Search Results - "Langer, Matthias"
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Path Laplacian operators and superdiffusive processes on graphs. I. One-dimensional case
Published in Linear algebra and its applications (15-06-2017)“…We consider a generalization of the diffusion equation on graphs. This generalized diffusion equation gives rise to both normal and superdiffusive processes on…”
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Exploring a quantitative assessment approach for car dependence: A case study in Munich
Published in Journal of transport and land use (01-01-2023)“…While discussions are ongoing about the exact meaning of car dependence, its assessment has been primarily qualitative. The few quantitative approaches adopted…”
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3
Trace formulae and singular values of resolvent power differences of self‐adjoint elliptic operators
Published in Journal of the London Mathematical Society (01-10-2013)“…In this note, self‐adjoint realizations of second‐order elliptic differential expressions with non‐local Robin boundary conditions on a domain Ω ⊂ ℝn with…”
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4
Spectrum of J-frame operators
Published in Rocznik Akademii Górniczo-Hutniczej im. Stanisława Staszica. Opuscula Mathematica (2018)“…A \(J\)-frame is a frame \(\mathcal{F}\) for a Krein space \((\mathcal{H},[\cdot,\cdot ])\) which is compatible with the indefinite inner product…”
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5
Mechanosensitive ion channels investigated simultaneously by scanning probe microscopy and patch clamp
Published in Methods in molecular biology (Clifton, N.J.) (2007)“…Mechanosensitive ion channels play an important role for the perception of mechanical signals such as touch, balance, or sound. Here, a new experimental…”
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6
A general HELP inequality connected with symmetric operators
Published in Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences (08-02-2006)“…In this paper, a general HELP (Hardy–Everitt–Littlewood–Pólya) inequality is considered which is connected with a symmetric operator in a Hilbert space and…”
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Spectral Estimates for Resolvent Differences of Self-Adjoint Elliptic Operators
Published in Integral equations and operator theory (01-09-2013)Get full text
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8
Distributed Training of Deep Learning Models: A Taxonomic Perspective
Published in IEEE transactions on parallel and distributed systems (01-12-2020)“…Distributed deep learning systems (DDLS) train deep neural network models by utilizing the distributed resources of a cluster. Developers of DDLS are required…”
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Schrödinger Operators with δ and δ′-Potentials Supported on Hypersurfaces
Published in Annales Henri Poincaré (01-03-2013)“…Self-adjoint Schrödinger operators with δ and δ ′-potentials supported on a smooth compact hypersurface are defined explicitly via boundary conditions. The…”
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The radial hedgehog solution in the Landau–de Gennes theory: Effects of the bulk potentials
Published in Physica. D (01-03-2024)Get full text
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Triple variational principles for self-adjoint operator functions
Published in Journal of functional analysis (15-03-2016)“…For a very general class of unbounded self-adjoint operator functions we prove upper bounds for eigenvalues which lie within arbitrary gaps of the essential…”
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12
Lateral Mechanical Coupling of Stereocilia in Cochlear Hair Bundles
Published in Biophysical journal (01-06-2001)“…For understanding the gating process of transduction channels in the inner ear it is essential to characterize and examine the functional properties of the…”
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13
MPCA SGD-A Method for Distributed Training of Deep Learning Models on Spark
Published in IEEE transactions on parallel and distributed systems (01-11-2018)“…Many distributed deep learning systems have been published over the past few years, often accompanied by impressive performance claims. In practice these…”
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14
Canonical systems whose Weyl coefficients have dominating real part
Published in Journal d'analyse mathématique (Jerusalem) (2024)“…For a two-dimensional canonical system y ′ ( t ) = zJH ( t ) y ( t ) on the half-line (0, ∞) whose Hamiltonian H is a.e. positive semi-definite, denote by q H…”
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15
Spectral concentrations and resonances of a second–order block operator matrix and an associated λ–rational Sturm-Liouville problem
Published in Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences (08-12-2004)“…in the space…”
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16
Exploring a quantitative assessment approach for car dependence: A case study in Munich
Published in Journal of transport and land use (01-03-2023)“…While discussions are ongoing about the exact meaning of car dependence, its assessment has been primarily qualitative. The few quantitative approaches adopted…”
Get full text
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17
Discrete fragmentation systems in weighted $$\pmb {\ell ^{1}}$$ spaces
Published in Journal of evolution equations (01-12-2020)“…Abstract We investigate an infinite, linear system of ordinary differential equations that models the evolution of fragmenting clusters. We assume that each…”
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18
Causes and consequences of endogenous hypoxia on growth and metabolism of developing maize kernels
Published in Plant physiology (Bethesda) (31-05-2023)“…Abstract Maize (Zea mays) kernels are the largest cereal grains, and their endosperm is severely oxygen deficient during grain fill. The causes, dynamics, and…”
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Distributional representations of Nκ(∞)-functions
Published in Mathematische Nachrichten (01-07-2015)“…The subclasses Nκ(∞) of the classes Nκ of generalized Nevanlinna functions appear in the context of Pontryagin space models, where they correspond to model…”
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Discrete fragmentation systems in weighted ℓ1 spaces
Published in Journal of evolution equations (2020)“…We investigate an infinite, linear system of ordinary differential equations that models the evolution of fragmenting clusters. We assume that each cluster is…”
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