Outputs (222)

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.

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.

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., Hruskova, Z., Kardaoui, H., Lamprecht, P., Lichołai, S., Musial, J., O’Sullivan, D., Puechal, X., Scott, J., Segelmark, M., Straka, R., Terrier, B., Tesar, V., Tesi, M., Vaglio, A., …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, 83(1), 112-120. 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.

From tree- to loop-simplicity in affine Toda theories II: higher-order poles and cut decompositions (2023)
Journal Article
Dorey, P., & Polvara, D. (2023). From tree- to loop-simplicity in affine Toda theories II: higher-order poles and cut decompositions. Journal of High Energy Physics, 2023(10), Article 177. https://doi.org/10.1007/jhep10%282023%29177

Recently we showed how, in two-dimensional scalar theories, one-loop threshold diagrams can be cut into the product of one or more tree-level diagrams [1]. Using this method on the ADE series of Toda models, we computed the double- and single-pole co... Read More about From tree- to loop-simplicity in affine Toda theories II: higher-order poles and cut decompositions.

Patterning of nonlocal transport models in biology: The impact of spatial dimension (2023)
Journal Article
Jewell, T. J., Krause, A. L., Maini, P. K., & Gaffney, E. A. (2023). Patterning of nonlocal transport models in biology: The impact of spatial dimension. Mathematical Biosciences, 366, Article 109093. https://doi.org/10.1016/j.mbs.2023.109093

Throughout developmental biology and ecology, transport can be driven by nonlocal interactions. Examples include cells that migrate based on contact with pseudopodia extended from other cells, and animals that move based on their awareness of other a... Read More about Patterning of nonlocal transport models in biology: The impact of spatial dimension.

Efficient Algorithms for Approximating Quantum Partition Functions at Low Temperature (2023)
Journal Article
Helmuth, T., & Mann, R. L. (2023). Efficient Algorithms for Approximating Quantum Partition Functions at Low Temperature. Quantum, 7, 1155. https://doi.org/10.22331/q-2023-10-25-1155

We establish an efficient approximation algorithm for the partition functions of a class of quantum spin systems at low temperature, which can be viewed as stable quantum perturbations of classical spin systems. Our algorithm is based on combining th... Read More about Efficient Algorithms for Approximating Quantum Partition Functions at Low Temperature.

Three conjectures about character sums (2023)
Journal Article
Granville, A., & Mangerel, A. P. (2023). Three conjectures about character sums. Mathematische Zeitschrift, 305(3), Article 49. https://doi.org/10.1007/s00209-023-03374-8

We establish that three well-known and rather different looking conjectures about Dirichlet characters and their (weighted) sums, (concerning the Pólya–Vinogradov theorem for maximal character sums, the maximal admissible range in Burgess’ estimate f... Read More about Three conjectures about character sums.