Lattice points in lattice polytopes

U Betke, P McMullen - Monatshefte für Mathematik, 1985 - Springer
IfK is the underlying point-set of a simplicial complex of dimension at mostd whose vertices
are lattice points, and ifG(K) is the number of lattice points inK, then the lattice point …

GPCR mediated regulation of synaptic transmission

KM Betke, CA Wells, HE Hamm - Progress in neurobiology, 2012 - Elsevier
Synaptic transmission is a finely regulated mechanism of neuronal communication. The
release of neurotransmitter at the synapse is not only the reflection of membrane depolarization …

Finite and infinite packings.

M Henk, U Betke, JM Wills - 1994 - degruyter.com
… In section 4 we show that (0.2) even holds for all ρ < 2/J/3 and sufficiently large d (Theorem
4.1). In particular we show that the sausage conjecture (ρ = 1) is true for d ^ 13.387 (Theorem …

A 12.8 mW/channel cryogenic RF-AWG in 14nm FinFET for transmon qubit control

…, J Betke, S Lekuch, J Timmerwilke… - 2024 IEEE European …, 2024 - ieeexplore.ieee.org
A semi-autonomous cryogenic RF arbitrary waveform generator (AWG) is described which
includes a custom low power digital processor, a current mode baseband filter (BBF) with …

Tracking large variable numbers of objects in clutter

M Betke, DE Hirsh, A Bagchi, NI Hristov… - … IEEE Conference on …, 2007 - ieeexplore.ieee.org
We propose statistical data association techniques/or visual tracking of enormously large
numbers of objects. We do not assume any prior knowledge about the numbers involved, and …

New hearing threshold measurements for pure tones under free-field listening conditions

K Betke - The Journal of the Acoustical Society of America, 1991 - pubs.aip.org
Hearing thresholds for pure tones were measured under free-field listening conditions in the
frequency range of 40 Hz–15 kHz. Results are consistent with the standard threshold …

A generalization of Steinhagen's theorem

U Betke, M Henk - Abhandlungen aus dem Mathematischen Seminar der …, 1993 - Springer
… C j, j E {0,.… j=0 IlaJll : 1 and denote by c,,i (d~,/) the right hand side of the inequality i) (ii)).
Now suppose II Zj~M, aJll < Z2~, IlaJll- c..i for all Mi C ~/n. By taking the square and subtracting ~j

Space-time dynamics of the vacuum's polarization charge density

AT Steinacher, J Betke, S Ahrens, Q Su, R Grobe - Physical Review A, 2014 - APS
Using numerical solutions to the quantum-field theoretical Dirac equation, we study the
space-time evolution of the vacuum's polarization charge and current densities induced by an …

Optimized spatial matrix representations of quantum Hamiltonians

QZ Lv, DJ Jennings, J Betke, Q Su, R Grobe - Computer Physics …, 2016 - Elsevier
We examine the accuracy of several approaches to represent the quantum mechanical
Schrödinger, Klein–Gordon and Dirac Hamilton operators by optimized spatial matrices. Two of …

Time-dependent charge renormalization procedure in QED

QZ Lv, J Betke, Q Su, R Grobe - Physical Review A, 2015 - APS
We examine the formation process of the vacuum polarization cloud around a localized
charge with space-time resolution permitting us to view the traditional charge renormalization …