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Cosmological particle production at strong coupling (2015)
Journal Article
Rangamani, M., Rozali, M., & Van Raamsdonk, M. (2015). Cosmological particle production at strong coupling. Journal of High Energy Physics, 2015(9), Article 213. https://doi.org/10.1007/jhep09%282015%29213

We study the dynamics of a strongly-coupled quantum field theory in a cosmological spacetime using the holographic AdS/CFT correspondence. Specifically we consider a confining gauge theory in an expanding FRWuniverse and track the evolution of the st... Read More about Cosmological particle production at strong coupling.

Alice and Bob in an expanding spacetime (2015)
Journal Article
Alexander, H., de Souza, G., Mansfield, P., & Sampaio, M. (2015). Alice and Bob in an expanding spacetime. European Physical Society Letters, 111(6), Article 60001. https://doi.org/10.1209/0295-5075/111/60001

We investigate the teleportation of a qubit between two observers Alice and Bob in an asymptotically flat Robertson-Walker expanding spacetime. We use scalar or fermionic field modes inside Alice's and Bob's ideal cavities and show the degradation of... Read More about Alice and Bob in an expanding spacetime.

On the Broadhurst-Kreimer generating series for multiple zeta values (2015)
Book Chapter
Carr, S., Gangl, H., & Schneps, L. (2015). On the Broadhurst-Kreimer generating series for multiple zeta values. In L. Álvarez-Cónsul, J. Burgos Gil, & K. Ebrahimi-Fard (Eds.), Feynman amplitudes, periods, and motives : international research conference on periods and motives : a modern perspective on renormalization : July 2-6, 2012, Institute de Ciencias Matemáticas, Madrid, Spain (57-77). American Mathematical Society. https://doi.org/10.1090/conm/648/12998

Connection versus metric description for non-AdS solutions in higher-spin theories (2015)
Journal Article
Lei, Y., & Ross, S. F. (2015). Connection versus metric description for non-AdS solutions in higher-spin theories. Classical and Quantum Gravity, 32(18), Article 185005. https://doi.org/10.1088/0264-9381/32/18/185005

We consider recently-constructed solutions of three-dimensional ${SL}(N,{\mathbb{R}})\times {SL}(N,{\mathbb{R}})$ Chern–Simons theories with non-relativistic symmetries. Solutions of the Chern–Simons theories can generically be mapped to solutions of... Read More about Connection versus metric description for non-AdS solutions in higher-spin theories.

Supersymmetric Casimir energy and the anomaly polynomial (2015)
Journal Article
Bobev, N., Bullimore, M., & Kim, H. (2015). Supersymmetric Casimir energy and the anomaly polynomial. Journal of High Energy Physics, 2015(09), Article 142. https://doi.org/10.1007/jhep09%282015%29142

We conjecture that for superconformal field theories in even dimensions, the supersymmetric Casimir energy on a space with topology S 1 × S D−1 is equal to an equivariant integral of the anomaly polynomial. The equivariant integration is defined with... Read More about Supersymmetric Casimir energy and the anomaly polynomial.

Resurgence of the cusp anomalous dimension (2015)
Journal Article
Dorigoni, D., & Hatsuda, Y. (2015). Resurgence of the cusp anomalous dimension. Journal of High Energy Physics, 2015(09), Article 138. https://doi.org/10.1007/jhep09%282015%29138

We revisit the strong coupling limit of the cusp anomalous dimension in planar N=4N=4 super Yang-Mills theory. It is known that the strong coupling expansion is asymptotic and non-Borel summable. As a consequence, the cusp anomalous dimension receive... Read More about Resurgence of the cusp anomalous dimension.

Holographic mutual information in global Vaidya-BTZ spacetime (2015)
Journal Article
Ziogas, V. (2015). Holographic mutual information in global Vaidya-BTZ spacetime. Journal of High Energy Physics, 2015(9), Article 114. https://doi.org/10.1007/jhep09%282015%29114

We investigate the evolution of the mutual information between two spatial subsystems in a compact 1+1 dimensional CFT after a quantum quench. To this end, we use the dual holographic process, given by the 2+1 dimensional Vaidya-BTZ spacetime in glob... Read More about Holographic mutual information in global Vaidya-BTZ spacetime.

