Reconstruction of the primordial Universe by a Monge-Ampere-Kantorovich optimisation scheme Export

@misc{citeulike:2299200, abstract = {A method for the reconstruction of the primordial density fluctuation field is presented. Various previous approaches to this problem rendered <i> non-unique</i> solutions. Here, it is demonstrated that the initial positions of dark matter fluid elements, under the hypothesis that their displacement is the gradient of a convex potential, can be reconstructed uniquely. In our approach, the cosmological reconstruction problem is reformulated as an assignment problem in optimisation theory. When tested against numerical simulations, our scheme yields excellent reconstruction on scales larger than a few megaparsecs.}, archivePrefix = {arXiv}, author = {Mohayaee, R. and Frisch, U. and Matarrese, S. and Sobolevskii, A.}, citeulike-article-id = {2299200}, citeulike-linkout-0 = {http://arxiv.org/abs/astro-ph/0301641}, citeulike-linkout-1 = {http://arxiv.org/pdf/astro-ph/0301641}, citeulike-linkout-2 = {http://dx.doi.org/10.1051/0004-6361:20030719}, citeulike-linkout-3 = {http://adsabs.harvard.edu/cgi-bin/nph-bib_query?bibcode=2003A&amp;A...406..393M}, day = {31}, doi = {10.1051/0004-6361:20030719}, eprint = {astro-ph/0301641}, keywords = {ansobolarxiv, cosmo, mak, optimization}, month = {Jan}, posted-at = {2008-01-28 18:50:18}, priority = {2}, title = {Reconstruction of the primordial Universe by a Monge-Ampere-Kantorovich optimisation scheme}, url = {http://dx.doi.org/10.1051/0004-6361:20030719}, year = {2003} }

TY - ELEC ID - citeulike:2299200 L3 - citeulike-article-id:2299200 N2 - A method for the reconstruction of the primordial density fluctuation field is presented. Various previous approaches to this problem rendered <i> non-unique</i> solutions. Here, it is demonstrated that the initial positions of dark matter fluid elements, under the hypothesis that their displacement is the gradient of a convex potential, can be reconstructed uniquely. In our approach, the cosmological reconstruction problem is reformulated as an assignment problem in optimisation theory. When tested against numerical simulations, our scheme yields excellent reconstruction on scales larger than a few megaparsecs. TI - Reconstruction of the primordial Universe by a Monge-Ampere-Kantorovich optimisation scheme KW - ansobolarxiv KW - cosmo KW - mak KW - optimization AU - Mohayaee, R AU - Frisch, U AU - Matarrese, S AU - Sobolevskii, A PY - 2003/Jan/31/ UR - http://dx.doi.org/10.1051/0004-6361:20030719 ER -