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Effective bounds of linear series on algebraic varieties and arithmetic varieties (2015)
Journal Article
Yuan, X., & Zhang, T. (2018). Effective bounds of linear series on algebraic varieties and arithmetic varieties. Journal für die reine und angewandte Mathematik, 2018(736), 255-284. https://doi.org/10.1515/crelle-2015-0025

In this paper, we prove effective upper bounds for effective sections of line bundles on projective varieties and hermitian line bundles on arithmetic varieties in terms of the volumes. They are effective versions of the Hilbert–Samuel formula and th... Read More about Effective bounds of linear series on algebraic varieties and arithmetic varieties.

A variational approach to second order mean field games with density constraints: The stationary case (2015)
Journal Article
Mészáros, A. R., & Silva, F. J. (2015). A variational approach to second order mean field games with density constraints: The stationary case. Journal de Mathématiques Pures et Appliquées, 104(6), 1135-1159. https://doi.org/10.1016/j.matpur.2015.07.008

In this paper we study second order stationary Mean Field Game systems under density constraints on a bounded domain . We show the existence of weak solutions for power-like Hamiltonians with arbitrary order of growth. Our strategy is a variational o... Read More about A variational approach to second order mean field games with density constraints: The stationary case.

Correlation functions of the chiral stress-tensor multiplet in N=4 SYM (2015)
Journal Article
Chicherin, D., Doobary, R., Eden, B., Heslop, P., Korchemsky, G., Mason, L., & Sokatchev, E. (2015). Correlation functions of the chiral stress-tensor multiplet in N=4 SYM. Journal of High Energy Physics, 2015, Article 198. https://doi.org/10.1007/jhep06%282015%29198

We give a new method for computing the correlation functions of the chiral part of the stress-tensor supermultiplet that relies on the reformulation of N=4 SYM in twistor space. It yields the correlation functions in the Born approximation as a sum o... Read More about Correlation functions of the chiral stress-tensor multiplet in N=4 SYM.

Phase transitions for random geometric preferential attachment graphs (2015)
Journal Article
Jordan, J., & Wade, A. R. (2015). Phase transitions for random geometric preferential attachment graphs. Advances in Applied Probability, 47(2), 565-588. https://doi.org/10.1239/aap/1435236988

Vertices arrive sequentially in space and are joined to existing vertices at random according to a preferential rule combining degree and spatial proximity. We investigate phase transitions in the resulting graph as the relative strengths of these tw... Read More about Phase transitions for random geometric preferential attachment graphs.

Towards a nonsupersymmetric string phenomenology (2015)
Journal Article
Abel, S., Dienes, K., & Mavroudi, E. (2015). Towards a nonsupersymmetric string phenomenology. Physical Review D, 91(12), Article 126014. https://doi.org/10.1103/physrevd.91.126014

Over the past three decades, considerable effort has been devoted to studying the rich and diverse phenomenologies of heterotic strings exhibiting spacetime supersymmetry. Unfortunately, during this same period, there has been relatively little work... Read More about Towards a nonsupersymmetric string phenomenology.

Soft Theorems from Conformal Field Theory (2015)
Journal Article
Lipstein, A. (2015). Soft Theorems from Conformal Field Theory. Journal of High Energy Physics, 2015(6), Article 166. https://doi.org/10.1007/jhep06%282015%29166

Strominger and collaborators recently proposed that soft theorems for gauge and gravity amplitudes can be interpreted as Ward identities of a 2d CFT at null infinity. In this paper, we will consider a specific realization of this CFT known as ambitwi... Read More about Soft Theorems from Conformal Field Theory.

Exchange of stability in Cattaneo–LTNE porous convection (2015)
Journal Article
Straughan, B. (2015). Exchange of stability in Cattaneo–LTNE porous convection. International Journal of Heat and Mass Transfer, 89, 792-798. https://doi.org/10.1016/j.ijheatmasstransfer.2015.05.084

We investigate a problem of convection in local thermal non-equilibrium (LTNE) porous media. This is where the solid skeleton and the fluid may have different temperatures. However, due to increasing interest in thermal wave motion, especially at mic... Read More about Exchange of stability in Cattaneo–LTNE porous convection.

The equivariant A-twist and gauged linear sigma models on the two-sphere (2015)
Journal Article
Closset, C., Cremonesi, S., & Park, D. S. (2015). The equivariant A-twist and gauged linear sigma models on the two-sphere. Journal of High Energy Physics, 2015(06), Article 076. https://doi.org/10.1007/jhep06%282015%29076

We study two-dimensional N=(2,2)N=(2,2) supersymmetric gauged linear sigma models (GLSM) on the Ω-deformed sphere, SΩ2, which is a one-parameter deformation of the A-twisted sphere. We provide an exact formula for the SΩ2 supersymmetric correlation f... Read More about The equivariant A-twist and gauged linear sigma models on the two-sphere.

Arithmetic, zeros, and nodal domains on the sphere (2015)
Journal Article
Magee, M. (2015). Arithmetic, zeros, and nodal domains on the sphere. Communications in Mathematical Physics, 338(3), 919-951. https://doi.org/10.1007/s00220-015-2391-z

We obtain lower bounds for the number of nodal domains of Hecke eigenfunctions on the sphere. Assuming the generalized Lindelöf hypothesis we prove that the number of nodal domains of any Hecke eigenfunction grows with the eigenvalue of the Laplacian... Read More about Arithmetic, zeros, and nodal domains on the sphere.

