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Towards 2+4 formulation of M5-brane (2015)
Journal Article
Ko, S., & Vanichchapongjaroen, P. (2015). Towards 2+4 formulation of M5-brane. Journal of High Energy Physics, 2015(12), 1-26. https://doi.org/10.1007/jhep12%282015%29170

We present an attempt to formulate an action for the worldvolume theory of a single M5-brane, based on the splitting of the six worldvolume directions into 2+4, which breaks manifest Lorentz invariance from SO(1; 5) to SO(1; 1) SO(4). To this end, an... Read More about Towards 2+4 formulation of M5-brane.

A fast persistence-based segmentation of noisy 2D clouds with provable guarantees (2015)
Journal Article
Kurlin, V. (2016). A fast persistence-based segmentation of noisy 2D clouds with provable guarantees. Pattern Recognition Letters, 83(Part 1), 3-12. https://doi.org/10.1016/j.patrec.2015.11.025

We design a new fast algorithm to automatically segment a 2D cloud of points into persistent regions. The only input is a dotted image without any extra parameters, say a scanned black-and-white map with almost closed curves or any image with detecte... Read More about A fast persistence-based segmentation of noisy 2D clouds with provable guarantees.

Towards a landscape scale management of pesticides: ERA using changes in modelled occupancy and abundance to assess long-term population impacts of pesticides (2015)
Journal Article
Topping, C. J., Craig, P. S., de Jong, F., Klein, M., Laskowski, R., Manachini, B., …van der Linden, T. (2015). Towards a landscape scale management of pesticides: ERA using changes in modelled occupancy and abundance to assess long-term population impacts of pesticides. Science of the Total Environment, 537, 159-169. https://doi.org/10.1016/j.scitotenv.2015.07.152

Pesticides are regulated in Europe and this process includes an environmental risk assessment (ERA) for non-target arthropods (NTA). Traditionally a non-spatial or field trial assessment is used. In this study we exemplify the introduction of a spati... Read More about Towards a landscape scale management of pesticides: ERA using changes in modelled occupancy and abundance to assess long-term population impacts of pesticides.

Navier-Stokes equations on black hole horizons and DC thermoelectric conductivity (2015)
Journal Article
Donos, A., & Gauntlett, J. P. (2015). Navier-Stokes equations on black hole horizons and DC thermoelectric conductivity. Physical Review D, 92(12), Article 121901(R). https://doi.org/10.1103/physrevd.92.121901

Within the context of the AdS/CFT correspondence, we show that the DC thermoelectric conductivity can be obtained by solving the linearized, time-independent, and forced Navier-Stokes equations on the black hole horizon for an incompressible and char... Read More about Navier-Stokes equations on black hole horizons and DC thermoelectric conductivity.

A Lagrangian for self-dual strings (2015)
Journal Article
Niarchos, V. (2015). A Lagrangian for self-dual strings. Journal of High Energy Physics, 2015(12), Article 060. https://doi.org/10.1007/jhep12%282015%29060

We propose a Lagrangian for the low-energy theory that resides at the (1 + 1)-dimensional intersection of N semi-infinite M2-branes ending orthogonally on M M5-branes in R1,2×C4/ZkR1,2×C4/Zk (for arbitrary positive integers N, M, k). We formulate thi... Read More about A Lagrangian for self-dual strings.

Casson towers and slice links (2015)
Journal Article
Cha, J. C., & Powell, M. (2016). Casson towers and slice links. Inventiones Mathematicae, 205(2), 413-457. https://doi.org/10.1007/s00222-015-0639-z

We prove that a Casson tower of height 4 contains a flat embedded disc bounded by the attaching circle, and we prove disc embedding results for height 2 and 3 Casson towers which are embedded into a 4-manifold, with some additional fundamental group... Read More about Casson towers and slice links.

Superconformal partial waves in Grassmannian field theories (2015)
Journal Article
Doobary, R., & Heslop, P. (2015). Superconformal partial waves in Grassmannian field theories. Journal of High Energy Physics, 2015(12), Article 159. https://doi.org/10.1007/jhep12%282015%29159

We derive superconformal partial waves for all scalar four-point functions on a super Grassmannian space Gr(m|n, 2m|2n) for all m, n. This family of four-point functions includes those of all (arbitrary weight) half BPS operators in both N=4N=4 SYM (... Read More about Superconformal partial waves in Grassmannian field theories.

On the algebraicity of special L-values of Hermitian modular forms (2015)
Journal Article
Bouganis, A. (2015). On the algebraicity of special L-values of Hermitian modular forms. Documenta Mathematica, 20, 1293-1329

In this work we prove some results on the algebraicity of special L-values attached to Hermitian modular forms. Our work is based on techniques developed by Goro Shimura in his book “Arithmeticity in the Theory of Automorphic Forms”, and our results... Read More about On the algebraicity of special L-values of Hermitian modular forms.

Q-operators for the open Heisenberg spin chain (2015)
Journal Article
Frassek, R., & Szécsényi, I. M. (2015). Q-operators for the open Heisenberg spin chain. Nuclear Physics B, 901, 229-248. https://doi.org/10.1016/j.nuclphysb.2015.10.010

We construct Q-operators for the open spin-View the MathML source XXX Heisenberg spin chain with diagonal boundary matrices. The Q-operators are defined as traces over an infinite-dimensional auxiliary space involving novel types of reflection operat... Read More about Q-operators for the open Heisenberg spin chain.

