
Subject Areas on Research

(2, 2)Superconformal field theories near orbifold points

A Generalization of Schur–Weyl Duality with Applications in Quantum Estimation

A Gårding domain for quantum fields

A Simple Derivation of Mean Field Limits for Quantum Systems

A characterization of subsystems in physics

A direct procedure on the integrability of nonisospectral and variablecoefficient MKdV equation

A generalized method and general form solutions to the WhithamBroerKaup equation

A mathematical condition for a sublattice of a propositional system to represent a physical subsystem, with a physical interpretation

A mathematical theory of stochastic microlensing. I. Random time delay functions and lensing maps

A mathematical theory of stochastic microlensing. II. Random images, shear, and the KacRice formula

A multiinterval Chebyshev collocation approach for the stability of periodic delay systems with discontinuities

A multiple Riccati equations rational expansion method and novel solutions of the BroerKaupKupershmidt system

A new Jacobi elliptic function rational expansion method and its application to (1 + 1)dimensional dispersive long wave equation

A new Riccati equation rational expansion method and its application to (2 + 1)dimensional Burgers equation

A novel chaotic encryption scheme based on arithmetic coding

A novel method for designing Sboxes based on chaotic maps

A series of new solitonlike solutions and doublelike periodic solutions of a (2 + 1)dimensional dispersive long wave equation

A spectral element approach for the stability analysis of timeperiodic delay equations with multiple delays

A study of the regularized liddriven cavity's progression to chaos

A universal magnification theorem for higherorder caustic singularities

A universal magnification theorem. II. Generic caustics up to codimension five

A universal magnification theorem. III. Caustics beyond codimension 5

A variational perspective on cloaking by anomalous localized resonance

Absolutely continuous spectrum of onedimensional Schrödinger operators and Jacobi matrices with slowly decreasing potentials

Adventures of the coupled YangMills oscillators: I. Semiclassical expansion

Adventures of the coupled YangMills oscillators: II. YMHiggs quantum mechanics

Almost commuting matrices, localized Wannier functions, and the quantum Hall effect

An application of hyperdifferential operators to holomorphic quantization

An experimental impact oscillator

An experimental impact oscillator

An extended method for obtaining Sboxes based on threedimensional chaotic Baker maps

An integral transform related to quantization

An integral transform related to quantization. II. Some mathematical properties

An intensityexpansion method to treat nonstationary time series: An application to the distance between prime numbers

An uncertainty principle for fermions with generalized kinetic energy

Analytical error analysis of Clifford gates by the faultpath tracer method

Applications of singularity theory to gravitational lensing. I. Multiple lens planes

Approximate criterion for capsize based on deterministic dynamics

Arnold's singularity theory and gravitational lensing

AutoBäcklund transformation and exact solutions for modified nonlinear dispersive mK(m,n) equations

Biomixing by chemotaxis and efficiency of biological reactions: The critical reaction case

Blowup, Zero α Limit and the Liouville Type Theorem for the EulerPoincaré Equations

Bogoliubov corrections and trace norm convergence for the Hartree dynamics

Bounds on number of cusps due to point mass gravitational lenses

Calabi–Yau Monopoles for the Stenzel Metric

Comment on "On the imaginaryreal ratio rule of power spectra" [J. Math. Phys. 50, 063301 (2009)]

Comment on 'largeN theory of strongly commensurate dirty bosons: Absence of a transition in two dimensions'

Computation of superpotentials for Dbranes

Conservation laws and selfconsistent sources for a super integrable equation hierarchy

Conservation laws of discrete Lax equations

Constructing measures for path integrals

Continuity statements and counterintuitive examples in connection with Weyl quantization

Dbrane bound states redux

Darboux transformation and multisoliton solutions for some soliton equations

Derivation of the Bogoliubov Time Evolution for a Large Volume MeanField Limit

Derivation of the Time Dependent Gross–Pitaevskii Equation in Two Dimensions

Derivation of the time dependent GrossPitaevskii equation with external fields

Dynamic and Steady States for MultiDimensional KellerSegel Model with Diffusion Exponent m > 0

Effective Dynamics of a Tracer Particle Interacting with an Ideal Bose Gas

Elliptic equation rational expansion method and new exact travelling solutions for WhithamBroerKaup equations

Ergodicity of 2D NavierStokes equations with random forcing and large viscosity

Escape over a fluctuating barrier: The white noise limit

Exact solutions for a new class of nonlinear evolution equations with nonlinear term of any order

Exact solutions for two nonlinear wave equations with nonlinear terms of any order

