{"intvolume":"         6","language":[{"iso":"eng"}],"date_updated":"2021-01-12T06:49:12Z","publist_id":"6112","volume":6,"type":"journal_article","issue":"3","publication":"Journal of Spectral Theory","publication_status":"published","abstract":[{"text":"We consider a random Schrödinger operator on the binary tree with a random potential which is the sum of a random radially symmetric potential, Qr, and a random transversally periodic potential, κQt, with coupling constant κ. Using a new one-dimensional dynamical systems approach combined with Jensen's inequality in hyperbolic space (our key estimate) we obtain a fractional moment estimate proving localization for small and large κ. Together with a previous result we therefore obtain a model with two Anderson transitions, from localization to delocalization and back to localization, when increasing κ. As a by-product we also have a partially new proof of one-dimensional Anderson localization at any disorder.","lang":"eng"}],"oa_version":"Preprint","main_file_link":[{"url":"https://arxiv.org/abs/1408.3961","open_access":"1"}],"_id":"1223","doi":"10.4171/JST/132","author":[{"last_name":"Froese","first_name":"Richard","full_name":"Froese, Richard"},{"first_name":"Darrick","full_name":"Lee, Darrick","last_name":"Lee"},{"first_name":"Christian","full_name":"Sadel, Christian","orcid":"0000-0001-8255-3968","last_name":"Sadel","id":"4760E9F8-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Spitzer, Wolfgang","first_name":"Wolfgang","last_name":"Spitzer"},{"full_name":"Stolz, Günter","first_name":"Günter","last_name":"Stolz"}],"quality_controlled":"1","scopus_import":1,"title":"Localization for transversally periodic random potentials on binary trees","citation":{"mla":"Froese, Richard, et al. “Localization for Transversally Periodic Random Potentials on Binary Trees.” <i>Journal of Spectral Theory</i>, vol. 6, no. 3, European Mathematical Society, 2016, pp. 557–600, doi:<a href=\"https://doi.org/10.4171/JST/132\">10.4171/JST/132</a>.","ama":"Froese R, Lee D, Sadel C, Spitzer W, Stolz G. Localization for transversally periodic random potentials on binary trees. <i>Journal of Spectral Theory</i>. 2016;6(3):557-600. doi:<a href=\"https://doi.org/10.4171/JST/132\">10.4171/JST/132</a>","short":"R. Froese, D. Lee, C. Sadel, W. Spitzer, G. Stolz, Journal of Spectral Theory 6 (2016) 557–600.","ieee":"R. Froese, D. Lee, C. Sadel, W. Spitzer, and G. Stolz, “Localization for transversally periodic random potentials on binary trees,” <i>Journal of Spectral Theory</i>, vol. 6, no. 3. European Mathematical Society, pp. 557–600, 2016.","chicago":"Froese, Richard, Darrick Lee, Christian Sadel, Wolfgang Spitzer, and Günter Stolz. “Localization for Transversally Periodic Random Potentials on Binary Trees.” <i>Journal of Spectral Theory</i>. European Mathematical Society, 2016. <a href=\"https://doi.org/10.4171/JST/132\">https://doi.org/10.4171/JST/132</a>.","ista":"Froese R, Lee D, Sadel C, Spitzer W, Stolz G. 2016. Localization for transversally periodic random potentials on binary trees. Journal of Spectral Theory. 6(3), 557–600.","apa":"Froese, R., Lee, D., Sadel, C., Spitzer, W., &#38; Stolz, G. (2016). Localization for transversally periodic random potentials on binary trees. <i>Journal of Spectral Theory</i>. European Mathematical Society. <a href=\"https://doi.org/10.4171/JST/132\">https://doi.org/10.4171/JST/132</a>"},"month":"01","date_created":"2018-12-11T11:50:48Z","department":[{"_id":"LaEr"}],"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","date_published":"2016-01-01T00:00:00Z","oa":1,"year":"2016","status":"public","publisher":"European Mathematical Society","page":"557 - 600","day":"01"}