All Outputs (211)

Bayesian Emulation and History Matching of JUNE (2022)
Journal Article
Vernon, I., Owen, J., Aylett-Bullock, J., Cuestra-Lazaro, C., Frawley, J., Quera-Bofarull, A., …Krauss, F. (2022). Bayesian Emulation and History Matching of JUNE. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 380(2233), Article 20220039. https://doi.org/10.1098/rsta.2022.0039

We analyse JUNE: a detailed model of Covid-19 transmission with high spatial and demographic resolution, developed as part of the RAMP initiative. JUNE requires substantial computational resources to evaluate, making model calibration and general unc... Read More about Bayesian Emulation and History Matching of JUNE.

A variational approach to first order kinetic Mean Field Games with local couplings (2022)
Journal Article
Griffin-Pickering, M., & Mészáros, A. R. (2022). A variational approach to first order kinetic Mean Field Games with local couplings. Communications in Partial Differential Equations, 47(10), 1945-2022. https://doi.org/10.1080/03605302.2022.2101003

First order kinetic mean field games formally describe the Nash equilibria of deterministic differential games where agents control their acceleration, asymptotically in the limit as the number of agents tends to infinity. The known results for the w... Read More about A variational approach to first order kinetic Mean Field Games with local couplings.

Automated driving for global non-potential simulations of the solar corona (2022)
Journal Article
Yeates, A., & Bhowmik, P. (2022). Automated driving for global non-potential simulations of the solar corona. Astrophysical Journal, 935(1), Article 13. https://doi.org/10.3847/1538-4357/ac7de4

We describe a new automated technique for active region emergence in coronal magnetic field models, based on the inversion of the electric field locally from a single line-of-sight magnetogram for each region. The technique preserves the arbitrary sh... Read More about Automated driving for global non-potential simulations of the solar corona.

Foundations for temporal reasoning using lower previsions without a possibility space (2022)
Book Chapter
Troffaes, M. C., & Goldstein, M. (2022). Foundations for temporal reasoning using lower previsions without a possibility space. In T. Augustin, F. Gagliardi Cozman, & G. Wheeler (Eds.), Reflections on the Foundations of Probability and Statistics: Essays in Honor of Teddy Seidenfeld (69-96). (1). Springer Verlag. https://doi.org/10.1007/978-3-031-15436-2_4

We introduce a new formal mathematical framework for probability theory, taking random quantities to be the fundamental objects of interest, without reference to a possibility space, in spirit of de Finetti’s treatment of probability, Goldstein’s Bay... Read More about Foundations for temporal reasoning using lower previsions without a possibility space.

Reaction–Diffusion Models for a Class of Infinite-Dimensional Nonlinear Stochastic Differential Equations (2022)
Journal Article
da Costa, C., Freitas Paulo da Costa, B., & Valesin, D. (2023). Reaction–Diffusion Models for a Class of Infinite-Dimensional Nonlinear Stochastic Differential Equations. Journal of Theoretical Probability, 36, 1059–1087. https://doi.org/10.1007/s10959-022-01187-9

We establish the existence of solutions to a class of nonlinear stochastic differential equations of reaction–diffusion type in an infinite-dimensional space, with diffusion corresponding to a given transition kernel. The solution obtained is the sca... Read More about Reaction–Diffusion Models for a Class of Infinite-Dimensional Nonlinear Stochastic Differential Equations.

Fixed and Distributed Gene Expression Time Delays in Reaction-Diffusion Systems (2022)
Journal Article
Sargood, A., Gaffney, E. A., & Krause, A. L. (2022). Fixed and Distributed Gene Expression Time Delays in Reaction-Diffusion Systems. Bulletin of Mathematical Biology, 84(9), Article 98. https://doi.org/10.1007/s11538-022-01052-0

Time delays, modelling the process of intracellular gene expression, have been shown to have important impacts on the dynamics of pattern formation in reaction-diffusion systems. In particular, past work has shown that such time delays can shrink the... Read More about Fixed and Distributed Gene Expression Time Delays in Reaction-Diffusion Systems.

Going beyond ER=EPR in the SYK model (2022)
Journal Article
Berkooz, M., Brukner, N., Ross, S. F., & Watanabe, M. (2022). Going beyond ER=EPR in the SYK model. Journal of High Energy Physics, 2022(8), Article 51. https://doi.org/10.1007/jhep08%282022%29051

We discuss generalizations of the TFD to a density matrix on the doubled Hilbert space. We suggest that a semiclassical wormhole corresponds to a certain class of such density matrices, and specify how they are constructed. Different semi-classical p... Read More about Going beyond ER=EPR in the SYK model.

