# Keyword index L

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

- 41/2010 - Quantitative aspects of L-type Ca
**l1-contraction****lagrange multiplier rule**- 43/2002 - Application of a result of Ioffe/Tichomirov to multidimensional control problems of Dieudonn\'e-Rashevsky type

**lagrangian****Lagrangian action functional**- 91/2008 - A smooth pseudo-gradient for the Lagrangian action functional

**Lagrangian and Hamiltonian approach**- 103/2018 - Dynamical Systems induced by Canonical Divergence in dually flat manifolds

**lagrangian fibration****Lagrangian submanifold**- 57/2015 - Lagrangian submanifolds in strict nearly Kähler 6-manifolds

**lamination**- 84/2004 - Laminations dans les espaces projectifs complexes

**lamination convex hull**- 17/2001 - Non-compact lamination convex hulls

**Lamination Microstructure**- 84/2008 - Lamination microstructure in shear deformed copper single crystals

**laminations**- 66/2002 - Singular limit laminations, Morse index, and positive scalar curvature

**landau lifshitz equation**- 123/2005 - Multi-scale analysis of magnetization dynamics driven by external fields

**landau-lifshitz equation**- 26/2002 - Partial regularity for the Landau-Lifshitz equation in small dimensions

**Landen transformation**- 3/2009 - On the Efficient Computation of High-Dimensional Integrals and the Approximation by Exponential Sums

**Laplace equations**- 74/2018 - Circulant matrices and Galois-Togliatti systems

**Laplace integral**- 67/2008 - Higher Asymptotics of Laplace's Approximation

**laplace type operator****Laplace's approximation**- 67/2008 - Higher Asymptotics of Laplace's Approximation

**Laplace-Beltrami**- 72/2007 - Spectral geometry, homogeneous spaces, and differential forms with finite Fourier series

**Laplace-Beltrami Operator**- 72/2007 - Spectral geometry, homogeneous spaces, and differential forms with finite Fourier series

**Laplacian**- 70/2013 - Mesh-Free Canonical Tensor Products for Six-Dimensional Density Matrix: Computation of Kinetic Energy
- 23/2006 - Stability of coupled map networks with delays
- 97/2004 - Graph operations and synchronization of complex networks
- 39/2004 - Synchronization of networks with prescribed degree distributions
- 57/2000 - Heat trace asymptotics of a time dependent process

**Laplacian Flow**- 56/2016 - Characterizing Complex Networks with Forman-Ricci Curvature and Associated Geometric Flows

**large body limit**- 77/2002 - On the large body limit for the Landau-Lifshitz equation in micromagnetics

**large deviation principle**- 42/2013 (
*Lecture note*) - Large Deviations for Stochastic Processes

- 42/2013 (
**large deviation theory**- 39/2007 - The Allen-Cahn action functional in higher dimensions

**large deviations**- 86/2018 - A generalization of Strassen's Positivstellensatz and its application to large deviation theory
- 9/2008 - Large Deviations For The Stochastic Shell Model of Turbulence
- 93/2007 - About large deviations for empirical path measures of cycle counts of integer partitions and their relation to systems of Bosons
- 77/2007 - Interacting Brownian motions and the Gross-Pitaevskii formula
- 71/2007 - C
^{*}-algebraic approach to the Bose-Hubbard model - 13/2007 - Large deviations for empirical path measures in cycles of integer partitions
- 114/2006 - Asymptotic Feynman-Kac Formulae for Large Symmetrised Systems of Random walks
- 36/2006 - Large deviations for many Brownian bridges with symmetrised initial-terminal condition
- 119/2005 - Large systems of path-repellent Brownian motions in a trap at positive temperature
- 70/2005 - Tunneling in two dimensions
- 89/2004 - Large deviations for trapped interacting Brownian particles and paths

**large-scale regularity**- 47/2016 - A Liouville theorem for elliptic systems with degenerate ergodic coefficients

**largest eigenvalue****latent variable model**- 87/2018 - Restricted Boltzmann Machines: Introduction and Review

**latent variables**- 59/2016 - The Inflation Technique for Causal Inference with Latent Variables

**lateral matching**- 34/2001 - A Gamma-convergence result for the two-gradient theory of phase transitions

**lattice****lattice dynamical systems**- 25/2015 - Spatially discrete reaction-diffusion equations with discontinuous hysteresis

