Search Results - "Berghaus, David"
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1
On Dirichlet eigenvalues of regular polygons
Published in Journal of mathematical analysis and applications (15-10-2024)“…We prove that the first Dirichlet eigenvalue of a regular N-gon of area π has an asymptotic expansion of the form λ1(1+∑n≥3Cn(λ1)Nn) as N→∞, where λ1 is the…”
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Journal Article -
2
Computation of Laplacian eigenvalues of two-dimensional shapes with dihedral symmetry
Published in Advances in computational mathematics (01-06-2024)“…We numerically compute the lowest Laplacian eigenvalues of several two-dimensional shapes with dihedral symmetry at arbitrary precision arithmetic. Our…”
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Journal Article -
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A Database of Modular Forms on Noncongruence Subgroups
Published 05-01-2023“…We present a database of several hundred modular forms up to and including weight six on noncongruence subgroups of index $\leq 17$. In addition, our database…”
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Journal Article -
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On the computation of modular forms on noncongruence subgroups
Published 27-07-2022“…We present two approaches that can be used to compute modular forms on noncongruence subgroups. The first approach uses Hejhal's method for which we improve…”
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Journal Article -
5
Computation of Laplacian eigenvalues of two-dimensional shapes with dihedral symmetry
Published 24-10-2022“…We numerically compute the lowest Laplacian eigenvalues of several two-dimensional shapes with dihedral symmetry at arbitrary precision arithmetic. Our…”
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Journal Article -
6
Foundation Inference Models for Markov Jump Processes
Published 10-06-2024“…Markov jump processes are continuous-time stochastic processes which describe dynamical systems evolving in discrete state spaces. These processes find wide…”
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Journal Article -
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On Dirichlet eigenvalues of regular polygons
Published 01-03-2021“…We prove that the first Dirichlet eigenvalue of a regular $N$-gon of area $\pi$ has an asymptotic expansion of the form…”
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Journal Article -
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Epidemiologic studies on the detection and clinical risk of bovine paratuberculosis on California dairies
Published 01-01-2006“…Paratuberculosis, or Johne's disease, is a chronic, granulomatous, enteric disease of ruminants caused by Mycobacterium avium ssp. paratuberculosis (MAP)…”
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Dissertation -
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Epidemiologic studies on the detection and clinical risk of bovine paratuberculosis on California dairies
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Dissertation