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Semi-infinite particle systems with exclusion interaction and heterogeneous jump rates (2024)
Journal Article
Menshikov, M. V., Popov, S., & Wade, A. R. (in press). Semi-infinite particle systems with exclusion interaction and heterogeneous jump rates. Mathematical Sciences,

We study semi-infinite 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 suppre... Read More about Semi-infinite particle systems with exclusion interaction and heterogeneous jump rates.

Latitude Quenching Nonlinearity in the Solar Dynamo (2024)
Journal Article
Yeates, A. R., Bertello, L., Pevtsov, A. A., & Pevtsov, A. A. (in press). Latitude Quenching Nonlinearity in the Solar Dynamo. The Astrophysical Journal,

We compare two candidate nonlinearities for regulating the solar cycle within the Babcock-Leighton paradigm: tilt quenching (whereby the tilt of active regions is reduced in stronger cycles) and latitude quenching (whereby flux emerges at higher lati... Read More about Latitude Quenching Nonlinearity in the Solar Dynamo.

Note on ’t Hooft-line defect integrated correlators in 𝒩=4 supersymmetric Yang-Mills theory (2024)
Journal Article
Dorigoni, D. (in press). Note on ’t Hooft-line defect integrated correlators in 𝒩=4 supersymmetric Yang-Mills theory. Physical Review D,

We derive the perturbative expansion of a particular integrated correlator of two superconformal primary operators in the stress tensor multiplet of 𝒩=4 supersymmetric 𝑆⁢𝑈⁡(𝑁) Yang–Mills theory in the presence of a half-BPS ’t Hooft-line defect. The... Read More about Note on ’t Hooft-line defect integrated correlators in 𝒩=4 supersymmetric Yang-Mills theory.

Spectral ratios and gaps for Steklov eigenvalues of balls with revolution-type metrics (2024)
Journal Article
Brisson, J., Colbois, B., & Gittins, K. (in press). Spectral ratios and gaps for Steklov eigenvalues of balls with revolution-type metrics. Canadian Mathematical Bulletin,

We investigate upper bounds for the spectral ratios and gaps for the Steklov eigenvalues of balls with revolution-type metrics. We do not impose conditions on the Ricci curvature or on the convexity of the boundary. We obtain optimal upper bounds for... Read More about Spectral ratios and gaps for Steklov eigenvalues of balls with revolution-type metrics.

Holdout Sets for Safe Predictive Model Updating (2024)
Journal Article
Haidar-Wehbe, S., Emerson, S. R., Aslett, L. J., & Liley, J. (in press). Holdout Sets for Safe Predictive Model Updating. Annals of Applied Statistics,

Predictive risk scores for adverse outcomes are increasingly crucial in guiding health interventions. Such scores may need to be periodically updated due to change in the distributions they model. However, directly updating risk scores used to guide... Read More about Holdout Sets for Safe Predictive Model Updating.

Differential behaviour of a risk score for emergency hospital admission by demographics in Scotland -a retrospective study (2024)
Journal Article
Thoma, I., Rogers, S., Ireland, J., Porteous, R., Borland, K., Vallejos, C. A., Aslett, L. J. M., & Liley, J. (in press). Differential behaviour of a risk score for emergency hospital admission by demographics in Scotland -a retrospective study. PLoS Digital Health,

The Scottish Patients at Risk of Re-Admission and Admission (SPARRA) score predicts individual risk of emergency hospital admission for approximately 80% of the Scottish population. It was developed using routinely collected electronic health records... Read More about Differential behaviour of a risk score for emergency hospital admission by demographics in Scotland -a retrospective study.

Directed Spatial Permutations on Asymmetric Tori (2024)
Journal Article
Hammond, A., & Helmuth, T. (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.

Nonparametric Predictive Inference for Two Future Observations with Right-Censored Data (2024)
Journal Article
Coolen-Maturi, T., Mahnashi, A. M., & Coolen, F. P. A. (in press). Nonparametric Predictive Inference for Two Future Observations with Right-Censored Data. Mathematical Methods of Statistics,

In reliability and survival analyses, right-censored observations are common. This type of data occurs when an event of interest is not fully observed during an experiment and there is no information provided about a random quantity, except that it e... Read More about Nonparametric Predictive Inference for Two Future Observations with Right-Censored Data.

Fusion asymptotics for Liouville correlation functions (2024)
Journal Article
Baverez, G., & Wong, M. D. (in press). Fusion asymptotics for Liouville correlation functions. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques,

In [DKRV17a], David-Kupiainen-Rhodes-Vargas introduced a probabilistic framework based on the Gaussian Free Field and Gaussian Multiplicative Chaos in order to make sense rigorously of the path integral approach to Liouville Conformal Field Theory (L... Read More about Fusion asymptotics for Liouville correlation functions.

Rationality of representation zeta functions of compact p-adic analytic groups (2023)
Journal Article
Stasinski, A., & Zordan, M. (in press). Rationality of representation zeta functions of compact p-adic analytic groups. American Journal of Mathematics,

We prove that for any FAb compact p-adic analytic group G, its representation zeta function is a finite sum of terms n −s i fi(p −s), where ni are natural numbers and fi(t) ∈ Q(t) are rational functions. Meromorphic continuation and rationality of th... Read More about Rationality of representation zeta functions of compact p-adic analytic groups.

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.