# Keyword index N

**n/d problem**- 63/2005 - Heat content asymptotics for Riemannian manifolds with Zaremba boundary conditions

**Naive Bayes Model**- 106/2014 - Discrete Restricted Boltzmann Machines

**Nambu Mechanics**- 89/2007 - Quasi-Hamiltonian structure and Hojman construction II: Nambu Mechanics and Nambu-Poisson structures

**natural gradient****natural scene statistics****naturally reductive space**- 12/2002 - Connections on naturally reductive spaces, their Dirac operator and homogeneous models in string theory

**Navier Stokes equations**- 19/2009 - Non-homogeneous Navier-Stokes systems with order-parameter dependent stresses

**navier-stokes****Navier-Stokes equation****navier-stokes equations****nearly Kaehler manifold**- 135/2006 - Relating the curvature tensor and the complex Jacobi operator of an almost Hermitian manifold

**nearly Kähler 6-manifold**- 57/2015 - Lagrangian submanifolds in strict nearly Kähler 6-manifolds

**neck analysis**- 41/2018 - Geometric analysis of a mixed elliptic-parabolic conformally invariant boundary value problem
- 37/2018 - Asymptotic analysis for Dirac-harmonic maps from degenerating spin surfaces and with bounded index
- 71/2017 - Asymptotic analysis and qualitative behavior at the free boundary for Sacks-Uhlenbeck α-harmonic maps

**Néel wall**- 52/2010 - A compactness result for Landau state in thin-film micromagnetics

**néel walls**- 17/2002 - Repulsive interaction of N\'{e}el walls, and the internal length scale of the cross--tie wall

**negative feedback**- 26/2005 - Making waves: Pattern formation by a cell surface-associated signal

**negativity**- 53/2012 - Improved bounds on negativity of superpositions

**neighborhood graph****nested bases****nested dissection****Network****network evolution**- 77/2008 - Preferential attachment renders an evolving network of populations robust against crashes

**network information flow**- 14/2006 - Geometric robustness theory and biological networks

**network motifs**- 61/2011 - Random Graphs with Motifs

**networks**- 31/2011 - Complex transitions to synchronization in delay-coupled networks of logistic maps
- 97/2004 - Graph operations and synchronization of complex networks
- 39/2004 - Synchronization of networks with prescribed degree distributions
- 102/2003 - On the emergence of complex systems on the basis of the coordination of complex behaviors of their elements

**neumann problem**- 67/1999 - Blowup in a chemotaxis model without symmetry assumptions

**neural computation**- 99/2013 - Efficient coding of spectrotemporal binaural sounds leads to emergence of the auditory space representation

**neural field equations**- 26/2001 - Dynamic approximation of spatio-temporal receptive fields in nonlinear neural field models
- 15/2001 - Nonlinear analysis of spatio-temporal receptive fields:

III. RF-reconstruction from mean-field approximations - 10/2001 - Nonlinear analysis of spatio-temporal receptive fields:

I. Dynamic approximation method

**neural field models****neural fields****Neural models**- 6/2009 - Inverse stochastic resonance in neuronal models: modulation and inhibition of rhythmic spiking by noise

**neural nets**- 15/2011 - Selection Criteria for Neuromanifolds of Stochastic Dynamics

**neural network****neural networks**- 71/2011 - Information storage, loop motifs and clustered structure in complex networks
- 27/2011 - Expressive Power and Approximation Errors of Restricted Boltzmann Machines
- 10/2003 - Why verb-initial languages are not frequent
- 89/2002 - Total and partial amplitude death in networks of diffusively coupled oscillators
- 52/2002 - Information-theoretic grounding of finite automata in neural systems

**neurobiology****neuron**- 88/2004 - On the possible use of ICA to identify synaptic inputs from observations of several neurons

**neuronal ensemble**- 91/2003 - Spontaneous and evoked activity in extended neural populations with gamma-distributed spatial interactions and transmission delay

**Neuronal modeling**- 32/2010 - The effects of various spatial distributions of weak noise on rhythmic spiking

**Neuronal models**- 41/2010 - Quantitative aspects of L-type Ca
^{2+}currents

- 41/2010 - Quantitative aspects of L-type Ca
**neuronal networks**- 46/2009 - Synchronized chaos in networks of simple units

**neuronal populations**- 71/2005 - Analysis of nonlocal neural fields for both general and gamma-distributed connectivities

