All Outputs (222)

Homogeneous dynamics: a study guide (2015)
Book Chapter
Einsiedler, M., & Ward, T. (2015). Homogeneous dynamics: a study guide. In S. Cheng, L. Ji, Y. Poon, J. Xiao, L. Yang, & S. Yau (Eds.), Introduction to modern mathematics (171-202). International Press of Boston

These notes give a summary of the course ‘Ergodic theory and Applications in Number Theory’ at the Summer School in Modern Mathematics at the Tsinghua University in Beijing, June 23–27 (2013). As in the Summer school, we will need to be brief at time... Read More about Homogeneous dynamics: a study guide.

Rank-3 root systems induce root systems of rank 4 via a new Clifford spinor construction (2015)
Journal Article
Dechant, P. (2015). Rank-3 root systems induce root systems of rank 4 via a new Clifford spinor construction. Journal of Physics: Conference Series, 597(1), Article 012027. https://doi.org/10.1088/1742-6596/597/1/012027

In this paper, we show that via a novel construction every rank-3 root system induces a root system of rank 4. Via the Cartan-Dieudonné theorem, an even number of successive Coxeter reflections yields rotations that in a Clifford algebra framework ar... Read More about Rank-3 root systems induce root systems of rank 4 via a new Clifford spinor construction.

A conjugate class of utility functions for sequential decision problems (2015)
Journal Article
Houlding, B., Coolen, F., & Bolger, D. (2015). A conjugate class of utility functions for sequential decision problems. Risk Analysis, 35(9), 1611-1622. https://doi.org/10.1111/risa.12359

The use of the conjugacy property for members of the exponential family of distributions is commonplace within Bayesian statistical analysis, allowing for tractable and simple solutions to problems of inference. However, despite a shared motivation,... Read More about A conjugate class of utility functions for sequential decision problems.

Exact finite volume expectation values of local operators in excited states (2015)
Journal Article
Pozsgay, B., Szécsényi, I., & Takács, G. (2015). Exact finite volume expectation values of local operators in excited states. Journal of High Energy Physics, 2015(4), Article 23. https://doi.org/10.1007/jhep04%282015%29023

We present a conjecture for the exact expression of finite volume expectation values in excited states in integrable quantum field theories, which is an extension of an earlier conjecture to the case of general diagonal factorized scattering with bou... Read More about Exact finite volume expectation values of local operators in excited states.

Entanglement entropy in three dimensional gravity (2015)
Journal Article
Maxfield, H. (2015). Entanglement entropy in three dimensional gravity. Journal of High Energy Physics, 2015(4), Article 31. https://doi.org/10.1007/jhep04%282015%29031

The Ryu-Takayanagi (RT) and covariant Hubeny-Rangamani-Takayanagi (HRT) proposals relate entanglement entropy in CFTs with holographic duals to the areas of minimal or extremal surfaces in the bulk geometry. We show how, in three dimensional pure gra... Read More about Entanglement entropy in three dimensional gravity.

Holographic Charge Oscillations (2015)
Journal Article
Blake, M., Donos, A., & Tong, D. (2015). Holographic Charge Oscillations. Journal of High Energy Physics, 2015(4), Article 019. https://doi.org/10.1007/jhep04%282015%29019

The Reissner-Nordström black hole provides the prototypical description of a holographic system at finite density. We study the response of this system to the presence of a local, charged impurity. Below a critical temperature, the induced charge den... Read More about Holographic Charge Oscillations.

Every point in a Riemannian manifold is critical (2015)
Journal Article
Galaz-García, F., & Guijarro, L. (2015). Every point in a Riemannian manifold is critical. Calculus of Variations and Partial Differential Equations, 54(2), 2079-2084. https://doi.org/10.1007/s00526-015-0857-7

New Constructions and Bounds for Winkler's Hat Game (2015)
Journal Article
Gadouleau, M., & Georgiou, N. (2015). New Constructions and Bounds for Winkler's Hat Game. SIAM Journal on Discrete Mathematics, 29(2), 823-834. https://doi.org/10.1137/130944680

Hat problems have recently become a popular topic in combinatorics and discrete mathematics. These have been shown to be strongly related to coding theory, network coding, and auctions. We consider the following version of the hat game, introduced by... Read More about New Constructions and Bounds for Winkler's Hat Game.

Constraining dark sector perturbations 1: cosmic shear and CMB lensing (2015)
Journal Article
Battye, R. A., Moss, A., & Pearson, J. A. (2015). Constraining dark sector perturbations 1: cosmic shear and CMB lensing. Journal of Cosmology and Astroparticle Physics, 2015, Article 048. https://doi.org/10.1088/1475-7516/2015/04/048

We present current and future constraints on equations of state for dark sector perturbations. The equations of state considered are those corresponding to a generalized scalar field model and time-diffeomorphism invariant Script L(g) theories that a... Read More about Constraining dark sector perturbations 1: cosmic shear and CMB lensing.

Permutation orbifolds and holography (2015)
Journal Article
Haehl, F., & Rangamani, M. (2015). Permutation orbifolds and holography. Journal of High Energy Physics, 2015(3), Article 163. https://doi.org/10.1007/jhep03%282015%29163

Two dimensional conformal field theories with large central charge and a sparse low-lying spectrum are expected to admit a classical string holographic dual. We construct a large class of such theories employing permutation orbifold technology. In pa... Read More about Permutation orbifolds and holography.

