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All Outputs (221)

Denoising Diffusion Probabilistic Models on SO(3) for Rotational Alignment (2022)
Conference Proceeding
Leach, A., Schmon, S. M., Degiacomi, M. T., & Willcocks, C. G. (2022). Denoising Diffusion Probabilistic Models on SO(3) for Rotational Alignment.

Probabilistic diffusion models are capable of modeling complex data distributions on high-dimensional Euclidean spaces for a range applications. However, many real world tasks involve more complex structures such as data distributions defined on mani... Read More about Denoising Diffusion Probabilistic Models on SO(3) for Rotational Alignment.

The universal tropicalization and the Berkovich analytification (2022)
Journal Article
Giansiracusa, J., & Giansiracusa, N. (2022). The universal tropicalization and the Berkovich analytification. Kybernetika (Prague. On-line), 58(5), 790-815. https://doi.org/10.14736/kyb-2022-5-0790

Given an integral scheme X over a non-archimedean valued field k, we construct a universal closed embedding of X into a k-scheme equipped with a model over the field with one element F1 (a generalization of a toric variety). An embedding into such an... Read More about The universal tropicalization and the Berkovich analytification.

Friezes for a pair of pants (2022)
Journal Article
Canakci, I., Garcia Elsener, A., Felikson, A., & Tumarkin, P. (2022). Friezes for a pair of pants. Séminaire lotharingien de combinatoire, 86B, Article 32

Frieze patterns are numerical arrangements that satisfy a local arithmetic rule. These arrangements are actively studied in connection to the theory of cluster algebras. In the setting of cluster algebras, the notion of a frieze pattern can be genera... Read More about Friezes for a pair of pants.

The impact of alternative delivery strategies for novel tuberculosis vaccines in low- and middle-income countries: a modelling study (2022)
Journal Article
Clark, R. A., Mukandavire, C., Portnoy, A., Weerasuriya, C. K., Deol, A., Scarponi, D., …White, R. G. (2022). The impact of alternative delivery strategies for novel tuberculosis vaccines in low- and middle-income countries: a modelling study. The Lancet Global Health, 11(4), https://doi.org/10.1101/2022.04.16.22273762

Background Tuberculosis is a leading infectious cause of death worldwide. Novel vaccines will be required to reach global targets and reverse setbacks resulting from the COVID-19 pandemic. We estimated the impact of novel tuberculosis vaccines in low... Read More about The impact of alternative delivery strategies for novel tuberculosis vaccines in low- and middle-income countries: a modelling study.

Logic Differential Calculus for Reliability Analysis Based on Survival Signature (2022)
Journal Article
Rusnak, P., Zaitseva, E., Coolen, F., Kvassay, M., & Levashenko, V. (2023). Logic Differential Calculus for Reliability Analysis Based on Survival Signature. IEEE Transactions on Dependable and Secure Computing, 20(2), 1529-1540. https://doi.org/10.1109/tdsc.2022.3159126

The structure function is an often-used mathematical representation of the investigated system in reliability analysis. It is a binary function that models system state according to states of its components. The size of the structure function depends... Read More about Logic Differential Calculus for Reliability Analysis Based on Survival Signature.

Preventing cardiotoxicity in patients with breast cancer and lymphoma: protocol for a multicentre randomised controlled trial (PROACT) (2022)
Journal Article
Maier, R. H., Plummer, C., Kasim, A. S., Akhter, N., Ogundimu, E., Maddox, J., …Austin, D. (2022). Preventing cardiotoxicity in patients with breast cancer and lymphoma: protocol for a multicentre randomised controlled trial (PROACT). BMJ Open, 12(12), Article e066252. https://doi.org/10.1136/bmjopen-2022-066252

Introduction: Anthracyclines are included in chemotherapy regimens to treat several different types of cancer and are extremely effective. However, it is recognised that a significant side effect is cardiotoxicity; anthracyclines can cause irreversib... Read More about Preventing cardiotoxicity in patients with breast cancer and lymphoma: protocol for a multicentre randomised controlled trial (PROACT).

Modular graph forms from equivariant iterated Eisenstein integrals (2022)
Journal Article
Dorigoni, D., Doroudiani, M., Drewitt, J., Hidding, M., Kleinschmidt, A., Matthes, N., …Verbeek, B. (2022). Modular graph forms from equivariant iterated Eisenstein integrals. Journal of High Energy Physics, 2022(12), Article 162. https://doi.org/10.1007/jhep12%282022%29162

The low-energy expansion of closed-string scattering amplitudes at genus one introduces infinite families of non-holomorphic modular forms called modular graph forms. Their differential and number-theoretic properties motivated Brown’s alternative co... Read More about Modular graph forms from equivariant iterated Eisenstein integrals.

Rigidity properties of the hypercube via Bakry–Émery curvature (2022)
Journal Article
Liu, S., Münch, F., & Peyerimhoff, N. (2022). Rigidity properties of the hypercube via Bakry–Émery curvature. Mathematische Annalen, https://doi.org/10.1007/s00208-022-02537-y

We give rigidity results for the discrete Bonnet–Myers diameter bound and the Lichnerowicz eigenvalue estimate. Both inequalities are sharp if and only if the underlying graph is a hypercube. The proofs use well-known semigroup methods as well as new... Read More about Rigidity properties of the hypercube via Bakry–Émery curvature.

Efficient sampling and counting algorithms for the Potts model on Zd at all temperatures (2022)
Journal Article
Borgs, C., Chayes, J., Helmuth, T., Perkins, W., & Tetali, P. (2023). Efficient sampling and counting algorithms for the Potts model on Zd at all temperatures. Random Structures and Algorithms, 63(1), 130-170. https://doi.org/10.1002/rsa.21131

The damselflies Hetaerininae, a subfamily of Calopterygidae, comprise four genera distributed from North to South America: Hetaerina, Mnesarete, Ormenophlebia and Bryoplathanon. While several studies have focused on the intriguing behavioral and morp... Read More about Efficient sampling and counting algorithms for the Potts model on Zd at all temperatures.

