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Asymptotic analysis of a doubly nonlinear diffusion equation (2015)
Journal Article
King, J. R. (2016). Asymptotic analysis of a doubly nonlinear diffusion equation. Nonlinear Analysis: Theory, Methods and Applications, 138, https://doi.org/10.1016/j.na.2015.12.003

investigate the doubly nonlinear diffusion equation
∂u/∂t=1/n ∇.(u^m│∇u│^n-1) ∇u) and the same equation expressed in terms of a `pressure' variable. We classify various classes of compacted supported solutions, as well as finite-mass solutions that... Read More about Asymptotic analysis of a doubly nonlinear diffusion equation.

Tensor products of nonassociative cyclic algebras (2015)
Journal Article
Pumpluen, S. (2016). Tensor products of nonassociative cyclic algebras. Journal of Algebra, 451, https://doi.org/10.1016/j.jalgebra.2015.12.007

We study the tensor product of an associative and a nonassociative cyclic algebra. The condition for the tensor product to be a division algebra equals the classical one for the tensor product of two associative cyclic algebras by Albert or Jacobson,... Read More about Tensor products of nonassociative cyclic algebras.

A correspondence of modular forms and applications to values of L-series (2015)
Journal Article
Diamantis, N., Neururer, M., & Strömberg, F. (in press). A correspondence of modular forms and applications to values of L-series. Research in Number Theory, 1(27), https://doi.org/10.1007/s40993-015-0029-z

An interpretation of the Rogers–Zudilin approach to the Boyd conjectures is established. This is based on a correspondence of modular forms which is of independent interest. We use the reinterpretation for two applications to values of L-series and v... Read More about A correspondence of modular forms and applications to values of L-series.

Four-dimensional projective orbifold hypersurfaces (2015)
Journal Article
Brown, G., & Kasprzyk, A. M. (2015). Four-dimensional projective orbifold hypersurfaces. Experimental Mathematics, 25(2), https://doi.org/10.1080/10586458.2015.1054054

We classify four-dimensional quasismooth weighted hypersurfaces with small canonical class, and verify a conjecture of Johnson and Kollar on infinite series of quasismooth hypersurfaces with anticanonical hyperplane section in the case of fourfolds.... Read More about Four-dimensional projective orbifold hypersurfaces.

Uncertainty and variability in models of the cardiac action potential: Can we build trustworthy models? (2015)
Journal Article
Johnstone, R. H., Chang, E. T., Bardenet, R., de Boer, T. P., Gavaghan, D. J., Pathmanathan, P., Clayton, R. H., & Mirams, G. R. (2016). Uncertainty and variability in models of the cardiac action potential: Can we build trustworthy models?. Journal of Molecular and Cellular Cardiology, 96, 49-62. https://doi.org/10.1016/j.yjmcc.2015.11.018

Cardiac electrophysiology models have been developed for over 50 years, and now include detailed descriptions of individual ion currents and sub-cellular calcium handling. It is commonly accepted that there are many uncertainties in these systems, wi... Read More about Uncertainty and variability in models of the cardiac action potential: Can we build trustworthy models?.

Supergeometry in locally covariant quantum field theory (2015)
Journal Article
Hack, T.-P., Hanisch, F., & Schenkel, A. (2016). Supergeometry in locally covariant quantum field theory. Communications in Mathematical Physics, 342(2), 615-673. https://doi.org/10.1007/s00220-015-2516-4

In this paper we analyze supergeometric locally covariant quantum field theories. We develop suitable categories SLoc of super-Cartan supermanifolds, which generalize Lorentz manifolds in ordinary quantum field theory, and show that, starting from a... Read More about Supergeometry in locally covariant quantum field theory.

Mathematical neuroscience: from neurons to networks (2015)
Book Chapter
Coombes, S. (2015). Mathematical neuroscience: from neurons to networks. In C. Dogbe (Ed.), Actes du colloque "EDP-Normandie" : Le Havre 2015. Fédération Normandie Mathématiques

The tools of dynamical systems theory are having an increasing impact on our understanding of patterns of neural activity. In this talk I will describe how to build tractable tissue level models that maintain a strong link with biophysical reality. T... Read More about Mathematical neuroscience: from neurons to networks.

Gaussian interferometric power as a measure of continuous-variable non-Markovianity (2015)
Journal Article
Souza, L. A., Dhar, H. S., Bera, M. N., Liuzzo-Scorpo, P., & Adesso, G. (2015). Gaussian interferometric power as a measure of continuous-variable non-Markovianity. Physical Review A, 92(5), https://doi.org/10.1103/physreva.92.052122

We investigate the non-Markovianity of continuous-variable Gaussian quantum channels through the evolution of an operational metrological quantifier, namely, the Gaussian interferometric power, which captures the minimal precision that can be achieve... Read More about Gaussian interferometric power as a measure of continuous-variable non-Markovianity.

A Generalized Multiscale Finite Element Method for poroelasticity problems II: nonlinear coupling (2015)
Journal Article
Brown, D., & Vasilyeva, M. (2015). A Generalized Multiscale Finite Element Method for poroelasticity problems II: nonlinear coupling. Journal of Computational and Applied Mathematics, 297, https://doi.org/10.1016/j.cam.2015.11.007

In this paper, we consider the numerical solution of some nonlinear poroelasticity problems that are of Biot type and develop a general algorithm for solving nonlinear coupled systems. We discuss the difficulties associated with flow and mechanics in... Read More about A Generalized Multiscale Finite Element Method for poroelasticity problems II: nonlinear coupling.