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Computing a configuration skeleton for motion planning of two round robots on a metric graph (2014)
Presentation / Conference Contribution
Kurlin, V., & Safi-Samghabadi, M. (2014, October). Computing a configuration skeleton for motion planning of two round robots on a metric graph. Presented at 2014 Second RSI/ISM International Conference on Robotics and Mechatronics (ICRoM), Tehran

A connected metric graph G with n vertices and without loops and multiple edges is given as an n × n-matrix whose entry aij is the length of a single edge between vertices i ≠ j. A robot in the metric graph G is the metric ball with a center x ϵ G an... Read More about Computing a configuration skeleton for motion planning of two round robots on a metric graph.

A specious unlinking strategy (2014)
Journal Article
Friedl, S., Nagel, M., & Powell, M. (2014). A specious unlinking strategy. Periodica Mathematica Hungarica, 69(2), 207-210. https://doi.org/10.1007/s10998-014-0063-y

We show that the following unlinking strategy does not always yield an optimal sequence of crossing changes: first split the link with the minimal number of crossing changes, and then unknot the resulting components.

Multi-way dual Cheeger constants and spectral bounds of graphs (2014)
Journal Article
Liu, S. (2015). Multi-way dual Cheeger constants and spectral bounds of graphs. Advances in Mathematics, 268, 306-338. https://doi.org/10.1016/j.aim.2014.09.023

We introduce a set of multi-way dual Cheeger constants and prove universal higher-order dual Cheeger inequalities for eigenvalues of normalized Laplace operators on weighted finite graphs. Our proof proposes a new spectral clustering phenomenon deduc... Read More about Multi-way dual Cheeger constants and spectral bounds of graphs.

Comments on Entanglement Negativity in Holographic Field Theories (2014)
Journal Article
Rangamani, M., & Rota, M. (2014). Comments on Entanglement Negativity in Holographic Field Theories. Journal of High Energy Physics, 2014(10), Article 60. https://doi.org/10.1007/jhep10%282014%29060

We explore entanglement negativity, a measure of the distillable entanglement contained in a quantum state, in relativistic field theories in various dimensions. We first give a general overview of negativity and its properties and then explain a wel... Read More about Comments on Entanglement Negativity in Holographic Field Theories.

The superconformal index and an elliptic algebra of surface defects (2014)
Journal Article
Bullimore, M., Fluder, M., Hollands, L., & Richmond, P. (2014). The superconformal index and an elliptic algebra of surface defects. Journal of High Energy Physics, 2014(10), Article 062. https://doi.org/10.1007/jhep10%282014%29062

In this paper we continue the study of the superconformal index of four-dimensional N =2 theories of class S in the presence of surface defects. Our main result is the construction of an algebra of difference operators, whose elements are labeled by... Read More about The superconformal index and an elliptic algebra of surface defects.

Nonconcordant links with homology cobordant zero-framed surgery manifolds (2014)
Journal Article
Cha, J. C., & Powell, M. (2014). Nonconcordant links with homology cobordant zero-framed surgery manifolds. Pacific Journal of Mathematics, 272(1), 1-33. https://doi.org/10.2140/pjm.2014.272.1

We use topological surgery in dimension four to give sufficient conditions for the zero framed surgery manifold of a 3-component link to be homology cobordant to the 3-torus, which arises from zero framed surgery on the Borromean rings, via a topolog... Read More about Nonconcordant links with homology cobordant zero-framed surgery manifolds.

Shrinking of toroidal decomposition spaces (2014)
Journal Article
Kasprowski, D., & Powell, M. (2014). Shrinking of toroidal decomposition spaces. Fundamenta Mathematicae, 227(3), 271-296. https://doi.org/10.4064/fm227-3-3

Given a sequence of oriented links L^1,L^2,L^3,... each of which has a distinguished, unknotted component, there is a decomposition of the 3-sphere naturally associated to it, which is constructed as the components of the intersection of an infinite... Read More about Shrinking of toroidal decomposition spaces.

Mass-deformed brane tilings (2014)
Journal Article
Bianchi, M., Cremonesi, S., Hanany, A., Morales, J. F., Ricci Pacifici, D., & Seong, R. (2014). Mass-deformed brane tilings. Journal of High Energy Physics, 2014(10), Article 027. https://doi.org/10.1007/jhep10%282014%29027

We study renormalization group flows among N=1N=1 SCFTs realized on the worldvolume of D3-branes probing toric Calabi-Yau singularities, thus admitting a brane tiling description. The flows are triggered by masses for adjoint or vector-like pairs of... Read More about Mass-deformed brane tilings.

On the Bayesian treed multivariate Gaussian process with linear model of coregionalization (2014)
Journal Article
Konomi, B., Karagiannis, G., & Lin, G. (2015). On the Bayesian treed multivariate Gaussian process with linear model of coregionalization. Journal of Statistical Planning and Inference, 157-158, 1-15. https://doi.org/10.1016/j.jspi.2014.08.010

The Bayesian treed multivariate Gaussian process (BTMGP) and Bayesian treed Gaussian process (BTGP) provide straightforward mechanisms for emulating non-stationary multivariate computer codes that alleviate computational demands by fitting models loc... Read More about On the Bayesian treed multivariate Gaussian process with linear model of coregionalization.