An Unusual Continued Fraction (2015)
Journal Article
Badziahin, D., & Shallit, J. (2016). An Unusual Continued Fraction. Proceedings of the American Mathematical Society, 144(5), 1887-1896. https://doi.org/10.1090/proc/12848

We consider the real number σ with continued fraction expansion [a0, a1, a2,...] = [1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1, 16,...], where ai is the largest power of 2 dividing i + 1. We show that the irrationality measure of σ2 is at least 8/3.... Read More about An Unusual Continued Fraction.

Resolvent Estimates for High-Contrast Elliptic Problems with Periodic Coefficients (2015)
Journal Article
Cherednichenko, K., & Cooper, S. (2016). Resolvent Estimates for High-Contrast Elliptic Problems with Periodic Coefficients. Archive for Rational Mechanics and Analysis, 219(3), 1061-1086. https://doi.org/10.1007/s00205-015-0916-4

We study the asymptotic behaviour of the resolvents (Aε+I)−1 of elliptic second-order differential operators Aε in Rd with periodic rapidly oscillating coefficients, as the period ε goes to zero. The class of operators covered by our analysis include... Read More about Resolvent Estimates for High-Contrast Elliptic Problems with Periodic Coefficients.

Quantifying uncertainty in pore pressure estimation using Bayesian networks, with application to use of an offset well (2015)
Report
Oughton, R., Wooff, D., Hobbs, R., O'Connor, S., & Swarbrick, R. (2015). Quantifying uncertainty in pore pressure estimation using Bayesian networks, with application to use of an offset well. [No known commissioning body]

Pore pressure estimation is a crucial yet difficult problem in the oil industry. If unexpected overpressure is encountered while drilling it can result in costly challenges and leaked hydrocarbons. Prediction methods often use empirical porosity-base... Read More about Quantifying uncertainty in pore pressure estimation using Bayesian networks, with application to use of an offset well.

Instanton Solutions from Abelian Sinh-Gordon and Tzitzeica Vortices (2015)
Journal Article
Contatto, F., & Dorigoni, D. (2015). Instanton Solutions from Abelian Sinh-Gordon and Tzitzeica Vortices. Journal of Geometry and Physics, 98, 429-445. https://doi.org/10.1016/j.geomphys.2015.08.021

We study the Abelian Higgs vortex solutions to the sinh-Gordon equation and the elliptic Tzitzeica equation. Starting from these particular vortices, we construct solutions to the Taubes equation with higher vortex number, on surfaces with conical si... Read More about Instanton Solutions from Abelian Sinh-Gordon and Tzitzeica Vortices.

Magnetothermoelectric response from holography (2015)
Journal Article
Blake, M., Donos, A., & Lohitsiri, N. (2015). Magnetothermoelectric response from holography. Journal of High Energy Physics, 2015(8), Article 124. https://doi.org/10.1007/jhep08%282015%29124

In this note we study the effects of a magnetic field on transport using holographic models with broken translational invariance. We show that, after carefully sub-tracting off non-trivial magnetisation currents, it is possible to express the DC tran... Read More about Magnetothermoelectric response from holography.

Spectral distances on graphs (2015)
Journal Article
Gu, J., Hua, B., & Liu, S. (2015). Spectral distances on graphs. Discrete Applied Mathematics, 190-191, 56-74. https://doi.org/10.1016/j.dam.2015.04.011

By assigning a probability measure via the spectrum of the normalized Laplacian to each graph and using Lp Wasserstein distances between probability measures, we define the corresponding spectral distances dp on the set of all graphs. This approach c... Read More about Spectral distances on graphs.

Finite dimensionality of the attractor for the hyperbolic Cahn-Hilliard-Oono equation in R3 (2015)
Journal Article
Savostianov, A., & Zelik, S. (2016). Finite dimensionality of the attractor for the hyperbolic Cahn-Hilliard-Oono equation in R3. Mathematical Methods in the Applied Sciences, 39(5), 1254-1267. https://doi.org/10.1002/mma.3569

In this paper, we continue the study of the hyperbolic relaxation of the Cahn–Hilliard–Oono equation with the sub-quintic non-linearity in the whole space math formula started in our previous paper and verify that under the natural assumptions on the... Read More about Finite dimensionality of the attractor for the hyperbolic Cahn-Hilliard-Oono equation in R3.