
{"id":37,"date":"2015-08-14T10:13:06","date_gmt":"2015-08-14T14:13:06","guid":{"rendered":"http:\/\/pages.charlotte.edu\/kevin-mcgoff\/?page_id=37"},"modified":"2025-03-04T14:45:13","modified_gmt":"2025-03-04T19:45:13","slug":"research","status":"publish","type":"page","link":"https:\/\/pages.charlotte.edu\/kevin-mcgoff\/research\/","title":{"rendered":"Research"},"content":{"rendered":"<p><strong>Publications<\/strong><\/p>\n<p>K.A. McGoff, <em>Orders of accumulation of entropy on manifolds<\/em>, J. Anal. Math., vol. 114 no. 1 (2011), pp. 157-206 [<a href=\"http:\/\/arxiv.org\/abs\/arXiv:0912.1783\">arXiv:0912.1783<\/a>].<\/p>\n<p>D. Burguet and K. McGoff, <em>Orders of accumulation of entropy<\/em>, Fund. Math., vol. 216 no. 1 (2012), pp. 1-53 [<a href=\"http:\/\/arxiv.org\/abs\/arXiv:0911.4083\">arXiv:0911.4083<\/a>].<\/p>\n<p>K. McGoff, <em>Random subshifts of finite type<\/em>, Ann. Prob., vol. 40 no. 2 (2012), pp. 648\u2013694 [<a href=\"http:\/\/arxiv.org\/abs\/arXiv:1006.1325\">arXiv:1006.1325<\/a>].<\/p>\n<p>K. McGoff, S. Mukherjee, A. Nobel, and N. Pillai, <em>Consistency of maximum likelihood estimation for some dynamical systems<\/em>, Ann. Statist., vol. 43 no. 1 (2015), pp. 1-29 [<a href=\"http:\/\/arxiv.org\/abs\/1306.5603\">arXiv:1306.5603<\/a>].<\/p>\n<p>M. Boyle, J. Buzzi, and K. McGoff, <em>Bowen&#8217;s entropy-conjugacy conjecture is true up to finite index<\/em>, Proc. Amer. Math. Soc., vol. 143 no. 7 (2015), pp. 2991-2997 [<a href=\"http:\/\/arxiv.org\/abs\/1310.2740\">arXiv:1310.2740<\/a>].<\/p>\n<p>M. Ryser, K. McGoff, D. Herzog, D. Sivakoff, and E. Myers, <em>Impact of coverage-dependent marginal costs on optimal HPV vaccination strategies<\/em>, Epidemics, vol. 11 (2015), pp. 32-47 [<a href=\"https:\/\/doi.org\/10.1016\/j.epidem.2015.01.003\">journal version<\/a>].<\/p>\n<p>K. McGoff, S. Mukherjee, and N. Pillai, <em>Statistical inference for dynamical systems: a review<\/em>, Statist. Surv., vol. 9 (2015), pp. 209-252 [<a href=\"http:\/\/arxiv.org\/abs\/arXiv:1204.6265\">arXiv:1204.6265<\/a>].<\/p>\n<p>K. Lan and K. McGoff, <em>Coalescence and meeting times on n-block Markov chains<\/em>, J. Theor. Probab., vol. 29 no. 2 (2016), pp. 527-549 [<a href=\"http:\/\/arxiv.org\/abs\/1410.0099\">arxiv:1410.0099<\/a>].<\/p>\n<p>K. McGoff and R. Pavlov, <em>Random Z^d-shifts of finite type<\/em>, J. Mod. Dyn., vol. 10 (2016), pp. 287-330 [<a href=\"http:\/\/arxiv.org\/abs\/1408.4086\">arXiv:1408.4086<\/a>].<\/p>\n<p>K.A. McGoff, X. Guo, A. Deckard, A.R. Leman, C.M. Kelliher, L.J. Francey, J.B. Hogenesch, S.B. Haase, and J.L. Harer, <em>The Local Edge Machine: Inference of dynamic models of gene regulation<\/em>, Genome Biology, vol. 17 no. 1 (2016) [<a href=\"https:\/\/doi.org\/10.1186\/s13059-016-1076-z\">journal version<\/a>].<\/p>\n<p>K. McGoff and R. Pavlov, <em>On intrinsic ergodicity of factors of Z^d subshifts<\/em>, Ergod. Theor. Dyn. Syst., vol. 27 no. 2 (2017), pp. 621-645 [<a href=\"http:\/\/arxiv.org\/abs\/1405.2095\">arXiv:1405.2095<\/a>].<\/p>\n<p>R. Brice\u00f1o, K. McGoff and R. Pavlov, <em>Factoring onto Z^d<span id=\"MathJax-Element-1-Frame\" class=\"MathJax\"><span id=\"MathJax-Span-1\" class=\"math\"><span id=\"MathJax-Span-2\" class=\"mrow\"><span id=\"MathJax-Span-3\" class=\"msubsup\"><span id=\"MathJax-Span-4\" class=\"texatom\"><span id=\"MathJax-Span-5\" class=\"mrow\"><span id=\"MathJax-Span-6\" class=\"mi\"><\/span><\/span><\/span><span id=\"MathJax-Span-7\" class=\"mn\"><\/span><\/span><\/span><\/span><\/span> subshifts with the finite extension property<\/em>, Proc. Amer. Math. Soc., vol. 146 no. 12 (2018), pp. 5129-5140 [<span class=\"list-identifier\"><a title=\"Abstract\" href=\"https:\/\/arxiv.org\/abs\/1611.03570\">arXiv:1611.03570<\/a>].