Explicit exact solutions for compound KdVtype and compound KdVBurgerstype equations with nonlinear terms of any order

Explicit exact solutions for new general twodimensional KdVtype and twodimensional KdVBurgerstype equations with nonlinear terms of any order

Exponential convergence for the stochastically forced NavierStokes equations and other partially dissipative dynamics

Extended Jacobi elliptic function rational expansion method and abundant families of Jacobi elliptic function solutions to (1 + 1)dimensional dispersive long wave equation

Finite Time Blow Up for a 1D Model of 2D Boussinesq System

Fixed points due to gravitational lenses

Fluxacrosssurfaces theorem for a Dirac particle

Forbidden Regions for Shock Formation in Diffusive Systems

Fractal Behavior of an Asymmetric Rigid Block Overturning Due to Harmonic Motion of a Tilted Foundation

Free Time Evolution of a Tracer Particle Coupled to a Fermi Gas in the HighDensity Limit

G2Monopoles with Singularities (Examples)

General projective Riccati equation method and exact solutions for generalized KdVtype and KdVBurgerstype equations with nonlinear terms of any order

Generalized eigenfunctions for Dirac operators near criticality

Generalized inverse mean curvature flows in spacetime

Gerbes on G2 manifolds

Gibbsian dynamics and ergodicity for the stochastically forced NavierStokes equation

Gradient flow structure and exponential decay of the sandwiched Rényi divergence for primitive Lindblad equations with GNSdetailed balance

Improved kinetic renormalisation group approach to diffusionlimited aggregation

Inaccessible states in timedependent reaction diffusion

Information capacity of a perceptron

Inhomogeneous percolation problems and incipient infinite clusters

Integrability of the modified generalised Vakhnenko equation

Integrable systems and modular forms of level 2

Integrated optical approach to trapped ion quantum computation

Integrated optical approach to trapped ion quantum computation

Inverse scattering transform for the time dependent Schrödinger equation with applications to the KPI equation

Irreversibility implies the occurrence of nonmonotonic power spectra

Jump discontinuities of semilinear, strictly hyperbolic systems in two variables: Creation and propagation

LandauGinzburg to CalabiYau dictionary for Dbranes

Largetime behavior of discrete velocity boltzmann equations

Largetime behavior of the Broadwell model of a discrete velocity gas

Lensing by Kerr black holes. I. General lens equation and magnification formula

Lensing by Kerr black holes. II: Analytical study of quasiequatorial lensing observables

Lightcone matrix product

Lindblad equation and its semiclassical limit of the AndersonHolstein model

Localized bound states of fermions interacting via massive vector bosons

Longtime asymptotics for integrable systems. Higher order theory

Lorentz deformation in the O(4) and lightcone coordinate systems

Massless Dbranes on CalabiYau threefolds and monodromy

MeanField dynamics: Singular potentials and rate of convergence

Measures for more quadratic path integrals

Mirror manifolds in higher dimension

Modified prüfer and EFGP transforms and the spectral analysis of one dimensional schrödinger operators

Monopoles on the BryantSalamon G2manifolds

Morse theory and gravitational microlensing

Multidimensional random walks in random environments with subclassical limiting behavior

Multiplane gravitational lensing. I. Morse theory and image counting

Multiplane gravitational lensing. II. Global geometry of caustics

Multiplane gravitational lensing. III. Upper bound on number of images

Multiresolution diffusion entropy analysis of time series: An application to births to teenagers in Texas

New Weierstrass elliptic function solutions of the Ncoupled nonlinear KleinGordon equations

New delaydependent global asymptotic stability criteria of delayed BAM neural networks

New exact solutions of (2 + 1)dimensional Gardner equation via the new sineGordon equation expansion method

Nonlinear steepest descent asymptotics for semiclassical limit of Integrable systems: Continuation in the parameter space

Nonlocal symmetries related to Bäcklund transformation and their applications

Numerical experiments in a modified BeelerReuter cable model: Initiating fast (Na) and slow (Ca) waves

Observation and investigation of a nonmonotonic period function for an impact oscillator

On Finsler surfaces of constant flag curvature with a Killing field

On Randers spaces of constant flag curvature

On adiabatic pair creation

On characterization of reversible Markov processes by monotonicity of the fluctuation spectral density

On exact solutions of the nonlinear Schrödinger equations in optical fiber

On gravitation theories with limiting curvature

On the algebrogeometric integration of the Schlesinger equations

On the distributions corresponding to bounded operators in the Weyl quantization

On the mean field limit for Brownian particles with Coulomb interaction in 3D

On the sign problem in the HirschFye algorithm for impurity problems

On the solvability of Painlevé II and IV

One electron molecules with relativistic kinetic energy: Properties of the discrete spectrum

