Research Output 1975 2017

2017

Accurate and efficient numerical calculation of stable densities via optimized quadrature and asymptotics

Ament, S. & O’Neil, M. Jan 12 2017 (Accepted/In press) In : Statistics and Computing. p. 1-15 15 p.

Research output: Research - peer-reviewArticle

Stable Distribution
Density Function
Quadrature
Numerical Calculation
Density function
critical temperature
graphene
superconductivity
transition temperature
temperature

Eliminating depth cycles among triangles in three dimensions

Aronov, B., Miller, E. Y. & Sharir, M. 2017 28th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2017. Association for Computing Machinery, p. 2476-2494 19 p.

Research output: ResearchConference contribution

Three-dimension
Triangle
Cycle
Computational geometry
Computer graphics

Fast algorithms for Quadrature by Expansion I: Globally valid expansions

Rachh, M., Klöckner, A. & O'Neil, M. Sep 15 2017 In : Journal of Computational Physics. 345, p. 706-731 26 p.

Research output: Research - peer-reviewArticle

quadratures
expansion
multipoles
evaluation
Helmholtz equation

Robust integral formulations for electromagnetic scattering from three-dimensional cavities

Lai, J., Greengard, L. & O'Neil, M. Sep 15 2017 In : Journal of Computational Physics. 345, p. 1-16 16 p.

Research output: Research - peer-reviewArticle

electromagnetic scattering
formulations
cavities
Scattering
scattering

The dual Minkowski problem for symmetric convex bodies

Böröczky, K. J., Lutwak, E., Yang, D., Zhang, G. & Zhao, Y. Mar 18 2017 In : arXiv.

Research output: ResearchArticle

Convex Body
Curvature Measure
Unit Sphere
Necessary Conditions
Sufficient Conditions

Volume inequalities of convex bodies from cosine transforms on Grassmann manifolds

Li, A. J., Xi, D. & Zhang, G. Jan 2 2017 In : Advances in Mathematics. 304, p. 494-538 45 p.

Research output: Research - peer-reviewArticle

Grassmann Manifold
Convex Body
Transform
Isoperimetric
Stefan Banach
2016

Critical pull-in curves of MEMS actuators in presence of Casimir force

Mclellan, B., Medina, L., Xu, C. & Yang, Y. 2016 (Accepted/In press) In : ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik.

Research output: Research - peer-reviewArticle

Casimir Force
Micro-electro-mechanical Systems
Actuator
Curve
MEMS

Domain wall equations, Hessian of superpotential, and Bogomol'nyi bounds

Chen, S. & Yang, Y. Mar 1 2016 In : Nuclear Physics, Section B. 904, p. 470-493 24 p.

Research output: Research - peer-reviewArticle

domain wall
energy
critical point
equations of motion
ground state

Fast Direct Methods for Gaussian Processes

Ambikasaran, S., Foreman-Mackey, D., Greengard, L., Hogg, D. W. & O'Neil, M. Feb 1 2016 In : IEEE Transactions on Pattern Analysis and Machine Intelligence. 38, 2, p. 252-265 14 p., 7130620

Research output: Research - peer-reviewArticle

Direct Method
Gaussian Process
Evaluation
Inversion
Determinant

Geometric measures in the dual Brunn–Minkowski theory and their associated Minkowski problems

Huang, Y., Lutwak, E., Yang, D. & Zhang, G. Jun 1 2016 In : Acta Mathematica. 216, 2, p. 325-388 64 p.

Research output: Research - peer-reviewArticle

Curvature Measure
Convex Body
Sufficient Conditions
Borel Measure
Existence of Solutions

Magnetic impurity inspired Abelian Higgs vortices

Han, X. & Yang, Y. Feb 1 2016 In : Journal of High Energy Physics. 2016, 2, p. 1-19 19 p., 46

Research output: Research - peer-reviewArticle

vortices
impurities

Non-Abelian clouds around Reissner-Nordström black holes: The existence line

Radu, E., Tchrakian, D. H. & Yang, Y. Jun 27 2016 In : Physical Review D - Particles, Fields, Gravitation and Cosmology. 93, 12, 124069

Research output: Research - peer-reviewArticle

horizon
magnetic clouds
electric charge
Yang-Mills theory
infinity

Relativistic Chern-Simons-Higgs vortex equations

Han, X. & Yang, Y. May 1 2016 In : Transactions of the American Mathematical Society. 368, 5, p. 3565-3590 26 p.

Research output: Research - peer-reviewArticle

Gauge Group
Higgs
Existence Theorem
Vortex
Prototype

Resolution of Chern–Simons–Higgs Vortex Equations

Han, X., Lin, C. S. & Yang, Y. Jan 29 2016 (Accepted/In press) In : Communications in Mathematical Physics. p. 1-24 24 p.

