{"id":251,"date":"2023-06-14T11:07:51","date_gmt":"2023-06-14T18:07:51","guid":{"rendered":"https:\/\/live-usc-dornsife.pantheonsite.io\/kenneth-alexander\/?page_id=251"},"modified":"2023-06-14T11:07:51","modified_gmt":"2023-06-14T18:07:51","slug":"publications","status":"publish","type":"page","link":"https:\/\/dornsife.usc.edu\/kenneth-alexander\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"\n\n  \n    \n\n\n\n\n\n\n<div\n  class=\"cc--component-container cc--rich-text \"\n\n  \n  \n  \n  \n  \n  \n  >\n  <div class=\"c--component c--rich-text\"\n    \n      >\n\n    \n      \n<div class=\"f--field f--wysiwyg\">\n\n    \n  <div class=\"html-content\">\n<p>Selected publications:<\/p>\n<ul>\n<li>Geodesics, bigeodesics, and coalescence in first passage percolation in general dimension. \u00a0Available at\u00a0<a href=\"https:\/\/arxiv.org\/abs\/2001.08736\" target=\"_blank\" rel=\"noopener\">https:\/\/arxiv.org\/abs\/2001.08736<\/a>\u00a0. 76 pp. (2020)<\/li>\n<li>Geodesics toward corners in first passage percolation.\u00a0 With Q. Berger.\u00a0 Journal of Statistcal Physics 172, 1029-1056. Available at\u00a0<a href=\"https:\/\/arxiv.org\/abs\/1709.09072\">https:\/\/arxiv.org\/abs\/1709.09072<\/a>\u00a0.\u00a0 22 pp. (2018)<\/li>\n<li>Pinning of a renewal on a quenched renewal.\u00a0 With Q. Berger.\u00a0 Electronic Journal of Probability 23, Paper No. 6, 48 pp. Available at\u00a0<a href=\"https:\/\/projecteuclid.org\/euclid.ejp\/1518426053\" target=\"_blank\" rel=\"noopener\">https:\/\/projecteuclid.org\/euclid.ejp\/1518426053<\/a> .\u00a0 (2018)<\/li>\n<li>Local asymptotics for the first intersection of two independent renewals.\u00a0 With Q. Berger.\u00a0\u00a0Electronic Journal of Probability 21, Paper 68, 20 pp.\u00a0 Available at\u00a0<a href=\"https:\/\/projecteuclid.org\/euclid.ejp\/1480561217\" target=\"_blank\" rel=\"noopener\">https:\/\/projecteuclid.org\/euclid.ejp\/1480561217<\/a> .\u00a0 (2016)<\/li>\n<li>Local limit theorems and renewal theory with no moments.\u00a0 With Q. Berger.\u00a0\u00a0Electronic Journal of Probability\u00a021, Paper 66, 18 pp.\u00a0 Available at\u00a0<a href=\"https:\/\/projecteuclid.org\/euclid.ejp\/1480129233\" target=\"_blank\" rel=\"noopener\">https:\/\/projecteuclid.org\/euclid.ejp\/1480129233<\/a> . (2016)<\/li>\n<li>Directed polymers in a random environment with a defect line.\u00a0 With G. Yildirim.\u00a0\u00a0Electronic Journal of Probability\u00a020, Paper 6, 20 pp.\u00a0 Available at <a href=\"https:\/\/projecteuclid.org\/euclid.ejp\/1465067112\" target=\"_blank\" rel=\"noopener\">https:\/\/projecteuclid.org\/euclid.ejp\/1465067112<\/a>\u00a0. (2015)<\/li>\n<li>Path properties of the random pinning polymer in the delocalized regime.\u00a0 With N. Zygouras.\u00a0\u00a0Annals of Applied Probability\u00a024, 599-615.\u00a0 Available at\u00a0<a href=\"http:\/\/arxiv.org\/abs\/1210.1862\">http:\/\/arxiv.org\/abs\/1210.1862<\/a>\u00a0.