**lattice potential sums**- 19/2015 - Tensor Numerical Methods in Quantum Chemistry: from Hartree-Fock Energy to Excited States

**lattice spin systems****lattice summation**- 62/2014 - Tensor Approach to Linearized Hartree-Fock Equation for Lattice-type and Periodic Systems

**Lattice sums****Lattice-free description of dislocations**- 111/2013 - Study of a model for reference-free plasticity

**lattice-rotation-model**- 74/2005 - A mesoscopic model for helical bacterial flagella

**lattice-structured and quasi-periodic systems**- 63/2015 - A fast iteration method for solving elliptic problems with quasiperiodic coefficients

**lattice-to-continuum limit**- 63/2006 - Analysis and numerical simulation of magnetic forces between rigid polygonal bodies. Part I: Analysis

**lattice-to-continuum theories****laundau-lifshitz equation**- 77/2002 - On the large body limit for the Landau-Lifshitz equation in micromagnetics

**law of large numbers**- 16/2013 - Computing medians and means in Hadamard spaces

**Lawvere metric spaces**- 76/2018 - Stochastic order on metric spaces and the ordered Kantorovich monad

**LCD**- 33/2010 - Achieving precise display timing in visual neuroscience experiments

**leaky integrate-and-fire model**- 45/2018 - Stochastic FitzHugh-Nagumo neuron model in excitable regime embeds a leaky integrate-and-fire model

**learning****least-squares solution**- 35/2009 - Least-squares hp/spectral element method for elliptic problems

**left monotonicity**- 40/2017 - On extractable shared information

**legendre**- 80/2002 - Closed Legendre geodesics in Sasaki manifolds

**leibniz bracket**- 96/2005 - Metriplectic Structure, Leibniz Dynamics and Dissipative Systems

**Level sets**- 44/2006 - On the De Giorgi Conjecture in Half spaces

**levy process**- 100/2005 - Brownian motion of fractal particles: L\'evy flights from white noise

**Levy-type process**- 109/2006 - The Cauchy problem and the martingale problem for integro-differential operators with non-smooth kernels

**Lie algebra****Lie algebra cohomology**- 81/2006 - The nonholonomic Riemann and Weyl tensors for flag manifolds

**Lie algebras**- 145/2006 - Decompositions of the tensor products of irreducible 𝔰𝔩(2)-modules in characteristic 3
- 89/2006 - Sylvester-’t Hooft generators of sl(n) and gl(n|n), and relations between them
- 79/2006 - Non-degenerate bilinear forms in characteristic 2, related contact forms, simple Lie algebras and superalgebras

**lie algebras and symmetries**- 66/2005 - Classification of infinitesimal symmetries in covariant classical mechanics

**Lie superalgebra****Lie superalgebra**- 7/2006 (
*Technical report*) - {\bf SuperLie}. A package for Lie algebra and Super Algebra computations in {\it Mathematica} software system - 132/2006 - Towards classification of simple finite dimensional modular Lie superalgebras
- 131/2006 - On realizations of the Steenrod algebras
- 129/2006 - Explicit realization of induced and coinduced modules over Lie superalgebras by differential operators
- 125/2006 - Cartan matrices and presentations of the exceptional simple Elduque Lie superalgebra

- 7/2006 (
**Lie superalgebras****Lie-Trotter-Kato formula**- 18/2013 - A new proof of the Lie-Trotter-Kato formula in Hadamard spaces

**Lightlike hypersurface**- 38/2011 - Screen conformal lightlike geometry in indefinite Kenmotsu space forms

**Lightlike hypersurfaces, Screen distribution,**- 38/2009 - On Lightlike Geometry in Indefinite Kenmotsu Manifolds

**line tension**- 76/2004 - A variational model for dislocations in the line tension limit

**linear codes****Linear Connections**- 90/2006 - A Note on the Square of Dirac Type Differential Operators

**linear decay rates**- 22/2007 - A Sobolev-type inequality with applications

**linear elasticity**- 30/2004 - On the path of a quasistatic crack in Mode III

**linear inequalities**- 16/2011 - On Solution Sets of Information Inequalities

**linear threshold function**- 98/2014 - When Does a Mixture of Products Contain a Product of Mixtures?

**linearization****linearized elasticity**- 68/2006 - A Γ-convergence result for thin martensitic films in linearized elasticity