Research output: Research - peer-reviewArticle

Higgs
Vortex
vortices
Cartan Matrix
matrices

Smoothed corners and scattered waves

Epstein, C. L. & O'Neil, M. 2016 In : SIAM Journal on Scientific Computing. 38, 5, p. A2665-A2698

Research output: Research - peer-reviewArticle

Smoothness
Directly proportional
Geometry
Acoustic Scattering
Near-field
Ginzburg-Landau
Direct Method
Variational Methods
Energy
Sobolev Inequality
Chern-Simons Theories
Approximation
Truncation Error
Guess
Higgs
2015

A concise text on advanced linear algebra

Yang, Y. Jan 2015 Cambridge University Press. 330 p.

Research output: ResearchBook

Affine images of isotropic measures

Böröczky, K. J., Lutwak, E., Yang, D. & Zhang, G. Mar 1 2015 In : Journal of Differential Geometry. 99, 3, p. 407-442 36 p.

Research output: Research - peer-reviewArticle

Isoperimetric Inequality
Borel Measure
Reverse
Convex Body
Euclidean
Layer Potentials
Layered Media
Integral Representation
Half-space
Frequency Domain

Debye Sources, Beltrami Fields, and a Complex Structure on Maxwell Fields

Epstein, C. L., Greengard, L. & O'Neil, M. Dec 1 2015 In : Communications on Pure and Applied Mathematics. 68, 12, p. 2237-2280 44 p.

Research output: Research - peer-reviewArticle

Complex Structure
Vector spaces
Harmonic
Vector space
Bounded Domain

Existence of hyperbolic calorons

Sibner, L., Sibner, R. & Yang, Y. Apr 8 2015 In : Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 471, 2176, 20140970

Research output: Research - peer-reviewArticle

Vortex
Charge
vortices
Vortex flow
Yang-Mills

Explicit integration of Friedmann's equation with nonlinear equations of state

Chen, S., Gibbons, G. W. & Yang, Y. May 13 2015 In : Journal of Cosmology and Astroparticle Physics. 2015, 5, 020

Research output: Research - peer-reviewArticle

nonlinear equations
equations of state
universe
gases
two fluid models

Friedmann-Lemaitre cosmologies via roulettes and other analytic methods

Chen, S., Gibbons, G. W. & Yang, Y. Oct 27 2015 In : Journal of Cosmology and Astroparticle Physics. 2015, 10, 056

Research output: Research - peer-reviewArticle

equations of state
quadratic equations
theorems
universe

The Hadamard variational formula and the Minkowski problem for p-capacity

Colesanti, A., Nyström, K., Salani, P., Xiao, J., Yang, D. & Zhang, G. Nov 5 2015 In : Advances in Mathematics. 285, p. 1511-1588 78 p., 5138

Research output: Research - peer-reviewArticle

Convex Body
Classical Solution
Electrostatics
Uniqueness
Regularity

Topologically stratified energy minimizers in a product Abelian field theory

Han, X. & Yang, Y. Sep 1 2015 In : Nuclear Physics, Section B. 898, p. 605-626 22 p.

Research output: Research - peer-reviewArticle

vortices
products
energy
impurities
existence theorems
2014

A concise text on advanced linear algebra

Yang, Y. Jan 1 2014 Cambridge University Press. 318 p.

Research output: ResearchBook

Linear algebra
Text
Fundamental theorem of algebra
Cayley-Hamilton theorem
Quantum Mechanics
Layered Media
Electromagnetic Scattering
Electric Field
electromagnetic scattering
electric fields

A unified approach to Cramér-rao inequalities

Cianchi, A., Lutwak, E., Yang, D. & Zhang, G. Jan 2014 In : IEEE Transactions on Information Theory. 60, 1, p. 643-650 8 p., 6655985

Research output: Research - peer-reviewArticle

Cramer-Rao bounds
Random variables
Boundary conditions

Chern-simons vortices in the gudnason model

Han, X., Lin, C. S., Tarantello, G. & Yang, Y. Aug 1 2014 In : Journal of Functional Analysis. 267, 3, p. 678-726 49 p.

Research output: Research - peer-reviewArticle

Vortex
Model
Distinct
Constrained Minimization
Energy Distribution

Cosmic strings in a product Abelian gauge field theory

Yang, Y. 2014 In : Nuclear Physics, Section B. 885, p. 25-33 9 p.

Research output: Research - peer-reviewArticle

strings
products
gravitational constant
broken symmetry
sectors

Exact axisymmetric Taylor states for shaped plasmas

Cerfon, A. J. & O'Neil, M. 2014 In : Physics of Plasmas. 21, 6, 064501

Research output: Research - peer-reviewArticle

geometry
elongation
aspect ratio
flexibility

Exact kink solitons in Skyrme crystals

Chen, S., Li, Y. & Yang, Y. Jan 9 2014 In : Physical Review D - Particles, Fields, Gravitation and Cosmology. 89, 2, 025007

Research output: Research - peer-reviewArticle

solitary waves
crystals
domain wall
configurations
energy

Existence of optical vortices

Yang, Y. & Zhang, R. 2014 In : SIAM Journal on Mathematical Analysis. 46, 1, p. 484-498 15 p.

Research output: Research - peer-reviewArticle

Optical Vortex
Wave Propagation
Vortex
Vortex flow
Wave propagation

Existence Theorems for Vortices in the Aharony–Bergman–Jaferis–Maldacena Model

Han, X. & Yang, Y. 2014 In : Communications in Mathematical Physics. 333, 1, p. 229-259 31 p.