Effective field theories and cosmological scattering equations (2022)
Journal Article
Armstrong, C., Gomez, H., Jusinskas, R. L., Lipstein, A., & Mei, J. (2022). Effective field theories and cosmological scattering equations. Journal of High Energy Physics, 2022(8), Article 54. https://doi.org/10.1007/jhep08%282022%29054

We propose worldsheet formulae for correlators of the massive non-linear sigma model (NLSM), scalar Dirac-Born-Infeld (DBI), and special Galileon (sGal) theories in de Sitter momentum space in terms of the recently proposed cosmological scattering eq... Read More about Effective field theories and cosmological scattering equations.

Notes on the dynamics of noncommutative U(2) and commutative SU(3) instantons (2022)
Journal Article
Smith, D. J., Robson, C. J., & Farrow, J. A. (2022). Notes on the dynamics of noncommutative U(2) and commutative SU(3) instantons. Physical Review D, 106(4), Article 045001. https://doi.org/10.1103/physrevd.106.045001

We examine the dynamics of noncommutative instantons of instanton number 2 and commutative instantons of instanton number 3 in 5D super Yang-Mills theory. We begin by detailing the construction of the 1=4-Bogamolyni-Prasad-Somerfeldt instanton soluti... Read More about Notes on the dynamics of noncommutative U(2) and commutative SU(3) instantons.

Completely quantum neural networks (2022)
Journal Article
Abel, S., Criado, J. C., & Spannowsky, M. (2022). Completely quantum neural networks. Physical Review A, 106(2), Article 022601. https://doi.org/10.1103/physreva.106.022601

Artificial neural networks are at the heart of modern deep learning algorithms. We describe how to embed and train a general neural network in a quantum annealer without introducing any classical element in training. To implement the network on a sta... Read More about Completely quantum neural networks.

New meromorphic CFTs from cosets (2022)
Journal Article
Das, A., Gowdigere, C. N., & Mukhi, S. (2022). New meromorphic CFTs from cosets. Journal of High Energy Physics, 2022(7), Article 152. https://doi.org/10.1007/jhep07%282022%29152

In recent years it has been understood that new rational CFTs can be discovered by applying the coset construction to meromorphic CFTs. Here we turn this approach around and show that the coset construction, together with the classification of meromo... Read More about New meromorphic CFTs from cosets.

Three-dimensional Alexandrov spaces: A survey (2022)
Book Chapter
Galaz-García, F., & Núñez-Zimbrón, J. (2022). Three-dimensional Alexandrov spaces: A survey. In G. Arizmendi Echegaray, L. Hernández-Lamoneda, & R. Herrera Guzmán (Eds.), Recent Advances in Alexandrov Geometry (49-88). Springer Verlag. https://doi.org/10.1007/978-3-030-99298-9_2

We survey several results concerning the geometry and topology of threedimensional Alexandrov spaces with the aim of providing a panoramic and up-to-date view of the subject. In particular we present the classification of positively and nonnegatively... Read More about Three-dimensional Alexandrov spaces: A survey.

3d N = 4 Gauge Theories on an Elliptic Curve (2022)
Journal Article
Bullimore, M., & Zhang, D. (2022). 3d N = 4 Gauge Theories on an Elliptic Curve. SciPost Physics, 13(1), Article 005. https://doi.org/10.21468/scipostphys.13.1.005

This paper studies 3d N = 4 supersymmetric gauge theories on an elliptic curve, with the aim to provide a physical realisation of recent constructions in equivariant elliptic cohomology of symplectic resolutions. We first study the Berry connection f... Read More about 3d N = 4 Gauge Theories on an Elliptic Curve.

Turing and wave instabilities in hyperbolic reaction–diffusion systems: The role of second-order time derivatives and cross-diffusion terms on pattern formation (2022)
Journal Article
Ritchie, J. S., Krause, A. L., & Van Gorder, R. A. (2022). Turing and wave instabilities in hyperbolic reaction–diffusion systems: The role of second-order time derivatives and cross-diffusion terms on pattern formation. Annals of Physics, 444, Article 169033. https://doi.org/10.1016/j.aop.2022.169033

Hyperbolic reaction-diffusion equations have recently attracted attention both for their application to a variety of biological and chemical phenomena, and for their distinct features in terms of propagation speed and novel instabilities not present... Read More about Turing and wave instabilities in hyperbolic reaction–diffusion systems: The role of second-order time derivatives and cross-diffusion terms on pattern formation.