**neutral equilibrium**- 99/2007 - Floating bodies in neutral equilibrium

**Neveu-Schwarz****newell-littlewood theorem**- 48/2005 - New branching rules induced by plethysm

**Newton**- 60/2008 - Black Box Low Tensor Rank Approximation using Fibre-Crosses

**Newton method**- 51/2016 - Perturbation of higher-order singular values

**newton potential****Newton/Yukawa potentials**- 79/2008 - Low-rank quadrature-based tensor approximation of the Galerkin projected Newton/Yukawa kernels

**newtonian fluid**- 51/2001 - Temporal asymptotics for the p'th power newtonian fluid in one space dimension

**nickel-titanium alloys**- 87/2008 - Energy barriers and hysteresis in martensitic phase transformations

**Nijenhuis bracket**- 84/2006 - On the Bott-Borel-Weil and Tolpygo theorems

**nilpotent group**- 12/2014 - Shadowing for actions of some finitely generated groups.

**nilpotent groups**- 57/2012 - Linear and projective boundary of nilpotent groups

**nilpotent lie algebras**- 52/2005 - Nilpotent metric Lie algebras of small dimension

**nilpotent orbit**- 90/2014 - Harmonic maps and singularities of period mappings

**nirenberg problem**- 27/1998 - Multiplicity results for the two-vortex Chern-Simons Higgs model on the two-sphere

**no neck**- 65/2016 - Blow-up analysis for approximate Dirac-harmonic maps in dimension 2 with applications to the Dirac-harmonic heat flow
- 38/2016 - Bubbling analysis near the Dirichlet boundary for approximate harmonic maps from surfaces
- 26/2016 - The qualitative behavior at the free boundary for approximate harmonic maps from surfaces

**no-slip boundary condition****nodal domain theorem**- 73/2005 - Nodal Domain Theorems and Bipartite Subgraphs

**nodal sets**- 19/2014 - Nodal Sets of Steklov Eigenfunctions

**Noether's theorem**- 24/2017 - Symmetries and conservation laws of a nonlinear sigma model with gravitino

**noise**- 5/2013 - Stationary states in infinite networks of spiking oscillators with noise

**non local dispersal**- 30/2007 - A nonlocal inhomogeneous dispersal process

**non-autonomous perturbation**- 7/2011 - Local attractor continuation of non-autonomously perturbed systems

**non-commutative algebra**- 75/2011 - Information topologies on non-commutative state spaces

**non-convex functional**- 37/2002 - Lower bounds for the two well problem with surface energy I:

Reduction to finite elements

- 37/2002 - Lower bounds for the two well problem with surface energy I:
**non-convex minimization****non-convexity**- 56/2019 - Measuring the local non-convexity of real algebraic curves

**Non-equilibrium network**- 47/2011 - The exponential degree distribution in complex networks: Non-equilibrium network theory, numerical simulation and empirical data

**non-exposed point**- 76/2011 - Duality of non-exposed faces

**non-interpenetration**- 27/2008 - Damage as Gamma-limit of microfractures in linearized elasticity under the non-interpenetration constraint

**non-isothermal phase change**- 71/2000 - Mesoscopic limit for non-isothermal phase transition

**Non-linear Sigma-models**- 83/2015 - The functional of super Riemann surfaces – a “semi-classical” survey

**non-linear wave equations**- 60/2001 - Time-space discretization of the nonlinear hyperbolic system

**non-local interaction**- 31/2005 - Neural fields with distributed transmission speeds and corticothalamic feedback delays

**non-local operators**- 114/2005 - Adaptive variable-rank approximation of general matrices

**non-matching grids**- 24/2001 - Inverse inequalities on non-quasiuniform meshes and application to the Mortar element method

**non-negative characteristic form**- 22/2013 - A classical Perron method for existence of smooth solutions to boundary value and obstacle problems for degenerate-elliptic operators via holomorphic maps

**non-negative curvature**- 75/2003 - A new proof of Cheeger-Gromoll soul conjecture and Takeuchi Theorem

**non-negative tensor rank**- 87/2018 - Restricted Boltzmann Machines: Introduction and Review

**non-positive curvature**- 52/2014 - The Tits alternative for non-spherical triangles of groups

**Non-self-adjoint quadratic eigenvalue problem****non-smooth coefficients**- 8/2005 - Why approximate LU decompositions of finite element discretizations of elliptic operators can be computed with almost linear complexity

**non-smooth domains****Non-standard approach**- 71/2009 - Efficient multi-scale computation of products of orbitals in electronic structure calculations

