
Field Patterns: A New Mathematical Object
, with Ornella Mattei
ArXiv Version .

Criteria for guaranteed breakdown in twophase inhomogeneous bodies
, with P. Bardsley, M. S. Primrose, M. Zhao, J. Boyle, N. Briggs,
and Z. Koch
ArXiv Version .

Towards characterization of all 3 x 3 extremal quasiconvex quadratic forms
, with D. Harutyunyan
ArXiv Version .

Towards a complete characterization of the effective elasticity tensors
of mixtures of an elastic phase and an almost rigid phase
, with Marc Briane and Davit Harutyunyan
ArXiv Version .

On the possible effective elasticity tensors of 2dimensional
and 3dimensional printed materials
,
ArXiv Version .

Analytic Materials
,
ArXiv Version .

On ideal dynamic climbing ropes
, with D. Harutyunyan, T. J. Dick, and J. Boyer
ArXiv Version .

High frequency homogenization for travelling waves in periodic media
, with D. Harutyunyan and R. Craster
ArXiv Version .

On the relation between extremal elasticity tensors with
orthotropic symmetry and extremal polynomials
, with D. Harutyunyan
ArXiv Version .

Sensitivity of anomalous localized resonance phenomena with respect to dissipation
, with T. Meklachi, D. Onofrei, A. E. Thaler, and G. Funchess
ArXiv Version .

Addendum to ``Sharp inequalities which generalize the divergence
theorem: an extension of the notion of quasiconvexity
,
ArXiv Version .

Isotropic realizability of current fields in R^3
, with M. Briane
Hal.archives Version .

Explicit examples of extremal quasiconvex quadratic forms that are not polyconvex
, with D. Harutyunyan
ArXiv Version .

New examples of threedimensional dilational materials
,
ArXiv Version .

Bounds on the volume of an inclusion in a body from a
complex conductivity measurement
, with A. Thaler
ArXiv Version .

Exact determination of the volume of an inclusion in a body
having constant shear modulus
, with A. Thaler
ArXiv Version .

Rigorous bounds on the effective moduli of composites and
inhomogeneous bodies with negativestiffness phases
, with D. Kochmann
ArXiv Version .

Bounds on the size of an inclusion using the translation method
for twodimensional complex conductivity
, with H. Kang, K. Kim, H. Lee, and X. Li
ArXiv Version .

On threedimensional dilational elastic metamaterials
, with T. Buckmann, R. Schittny, M. Thiel, M. Kadic, and M. Wegener
ArXiv Version .

Spectral theory of a NeumannPoincaretype operator and
analysis of cloaking due to anomalous localized resonance II
, with H. Ammari, G. Ciraolo, H. Kang, and H. Lee
ArXiv Version .

Which electric fields are realizable in conducting materials?
, with M. Briane and A. Treibergs
ArXiv Version .

Bounds on the volume fraction of the twophase shallow shell
using one measurement
, with H. Kang and J.N. Wang
ArXiv Version .

The searchlight effect in hyperbolic materials
, with R. C. McPhedran and A. Sihvola
ArXiv Version .

Effective conductivities of thininterphase composites
, with B. Alali
ArXiv Version .

Sharp inequalities which generalize the
divergence theorem: an extension of the notion of quasiconvexity
,
ArXiv Version .

Anomalous localized resonance using a folded geometry in three dimensions
, with H. Ammari, G. Ciraolo, H. Kang, and H. Lee
ArXiv Version .

Spectral theory of a NeumannPoincaretype operator and analysis
of cloaking due to anomalous localized resonance
, with H. Ammari, G. Ciraolo, H. Kang, and H. Lee
ArXiv Version .

Adaptable nonlinear bimode metamaterials
with rigid bars, pivots, and actuators,
,
ArXiv Version .

Complete characterization of the macroscopic
deformations of periodic unimode metamaterials of rigid bars and pivots
,
ArXiv Version .

Bounds on the volume fractions of two materials in a
three dimensional body from boundary measurements by the translation method
, with H. Kang
ArXiv Version .

Bounds on the volume fraction of 2phase, 2dimensional
elastic bodies and on (stress, strain) pairs in composites
, with L. H. Nguyen
ArXiv Version .

Mathematical analysis of the two dimensional active exterior
cloaking in the quasistatic regime
, with F. Guevara Vasquez and D. Onofrei
ArXiv Version .

Universal bounds on the electrical and elastic response of twophase bodies and their application to bounding the volume fraction from boundary measurements
,
ArXiv Version .

Sharp bounds on the volume fractions of two materials
in a twodimensional body from electrical boundary measurements: the translation method
, with H. Kang and E. Kim
ArXiv Version .

A metamaterial having a frequency dependent
elasticity tensor and a zero effective mass density
, with P. Seppecher
ArXiv Version .

Bounds on strong field magnetotransport in threedimensional composites
, with M. Briane
ArXiv Version .

Spectral superresolution in metamaterial composites
, with J. Helsing and R. C. McPhedran
ArXiv Version .

