All Outputs (112)

Asymptotic analysis of a doubly nonlinear diffusion equation (2015)
Journal Article

We 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 t... Read More about Asymptotic analysis of a doubly nonlinear diffusion equation.

Tensor products of nonassociative cyclic algebras (2015)
Journal Article

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

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

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

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

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

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

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

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.

Effects of three-body collisions in a two-mode Bose-Einstein condensate (2015)
Journal Article

Spectral thresholding quantum tomography for low rank states (2015)
Journal Article

The estimation of high dimensional quantum states is an important statistical problem arising in current quantum technology applications. A key example is the tomography of multiple ions states, employed in the validation of state preparation in ion... Read More about Spectral thresholding quantum tomography for low rank states.

Hierarchy of steering criteria based on moments for all bipartite quantum systems (2015)
Journal Article

Einstein-Podolsky-Rosen steering is a manifestation of quantum correlations exhibited by quantum systems that allows for entanglement certification when one of the subsystems is not characterized. Detecting the steerability of quantum states is essen... Read More about Hierarchy of steering criteria based on moments for all bipartite quantum systems.

Compensated convexity, multiscale medial axis maps and sharp regularity of the squared-distance function (2015)
Journal Article

In this paper we introduce a new stable mathematical model for locating and measuring the medial axis of geometric objects, called the quadratic multiscale medial axis map of scale λ, and provide a sharp regularity result for the squared-distance fun... Read More about Compensated convexity, multiscale medial axis maps and sharp regularity of the squared-distance function.

Pushed and pulled fronts in a discrete reaction-diffusion equation (2015)
Journal Article

We consider the propagation of wave fronts connecting unstable and stable uniform solutions to a discrete reaction-diffusion equation on a one-dimensional integer lattice. The dependence of the wavespeed on the coupling strength µ between lattice poi... Read More about Pushed and pulled fronts in a discrete reaction-diffusion equation.

Ryanodine receptor sensitization results in abnormal calcium signaling in airway smooth muscle cells (2015)
Journal Article

The nonassociative algebras used to build fast-decodable space-time block codes (2015)
Journal Article

Let K/F and K/L be two cyclic Galois field extensions and D a cyclic algebra. Given an invertible element d in D, we present three families of unital nonassociative algebras defined on the direct sum of n copies of D. Two of these families appear eit... Read More about The nonassociative algebras used to build fast-decodable space-time block codes.

Removability of exceptional sets for differentiable and Lipschitz functions (2015)
Journal Article

We discuss removability problems concerning differentiability and pointwise Lipschitz conditions for functions of a real variable. We prove that, in each of the settings under consideration, a set is removable if and only if it has no perfect subsets... Read More about Removability of exceptional sets for differentiable and Lipschitz functions.

Swiss Cheeses and Their Applications (2015)
Conference Proceeding

Swiss cheese sets have been used in the literature as useful examples in the study of rational approximation and uniform algebras. In this paper, we give a survey of Swiss cheese constructions and related results. We describe some notable examples of... Read More about Swiss Cheeses and Their Applications.

A geometric network model of intrinsic grey-matter connectivity of the human brain (2015)
Journal Article

Network science provides a general framework for analysing the large-scale brain networks that naturally arise from modern neuroimaging studies, and a key goal in theoretical neuroscience is to understand the extent to which these neural architecture... Read More about A geometric network model of intrinsic grey-matter connectivity of the human brain.

Secure continuous variable teleportation and Einstein-Podolsky-Rosen steering (2015)
Journal Article

We investigate the resources needed for secure teleportation of coherent states. We extend continuous variable teleportation to include quantum teleamplification protocols that allow nonunity classical gains and a preamplification or postattenuation... Read More about Secure continuous variable teleportation and Einstein-Podolsky-Rosen steering.