**linearized Fock operator**- 12/2017 - Block circulant and Toeplitz structures in the linearized Hartree-Fock equation on finite lattices: tensor approach

**linearly coupled map lattices**- 112/2006 - Global synchronization of discrete time dynamical network with a directed graph

**linearly ordered abelian group**- 113/2007 - Algebraic, Tropical, and Fuzzy Geometry

**Liouviille**- 72/2006 - An L
^{p}two well Liouville Theorem

- 72/2006 - An L
**liouville equation**- 51/2002 - On a nonlinear elliptic equation arising in a free boundary problem

**liouville theorem**- 47/2016 - A Liouville theorem for elliptic systems with degenerate ergodic coefficients
- 75/2014 - Existence and Liouville theorems for V-harmonic maps from complete manifolds
- 66/2014 - Gradient Estimates and Liouville Theorems for Dirac-harmonic maps
- 23/2014 - Liouville theorems for f-harmonic maps into Hadamard spaces
- 43/2007 - Liouville Theorems for Dirac-Harmonic Maps
- 21/2004 - A Two Well Liouville Theorem

**lipschitz**- 106/2002 - A short proof of the self-improving regularity of quasiregular mappings.

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

**lipschitz regularity of hamilton-jacobi equations**- 53/2004 - Large-time behavior for viscous and non-viscous Hamilton-Jacobi equations forced by additive noise

**liquid bridge**- 69/1999 - Liquid bridges, edge blobs, and Scherk-type capillary surfaces

**liquid crystals****liquid drops**- 20/1997 - Vertex theorems for capillary drops on support planes

**littlewood-paley decomposition**- 41/2005 - Compactness and Sobolev-Poincaré inequalities for solutions of kinetic equations

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

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

**local clustering**- 21/2011 - Ollivier's Ricci curvature, local clustering and curvature dimension inequalities on graphs

**local equilibrium**- 63/2016 - Spacetime Dependence of Local Temperature in Relativistic Quantum Field Theory

**Local Equivalence****local estimates**- 43/2005 - Conformal deformations of the smallest eigenvalue of the Ricci tensor

**Local invariant**- 75/2007 - Representation Class and Geometrical Invariants of Quantum States under Local Unitary Transformations

**local KMS condition**- 63/2016 - Spacetime Dependence of Local Temperature in Relativistic Quantum Field Theory

**Local monotonicity**- 9/2008 - Large Deviations For The Stochastic Shell Model of Turbulence

**local refinement**- 38/2007 - Convolution of hp-functions on locally refined grids - extended version

**Local synchronization**- 66/2006 - Synchronization analysis of linearly coupled systems described by differential equations with a coupling delay

**local thermal equilibrium****local unitary transformat**- 26/2006 - Invariants for a Class of Nongeneric Three-qubit States

**local unitary transformation**- 109/2005 - Equivalence of Tripartite Quantum States under Local Unitary Transformations

**local unitary transformations****localization**- 49/2004 - Examples of nonlinear homogenization in plane strain involving degenerate energies

**locally conformally flat**- 96/2003 - Application of The Method of Moving Planes to Conformally Invariant Equations

**logarithmic potential**- 56/2006 - Convergence to Equilibrium for the Cahn-Hilliard Equation with a Logarithmic Free Energy

**Logarithmic Sobolev inequality****loglikelihood surrogate**- 25/2018 - Tucker tensor analysis of Matérn functions in spatial statistics

**Lojasiewicz-Simon inequality**- 56/2006 - Convergence to Equilibrium for the Cahn-Hilliard Equation with a Logarithmic Free Energy

**long domain**- 101/2018 - Numerical approximation of Poisson problems in long domains

**long range hopping**- 71/2007 - C
^{*}-algebraic approach to the Bose-Hubbard model

- 71/2007 - C
**long-range interactions**- 39/2016 - Range-separated tensor formats for numerical modeling of many-particle interaction potentials

