Mathematics (Scholarly Articles)
Browse by
Recent Submissions

Stability analysis of chargecontrolled soft dielectric plates
(Elsevier, 20200406)We examine the stability of a soft dielectric plate deformed by the coupled effects of a mechanical prestress applied on its lateral faces and an electric field applied through its thickness under charge control. The ... 
Lower bounds on the nonClifford resources for quantum computations
(IOP Publishing, 20200528)Treating stabilizer operations as free, we establish lower bounds on the number of resource states, also known as magic states, needed to perform various quantum computing tasks. Our bounds apply to adaptive computations ... 
Global and local tests to assess stationarity of Markov transition models
(Taylor & Francis, 20180209)We present global and local likelihoodbased tests to evaluate stationarity in transition models. Three motivational studies are considered. A simulation study was carried out to assess the performance of the proposed ... 
A Weibullcount approach for handling under and overdispersed longitudinal/clustered data structures
(SAGE Publications, 20180730)A Weibullmodelbased approach is examined to handle under and overdispersed discrete data in a hierarchical framework. This methodology was first introduced by Nakagawa and Osaki (1975, IEEE Transactions on Reliability, ... 
Simulation of quantum circuits by lowrank stabilizer decompositions
(Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften, 20190902)Recent work has explored using the stabilizer formalism to classically simulate quantum circuits containing a few nonClifford gates. The computational cost of such methods is directly related to the notion of s t a ... 
Prescribing patterns in growing tubular soft matter by initial residual stress
(Royal Society of Chemistry, 20191002)Initial residual stress is omnipresent in biological tissues and soft matter, and can affect growthinduced pattern selection significantly. Here we demonstrate this effect experimentally by letting soft tubes grow in the ... 
Generalization of the Zabolotskaya equation to all incompressible isotropic elastic solids
(The Royal Society, 20190703)We study elastic shear waves of small but finite amplitude, composed of an antiplane shear motion and a general inplane motion. We use a multiple scales expansion to derive an asymptotic system of coupled nonlinear ... 
Multisector approximation method for arteries: the residual stresses of circumferential rings with nontrivial openings
(The Royal Society, 20190724)The opening angle method is a popular choice in biomechanics to estimate residual stresses in arteries. Experimentally, it means that an artery is cut into rings; then the rings are cut axially or radially allowing them ... 
Poynting effect of brain matter in torsion
(Royal Society of Chemistry, 20190613)We investigate experimentally and model theoretically the mechanical behaviour of brain matter in torsion. Using a straincontrolled rheometer, we perform torsion tests on fresh porcine brain samples. We quantify the torque ... 
Influence of initial residual stress on growth and pattern creation for a layered aorta
(Nature Research, 20190603)Residual stress is ubiquitous and indispensable in most biological and artificial materials, where it sustains and optimizes many biological and functional mechanisms. The theory of volume growth, starting from a stressfree ... 
Rivlin's legacy in continuum mechanics and applied mathematics
(The Royal Society, 20190318)Over a long and distinguished career, Ronald Rivlin (figure 1) published more than 200 scientific papers. He was a highly innovative scientist who made seminal contributions in all areas of continuum mechanics. He was one ... 
Tuning the pullin instability of soft dielectric elastomers through loading protocols
(Elsevier, 20190322)Pullin (or electromechanical) instability occurs when a drastic decrease in the thickness of a dielectric elastomer results in electrical breakdown, which limits the applications of dielectric devices. Here we derive the ... 
Wrinkles in soft dielectric plates
(Elsevier, 20180704)We show that a smooth giant voltage actuation of soft dielectric plates is not easily obtained in practice. In principle one can exploit, through predeformation, the snapthrough behavior of their loading curve to deliver ... 
Fine tuning the electromechanical response of dielectric elastomers
(AIP Publishing, 20181016)We propose a protocol to model accurately the electromechanical behavior of dielectric elastomer membranes using experimental data of stressstretch and voltagestretch tests. We show how the relationship between electric ... 
Effects of nerve bundle geometry on neurotrauma evaluation
(Wiley, 20180616)ObjectiveWe confirm that alteration of a neuron structure can induce abnormalities in signal propagation for nervous systems, as observed in brain damage. Here, we investigate the effects of geometrical changes and damage ... 
Finite bending and pattern evolution of the associated instability for a dielectric elastomer slab
(Elsevier, 20180921)We investigate the finite bending and the associated bending instability of an incompressible dielectric slab subject to a combination of applied voltage and axial compression, using nonlinear electroelasticity theory and ... 
Genus two partition and correlation functions for fermionic vertex operator superalgebras II
(20181018)We define and compute the continuous orbifold partition function and a generating function for all npoint correlation functions for the rank two free fermion vertex operator superalgebra on a genus two Riemann surface ... 
Genus two zhu theory for vertex operator algebras
(20161027)We consider correlation functions for a vertex operator algebra on a genus two Riemann surface formed by sewing two tori together. We describe a generalisation of genus one Zhu recursion where we express an arbitrary genus ... 
N=2 and N=4 subalgebras of super vertex operator algebras
(IOP Publishing, 20180110)We develop criteria to decide if an N=2 or N=4 super conformal algebra is a subalgebra of a super vertex operator algebra in general, and of a super lattice theory in particular. We give some specific examples. 
Zhu reduction for Jacobi npoint functions and applications
(20170623)We establish precise Zhu reduction formulas for Jacobi npoint functions which show the absence of any possible poles arising in these formulas. We then exploit this to produce results concerning the structure of strongly ...