Oneelectron relativistic molecules with Coulomb interaction

Orbifolds, the A, D, E family of caustic singularities, and gravitational lensing

Painless nonorthogonal expansions

Particles in a stationary spherically symmetric gravitational field

Quantum chaos in Ga/AlxGa1xAs microstructures

Quantum chaos in Ga/Al_{x}
Ga_{1x}
As microstructures

Quantummechanical path integrals with Wiener measure for all polynomial Hamiltonians. II

Quivers from Matrix Factorizations

Random walk in random environment: A counterexample?

Rational curves and (0, 2)deformations

Remarks on the breakdown of smooth solutions for the 3D Euler equations

Representations of the Poincaré group for relativistic extended hadrons

Sduality in Abelian gauge theory revisited

SU(N) Transitions in MTheory on Calabi–Yau Fourfolds and Background Fluxes

Scalable digital hardware for a trapped ion quantum computer

Selfsimilar asymptotics for linear and nonlinear diffusion equations

Simple systems with anomalous dissipation and energy cascade

Simulation of a toy model with constrained dynamics

Singularities of the one and twopoint mass gravitational lens

Some navigation rules for Dbrane monodromy

Spacetime topology change and stringy geometry a

Special issue on experimental aspects of quantum computing

Stability and the continuum limit of the spinpolarized ThomasFermiDiracvon Weizsäcker model

Stable singularities in string theory

Stationary selforganized fractal structures in an open, dissipative electrical system

Statistics of partial minima

Storage capacity of neural networks: Effect of the fluctuations of the number of active neurons per memory

Studies of perturbed three vortex dynamics

Support properties of the free measure for Boson fields

Surface Hall effect in magnetoelectric media

Symbolic computation and construction of solitonlike solutions for a breaking soliton equation

Symbolic computation and solitons of the nonlinear Schrödinger equation in inhomogeneous optical fiber media

Symbolic computation of exact solutions expressible in rational formal hyperbolic and elliptic functions for nonlinear partial differential equations

Symmetry, full symmetry groups, and some exact solutions to a generalized DaveyStewartson system

Symplectic discretization for spectral element solution of Maxwell's equations

System design for largescale ion trap quantum information processor

The Berry Connection of the Ginzburg–Landau Vortices

The GreenKubo formula, autocorrelation function and fluctuation spectrum for finite Markov chains with continuous time

The Influence of a Nonzero Angle of Attack and Gust Loads on the Nonlinear Response of a Typical Airfoil Section with a Control Surface Freeplay

The TF limit for rapidly rotating bose gases in anharmonic traps

The Weierstrass elliptic function expansion method and its applications in nonlinear wave equations

The damped selfinteraction

The fluxacrosssurfaces theorem under conditions on the scattering state

The function cascade synchronization method and applications

The function cascade synchronization scheme for discretetime hyperchaotic systems

The generalized QS synchronization between the generalized Lorenz canonical form and the Rössler system

The geodesic approximation for lump dynamics and coercivity of the Hessian for harmonic maps

The greenkubo formula for general markov processes with a continuous time parameter

The invariant measure for scattering matrices with block symmetries

The partition function in the WignerKirkwood expansion

The replica method and solvable spin glass model

The stochastic solitonlike solutions of stochastic KdV equations

The structure of internal layers for unstable nonlinear diffusion equations

The thermodynamic limit and the replica method for shortrange random systems

Thermodynamic inequalities for percolation

Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass

Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass II

Topological field theory and rational curves

Topological quantum order: Stability under local perturbations

Towards a new vision of complexity

Two examples illustrating the differences between classical and quantum mechanics

Using information to generate derivative coordinates from noisy time series

Variational Principle of KPP Front Speeds in Temporally Random Shear Flows with Applications

Volume thresholds for quantum fault tolerance

WKB and spectral analysis of onedimensional Schrödinger operators with slowly varying potentials

Wavefronts, caustic sheets, and caustic surfing in gravitational lensing

Wavepackets in Inhomogeneous Periodic Media: Propagation Through a OneDimensional Band Crossing

Wavepackets in inhomogeneous periodic media: Effective particlefield dynamics and Berry curvature

Weak matching rules for quasicrystals

Wiener measures for path integrals with affine kinematic variables

Witten Spinors on Nonspin Manifolds

Keywords of People