Timestepping schemes for the 3d Navier-Stokes equations (2015)
Journal Article
Hong, Y., & Wirosoetisno, D. (2015). Timestepping schemes for the 3d Navier-Stokes equations. Applied Numerical Mathematics, 96, 153-164. https://doi.org/10.1016/j.apnum.2015.05.006

It is well known that the (exact) solutions of the 3d Navier–Stokes equations remain bounded for all time if the initial data and the forcing are sufficiently small relative to the viscosity. They also remain bounded for a finite time for arbitrary i... Read More about Timestepping schemes for the 3d Navier-Stokes equations.

Moduli space dynamics of noncommutative U(2) instantons (2015)
Journal Article
Iskauskas, A., & Smith, D. J. (2015). Moduli space dynamics of noncommutative U(2) instantons. Journal of High Energy Physics, 2015, Article 036. https://doi.org/10.1007/jhep06%282015%29036

We consider the low energy dynamics of charge two instantons on noncommutative ℝ NC 2  × ℝ NC 2 in U(2) 5-dimensional super-Yang-Mills, using the Manton approximation for slow-moving instantons to calculate the moduli space metric. By employing the A... Read More about Moduli space dynamics of noncommutative U(2) instantons.

Physical role of topological constraints in localized magnetic relaxation (2015)
Journal Article
Yeates, A., Russell, A., & Hornig, G. (2015). Physical role of topological constraints in localized magnetic relaxation. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 471(2178), Article 20150012. https://doi.org/10.1098/rspa.2015.0012

Predicting the final state of turbulent plasma relaxation is an important challenge, both in astro-physical plasmas such as the Sun's corona and in controlled thermonuclear fusion. Recent numerical simulations of plasma relaxation with braided magnet... Read More about Physical role of topological constraints in localized magnetic relaxation.

Pinning of interfaces in a random elastic medium and logarithmic lattice embeddings in percolation (2015)
Journal Article
Dondl, P. W., Scheutzow, M., & Throm, S. (2015). Pinning of interfaces in a random elastic medium and logarithmic lattice embeddings in percolation. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 145(3), 481-512. https://doi.org/10.1017/s0308210512001291

For a model of a driven interface in an elastic medium with random obstacles we prove the existence of a stationary positive supersolution at non-vanishing driving force. This shows the emergence of a rate-independent hysteresis through the interacti... Read More about Pinning of interfaces in a random elastic medium and logarithmic lattice embeddings in percolation.

Modelling Uncertainty in Pore Pressure Using Dynamic Bayesian Networks (2015)
Presentation / Conference Contribution
Oughton, R., Wooff, D., Swarbrick, R., & Hobbs, R. (2015). Modelling Uncertainty in Pore Pressure Using Dynamic Bayesian Networks. . https://doi.org/10.3997/2214-4609.201413296

Pore pressure prediction is vital when drilling a well, as unexpected overpressure can cause drilling challenges and uncontrolled hydrocarbon leakage. Predictions often use porosity-based techniques, relying on an idealised compaction trend and using... Read More about Modelling Uncertainty in Pore Pressure Using Dynamic Bayesian Networks.

Imprecise inference for warranty contract analysis (2015)
Journal Article
Utkin, L., Coolen, F., & Gurov, S. (2015). Imprecise inference for warranty contract analysis. Reliability Engineering & System Safety, 138, 31-39. https://doi.org/10.1016/j.ress.2015.01.011

This paper presents an investigation into generalised Bayesian analysis of warranty contracts, using sets of prior distributions within the theory of imprecise probability. Explicit expressions are derived for optimal lower and upper bounds for the e... Read More about Imprecise inference for warranty contract analysis.

Topological aspects of generalized gravitational entropy (2015)
Journal Article
Haehl, F. M., Hartman, T., Marolf, D., Maxfield, H., & Rangamani, M. (2015). Topological aspects of generalized gravitational entropy. Journal of High Energy Physics, 2015(5), Article 23. https://doi.org/10.1007/jhep05%282015%29023

The holographic prescription for computing entanglement entropy requires that the bulk extremal surface, whose area encodes the amount of entanglement, satisfies a homology constraint. Usually this is stated as the requirement of a (spacelike) interp... Read More about Topological aspects of generalized gravitational entropy.

Topological phase transitions in the gauged BPS baby Skyrme model (2015)
Journal Article
Adam, C., Naya, C., Romanczukiewicz, T., Sanchez-Guillen, J., & Wereszczynski, A. (2015). Topological phase transitions in the gauged BPS baby Skyrme model. Journal of High Energy Physics, 2015(5), Article 155. https://doi.org/10.1007/jhep05%282015%29155

We demonstrate that the gauged BPS baby Skyrme model with a double vacuum potential allows for phase transitions from a non-solitonic to a solitonic phase, where the latter corresponds to a ferromagnetic liquid. Such a transition can be generated by... Read More about Topological phase transitions in the gauged BPS baby Skyrme model.