\u00a0 (2014)<\/li>\n<li>Controlled random walk with a target site.\u00a0\u00a0Electronic Communications in Probability\u00a018, Paper 43, 1-6.\u00a0 Available at\u00a0<a href=\"https:\/\/projecteuclid.org\/euclid.ecp\/1465315582\" target=\"_blank\" rel=\"noopener\">https:\/\/projecteuclid.org\/euclid.ecp\/1465315582<\/a> .\u00a0 (2013)<\/li>\n<li>Subgaussian concentration and rates of convergence in directed polymers.\u00a0 With N. Zygouras.\u00a0\u00a0Electronic Journal of Probability\u00a018, Paper 5, 1-28.\u00a0 Available at\u00a0<a href=\"https:\/\/projecteuclid.org\/euclid.ejp\/1465064230\" target=\"_blank\" rel=\"noopener\">https:\/\/projecteuclid.org\/euclid.ejp\/1465064230<\/a>.\u00a0 (2013)<\/li>\n<li>Subgaussian rates of convergence of means in directed first passage percolation.\u00a0 Available at\u00a0<a href=\"http:\/\/arxiv.org\/abs\/1101.1549v1\">http:\/\/arxiv.org\/abs\/1101.1549v1<\/a>\u00a0 .\u00a0 15 pages (2011)<\/li>\n<li>Layering and wetting transitions for an SOS interface.\u00a0 With F. Dunlop and S. Miracle-Sole.\u00a0\u00a0Journal of Statistical Physics\u00a0142, 524 &#8211; 576.\u00a0 Available at\u00a0<a href=\"http:\/\/arxiv.org\/abs\/0908.0321\">http:\/\/arxiv.org\/abs\/0908.0321<\/a>\u00a0.\u00a0 (2011)<\/li>\n<li>Excursions and local limit theorems for Bessel-like random walks.\u00a0\u00a0Electronic Journal of Probability\u00a016, 1 &#8211; 44.\u00a0 Available at\u00a0<a href=\"https:\/\/projecteuclid.org\/euclid.ejp\/1464820170\" target=\"_blank\" rel=\"noopener\">https:\/\/projecteuclid.org\/euclid.ejp\/1464820170<\/a> .\u00a0 (2011)<\/li>\n<li>Layering in the Ising model.\u00a0 With F. Dunlop and S. Miracle-Sole.\u00a0\u00a0Journal of Statistical Physics\u00a0141, 217 &#8211; 241.\u00a0 Available at\u00a0<a href=\"http:\/\/arxiv.org\/abs\/0911.2105\">http:\/\/arxiv.org\/abs\/0911.2105<\/a>\u00a0.\u00a0 (2010)<\/li>\n<li>Equality of critical points for polymer depinning transitions with loop exponent one.\u00a0 With N. Zygouras.\u00a0\u00a0Annals of Applied Probability\u00a020, 356 &#8211; 366.\u00a0 Available at\u00a0<a href=\"http:\/\/arxiv.org\/abs\/0811.1902\">http:\/\/arxiv.org\/abs\/0811.1902<\/a>\u00a0. (2010)<\/li>\n<li>Quenched and annealed critical points in polymer pinning models.\u00a0 With N. Zygouras.\u00a0\u00a0Communications in Mathematics Physics\u00a0291, 659 &#8211; 689.\u00a0 Available at\u00a0<a href=\"http:\/\/arxiv.org\/abs\/0805.1708\">http:\/\/arxiv.org\/abs\/0805.1708<\/a>\u00a0.\u00a0 (2008)<\/li>\n<li>Ivy on the ceiling:\u00a0 first-order polymer depinning transitions with quenched disorder.\u00a0\u00a0Markov Processes and Related Fields\u00a013, 663 &#8211; 680.\u00a0 Available at\u00a0<a href=\"http:\/\/arxiv.org\/abs\/math.PR\/0612625\">http:\/\/arxiv.org\/abs\/math.PR\/0612625<\/a>.\u00a0 (2007)<\/li>\n<li>The effect of disorder on polymer depinning transitions.