Application of evidence-based methods to construct mechanism-driven chemical assessment frameworks (2022)
Journal Article
Hoffmann, S., Aiassa, E., Angrish, M., Beausoleil, C., Bois, F., Ciccolallo, L., …Tsaioun, K. (2022). Application of evidence-based methods to construct mechanism-driven chemical assessment frameworks. ALTEX - Alternatives to Animal Experimentation, 39(3), 499-518. https://doi.org/10.14573/altex.2202141

The workshop titled “Application of evidence-based methods to construct mechanism-driven chemical assessment frameworks” was co-organized by the Evidence-based Toxicology Collaboration and the European Food Safety Authority (EFSA) and hosted by EFSA... Read More about Application of evidence-based methods to construct mechanism-driven chemical assessment frameworks.

Refinement of anomalous dispersion correction parameters in single-crystal structure determinations (2022)
Journal Article
Meurer, F., Dolomanov, O. V., Hennig, C., Peyerimhoff, N., Kleemiss, F., Puschmann, H., & Bodensteiner, M. (2022). Refinement of anomalous dispersion correction parameters in single-crystal structure determinations. IUCrJ, 9(5), https://doi.org/10.1107/s2052252522006844

Correcting for anomalous dispersion is part of any refinement of an X-ray dif­fraction crystal structure determination. The procedure takes the inelastic scattering in the diffraction experiment into account. This X-ray absorption effect is specific... Read More about Refinement of anomalous dispersion correction parameters in single-crystal structure determinations.

Ice Model Calibration using Semi-continuous Spatial Data (2022)
Journal Article
Chang, W., Konomi, B., Karagiannis, G., Guan, Y., & Haran, M. (2022). Ice Model Calibration using Semi-continuous Spatial Data. Annals of Applied Statistics, 16(3), 1937-1961. https://doi.org/10.1214/21-aoas1577

Rapid changes in Earth’s cryosphere caused by human activity can lead to significant environmental impacts. Computer models provide a useful tool for understanding the behavior and projecting the future of Arctic and Antarctic ice sheets. However, th... Read More about Ice Model Calibration using Semi-continuous Spatial Data.

Iterative importance sampling with Markov chain Monte Carlo sampling in robust Bayesian analysis (2022)
Journal Article
Raices Cruz, I., Lindström, J., Troffaes, M. C., & Sahlin, U. (2022). Iterative importance sampling with Markov chain Monte Carlo sampling in robust Bayesian analysis. Computational Statistics & Data Analysis, 176, Article 107558. https://doi.org/10.1016/j.csda.2022.107558

Bayesian inference under a set of priors, called robust Bayesian analysis, allows for estimation of parameters within a model and quantification of epistemic uncertainty in quantities of interest by bounded (or imprecise) probability. Iterative impor... Read More about Iterative importance sampling with Markov chain Monte Carlo sampling in robust Bayesian analysis.

Cosmological scattering equations at tree-level and one-loop (2022)
Journal Article
Gomez, H., Jusinskas, R. L., & Lipstein, A. (2022). Cosmological scattering equations at tree-level and one-loop. Journal of High Energy Physics, 2022(7), Article 4. https://doi.org/10.1007/jhep07%282022%29004

We recently proposed a formula for tree-level n-point correlators of massive phi^4 theory in de Sitter momentum space which consists of an integral over n punctures on the Riemann sphere and differential operators in the future boundary dubbed the co... Read More about Cosmological scattering equations at tree-level and one-loop.

A characterisation of the continuum Gaussian free field in arbitrary dimensions (2022)
Journal Article
Aru, J., & Powell, E. (2022). A characterisation of the continuum Gaussian free field in arbitrary dimensions. Journal de l’École polytechnique — Mathématiques, 9, 1101-1120. https://doi.org/10.5802/jep.201

e prove that under certain mild moment and continuity assumptions, the d-dimensional continuum Gaussian free field is the only stochastic process satisfying the usual domain Markov property and a scaling assumption. Our proof is based on a decomposit... Read More about A characterisation of the continuum Gaussian free field in arbitrary dimensions.