Research output: Research - peer-reviewArticle

Gauge Symmetry
Existence and Uniqueness Theorem
Higgs Boson
Gauge Group
Symmetry Group

Friedmann's equations and Chebyshev's theorem

Yang, Y., Chen, S., Gibbons, G. W. & Li, Y. 2014 In : Journal of Cosmology and Astroparticle Physics. 12, p. 35

Research output: Research - peer-reviewArticle

Friedmann's equations in all dimensions and Chebyshev's theorem

Chen, S., Gibbons, G. W., Li, Y. & Yang, Y. Dec 16 2014 In : Journal of Cosmology and Astroparticle Physics. 2014, 12, A41

Research output: Research - peer-reviewArticle

theorems
universe
equations of state
flux density
fluids

On the efficient representation of the half-space impedance Green's function for the Helmholtz equation

O'Neil, M., Greengard, L. & Pataki, A. Jan 2014 In : Wave Motion. 51, 1, p. 1-13 13 p.

Research output: Research - peer-reviewArticle

Helmholtz equations
half spaces
Green's functions
impedance
acoustic scattering
2013

Abelian Hopfions of the CPn model on R2n+1 and a fractionally powered topological lower bound

Radu, E., Tchrakian, D. H. & Yang, Y. Oct 11 2013 In : Nuclear Physics, Section B. 875, 2, p. 388-407 20 p.

Research output: Research - peer-reviewArticle

energy
divergence
curvature
composite materials
rings

A consistency condition for the vector potential in multiply-connected domains

Epstein, C. L., Gimbutas, Z., Greengard, L., Klockner, A. & O'Neil, M. 2013 In : IEEE Transactions on Magnetics. 49, 3, p. 1072-1076 5 p., 6327672

Research output: Research - peer-reviewArticle

Magnetic fields
Gages
Integral equations
Electric fields
Topology

A fast, high-order solver for the Grad-Shafranov equation

Pataki, A., Cerfon, A. J., Freidberg, J. P., Greengard, L. & O'Neil, M. Jun 5 2013 In : Journal of Computational Physics. 243, p. 28-45 18 p.

Research output: Research - peer-reviewArticle

Plasmas
plasma equilibrium
equilibrium equations
conformal mapping
integral equations

Affine Moments of a Random Vector

Lutwak, E., Lv, S., Yang, D. & Zhang, G. 2013 In : IEEE Transactions on Information Theory. 59, 9, p. 5592-5599 8 p., 6524015

Research output: Research - peer-reviewArticle

entropy
Entropy

Debye Sources and the Numerical Solution of the Time Harmonic Maxwell Equations II

Epstein, C. L., Greengard, L. & O'Neil, M. May 2013 In : Communications on Pure and Applied Mathematics. 66, 5, p. 753-789 37 p.

Research output: Research - peer-reviewArticle

Dielectric Constant
Fredholm Integral Equation
Permittivity
Maxwell's equations
Integral Representation

On a vegetation pattern formation model governed by a nonlinear parabolic system

Marinov, K., Wang, T. & Yang, Y. Feb 2013 In : Nonlinear Analysis: Real World Applications. 14, 1, p. 507-525 19 p.

Research output: Research - peer-reviewArticle

Nonlinear Parabolic Systems
Vegetation
Pattern Formation
Model
Water Supply

Quadrature by expansion: A new method for the evaluation of layer potentials

Klöckner, A., Barnett, A., Greengard, L. & O'Neil, M. Nov 1 2013 In : Journal of Computational Physics. 252, p. 332-349 18 p.

Research output: Research - peer-reviewArticle

quadratures
expansion
evaluation
operators
Asymptotic analysis

Solutions to the master equations governing fractional vortices

Lin, C. S., Tarantello, G. & Yang, Y. Feb 1 2013 In : Journal of Differential Equations. 254, 3, p. 1437-1463 27 p.

Research output: Research - peer-reviewArticle

Master Equation
Vortex
Fractional
Winding number
Variational Methods

The logarithmic Minkowski problem

Böröczky, K. J., Lutwak, E., Yang, D. & Zhang, G. 2013 In : Journal of the American Mathematical Society. 26, 3, p. 831-852 22 p.

Research output: Research - peer-reviewArticle

Logarithmic
Banach spaces
Cones
Unit Sphere
Unit ball
2012

Dynamics of electrostatic microelectromechanical systems actuators

Yang, Y., Zhang, R. & Zhao, L. Feb 2 2012 In : Journal of Mathematical Physics. 53, 2, 022703

Research output: Research - peer-reviewArticle

Micro-electro-mechanical Systems
Electrostatics
Actuator
microelectromechanical systems
actuators

Exact kink solitons in a monopole confinement problem

Chen, S., Li, Y. & Yang, Y. Oct 17 2012 In : Physical Review D - Particles, Fields, Gravitation and Cosmology. 86, 8, 085030

Research output: Research - peer-reviewArticle

monopoles
solitary waves
quantum chromodynamics
energy