\u00a0\u00a0Communications in Mathematical Physics\u00a0279, 117 &#8211; 146.\u00a0 Available at\u00a0<a href=\"http:\/\/arxiv.org\/abs\/math.PR\/0610008\">http:\/\/arxiv.org\/abs\/math.PR\/0610008<\/a>.\u00a0 (2008)<\/li>\n<li>Pinning of polymers and interfaces by random potentials. \u00a0With V. Sidoravicius.\u00a0\u00a0Annals of Applied Probability\u00a016, 636 &#8211; 669.\u00a0\u00a0Available at\u00a0<a href=\"http:\/\/arxiv.org\/abs\/math.PR\/0501028\">http:\/\/arxiv.org\/abs\/math.PR\/0501028<\/a>\u00a0. (2006)<\/li>\n<li>Colligative properties of solutions: I. Fixed concentrations. With M. Biskup and L. Chayes.\u00a0\u00a0Journal of Statistical Physics\u00a0119, 479 &#8211; 507.\u00a0 Available at\u00a0<a href=\"http:\/\/arxiv.org\/abs\/math-ph\/0407034\">http:\/\/arxiv.org\/abs\/math-ph\/0407034<\/a>.\u00a0 (2005)<\/li>\n<li>Colligative properties of solutions: \u00a0II. Vanishing concentrations. \u00a0With M. Biskup and L. Chayes.\u00a0\u00a0Journal of Statistical Physics\u00a0119, 509 &#8211; 537.\u00a0 Available at\u00a0<a href=\"http:\/\/arxiv.org\/abs\/math-ph\/0407035\">http:\/\/arxiv.org\/abs\/math-ph\/0407035<\/a>.\u00a0 (2005)<\/li>\n<li>Separated-occurrence inequalities for dependent percolation and Ising models.\u00a0 Available at\u00a0\u00a0<a href=\"http:\/\/arxiv.org\/abs\/math.PR\/0210015\">http:\/\/arxiv.org\/abs\/math.PR\/0210015<\/a>\u00a0 .\u00a0 38 pages. (2002)<\/li>\n<li>Mixing properties and exponential decay for lattice systems in finite volumes.\u00a0\u00a0<i>Annals of Probability\u00a0<\/i><strong>32<\/strong>, 441 &#8211; 487. \u00a0Available at\u00a0\u00a0<a href=\"http:\/\/www.ma.utexas.edu\/mp_arc-bin\/mpa?yn=01-309\">http:\/\/www.ma.utexas.edu\/mp_arc-bin\/mpa?yn=01-309<\/a>\u00a0 .\u00a0 (2004)<\/li>\n<li>Lower bounds for boundary roughness for droplets in Bernoulli percolation.\u00a0 With H. Uzun.\u00a0<i>\u00a0Probability Theory and Related Fields<\/i>\u00a0<strong>127<\/strong>, 62 &#8211; 88. \u00a0Available at\u00a0\u00a0<a href=\"http:\/\/arxiv.org\/abs\/math.PR\/0210016\">http:\/\/arxiv.org\/abs\/math.PR\/0210016<\/a>\u00a0 .\u00a0 (2003)<\/li>\n<li>The spectral gap of the 2-D stochastic Ising model with mixed boundary conditions.\u00a0 With N. Yoshida.\u00a0\u00a0<i>Journal of Statistical Physics<\/i><strong>\u00a0104<\/strong>, 89 &#8211; 109.\u00a0 Available at\u00a0\u00a0<a href=\"http:\/\/front.math.ucdavis.edu\/math.PR\/0008201\">http:\/\/front.math.ucdavis.edu\/math.PR\/0008201<\/a>\u00a0.\u00a0 (2001)<\/li>\n<li>The spectral gap of the 2-D stochastic Ising model with nearly single-spin boundary conditions.\u00a0\u00a0\u00a0<i>Journal of Statistical Physics<\/i><strong>\u00a0104<\/strong>, 59 &#8211; 87.\u00a0 Available from\u00a0\u00a0<a href=\"http:\/\/www.ma.utexas.edu\/mp_arc\/\">http:\/\/www.ma.utexas.edu\/mp_arc\/<\/a>\u00a0 as preprint #00-230.