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‎index.html‎

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@@ -77,7 +77,7 @@ <h2>Basis Function Expansions for Cosmological Simulations</h2>
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<h2>Basis Function Expansion for Analytic Theorists</h2>
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<h2>Basis Function Expansions for Analytic Theorists</h2>
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<a href="images/fulls/06.jpg" class="image"><img src="images/thumbs/06.jpg" alt="" /></a>
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<h2>Basis Function Expansions for N-body Dynamical Simulations</h2>
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<p>Basis function expansions (BFEs) can be used to both run and analyze dynamical N-body simulations. The EXP
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collaboration - spearheaded by Martin Weinberg - has developed eponymous code to perform both of these
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functions. EXP uses BFEs to represent the potential and mass distributions of the star and dark
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matter particles of a galaxy to run simulations significantly faster than alternate techniques. The
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theory underpinning BFE simulations and the implementation are discussed in
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more detail in the <a href="https://exp-docs.readthedocs.io/en/latest/topics/multistep.html"readthedocs></a>,
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as well as these papers (<a href="https://ui.adsabs.harvard.edu/abs/1999AJ....117..629W/abstract"1></a>,
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<a href="https://ui.adsabs.harvard.edu/abs/2022MNRAS.510.6201P/abstract"2></a>).</p>
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<p>The resulting simulations have both particle-based snapshot data and basis function information, including
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the basis and time-evolving coefficients. These data can be used together to provide unique insight into
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the underlying dynamics. EXP can also be run on simulations that were produced with different software,
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including cosmological simulations, to provide BFEs at each time step. See below for
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examples that use either or both of these functionalities of EXP.</p>
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<p> Your paper links here!</p>
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<h2>Basis Function Expansions for Observational Insight</h2>
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<p>Two dimensional basis function expansions can also be performed on observational data. Such 2D expansions
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on image data describe the light (stellar) distribution in a galaxy, and provide a language for succinctly,
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quantitatively summarizing the morphological features. We adopt a Fourier-Laguerre basis for image data,
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which captures both the angular (Fourier) and radial (Laguerre) information. These expansions are also
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how we map an image of a galaxy to a sound via sonification. We are currently developing a framework for
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expansions of integral field spectrograph data, which will allow for analyses of both velocity and chemical
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information. </p>
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<p> Interested in learning more? Check out these papers:</p>
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<p> <a href="https://ui.adsabs.harvard.edu/abs/2024arXiv241111972G/abstract" Disc asymmetry characterisation in JWST-observed galaxies></a> + blurb</p>
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<h2>Basis Function Expansions for Sonification</h2>
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<p>The light profile of a galaxy image can be described with a Fourier-Laguerre basis function expansion.
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The resulting expansion has both angular (Fourier, m) terms and radial (Laguerre, n) terms and a series
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of coefficient weights. While we typically plot these terms and weights for a visual representation, we
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can also present these same data with sounds. In plotting these data, we might decide that the n-terms
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are along the x-axis and the m-terms are along the y-axis, with the coefficient values making a heatmap.
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Similarly, we could choose to map the n-terms to notes on a given scale, the m-terms to octaves, and the
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coefficient amplitudes to volume. This mapping of data to sound is called sonification.</p>
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<p> We are pioneering the use of basis function expansions for sonfication. As part of this work, we have
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created a GalaxyZoo project to determine the efficacy of classifying galaxy morphology through sounds,
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or aural classification. Check out the project here (LINK COMING SOON) to test your own aural
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classification skills! </p>
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<h2>How to get started</h2>
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<p>We have built and compiled a variety of resources to help you get started with EXP and basis function expansions!</p>
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