Sharpening the Distance Conjecture in diverse dimensions (2022)
Journal Article
Etheredge, M., Heidenreich, B., Kaya, S., Qiu, Y., & Rudelius, T. (2022). Sharpening the Distance Conjecture in diverse dimensions. Journal of High Energy Physics, 2022(12), Article 114. https://doi.org/10.1007/jhep12%282022%29114

The Distance Conjecture holds that any infinite-distance limit in the scalar field moduli space of a consistent theory of quantum gravity must be accompanied by a tower of light particles whose masses scale exponentially with proper field distance ‖ϕ... Read More about Sharpening the Distance Conjecture in diverse dimensions.

Bayesian emulation of computer experiments of infrastructure slope stability models (2022)
Conference Proceeding
Svalova, A., Helm, P., Prangle, D., Rouainia, M., Glendinning, S., & Wilkinson, D. (2022). Bayesian emulation of computer experiments of infrastructure slope stability models. In Proceedings of the 8th International Symposium on Geotechnical Safety and Risk (ISGSR). https://doi.org/10.3850/978-981-18-5182-7_00-07-011.xml

We performed a fully-Bayesian Gaussian process emulation and sensitivity analysis of a numerical model that simulates transport cutting slope deterioration. In the southern UK, a significant proportion of transport infrastructure is built in overcons... Read More about Bayesian emulation of computer experiments of infrastructure slope stability models.

The Imprint of Intermittent Interchange Reconnection on the Solar Wind (2022)
Journal Article
Wyper, P. F., DeVore, C., Antiochos, S., Pontin, D., Higginson, A. K., Scott, R., …Pelegrin-Frachon, T. (2022). The Imprint of Intermittent Interchange Reconnection on the Solar Wind. Astrophysical Journal Letters, 941(2), Article L29. https://doi.org/10.3847/2041-8213/aca8ae

The solar wind is known to be highly structured in space and time. Observations from Parker Solar Probe have revealed an abundance of so-called magnetic switchbacks within the near-Sun solar wind. In this Letter, we use a high-resolution, adaptive-me... Read More about The Imprint of Intermittent Interchange Reconnection on the Solar Wind.

New recursion relations for tree-level correlators in anti–de Sitter spacetime (2022)
Journal Article
Armstrong, C., Gomez, H., Lipinski Jusinskas, R., Lipstein, A., & Mei, J. (2022). New recursion relations for tree-level correlators in anti–de Sitter spacetime. Physical Review D, 106(12), https://doi.org/10.1103/physrevd.106.l121701

We present for the first time classical multiparticle solutions in anti–de Sitter space (AdS) involving scalars, gluons, and gravitons. They are recursively defined through multiparticle currents which reduce to Berends-Giele currents in the flat spa... Read More about New recursion relations for tree-level correlators in anti–de Sitter spacetime.

Brownian half‐plane excursion and critical Liouville quantum gravity (2022)
Journal Article
Aru, J., Holden, N., Powell, E., & Sun, X. (2023). Brownian half‐plane excursion and critical Liouville quantum gravity. Journal of the London Mathematical Society, 107(1), 441-509. https://doi.org/10.1112/jlms.12689

In a groundbreaking work, Duplantier, Miller and Sheffield showed that subcritical Liouville quantum gravity (LQG) coupled with Schramm–Loewner evolutions (SLE) can be obtained by gluing together a pair of Brownian motions. In this paper, we study th... Read More about Brownian half‐plane excursion and critical Liouville quantum gravity.

Enhanced soft limits in de Sitter space (2022)
Journal Article
Armstrong, C., Lipstein, A., & Mei, J. (2022). Enhanced soft limits in de Sitter space. Journal of High Energy Physics, 2022(12), Article 64. https://doi.org/10.1007/jhep12%282022%29064

In flat space, the scattering amplitudes of certain scalar effective field theories exhibit enhanced soft limits due to the presence of hidden symmetries. In this paper, we show that this phenomenon extends to wavefunction coefficients in de Sitter s... Read More about Enhanced soft limits in de Sitter space.

The Batchelor–Howells–Townsend spectrum: Three-dimensional case (2022)
Journal Article
Jolly, M., & Wirosoetisno, D. (2023). The Batchelor–Howells–Townsend spectrum: Three-dimensional case. Physica D: Nonlinear Phenomena, 445, Article 133615. https://doi.org/10.1016/j.physd.2022.133615

Given a velocity field u(x, t), we consider the evolution of a passive tracer governed by @t + u · ∇ = + g with time-independent source g(x). When u is small in some sense, Batchelor, Howells and Townsend (1959, J. Fluid Mech. 5:134; henceforth BHT59... Read More about The Batchelor–Howells–Townsend spectrum: Three-dimensional case.

Multikink scattering in the ϕ6 model revisited (2022)
Journal Article
Adam, C., Dorey, P., Martín-Caro, A. G., Huidobro, M., Oles, K., Romanczukiewicz, T., …Wereszczynski, A. (2022). Multikink scattering in the ϕ6 model revisited. Physical Review D, 106(12), Article 125003. https://doi.org/10.1103/physrevd.106.125003

Antikink-kink (KK) collisions in the ¯ ϕ6 model exhibit resonant scattering although the ϕ6 kinks do not support any bound states to which energy could be transferred. In P. Dorey et al. [Kink-Antikink Collisions in the ϕ6 Model, Phys. Rev. Lett. 107... Read More about Multikink scattering in the ϕ6 model revisited.