Outputs (202)

Quartic surfaces up to volume preserving equivalence (2023)
Journal Article
Ducat, T. (2024). Quartic surfaces up to volume preserving equivalence. Selecta Mathematica (New Series), 30(1), Article 2. https://doi.org/10.1007/s00029-023-00890-7

We study log Calabi–Yau pairs of the form (P3, Δ), where Δ is a quartic surface, and classify all such pairs of coregularity less than or equal to one, up to volume preserving equivalence. In particular, if (P3, Δ) is a maximal log Calabi–Yau pair th... Read More about Quartic surfaces up to volume preserving equivalence.

Dynamics of Finite Inhomogeneous Particle Systems with Exclusion Interaction (2023)
Journal Article
Malyshev, V., Menshikov, M. V., Popov, S., & Wade, A. (in press). Dynamics of Finite Inhomogeneous Particle Systems with Exclusion Interaction. Journal of Statistical Physics, 190(11), Article 184. https://doi.org/10.1007/s10955-023-03190-8

We study finite particle systems on the one-dimensional integer lattice, where each particle performs a continuous-time nearest-neighbour random walk, with jump rates intrinsic to each particle, subject to an exclusion interaction which suppresses ju... Read More about Dynamics of Finite Inhomogeneous Particle Systems with Exclusion Interaction.

Global structures from the infrared (2023)
Journal Article
Del Zotto, M., & García Etxebarria, I. (2023). Global structures from the infrared. Journal of High Energy Physics, 2023(11), Article 58. https://doi.org/10.1007/jhep11%282023%29058

Quantum field theories with identical local dynamics can admit different choices of global structure, leading to different partition functions and spectra of extended operators. Such choices can be reformulated in terms of a topological field theory... Read More about Global structures from the infrared.

Strong transience for one-dimensional Markov chains with asymptotically zero drifts (2023)
Journal Article
Lo, C. H., Menshikov, M. V., & Wade, A. R. (2023). Strong transience for one-dimensional Markov chains with asymptotically zero drifts. Stochastic Processes and their Applications, 104260. https://doi.org/10.1016/j.spa.2023.104260

For near-critical, transient Markov chains on the non-negative integers in the Lamperti regime, where the mean drift at x decays as 1... Read More about Strong transience for one-dimensional Markov chains with asymptotically zero drifts.

Local non-injectivity of the exponential map at critical points in sub-Riemannian geometry (2023)
Journal Article
Borza, S., & Klingenberg, W. (2024). Local non-injectivity of the exponential map at critical points in sub-Riemannian geometry. Nonlinear Analysis: Theory, Methods and Applications, 239, Article 113421. https://doi.org/10.1016/j.na.2023.113421

Heat Flow in Polygons with Reflecting Edges (2023)
Journal Article
Farrington, S., & Gittins, K. (2023). Heat Flow in Polygons with Reflecting Edges. Integral Equations and Operator Theory, 95(4), Article 27. https://doi.org/10.1007/s00020-023-02749-0

We investigate the heat flow in an open, bounded set D in R2 with polygonal boundary ∂D. We suppose that D contains an open, bounded set D~ with polygonal boundary ∂D~. The initial condition is the indicator function of D~ and we impose a Neumann bou... Read More about Heat Flow in Polygons with Reflecting Edges.

Infinite volume and atoms at the bottom of the spectrum (2023)
Journal Article
Edwards, S., Fraczyk, M., Lee, M., & Oh, H. (in press). Infinite volume and atoms at the bottom of the spectrum. Comptes Rendus Mathématique,

Gaussian, stable, tempered stable and mixed limit laws for random walks in cooling random environments (2023)
Journal Article
Avena, L., Da Costa, C., & Peterson, J. (in press). Gaussian, stable, tempered stable and mixed limit laws for random walks in cooling random environments. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques,

Random Walks in Cooling Random Environments (RWCRE) is a model of random walks in dynamic random environments where the entire environment is resampled along a fixed sequence of times, called the "cooling sequence", and is kept fixed in between those... Read More about Gaussian, stable, tempered stable and mixed limit laws for random walks in cooling random environments.

Laws of Large Numbers for Weighted Sums of Independent Random Variables: A Game of Mass (2023)
Journal Article
Avena, L., & da Costa, C. (2024). Laws of Large Numbers for Weighted Sums of Independent Random Variables: A Game of Mass. Journal of Theoretical Probability, 37(1), 81-120. https://doi.org/10.1007/s10959-023-01296-z

We consider weighted sums of independent random variables regulated by an increment sequence and provide operative conditions that ensure a strong law of large numbers for such sums in both the centred and non-centred case. The existing criteria for... Read More about Laws of Large Numbers for Weighted Sums of Independent Random Variables: A Game of Mass.

Data quality and patient characteristics in European ANCA-associated vasculitis registries: data retrieval by federated querying (2023)
Journal Article
Gisslander, K., Rutherford, M., Aslett, L., Basu, N., Dradin, F., Hederman, L., …Mohammad, A. J. (2023). Data quality and patient characteristics in European ANCA-associated vasculitis registries: data retrieval by federated querying. Annals of the Rheumatic Diseases, https://doi.org/10.1136/ard-2023-224571

Objectives This study aims to describe the data structure and harmonisation process, explore data quality and define characteristics, treatment, and outcomes of patients across six federated antineutrophil cytoplasmic antibody-associated vasculitis (... Read More about Data quality and patient characteristics in European ANCA-associated vasculitis registries: data retrieval by federated querying.