{"intvolume":"         6","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","issue":"3","language":[{"iso":"eng"}],"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"}],"publist_id":"6112","publisher":"European Mathematical Society","citation":{"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>","short":"R. Froese, D. Lee, C. Sadel, W. Spitzer, G. Stolz, Journal of Spectral Theory 6 (2016) 557–600.","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.","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>.","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>.","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>","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."},"publication_status":"published","oa_version":"Preprint","oa":1,"doi":"10.4171/JST/132","scopus_import":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1408.3961"}],"author":[{"last_name":"Froese","full_name":"Froese, Richard","first_name":"Richard"},{"last_name":"Lee","full_name":"Lee, Darrick","first_name":"Darrick"},{"last_name":"Sadel","full_name":"Sadel, Christian","id":"4760E9F8-F248-11E8-B48F-1D18A9856A87","first_name":"Christian","orcid":"0000-0001-8255-3968"},{"first_name":"Wolfgang","last_name":"Spitzer","full_name":"Spitzer, Wolfgang"},{"first_name":"Günter","last_name":"Stolz","full_name":"Stolz, Günter"}],"date_published":"2016-01-01T00:00:00Z","day":"01","type":"journal_article","year":"2016","status":"public","page":"557 - 600","month":"01","date_updated":"2021-01-12T06:49:12Z","volume":6,"publication":"Journal of Spectral Theory","date_created":"2018-12-11T11:50:48Z","department":[{"_id":"LaEr"}],"_id":"1223","title":"Localization for transversally periodic random potentials on binary trees","quality_controlled":"1"}