Categorifications of non-integer quivers: types H_4, H_3 and I_2(2n + 1)
(2024)
Journal Article
Duffield, D. D., & Tumarkin, P. (in press). Categorifications of non-integer quivers: types H_4, H_3 and I_2(2n + 1). Representation Theory,
Outputs (99)
The Emergence of Order in Many Element Systems (2024)
Journal Article
Einav, A. (in press). The Emergence of Order in Many Element Systems. Journal of Statistical Physics,Our work is dedicated to the introduction and investigation of a new asymptotic correlation relation in the field of mean field models and limits. This new notion, order (as opposed to chaos), revolves around a tendency for self organisation in a giv... Read More about The Emergence of Order in Many Element Systems.
The emergence of order in many element systems (2024)
Journal Article
Einav, A. (in press). The emergence of order in many element systems. Journal of Statistical Physics,Our work is dedicated to the introduction and investigation of a new asymptotic correlation relation in the field of mean field models and limits. This new notion, order (as opposed to chaos), revolves around a tendency for self organisation in a giv... Read More about The emergence of order in many element systems.
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/10.1007/978-3-031-57985-1Three-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/ad5265We 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.
High-dimensional detection of Landscape Dynamics: a Landsat time series-based algorithm for forest disturbance mapping and beyond (2024)
Journal Article
Morresi, D., Maeng, H., Marzano, R., Lingua, E., Motta, R., & Garbarino, M. (2024). High-dimensional detection of Landscape Dynamics: a Landsat time series-based algorithm for forest disturbance mapping and beyond. GIScience and Remote Sensing, 61(1), Article 2365001. https://doi.org/10.1080/15481603.2024.2365001Time series analysis of medium-resolution multispectral satellite imagery is critical to investigate forest disturbance dynamics at the landscape scale. In particular, the spatial, temporal, and radiometric consistency of Landsat time series data pro... Read More about High-dimensional detection of Landscape Dynamics: a Landsat time series-based algorithm for forest disturbance mapping and beyond.
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/10.1080/10618600.2024.2365733We 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/16776Given 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.