Strichartz estimates and smooth attractors for a sub-quintic wave equation with fractional damping in bounded domains (2015)
Journal Article
Savostianov, A. (2015). Strichartz estimates and smooth attractors for a sub-quintic wave equation with fractional damping in bounded domains. Advances in differential equations, 20(5/6), 495-530

The work is devoted to Dirichlet problem for sub-quintic semi-linear wave equation with damping term of the form (−Δx)α∂tu(−Δx)α∂tu, α∈(0,12)α∈(0,12), in bounded smooth domains of R3R3. It appears that to prove well-posedness and develop smooth attra... Read More about Strichartz estimates and smooth attractors for a sub-quintic wave equation with fractional damping in bounded domains.

Asymptotic domino statistics in the Aztec diamond (2015)
Journal Article
Chhita, S., Johansson, K., & Young, B. (2015). Asymptotic domino statistics in the Aztec diamond. Annals of Applied Probability, 25(3), 1232-1278. https://doi.org/10.1214/14-aap1021

We study random domino tilings of the Aztec diamond with different weights for horizontal and vertical dominoes. A domino tiling of an Aztec diamond can also be described by a particle system which is a determinantal process. We give a relation betwe... Read More about Asymptotic domino statistics in the Aztec diamond.

A Linear Time Algorithm for Visualizing Knotted Structures in 3 Pages (2015)
Presentation / Conference Contribution
Kurlin, V. (2015). A Linear Time Algorithm for Visualizing Knotted Structures in 3 Pages. In Proceedings of the 6th International Conference on Information Visualization Theory and Applications, IVAPP-2015, 11-14 March 2015, Berlin, Germany (5-16). https://doi.org/10.5220/0005259900050016

We introduce simple codes and fast visualization tools for knotted structures in molecules and neural networks. Knots, links and more general knotted graphs are studied up to an ambient isotopy in Euclidean 3-space. A knotted graph can be represented... Read More about A Linear Time Algorithm for Visualizing Knotted Structures in 3 Pages.

Random processes (2015)
Book Chapter
Cruise, R. J., Hryniv, O., & Wade, A. R. (2015). Random processes. In M. Grinfeld (Ed.), Mathematical Tools for Physicists (3-38). (2nd ed.). Wiley. https://doi.org/10.1002/3527600434.eap382.pub2

Form factor relocalisation and interpolating renormalisation group flows from the staircase model (2015)
Journal Article
Dorey, P., Siviour, G., & Takács, G. (2015). Form factor relocalisation and interpolating renormalisation group flows from the staircase model. Journal of High Energy Physics, 2015(3), Article 054. https://doi.org/10.1007/jhep03%282015%29054

We investigate the staircase model, introduced by Aliosha Zamolodchikov through an analytic continuation of the sinh-Gordon S-matrix to describe interpolating flows between minimal models of conformal field theory in two dimensions. Applying the form... Read More about Form factor relocalisation and interpolating renormalisation group flows from the staircase model.

Behind the geon horizon (2015)
Journal Article
Monica, G., & Ross, S. F. (2015). Behind the geon horizon. Classical and Quantum Gravity, 32(5), Article 055014. https://doi.org/10.1088/0264-9381/32/5/055014

We explore the Papadodimas–Raju prescription for reconstructing the region behind the horizon of one-sided black holes in AdS/CFT in the case of the P2 geon—a simple, analytic example of a single-sided, asymptotically AdS3 black hole, which correspo... Read More about Behind the geon horizon.

The fermion content of the Standard Model from a simple world-line theory (2015)
Journal Article
Mansfield, P. (2015). The fermion content of the Standard Model from a simple world-line theory. Physics Letters B, 743, 353-356. https://doi.org/10.1016/j.physletb.2015.02.061

We describe a simple model that automatically generates the sum over gauge group representations and chiralities of a single generation of fermions in the Standard Model, augmented by a sterile neutrino. The model is a modification of the world-line... Read More about The fermion content of the Standard Model from a simple world-line theory.

On oscillatory convection with the Cattaneo-Christov hyperbolic heat-flow model (2015)
Journal Article
Bissell, J. (2015). On oscillatory convection with the Cattaneo-Christov hyperbolic heat-flow model. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 471(2175), https://doi.org/10.1098/rspa.2014.0845

Adoption of the hyperbolic Cattaneo–Christov heat-flow model in place of the more usual parabolic Fourier law is shown to raise the possibility of oscillatory convection in the classic Bénard problem of a Boussinesq fluid heated from below. By compar... Read More about On oscillatory convection with the Cattaneo-Christov hyperbolic heat-flow model.

Evolution of field line helicity during magnetic reconnection (2015)
Journal Article
Russell, A., Yeates, A., Hornig, G., & Wilmot-Smith, A. (2015). Evolution of field line helicity during magnetic reconnection. Physics of Plasmas, 22(3), Article 032106. https://doi.org/10.1063/1.4913489

We investigate the evolution of field line helicity for magnetic fields that connect two boundaries without null points, with emphasis on localized finite-B magnetic reconnection. Total (relative) magnetic helicity is already recognized as an importa... Read More about Evolution of field line helicity during magnetic reconnection.

Convergence in a multidimensional randomized Keynesian beauty contest (2015)
Journal Article
Grinfeld, M., Volkov, S., & Wade, A. R. (2015). Convergence in a multidimensional randomized Keynesian beauty contest. Advances in Applied Probability, 47(1), 57-82. https://doi.org/10.1239/aap/1427814581

We study the asymptotics of a Markovian system of N ≥ 3 particles in [0, 1]d in which, at each step in discrete time, the particle farthest from the current centre of mass is removed and replaced by an independent U[0, 1]d random particle. We show th... Read More about Convergence in a multidimensional randomized Keynesian beauty contest.