Kevin McGoff
Kevin McGoff
Associate Professor of Mathematics
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Office: Fretwell 390F
Phone: 704-687-1409
Email: kmcgoff1 "at" charlotte "dot" edu

Research

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), pp. 648–694 [arXiv:1006.1325].

K. McGoff, S. Mukherjee, A. Nobel, and N. Pillai, Consistency of maximum likelihood estimation for some dynamical systems, Ann. Statist., vol. 43 no. 1 (2015), pp. 1-29 [arXiv:1306.5603].

M. Boyle, J. Buzzi, and K. McGoff, Bowen’s entropy-conjugacy conjecture is true up to finite index, Proc. Amer. Math. Soc., vol. 143 no. 7 (2015), pp. 2991-2997 [arXiv:1310.2740].

M. Ryser, K. McGoff, D. Herzog, D. Sivakoff, and E. Myers, Impact of coverage-dependent marginal costs on optimal HPV vaccination strategies, Epidemics, vol. 11 (2015), pp. 32-47 [journal version].

K. McGoff, S. Mukherjee, and N. Pillai, Statistical inference for dynamical systems: a review, Statist. Surv., vol. 9 (2015), pp. 209-252 [arXiv:1204.6265].

K. Lan and K. McGoff, Coalescence and meeting times on n-block Markov chains, J. Theor. Probab., vol. 29 no. 2 (2016), pp. 527-549 [arxiv:1410.0099].

K. McGoff and R. Pavlov, Random Z^d-shifts of finite type, J. Mod. Dyn., vol. 10 (2016), pp. 287-330 [arXiv:1408.4086].

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, The Local Edge Machine: Inference of dynamic models of gene regulation, Genome Biology, vol. 17 no. 1 (2016) [journal version].

K. McGoff and R. Pavlov, On intrinsic ergodicity of factors of Z^d subshifts, Ergod. Theor. Dyn. Syst., vol. 27 no. 2 (2017), pp. 621-645 [arXiv:1405.2095].

R. Briceño, K. McGoff and R. Pavlov, Factoring onto Z^d subshifts with the finite extension property, Proc. Amer. Math. Soc., vol. 146 no. 12 (2018), pp. 5129-5140 [arXiv:1611.03570].

K. McGoff and R. Pavlov, Factor maps and embeddings for random Z^d shifts of finite type, Israel J. Math., vol. 230 no. 1 (2019), pp. 239-273 [arXiv:1705.00042].

K. McGoff, Pressure and escape rates for random subshifts of finite type, appears in Dynamical Systems and Random Processes, Contemporary Mathematics, vol. 736 (2019), pp. 97-124 [arXiv:1809.05586].

K. McGoff and A. Nobel, Empirical risk minimization and complexity of dynamical models, Ann. Statist., vol. 48, no. 4 (2020), pp. 2031 – 2054 [arXiv:1611.06173].

J. Kelly and K. McGoff, Entropy conjugacy for Markov multi-maps of the interval, Discrete Contin. Dyn. Syst., vol. 41, no. 5 (2021), pp. 2071-2094 [arXiv:1910.00568].

K. McGoff and A. Nobel, Empirical risk minimization for dynamical systems and stationary processes, Information and Inference, vol. 10, no. 3, September 2021, pages 1073–1104 [arXiv:1601:05033].

K. McGoff and R. Pavlov, Ubiquity of entropies of intermediate factors, Journal of the London Mathematical Society, vol. 104, no. 2, September 2021, pages 865-885 [arXiv:2005.05198].

J. Raymond, R. Bland, and K. McGoff, Shotgun identification on groups, Involve: A Journal of Mathematics, vol. 14, no. 4 (2021), pages 631-682 [arXiv:2009.02255].

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, Assessment of Simulated Surveillance Testing and Quarantine in a SARS-CoV-2 Vaccinated Population of Students on a University Campus, JAMA Health Forum, vol. 2, no. 10 (2021) [medRxiv: https://doi.org/10.1101/2021.06.15.21258928].

K. McGoff, S. Mukherjee, and A.B. Nobel, Gibbs posterior convergence and the thermodynamic formalism, Annals of Applied Probability, vol. 32, no. 1, pp. 461 – 496 (2022) [arXiv:1901.08641].

K. O’Connor, K. McGoff, and A.B. Nobel, Optimal transport for stationary Markov chains via policy iteration, Journal of Machine Learning Research, vol. 23, no. 45, pp. 1−52 (2022). [arXiv:2006.07998].

R. Bland, K. McGoff, and R. Pavlov, Subsystem entropies of shifts of finite type and sofic shifts on countable amenable groups, Ergodic Theory and Dynamical Systems, pp. 1-34 (2022) [arxiv:2201.01991].

J.P. Kelly and K. McGoff, Topological dynamics of Markov multi-maps of the interval, Topology and its applications, vol. 327, 108444 (2023) [arxiv:2109.07585].

F. C. Motta, K. McGoff, R. C. Moseley, C. Cho, C. M. Kelliher, L. M. Smith, M. S. Ortiz, A. R. Leman, S. A. Campione, N. Devos, S. Chaorattanakawee, N. Uthaimongkol, W. Kuntawunginn, C. Thongpiam, C. Thamnurak, M. Arsanok, M. Wojnarski, P. Vanchayangkul, N. Boonyalai, P. L. Smith, M. Spring, K. Jongsakul, I. Chuang, J. Harer, S. B. Haase, The Parasite Intraerythrocytic Cycle and Human Circadian Cycle are Coupled During Malaria Infection, PNAS, vol. 120, no. 24 (2023) [bioRxiv].

K. O’Connor, K. McGoff, and A.B. Nobel, Estimation of stationary optimal transport plans, Information and Inference, vol. 13, no. 2 (2024) [arxiv:2107.11858].

K. O’Connor*, B. Yi*, K. McGoff, and A.B. Nobel, Alignment and comparison of directed networks via transition couplings of random walks, Journal of the Royal Statistical Society: Series B, Volume 87, Issue 1, February 2025, Pages 186–210 [arxiv:2106.07106].

F. C. Motta, K. McGoff, B. Cummins, S. B. Haase, Generalized measures of population synchrony, Mathematical Biosciences, vol. 380, February 2025, 109344 [arxiv:2406.15987].

R. Bland and K. McGoff, Homomorphisms from aperiodic subshifts to subshifts with the finite extension property, submitted [arXiv:2410.18795].

*Shared credit as first author

Undergraduate research publications directed

B. Stich, Strong Recovery In Group Synchronization, Rose-Hulman Undergraduate Mathematics Journal, vol. 24, issue 1 (2023) [arxiv:2111.03705].

M. Herring, A probabilistic analysis of shotgun sequencing for metagenomics, SIAM Undergraduate Research Online, vol. 15 (2022) [arxiv:2201.05029].

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