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Non-invertible symmetries and higher representation theory I (2024)
Journal Article
Bartsch, T., Bullimore, M., Ferrari, A. E. V., & Pearson, J. (2024). Non-invertible symmetries and higher representation theory I. SciPost Physics, 17(1), Article 015. https://doi.org/10.21468/scipostphys.17.1.015

The purpose of this paper is to investigate the global categorical symmetries that arise when gauging finite higher groups in three or more dimensions. The motivation is to provide a common perspective on constructions of non-invertible global symmet... Read More about Non-invertible symmetries and higher representation theory I.

The Emergence of Order in Many Element Systems (2024)
Journal Article
Einav, A. (2024). The Emergence of Order in Many Element Systems. Journal of Statistical Physics, 191(7), Article 86. https://doi.org/10.1007/s10955-024-03307-7

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.

Estimating Dose and Time of Exposure from a Protein-Based Radiation Biomarker (2024)
Book Chapter
Cai, Y., Einbeck, J., Barnard, S., & Ainsbury, E. (2024). Estimating Dose and Time of Exposure from a Protein-Based Radiation Biomarker. In Developments in Statistical Modelling (239-245). Springer. https://doi.org/10.1007/978-3-031-65723-8_37

In order to analyze the potential damage to the human body caused by exposure to ionizing radiation, one needs to have an estimation of the dose of radiation received by the individual. In the context of a protein-based biomarker for radiation exposu... Read More about Estimating Dose and Time of Exposure from a Protein-Based Radiation Biomarker.

Elicitation of Priors for Intervention Effects in Educational Trial Data (2024)
Book Chapter
Zhang, Q., Uwimpuhwe, G., Vallis, D., Singh, A., Coolen-Maturi, T., & Einbeck, J. (2024). Elicitation of Priors for Intervention Effects in Educational Trial Data. In J. Einbeck, H. Maeng, E. Ogundimu, & K. Perrakis (Eds.), Developments in Statistical Modelling (28-33). Springer. https://doi.org/10.1007/978-3-031-65723-8_5

Effect sizes for educational interventions are commonly small, and hence decisions to re-grant efficacy trials (small trials with homogeneous populations under idealized conditions) as effectiveness trials (larger trials with heterogeneous population... Read More about Elicitation of Priors for Intervention Effects in Educational Trial Data.

A Distance-Based Statistic for Goodness-of-Fit Assessment (2024)
Book Chapter
Jayakumari, D., Einbeck, J., Hinde, J., & Moral, R. A. (2024). A Distance-Based Statistic for Goodness-of-Fit Assessment. In J. Einbeck, H. Maeng, E. Ogundimu, & K. Perrakis (Eds.), Developments in Statistical Modelling (263-268). Springer. https://doi.org/10.1007/978-3-031-65723-8_40

The modelling of count data in real world scenarios often requires models that address over-dispersion. Within the generalized linear modeling framework, various over-dispersion models are available as extensions of the basic Poisson model. Graphical... Read More about A Distance-Based Statistic for Goodness-of-Fit Assessment.

Simulating quantum field theories on continuous-variable quantum computers (2024)
Journal Article
Abel, S., Spannowsky, M., & Williams, S. (2024). Simulating quantum field theories on continuous-variable quantum computers. Physical Review A, 110(1), Article 012607. https://doi.org/10.1103/physreva.110.012607

We delve into the use of photonic quantum computing to simulate quantum mechanics and extend its application towards quantum field theory. We develop and prove a method that leverages this form of continuous-variable quantum computing (CVQC) to repro... Read More about Simulating quantum field theories on continuous-variable quantum computers.

Kurdyka–Łojasiewicz functions and mapping cylinder neighborhoods (2024)
Journal Article
Cibotaru, D., & Galaz-García, F. (online). Kurdyka–Łojasiewicz functions and mapping cylinder neighborhoods. Annales de l'Institut Fourier, https://doi.org/10.5802/aif.3656

Kurdyka–Łojasiewicz (KŁ) functions are real-valued functions characterized by a differential inequality involving the norm of their gradient. This class of functions is quite rich, containing objects as diverse as subanalytic, transnormal or Morse fu... Read More about Kurdyka–Łojasiewicz functions and mapping cylinder neighborhoods.