distance. Proceedings of the American Mathematical Society, https://doi.org/10.1090/proc/16776

Given a metric pair (X, A), i.e. a metric space X and a distinguished closed set A ⊂ X, one may construct in a functorial way a pointed pseudometric space D∞(X, A) of persistence diagrams equipped with the bottleneck distance. We investigate the basi... Read More about Basic metric geometry of the bottleneck distance.

Six-dimensional correlators from a five-dimensional operator product expansion (2024)
Journal Article
Lambert, N., Lipstein, A., & Mouland, R. (2024). Six-dimensional correlators from a five-dimensional operator product expansion. Journal of High Energy Physics, 2024(6), Article 055. https://doi.org/10.1007/jhep06%282024%29055

In this letter we discuss the operator product expansion of scalar operators in five-dimensional field theories with an SU(1, 3) × U(1) spacetime symmetry. Such theories arise by a novel conformal null reduction of six-dimensional Lorentzian conforma... Read More about Six-dimensional correlators from a five-dimensional operator product expansion.

More on G-flux and general hodge cycles on the Fermat sextic (2024)
Journal Article
Braun, A. P., Fortin, H., Garcia, D. L., & Loyola, R. V. (in press). More on G-flux and general hodge cycles on the Fermat sextic. Journal of High Energy Physics, 2024(6), Article 46. https://doi.org/10.1007/jhep06%282024%29046

We study M-Theory solutions with G-flux on the Fermat sextic Calabi-Yau fourfold, focussing on the relationship between the number of stabilized complex structure moduli and the tadpole contribution of the flux. We use two alternative approaches to d... Read More about More on G-flux and general hodge cycles on the Fermat sextic.

Line defect half-indices of SU(N) Chern-Simons theories (2024)
Journal Article
Okazaki, T., & Smith, D. J. (2024). Line defect half-indices of SU(N) Chern-Simons theories. Journal of High Energy Physics, 2024, Article 6. https://doi.org/10.1007/jhep06%282024%29006

We study the Wilson line defect half-indices of 3d N = 2 supersymmetric SU(N) Chern-Simons theories of level k ≤ – N with Neumann boundary conditions for the gauge fields, together with 2d Fermi multiplets and fundamental 3d chiral multiplets to canc... Read More about Line defect half-indices of SU(N) Chern-Simons theories.