<\/span><\/p>\n<p>K. McGoff and R. Pavlov, <em>Factor maps and embeddings for random Z^d shifts of finite type<\/em>, Israel J. Math., vol. 230 no. 1 (2019), pp. 239-273 [<a href=\"https:\/\/arxiv.org\/abs\/1705.00042\">arXiv:1705.00042<\/a>].<\/p>\n<p>K. McGoff, <em>Pressure and escape rates for random subshifts of finite type<\/em>, appears in Dynamical Systems and Random Processes, Contemporary Mathematics, vol. 736 (2019), pp. 97-124 [<a href=\"https:\/\/arxiv.org\/abs\/1809.05586\">arXiv:1809.05586<\/a>].<\/p>\n<p>K. McGoff and A. Nobel, <em>Empirical risk minimization and complexity of dynamical models<\/em>, Ann. Statist., vol. 48, no. 4 (2020), pp. 2031 &#8211; 2054 [<span class=\"list-identifier\"><a title=\"Abstract\" href=\"https:\/\/arxiv.org\/abs\/1611.06173\">arXiv:1611.06173<\/a><\/span>].<\/p>\n<p>J. Kelly and K. McGoff, <em>Entropy conjugacy for Markov multi-maps of the interval<\/em>, Discrete Contin. Dyn. Syst., vol. 41, no. 5 (2021), pp. 2071-2094 [<a href=\"https:\/\/arxiv.org\/abs\/1910.00568\">arXiv:1910.00568<\/a>].<\/p>\n<p>K. McGoff and A. Nobel, <em>Empirical risk minimization for dynamical systems and stationary processes<\/em>, Information and Inference, vol. 10, no. 3, September 2021, pages 1073\u20131104 [<a href=\"http:\/\/arxiv.org\/abs\/1601.05033\">arXiv:1601:05033<\/a>].<\/p>\n<p>K. McGoff and R. Pavlov, <em>Ubiquity of entropies of intermediate factors<\/em>, Journal of the London Mathematical Society, vol. 104, no. 2, September 2021, pages 865-885 [<a href=\"https:\/\/arxiv.org\/abs\/2005.05198\">arXiv:2005.05198<\/a>].<\/p>\n<p>J. Raymond, R. Bland, and K. McGoff, <em>Shotgun identification on groups<\/em>, Involve: A Journal of Mathematics, vol. 14, no. 4 (2021), pages 631-682 [<a href=\"https:\/\/arxiv.org\/abs\/2009.02255\">arXiv:2009.02255<\/a>].<\/p>\n<p>F.C. Motta, K.A. McGoff, A. Deckard, C.R. Wolfe, M.A. Moody, K. Cavanaugh, T.N. Denny, J. Harer, and S.B. Haase, <em>Assessment of Simulated Surveillance Testing and Quarantine in a SARS-CoV-2 Vaccinated Population of Students on a University Campus<\/em>, JAMA Health Forum, vol. 2, no. 10 (2021) [medRxiv: <a href=\"https:\/\/doi.org\/10.1101\/2021.06.15.21258928\">https:\/\/doi.org\/10.1101\/2021.06.15.21258928<\/a>].<\/p>\n<p>K. McGoff, S. Mukherjee, and A.B. Nobel, <em>Gibbs posterior convergence and the thermodynamic formalism<\/em>, Annals of Applied Probability, vol. 32, no. 1, pp. 461 &#8211; 496 (2022) [<a href=\"https:\/\/arxiv.org\/abs\/1901.08641\">arXiv:1901.08641<\/a>].<\/p>\n<p>K. O&#8217;Connor, K. McGoff, and A.B. Nobel, <em>Optimal transport for stationary Markov chains via policy iteration<\/em>, Journal of Machine Learning Research, vol. 23, no. 45, pp. 1\u221252 (2022). [<a href=\"https:\/\/arxiv.org\/abs\/2006.07998\">arXiv:2006.07998<\/a>].<\/p>\n<p>R. Bland, K. McGoff, and R. Pavlov, <em>Subsystem entropies of shifts of finite type and sofic shifts on countable amenable groups<\/em>, Ergodic Theory and Dynamical Systems, pp. 1-34 (2022) [<a href=\"https:\/\/arxiv.org\/abs\/2201.01991\">arxiv:2201.01991<\/a>].<\/p>\n<p>J.P. Kelly and K. McGoff, <em>Topological dynamics of Markov multi-maps of the interval<\/em>, Topology and its applications, vol. 327, 108444 (2023) [<a href=\"https:\/\/arxiv.org\/abs\/2109.07585\">arxiv:2109.07585<\/a>].<\/p>\n<p>F. C. Motta,<span class=\"highwire-citation-authors\"> <span class=\"highwire-citation-author\" data-delta=\"1\"><span class=\"nlm-given-names\">K.