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 In : Statistics and Computing. p. 1-15 15 p.

Research output: Contribution to journalArticle

Stable distribution
Density function
Probability density function
Infinitely divisible distribution
Cauchy distribution
Superconducting transition temperature
transition temperature
Graphene
Superconductivity
critical 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: Chapter in Book/Report/Conference proceedingConference contribution

Computational geometry
Computer graphics
Algebra
Topology
Polynomials

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: Contribution to journalArticle

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: Contribution to journalArticle

cavities
Scattering
scattering
Integral equations
Electric fields

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: Contribution to journalArticle

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: Contribution to journalArticle

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 In : ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik.

Research output: Contribution to journalArticle

MEMS
Actuators
Wave equations
Equations of motion
Electrostatics

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: Contribution to journalArticle

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: Contribution to journalArticle

Evaluation
Inversion
Determinant
kernel
Covariance matrix

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: Contribution to journalArticle

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: Contribution to journalArticle

Higgs
Impurities
Vortex

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: Contribution to journalArticle

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: Contribution to journalArticle

Vortex flow
Gages

Resolution of Chern–Simons–Higgs Vortex Equations

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

Research output: Contribution to journalArticle

Cartan matrix
Higgs
Vortex
Cartan subalgebra
Existence theory

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: Contribution to journalArticle

Geometry
Acoustics
Scattering
Costs
Energy
Ginzburg-Landau
Sobolev inequality
Ginzburg-Landau equation
Gauge field
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: Book/ReportBook

Linear algebra

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: Contribution to journalArticle

Isoperimetric inequality
Borel measure
Reverse
Convex body
Euclidean
Layered media
Scattering
Layer potentials
Half-space
Integral representation

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: Contribution to journalArticle

Vector spaces
Maxwell equations
Boundary value problems
Mathematical operators
Boundary conditions

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: Contribution to journalArticle

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: Contribution to journalArticle

equations of state
universe
gases
two fluid models
soaps

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: Contribution to journalArticle

Equation of state
Roulette
Quadratic equation
Exponential growth
Chebyshev

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: Contribution to journalArticle

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: Contribution to journalArticle

vortices
impurities
products
energy
existence theorems
2014

A concise text on advanced linear algebra

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

Research output: Book/ReportBook

Linear algebra
Fundamental theorem of algebra
Cayley-Hamilton theorem
Quantum mechanics
Exercise
Electric field
electric fields
Layered media
Green's function
Green's functions

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: Contribution to journalArticle

Cramer-Rao bounds
inequality
Random variables
Boundary conditions
parameter

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: Contribution to journalArticle

Vortex
Distinct
Model
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: Contribution to journalArticle

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: Contribution to journalArticle

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: Contribution to journalArticle

solitary waves
domain wall
configurations
crystals
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: Contribution to journalArticle

Vortex flow
Optical vortex
Wave propagation
Vortex
Mountain pass theorem

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: Contribution to journalArticle

Vortex
existence theorems
vortices
Gauge symmetry
Existence and uniqueness theorem

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: Contribution to journalArticle

Chebyshev
Theorem

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: Contribution to journalArticle

universe
equations of state
theorems
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: Contribution to journalArticle

half spaces
Green's functions
Helmholtz equations
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: Contribution to journalArticle

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: Contribution to journalArticle

Factor XI Deficiency
Magnetic fields
Galantamine
FIGLU Test
Cholestenones

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: Contribution to journalArticle

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: Contribution to journalArticle

entropy
inequality
Entropy
standard

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: Contribution to journalArticle

Maxwell's equations
Harmonic
Maxwell equations
Permittivity
Dielectric constant

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: Contribution to journalArticle

Water Supply
Biomass
Water
Vegetation
Water Resources

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: Contribution to journalArticle

quadratures
operators
expansion
evaluation
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: Contribution to journalArticle

Vortex
Master equation
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: Contribution to journalArticle

Banach spaces
Cones
Unit sphere
Unit ball
Analogy
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: Contribution to journalArticle

Electrostatics
Actuator
actuators
electrostatics
Voltage

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: Contribution to journalArticle

solitary waves
monopoles
quantum chromodynamics
energy