**long-range many-particle interactions**- 12/2019 - Computing electrostatic potentials using regularization based on the range-separated tensor format

**long-range potential sums**- 65/2015 - Fast tensor method for summation of long-range potentials on 3D lattices with defects

**long-range potentials**- 88/2014 - Tucker tensor method for fast grid-based summation of long-range potentials on 3D lattices with defects

**loop quantum gravity**- 105/2005 - Construction of Generalized Connections

**loop Virasoro algebra**- 40/2009 - Euler-Poincaré Flows on the Loop Bott-Virasoro Group and Space of Tensor Densities and 2 + 1 Dimensional Integrable Systems

**Lopatinski determinant**- 35/2006 - Normal modes and nonlinear stability behaviour of dynamic phase boundaries in elastic materials

**Lopatinski function**- 26/2007 - Dynamic stability of martensite twins under regular kinetics

**lorentz manifold**- 55/2005 - Affine curvature homogeneous 3 dimensional Lorentz manifolds

**Lorentzian manifold****Low Rank****low rank approximation**- 35/2016 - Low Rank Tensor Methods in Galerkin-based Isogeometric Analysis
- 84/2005 - Nonlinear multigrid for the solution of large scale Riccati equations in low-rank and -matrix format
- 48/2004 - A Multigrid Method to Solve Large Scale Sylvester Equations
- 48/2003 - Existence and Computation of a Low Kronecker-Rank Approximant to the Solution of a Tensor System with Tensor Right-Hand Side

**low--lying eigenstates**- 59/2013 - Computation of extreme eigenvalues in higher dimensions using block tensor train format

**low-rank approximation****low-rank Cholesky factorization**- 19/2015 - Tensor Numerical Methods in Quantum Chemistry: from Hartree-Fock Energy to Excited States

**low-rank matrices**- 12/2011 - Low-rank Tensor Structure of Solutions to Elliptic Problems with Jumping Coefficients
- 6/2006 - Structured Rank-(r
_{1},...,r_{d}) Decomposition of Function-related Tensors in ℝ^{d} - 112/2005 - Approximate Iterations for Structured Matrices
- 35/2003 - Hierarchical Kronecker tensor-product approximations

**low-rank matrix****low-rank representation**- 36/2011 - Multilevel Toeplitz matrices generated by QTT tensor-structured vectors and convolution with logarithmic complexity

**low-rank tensor approximationform**- 25/2018 - Tucker tensor analysis of Matérn functions in spatial statistics

**low-rank tensor decomposition**- 104/2018 - Range-separated tensor representation of the discretized multidimensional Dirac delta and elliptic operator inverse

**low-rank tensor decompositions**- 12/2019 - Computing electrostatic potentials using regularization based on the range-separated tensor format

**lower bound****lower bounds**- 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:
**Lower bounds for Dirichlet eigenvalues**- 87/2013 - Lower bounds of Dirichlet eigenvalues for degenerate elliptic operators and degenerate Schrödinger operators

**lower semi-continuity**- 24/2009 - Properties of the Statistical Complexity Functional and Partially Deterministic HMMs

**lower semicontinuity****lower semicontinuous quasiconvex envelope**- 68/2008 - Quasiconvex relaxation of multidimensional control problems with integrands f(t,ξ,v)

**lu****lubrication equations****lubrication theory**- 77/2014 - Well-Posedness and Self-Similar Asymptotics for a Thin-Film Equation
- 1/2014 - Well-posedness for the Navier-Slip Thin-Film Equation in the Case of Complete Wetting
- 74/2000 - Droplet spreading: intermediate scaling law by PDE methods
- 32/2000 - Variational formulation for the lubrication approximation of the Hele-Shaw flow

**lumping****lyapunov equation****Lyapunov exponent**- 48/2007 - Synchronization of discrete-time dynamical networks with time-varying couplings

**Lyapunov exponents**- 83/2007 - Entropy, dimension, and state mixing in a class of time-delayed dynamical systems

**Lyndon words**- 91/2018 - The rough Veronese variety

**L\'evy measures**- 53/2008 - On hypoellipticity of generators of L\'{e}vy processes

**L\'evy processes**- 53/2008 - On hypoellipticity of generators of L\'{e}vy processes