**non-standard growth conditions**- 12/2003 - -quasiconvexity: weak-star convergence and the gap

**non-stationary Stokes system**- 19/2009 - Non-homogeneous Navier-Stokes systems with order-parameter dependent stresses

**non-uniform grids****noncommutative gauge theories**- 70/2003 - Anomaly freedom in Seiberg-Witten noncommutative gauge theories

**noncommutative gauge theory**- 66/2003 - Local BRST cohomology and Seiberg-Witten maps in noncommutative Yang-Mills theory

**Noncommutative Geometry****noncommutative integrable systems**- 48/2008 - Virasoro Action on Pseudo-differential Symbols and (Noncommutative) Supersymmetric Peakon Type Integrable Systems

**Noncommutative Spacetime**- 36/2012 - Wedge-Local Quantum Fields on a Nonconstant Noncommutative Spacetime

**noncommutative vector bundle**- 92/2018 - Associated noncommutative vector bundles over the Vaksman-Soibelman quantum complex projective spaces

**noncompact manifold**- 75/2014 - Existence and Liouville theorems for V-harmonic maps from complete manifolds

**noncompact manifolds**- 66/2014 - Gradient Estimates and Liouville Theorems for Dirac-harmonic maps

**nonconvex variational problem**- 71/1999 - Optimal existence theorems for nonhomogeneous differential inclusions

**nonconvex variational problems**- 50/1998 - Relaxation of some multi-well problems

**nonholonomic manifold**- 81/2006 - The nonholonomic Riemann and Weyl tensors for flag manifolds

**nonholonomic structures****nonlinear approximation****nonlinear approximation method**- 11/2001 - Nonlinear analysis of spatio-temporal receptive fields:

II. Dynamic properties of V1 simple cells

- 11/2001 - Nonlinear analysis of spatio-temporal receptive fields:
**nonlinear approximation therory**- 24/2001 - Inverse inequalities on non-quasiuniform meshes and application to the Mortar element method

**nonlinear boundary condition**- 8/2003 - Positive solutions of linear elliptic equations with critical growth in the Neumann boundary condition

**nonlinear differential constraint**- 40/2013 - Homogenization of the nonlinear bending theory for plates

**nonlinear diffusion****nonlinear dispersive models****nonlinear elasticity**- 74/2011 - Rigorous derivation of a homogenized bending-torsion theory for inextensible rods from 3d elasticity
- 73/2010 - Commutability of homogenization and linearization at identity in finite elasticity and applications
- 18/2010 - A counter example to weak maximum principles for locally vanishing elliptic operators
- 15/2009 - Convergence of equilibria of thin elastic plates under physical growth conditions for the energy density
- 28/2008 - Asymptotic models for curved rods derived from nonlinear elasticity by Gamma-convergence
- 27/2007 - Convergence of equilibria of thin elastic plates -- the von K\'arm\'an case
- 19/2007 - Existence of minimizers for a polyconvex energy in a crystal with dislocations
- 126/2006 - Convergence of equilibria of three-dimensional thin elastic beams
- 62/2006 - Invertibility and noninvertibility in thin elastic structures
- 13/2003 - A nonlinear model for inextensible rods as a low energy Gamma-limit of three-dimensional nonlinear elasticity
- 33/2002 - The Föppl-von Kármán plate theory as a low energy Gamma limit of nonlinear elasticity

**nonlinear elliptic equations**- 51/2005 - Efficient solution of nonlinear elliptic problems using hierarchical matrices with Broyden updates

**nonlinear elliptic pde****nonlinear gradient term**- 9/2003 - Blow-up of positive solutions of a semilinear parabolic equation with a gradient term

**nonlinear Markov operator**- 55/2014 - The asymptotic behavior of a class of nonlinear semigroups in Hadamard spaces

**nonlinear oscillator**- 85/2006 - Global well-posedness for the Schroedinger equation coupled to a nonlinear oscillator

**Nonlinear parabolic equations****nonlinear partial differential equations**- 49/2002 - Studying nonlinear pde by geometry in matrix space

**nonlinear perturbation**- 31/2019 - α-Dirac-harmonic maps from closed surfaces

**nonlinear plate theory**- 34/2013 - A note on the derivation of homogenized bending plate model

**nonlinear schrödinger equation**- 48/2000 - On self-similar singular solutions of the complex Ginzburg-Landau equation

**nonlinear Schrödinger equation**- 54/2007 - On universality of critical behaviour in the focusing nonlinear Schr\"odinger equation, elliptic umbilic catastrophe and the {\it tritronqu\'ee} solution to the Painlev\'e-I equation
- 133/2006 - Fourth order time-stepping for low dispersion Korteweg-de Vries and nonlinear Schr\"odinger equation