Exterior cloaking with active sources in two dimensional acoustics
, with F. Guevara Vasquez and D. Onofrei
ArXiv Version .

Complete characterization and synthesis of the response
function of elastodynamic networks
, with F. Guevara Vasquez and D. Onofrei
ArXiv Version .

An effective medium theory for multiphase matrixbased
dielectric composites with randomly oriented ellipsoidal inclusions
, with Y. Benveniste.

New bounds on strong field magnetotransport in
multiphase columnar composites
, with M. Briane.
Hal.archives Version
Realizability of metamaterials with prescribed
electric permittivity and magnetic permeability tensors
,
ArXiv Version .

Minimum variational principles for timeharmonic
waves in a dissipative medium and associated variational principles of HashinShtrikman type
, with J. Willis
ArXiv Version .

Hybrid electromagnetic circuits
, with P. Seppecher
ArXiv Version .

Progress on the strong Eshelby's conjecture
and extremal structures for the elastic moment tensor
, with H. Ammari, Y. Capdeboscq, H. Kang, H. Lee, and H. Zribi
ArXiv Version .

An antisymmetric effective Hall matrix
, with M. Briane
Hal.archives Version .
The effective medium approximation and the average field approximation
visvis the HashinShtrikman bounds in twophase matrixbased composites. II The
generalized selfconsistent scheme
, with Y. Benveniste

The effective medium approximation and the average field approximation vis\'avis the HashinShtrikman bounds in twophase
matrixbased composites. I The selfconsistent scheme in matrixbased composites
, with Y. Benveniste

Electromagnetic circuits
, with P. Seppecher
ArXiv Version .

Broadband exterior cloaking
, with F. Guevara Vasquez and D. Onofrei
ArXiv Version .

Active exterior cloaking for the 2D Laplace and Helmholtz equations
, with F. Guevara Vasquez and D. Onofrei
ArXiv Version .

Giant Hall effect in composites
, with M. Briane.
Hal.archives Version .

Cloaking by plasmonic resonance among systems of
particles: cooperation or combat?
, with R. C. McPhedran, N.A. P. Nicorovici, and L.C.Botten.

Homogenization of the threedimensional Hall effect and
change of sign of the {Hall}coefficient
, with M. Briane
Hal.archives Version .

Minimization variational principles for acoustics,
elastodynamics, and electromagnetism in lossy inhomogeneous bodies at fixed frequency
, with P. Seppecher and G. Bouchitte
ArXiv Version .

Solutions in folded geometries, and associated cloaking due to
anomalous resonance
, with N.A. P. Nicorovici, R. C. McPhedran, K. Cherednichenko, and Z. Jacob
ArXiv Version .
Realizable response matrices of multiterminal electrical,
acoustic and elastodynamic networks at a given frequency
, with P. Seppecher
ArXiv Version .

An accelerated FFT algorithm for thermoelastic and nonlinear composites
, with V. Vinogradov.

Homogenization of the twodimensional Hall effect
, with M. Briane and D. Manceau.
Hal.archives Version .

Inclusion pairs satisfying Eshelby's uniformity property
, with H. Kang and E. Kim.

Solutions to the PolyaSzego conjecture and the weak Eshelby conjecture
, with H. Kang
ArXiv Version .
Reversal of the Hall coefficient sign under homogenization
, with M. Briane.

Nonmagnetic cloak with minimized scattering
, with W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev
ArXiv Version .

New metamaterials with macroscopic behavior outside
that of continuum elastodynamics
,
ArXiv Version .

Quasistatic cloaking of twodimensional
polarizable discrete systems by anomalous resonance
with N.A.Nicorovici, R.C.McPhedran, and L.C.Botten.

Opaque perfect lenses
, with N.A. P. Nicorovici and R. C. McPhedran
ArXiv Version .
On modifications of Newton's second law and linear
continuum elastodynamics
, with J. R. Willis.

Partial resonances of threephase composites at long wavelengths
, with N.A. P. Nicorovici, R. C. McPhedran, and L. C. Botten
ArXiv Version .

On cloaking for elasticity and physical equations with a
transformation invariant form
, with M. Briane and J. R. Willis.

On conjectures of P\'{o}lyaSzeg\"{o} and Eshelby
, with H. Kang.

On the cloaking effects associated with anomalous localized resonance
, with N.A. P. Nicorovici

Optimizing the superlens: manipulating geometry to enhance the resolution
, with V. A. Podolskiy and N. A. Kuhta .

A proof of superlensing in the quasistatic regime, and limitations of
superlenses in this regime due to anomalous localized resonance
, with N.A. P. Nicorovici, R. C. McPhedran, and V. A. Podolskiy.

The total creep of viscoelastic composites under hydrostatic
or antiplane loading
with V. Vinogradov.

Nonlocal interactions in the homogenization closure of
thermoelectric functionals
, with M. CamarEddine.

On optimizing the properties of hierarchical laminates using
Pontryagin's maximum principle
.