Outputs (115)

Statistical learning for fluid flows: Sparse Fourier divergence-free approximations (2021)
Journal Article
Espath, L., Kabanov, D., Kiessling, J., & Tempone, R. (2021). Statistical learning for fluid flows: Sparse Fourier divergence-free approximations. Physics of Fluids, 33(9), Article 097108. https://doi.org/10.1063/5.0064862

We reconstruct the velocity field of incompressible flows given a finite set of measurements. For the spatial approximation, we introduce the Sparse Fourier divergence-free approximation based on a discrete L2 projection. Within this physics-informed... Read More about Statistical learning for fluid flows: Sparse Fourier divergence-free approximations.

Approximate Maximum Likelihood Estimation for One-Dimensional Diffusions Observed on a Fine Grid (2021)
Journal Article
Lu, K. W., Paine, P. J., Preston, S. P., & Wood, A. T. A. (2022). Approximate Maximum Likelihood Estimation for One-Dimensional Diffusions Observed on a Fine Grid. Scandinavian Journal of Statistics, 49(3), 1085-1114. https://doi.org/10.1111/sjos.12556

We consider a one-dimensional stochastic differential equation that is observed on a fine grid of equally spaced time points. A novel approach for approximating the transition density of the stochastic differential equation is presented, which is bas... Read More about Approximate Maximum Likelihood Estimation for One-Dimensional Diffusions Observed on a Fine Grid.

Neural fields with rebound currents: Novel routes to patterning (2021)
Journal Article
Modhara, S., Lai, Y. M., Thul, R., & Coombes, S. (2021). Neural fields with rebound currents: Novel routes to patterning. SIAM Journal on Applied Dynamical Systems, 20(3), 1596-1620. https://doi.org/10.1137/20M1364710

The understanding of how spatio-temporal patterns of neural activity may arise in the cortex of the brain has advanced with the development and analysis of neural field models. Replicating this success for subcortical tissues, such as the thalamus, r... Read More about Neural fields with rebound currents: Novel routes to patterning.

Probing the nature of black holes: Deep in the mHz gravitational-wave sky (2021)
Journal Article
Baibhav, V., Barack, L., Berti, E., Bonga, B., Brito, R., Cardoso, V., Compère, G., Das, S., Doneva, D., Garcia-Bellido, J., Heisenberg, L., Hughes, S. A., Isi, M., Jani, K., Kavanagh, C., Lukes-Gerakopoulos, G., Mueller, G., Pani, P., Petiteau, A., Rajendran, S., …Zimmerman, A. (2021). Probing the nature of black holes: Deep in the mHz gravitational-wave sky. Experimental Astronomy, 51(3), 1385-1416. https://doi.org/10.1007/s10686-021-09741-9

Black holes are unique among astrophysical sources: they are the simplest macroscopic objects in the Universe, and they are extraordinary in terms of their ability to convert energy into electromagnetic and gravitational radiation. Our capacity to pr... Read More about Probing the nature of black holes: Deep in the mHz gravitational-wave sky.

Quantum estimation of coupling strengths in driven-dissipative optomechanics (2021)
Journal Article
Sala, K., Doicin, T., Armour, A. D., & Tufarelli, T. (2021). Quantum estimation of coupling strengths in driven-dissipative optomechanics. Physical Review A, 104(3), Article 033508. https://doi.org/10.1103/PhysRevA.104.033508

We exploit local quantum estimation theory to investigate the measurement of linear (g1) and quadratic (g2) coupling strengths in a driven-dissipative optomechanical system in the red-sideband regime. We consider model parameters inspired by recent e... Read More about Quantum estimation of coupling strengths in driven-dissipative optomechanics.

Class field theory, its three main generalisations, and applications (2021)
Journal Article
Fesenko, I. (2021). Class field theory, its three main generalisations, and applications. EMS Surveys in Mathematical Sciences, 8(1-2), 107-133. https://doi.org/10.4171/emss/45

This work presents branches of class field theory. Special and general approaches to class field theory, and their roles, are discussed. Three main generalisations of class field theory: higher class field theory, Langlands correspondences and anabel... Read More about Class field theory, its three main generalisations, and applications.

Ratios of Artin L-functions (2021)
Journal Article
Hochfilzer, L., & Oliver, T. (2022). Ratios of Artin L-functions. Journal of Number Theory, 236, 1-40. https://doi.org/10.1016/j.jnt.2021.07.007

We study the cancellation of zeros between the Riemann zeta function and certain Artin L-functions. To do so, we develop a converse theorem for Maass forms of Laplace eigenvalue 1/4 in which the twisted L-functions are not assumed to be entire. We do... Read More about Ratios of Artin L-functions.

Electrophysiological characterization of the hERG R56Q LQTS variant and targeted rescue by the activator RPR260243 (2021)
Journal Article
Kemp, J. M., Whittaker, D. G., Venkateshappa, R., Pang, Z. K., Johal, R., Sergeev, V., Tibbits, G. F., Mirams, G. R., & Claydon, T. W. (2021). Electrophysiological characterization of the hERG R56Q LQTS variant and targeted rescue by the activator RPR260243. Journal of General Physiology, 153(10), Article e202112923. https://doi.org/10.1085/jgp.202112923

Human Ether-à-go-go (hERG) channels contribute to cardiac repolarization, and inherited variants or drug block are associated with long QT syndrome type 2 (LQTS2) and arrhythmia. Therefore, hERG activator compounds present a therapeutic opportunity f... Read More about Electrophysiological characterization of the hERG R56Q LQTS variant and targeted rescue by the activator RPR260243.

A Bayesian nonparametric analysis of the 2003 outbreak of highly pathogenic avian influenza in the Netherlands (2021)
Journal Article
Seymour, R. G., Kypraios, T., O’Neill, P. D., & Hagenaars, T. J. (2021). A Bayesian nonparametric analysis of the 2003 outbreak of highly pathogenic avian influenza in the Netherlands. Journal of the Royal Statistical Society: Series C, 70(5), 1323-1343. https://doi.org/10.1111/rssc.12515

Infectious diseases on farms pose both public and animal health risks, so understanding how they spread between farms is crucial for developing disease control strategies to prevent future outbreaks. We develop novel Bayesian nonparametric methodolog... Read More about A Bayesian nonparametric analysis of the 2003 outbreak of highly pathogenic avian influenza in the Netherlands.

Extended Larché–Cahn framework for reactive Cahn–Hilliard multicomponent systems (2021)
Journal Article
Clavijo, S. P., Espath, L., & Calo, V. M. (2021). Extended Larché–Cahn framework for reactive Cahn–Hilliard multicomponent systems. Continuum Mechanics and Thermodynamics, 33(6), 2391-2410. https://doi.org/10.1007/s00161-021-01045-9

At high temperature and pressure, solid diffusion and chemical reactions between rock minerals lead to phase transformations. Chemical transport during uphill diffusion causes phase separation, that is, spinodal decomposition. Thus, to describe the c... Read More about Extended Larché–Cahn framework for reactive Cahn–Hilliard multicomponent systems.