Directional uniformities, periodic points, and entropy (2015)
Journal Article
Miles, R., & Ward, T. (2015). Directional uniformities, periodic points, and entropy. Discrete and Continuous Dynamical Systems - Series B, 20(10), 3525-3545. https://doi.org/10.3934/dcdsb.2015.20.3525

Dynamical systems generated by d≥2 commuting homeomorphisms (topological Z d -actions) contain within them structures on many scales, and in particular contain many actions of Z k for 1≤k≤d . Familiar dynamical invariants for homeomorphisms, like ent... Read More about Directional uniformities, periodic points, and entropy.

Conformal invariance in the long-range Ising model (2015)
Journal Article
Paulos, M., Rychkov, S., van Rees, B., & Zan, B. (2016). Conformal invariance in the long-range Ising model. Nuclear Physics B, 902, 246-291. https://doi.org/10.1016/j.nuclphysb.2015.10.018

We consider the question of conformal invariance of the long-range Ising model at the critical point. The continuum description is given in terms of a nonlocal field theory, and the absence of a stress tensor invalidates all of the standard arguments... Read More about Conformal invariance in the long-range Ising model.

On exact correlation functions in SU(N) N=2 superconformal QCD (2015)
Journal Article
Baggio, M., Niarchos, V., & Papadodimas, K. (2015). On exact correlation functions in SU(N) N=2 superconformal QCD. Journal of High Energy Physics, 2015(11), Article 198. https://doi.org/10.1007/jhep11%282015%29198

We consider the exact coupling constant dependence of extremal correlation functions of N=2N=2 chiral primary operators in 4d N=2N=2 superconformal gauge theories with gauge group SU(N) and Nf = 2N massless fundamental hypermultiplets. The 2- and 3-p... Read More about On exact correlation functions in SU(N) N=2 superconformal QCD.

On the Subadditivity of the Entropy on the Sphere (2015)
Journal Article
Einav, A. (2016). On the Subadditivity of the Entropy on the Sphere. Journal of Geometric Analysis, 26(4), 3098–3128. https://doi.org/10.1007/s12220-015-9664-9

We present a refinement of a known entropic inequality on the sphere, finding suitable conditions under which the uniform probability measure on the sphere behaves asymptomatically like the Gaussian measure on RN with respect to the entropy. Addition... Read More about On the Subadditivity of the Entropy on the Sphere.

Q-branes (2015)
Journal Article
Abel, S., & Kehagias, A. (2015). Q-branes. Journal of High Energy Physics, 2015(11), Article 096. https://doi.org/10.1007/jhep11%282015%29096

Non-topological solitons (Q-balls) are discussed in some stringy settings. Our main result is that the dielectric D-brane system of Myers admits non-abelian Q-ball solutions on their world-volume, in which N Dp-branes relax to the standard dielectric... Read More about Q-branes.

Sample size considerations for the external validation of a multivariable prognostic model: a resampling study (2015)
Journal Article
Collins, G. S., Ogundimu, E. O., & Altman, D. G. (2016). Sample size considerations for the external validation of a multivariable prognostic model: a resampling study. Statistics in Medicine, 35(2), 214-226. https://doi.org/10.1002/sim.6787

After developing a prognostic model, it is essential to evaluate the performance of the model in samples independent from those used to develop the model, which is often referred to as external validation. However, despite its importance, very little... Read More about Sample size considerations for the external validation of a multivariable prognostic model: a resampling study.

Centroidal power diagrams, Lloyd's algorithm and applications to optimal location problems (2015)
Journal Article
Bourne, D., & Roper, S. (2015). Centroidal power diagrams, Lloyd's algorithm and applications to optimal location problems. SIAM Journal on Numerical Analysis, 53(6), 2545-2569. https://doi.org/10.1137/141000993

In this paper we develop a numerical method for solving a class of optimization problems known as optimal location or quantization problems. The target energy can be written either in terms of atomic measures and the Wasserstein distance or in terms... Read More about Centroidal power diagrams, Lloyd's algorithm and applications to optimal location problems.

Frustration index and Cheeger inequalities for discrete and continuous magnetic Laplacians (2015)
Journal Article
Lange, C., Liu, S., Peyerimhoff, N., & Post, O. (2015). Frustration index and Cheeger inequalities for discrete and continuous magnetic Laplacians. Calculus of Variations and Partial Differential Equations, 54(4), 4165-4196. https://doi.org/10.1007/s00526-015-0935-x

We discuss a Cheeger constant as a mixture of the frustration index and the expansion rate, and prove the related Cheeger inequalities and higher order Cheeger inequalities for graph Laplacians with cyclic signatures, discrete magnetic Laplacians on... Read More about Frustration index and Cheeger inequalities for discrete and continuous magnetic Laplacians.

Bayes linear analysis for Bayesian optimal experimental design (2015)
Journal Article
Jones, M., Goldstein, M., Jonathan, P., & Randell, D. (2016). Bayes linear analysis for Bayesian optimal experimental design. Journal of Statistical Planning and Inference, 171, 115-129. https://doi.org/10.1016/j.jspi.2015.10.011

In many areas of science, models are used to describe attributes of complex systems. These models are generally themselves highly complex functions of their inputs, and can be computationally expensive to evaluate. Often, these models have parameters... Read More about Bayes linear analysis for Bayesian optimal experimental design.