<\/span> <span class=\"nlm-surname\">McGoff<\/span><\/span>, <span class=\"highwire-citation-author\" data-delta=\"2\"><span class=\"nlm-given-names\">R. C.<\/span> <span class=\"nlm-surname\">Moseley<\/span><\/span>, <span class=\"highwire-citation-author\" data-delta=\"3\"><span class=\"nlm-given-names\">C.<\/span> <span class=\"nlm-surname\">Cho<\/span><\/span>, <span class=\"highwire-citation-author\" data-delta=\"4\"><span class=\"nlm-given-names\">C. M.<\/span> <span class=\"nlm-surname\">Kelliher<\/span><\/span>, <span class=\"highwire-citation-author\" data-delta=\"5\"><span class=\"nlm-given-names\">L. M.<\/span> <span class=\"nlm-surname\">Smith<\/span><\/span>, <span class=\"highwire-citation-author\" data-delta=\"6\"><span class=\"nlm-given-names\">M. S.<\/span> <span class=\"nlm-surname\">Ortiz<\/span><\/span>, <span class=\"highwire-citation-author\" data-delta=\"7\"><span class=\"nlm-given-names\">A. R.<\/span> <span class=\"nlm-surname\">Leman<\/span><\/span>, <span class=\"highwire-citation-author\" data-delta=\"8\"><span class=\"nlm-given-names\">S. A.<\/span> <span class=\"nlm-surname\">Campione<\/span><\/span>, <span class=\"highwire-citation-author\" data-delta=\"9\"><span class=\"nlm-given-names\">N.<\/span> <span class=\"nlm-surname\">Devos<\/span><\/span>, <span class=\"highwire-citation-author\" data-delta=\"10\"><span class=\"nlm-given-names\">S.<\/span> <span class=\"nlm-surname\">Chaorattanakawee<\/span><\/span>, <span class=\"highwire-citation-author\" data-delta=\"11\"><span class=\"nlm-given-names\">N. <\/span><span class=\"nlm-surname\">Uthaimongkol<\/span><\/span>, <span class=\"highwire-citation-author\" data-delta=\"12\"><span class=\"nlm-given-names\">W.<\/span> <span class=\"nlm-surname\">Kuntawunginn<\/span><\/span>, <span class=\"highwire-citation-author\" data-delta=\"13\"><span class=\"nlm-given-names\">C.<\/span> <span class=\"nlm-surname\">Thongpiam<\/span><\/span>, <span class=\"highwire-citation-author\" data-delta=\"14\"><span class=\"nlm-given-names\">C.<\/span> <span class=\"nlm-surname\">Thamnurak<\/span><\/span>, <span class=\"highwire-citation-author\" data-delta=\"15\"><span class=\"nlm-given-names\">M.<\/span> <span class=\"nlm-surname\">Arsanok<\/span><\/span>, <span class=\"highwire-citation-author\" data-delta=\"16\"><span class=\"nlm-given-names\">M.<\/span> <span class=\"nlm-surname\">Wojnarski<\/span><\/span>, <span class=\"highwire-citation-author\" data-delta=\"17\"><span class=\"nlm-given-names\">P.<\/span> <span class=\"nlm-surname\">Vanchayangkul<\/span><\/span>, <span class=\"highwire-citation-author\" data-delta=\"18\"><span class=\"nlm-given-names\">N.<\/span> <span class=\"nlm-surname\">Boonyalai<\/span><\/span>, <span class=\"highwire-citation-author\" data-delta=\"19\"><span class=\"nlm-given-names\">P. L.<\/span> <span class=\"nlm-surname\">Smith<\/span><\/span>, <span class=\"highwire-citation-author\" data-delta=\"20\"><span class=\"nlm-given-names\">M.<\/span> <span class=\"nlm-surname\">Spring<\/span><\/span>, <span class=\"highwire-citation-author\" data-delta=\"21\"><span class=\"nlm-given-names\">K.<\/span> <span class=\"nlm-surname\">Jongsakul<\/span><\/span>, <span class=\"highwire-citation-author\" data-delta=\"22\"><span class=\"nlm-given-names\">I.<\/span> <span class=\"nlm-surname\">Chuang<\/span><\/span>, <span class=\"highwire-citation-author\" data-delta=\"23\"><span class=\"nlm-given-names\">J.