**nonlinear schrödinger equation**- 14/2005 - Semiclassical Limit of the Focusing Nonlinear Schr\"odinger Equation under Barrier Initial Data

**nonlinear sigma model****nonlinear sigma-model****nonlinear spline**- 54/2012 - L
^{2}-flow of elastic curves with knot points and clamped ends

- 54/2012 - L
**nonlinear transport equations**- 65/2003 - Global solutions of nonlinear transport equations for chemosensitive movement

**nonlinear viscoeastic shell****nonlinearities**- 9/2005 - Self-tuning to the Hopf bifurcation in fluctuating systems

**nonlocal evolution equation****nonlocal functionals**- 106/2003 - A nonlocal singular perturbation problem with periodic well potential

**nonlocal games**- 73/2018 - Curious properties of hypergraph C*-algebras

**nonlocal integral functionals**- 9/1997 - A nonlocal anisotropic model for phase transitions

Part II: Asymptotic behaviour of rescaled energies

- 9/1997 - A nonlocal anisotropic model for phase transitions
**nonlocal integro-differential equation**- 1/2004 - Traveling wave speeds of nonlocally perturbed reaction diffusion equations

**nonlocal nonlinear elliptic boudary value problems**- 67/1999 - Blowup in a chemotaxis model without symmetry assumptions

**Nonlocal operators,**- 6/2008 - Some remarks on the strong maximum principle arising in nonlocal operators

**nonlocal problems**- 17/2002 - Repulsive interaction of N\'{e}el walls, and the internal length scale of the cross--tie wall

**nonnegative curvature**- 57/1999 - Geometric Diffeomorphism Finiteness in Low Dimensions and Homotopy Group Finiteness

**nonnegative equilibrium**- 61/2007 - R
_{+}^{n}-global stability of Cohen-Grossberg neural network system with nonnegative equilibria

- 61/2007 - R
**Nonpositive curvature****nonsmooth domains**- 97/2003 - Reaction-Diffusion in Nonsmooth and Closed Domains

**normal**- 32/2012 - Decomposition of Monomial Algebras: Applications and Algorithms

**normal currents**- 78/2014 - On the differentiability of Lipschitz functions with respect to measures in the Euclidean space

**normal hyperbolicity**- 24/2004 - On hyperbolic vectorfields on stratified spaces

**Normalized geometric discord**- 28/2013 - Dynamics of quantum correlations for atoms in independent single-mode cavity

**normalized graph Laplace operator**- 25/2011 - Ollivier-Ricci curvature and the spectrum of the normalized graph Laplace operator

**normalized Laplacian****novikov-morse theory**- 99/2003 - Conley Index Theory and Novikov-Morse Theory

**np-complete**- 32/2005 - Detecting Phylogenetic Footprint Clusters by Optimizing Barbeques

**ntegro-differential operator**- 15/2006 - An Analytic Approach to Purely Nonlocal Bellman Equations Arising in Models of Stochastic Control

**Nuclear cusps**- 70/2013 - Mesh-Free Canonical Tensor Products for Six-Dimensional Density Matrix: Computation of Kinetic Energy

**nucleation and growth**- 87/2008 - Energy barriers and hysteresis in martensitic phase transformations

**Null hypersurface**- 39/2011 - Symmetries of null Geometry in Indefinite Kenmotsu Manifolds

**null lagrangian**- 85/2005 - Sufficient conditions for the validity of the Cauchy-Born rule close to SO(n)

**numerical algorithms**- 136/2006 - Objective molecular dynamics

**numerical approximation**- 57/1998 - Optimization problems with concentration and oscillation effects: relaxation theory and numerical approximation

**numerical cubature****numerical methods**- 55/2010 - Tensor Structured Iterative Solution of Elliptic Problems with Jumping Coefficients

**numerical quadrature****numerical range**- 18/2015 - Continuity of the maximum-entropy inference: convex geometry and numerical ranges approach

**numerical simulation**- 64/2006 - Analysis and numerical simulation of magnetic forces between rigid polygonal bodies. Part II: Numerical Simulation

**numerical tensor calculus**- 70/2010 - On Minimal Subspaces in Tensor Representations

**Nusselt number**