\u00a0 (2001)<\/li>\n<li>Cube-root boundary fluctuations for droplets in random cluster models.\u00a0<i>Communications in Mathematical Physics\u00a0<\/i><strong>224<\/strong>, 733 &#8211; 781<i>.<\/i>\u00a0 Available from\u00a0\u00a0<a href=\"http:\/\/www.ma.utexas.edu\/mp_arc\/\">http:\/\/www.ma.utexas.edu\/mp_arc\/<\/a>\u00a0 as preprint #00-19.\u00a0 72 pages.\u00a0 (2001)<\/li>\n<li>Power-law corrections to exponential decay of connectivities and correlations in lattice models.\u00a0<i>Annals of Probability<\/i><strong>\u00a029<\/strong>, 92 &#8211; 122.\u00a0 Available from\u00a0\u00a0<a href=\"http:\/\/www.ma.utexas.edu\/mp_arc\/\">http:\/\/www.ma.utexas.edu\/mp_arc\/<\/a>\u00a0 as preprint #00-245.\u00a0 (2001)<\/li>\n<li>The asymmetric random cluster model and comparison of Ising and Potts models.\u00a0<i>Probability Theory and Related Fields\u00a0\u00a0<\/i><strong>120<\/strong>, 395-444.\u00a0 Available from\u00a0\u00a0<a href=\"http:\/\/www.ma.utexas.edu\/mp_arc\/\">http:\/\/www.ma.utexas.edu\/mp_arc\/<\/a>\u00a0 as preprint #00-81.\u00a0 (2001).<\/li>\n<li>On weak mixing in lattice models.\u00a0<i>Probability Theory and Related Fields\u00a0<\/i><strong>110<\/strong>, 441-471 (1998).<\/li>\n<li>Non-perturbative criteria for Gibbsian uniqueness. With L. Chayes.\u00a0<i>Communications in Mathematical Physics\u00a0<\/i><strong>198<\/strong>, 447-464 (1997).<\/li>\n<li>Approximation of subadditive functions and convergence rates in limiting-shape results. Special Invited Paper.\u00a0<i>Annals of Probability\u00a0<\/i><strong>25<\/strong>, 30-55 (1997).<\/li>\n<li>Boundedness of level lines for two-dimensional random fields.\u00a0<i>Annals of Probability\u00a0<\/i>\u00a0<strong>24<\/strong>, 1653-1674 (1996).<\/li>\n<li>Percolation and minimal spanning forests in infinite graphs.\u00a0<i>Annals of Probability\u00a0<\/i><strong>23<\/strong>, 87-104 (1995).<\/li>\n<li>Rates of convergence of means for distance-minimizing subadditive Euclidean functionals.\u00a0<i>Annals of Applied Probability\u00a0<\/i><strong>4<\/strong>, 902-922 (1994).<\/li>\n<li>The rate of convergence of the mean length of the longest common subsequence,\u00a0<i>Annals of Applied Probability\u00a0<\/i><strong>4<\/strong>, 1074-1082 (1994).<\/li>\n<li>Percolation of level sets for two-dimentional random fields with lattice symmetry. With S.A. Molchanov.\u00a0<i>Journal of Statistical Physics\u00a0<\/i><strong>77<\/strong>, 627-634 (1994).<\/li>\n<\/ul>\n<\/div>\n\n\n\n<\/div>\n\n\n  <\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":279,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-251","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Publications - Kenneth Alexander<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/dornsife.usc.edu\/kenneth-alexander\/publications\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Publications - 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