<\/span> <span class=\"nlm-surname\">Harer<\/span><\/span>, <span class=\"highwire-citation-author\" data-delta=\"24\"><span class=\"nlm-given-names\">S. B.<\/span> <span class=\"nlm-surname\">Haase, <em>The Parasite Intraerythrocytic Cycle and Human Circadian Cycle are Coupled During Malaria Infection<\/em>, PNAS, vol. 120, no. 24 (2023) [bioRxiv].<br \/>\n<\/span><\/span><\/span><\/p>\n<p>K. O&#8217;Connor, K. McGoff, and A.B. Nobel, <em>Estimation of stationary optimal transport plans<\/em>, Information and Inference, vol. 13, no. 2 (2024) [<a href=\"https:\/\/arxiv.org\/abs\/2107.11858\">arxiv:2107.11858<\/a>].<\/p>\n<p>K. O&#8217;Connor*, B. Yi*, K. McGoff, and A.B. Nobel, <em>Alignment and comparison of directed networks via transition couplings of random walks<\/em>, Journal of the Royal Statistical Society: Series B, Volume 87, Issue 1, February 2025, Pages 186\u2013210 [<a href=\"https:\/\/arxiv.org\/abs\/2106.07106\">arxiv:2106.07106<\/a>].<\/p>\n<p>F. C. Motta, K. McGoff, B. Cummins, S. B. Haase, <em>Generalized measures of population synchrony<\/em>, Mathematical Biosciences, vol. 380, February 2025, 109344 [<a href=\"https:\/\/arxiv.org\/abs\/2406.15987\">arxiv:2406.15987<\/a>].<\/p>\n<p>R. Bland and K. McGoff, Homomorphisms from aperiodic subshifts to subshifts with the finite extension property, submitted <span class=\"arxivid\">[<a href=\"https:\/\/arxiv.org\/abs\/2410.18795\">arXiv:2410.18795<\/a>].<\/span><\/p>\n<p>*Shared credit as first author<\/p>\n<p><strong>Undergraduate research publications directed<br \/>\n<\/strong><\/p>\n<p>B. Stich,\u00a0<em>Strong Recovery In Group Synchronization<\/em>, Rose-Hulman Undergraduate Mathematics Journal, vol. 24, issue 1 (2023) [<a href=\"https:\/\/arxiv.org\/abs\/2111.03705\">arxiv:2111.03705<\/a>].<\/p>\n<p>M. Herring, <em>A probabilistic analysis of shotgun sequencing for<\/em> metagenomics, SIAM Undergraduate Research Online, vol. 15 (2022) [<a href=\"https:\/\/arxiv.org\/abs\/2201.05029\">arxiv:2201.05029<\/a>].<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Publications K.A. McGoff, Orders of accumulation of entropy on manifolds, J. Anal. Math., vol. 114 no. 1 (2011), pp. 157-206 [arXiv:0912.1783]. D. Burguet and K. McGoff, Orders of accumulation of entropy, Fund. Math., vol. 216 no. 1 (2012), pp. 1-53 [arXiv:0911.4083]. K. McGoff, Random subshifts of finite type, Ann. Prob., vol. 40 no. 2 (2012), [&hellip;]<\/p>\n","protected":false},"author":1146,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"jetpack_post_was_ever_published":false,"footnotes":""},"class_list":["post-37","page","type-page","status-publish","hentry"],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/P6vbcX-B","_links":{"self":[{"href":"https:\/\/pages.charlotte.edu\/kevin-mcgoff\/wp-json\/wp\/v2\/pages\/37","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pages.charlotte.edu\/kevin-mcgoff\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/pages.charlotte.edu\/kevin-mcgoff\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/pages.charlotte.edu\/kevin-mcgoff\/wp-json\/wp\/v2\/users\/1146"}],"replies":[{"embeddable":true,"href":"https:\/\/pages.charlotte.edu\/kevin-mcgoff\/wp-json\/wp\/v2\/comments?post=37"}],"version-history":[{"count":58,"href":"https:\/\/pages.charlotte.edu\/kevin-mcgoff\/wp-json\/wp\/v2\/pages\/37\/revisions"}],"predecessor-version":[{"id":222,"href":"https:\/\/pages.charlotte.edu\/kevin-mcgoff\/wp-json\/wp\/v2\/pages\/37\/revisions\/222"}],"wp:attachment":[{"href":"https:\/\/pages.charlotte.edu\/kevin-mcgoff\/wp-json\/wp\/v2\/media?parent=37"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}