<h1>Hutchcroft, Thomas</h1> <h2>Monograph from <a href="https://authors.library.caltech.edu">CaltechAUTHORS</a></h2> <ul> <li>Hutchcroft, Tom and Michta, Emmanuel, el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210924-202253573">High-dimensional near-critical percolation and the torus plateau</a>; <a href="https://doi.org/10.48550/arXiv.2107.12971">10.48550/arXiv.2107.12971</a></li> <li>Hutchcroft, Tom (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210924-202147400">On the derivation of mean-field percolation critical exponents from the triangle condition</a>; <a href="https://doi.org/10.48550/arXiv.2106.06400v2">10.48550/arXiv.2106.06400v2</a></li> <li>Hutchcroft, Tom and Tointon, Matthew (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210924-202143857">Non-triviality of the phase transition for percolation on finite transitive graphs</a>; <a href="https://doi.org/10.48550/arXiv.2104.05607">10.48550/arXiv.2104.05607</a></li> <li>Hutchcroft, Tom (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210924-202140311">The critical two-point function for long-range percolation on the hierarchical lattice</a>; <a href="https://doi.org/10.48550/arXiv.2103.17013">10.48550/arXiv.2103.17013</a></li> <li>Hutchcroft, Tom (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210924-202136797">Transience and recurrence of sets for branching random walk via non-standard stochastic orders</a>; <a href="https://doi.org/10.48550/arXiv.2011.06402">10.48550/arXiv.2011.06402</a></li> <li>Hutchcroft, Tom and Sousi, Perla (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210924-202133236">Logarithmic corrections to scaling in the four-dimensional uniform spanning tree</a>; <a href="https://doi.org/10.48550/arXiv.2010.15830">10.48550/arXiv.2010.15830</a></li> <li>Hutchcroft, Tom (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210924-202126385">Power-law bounds for critical long-range percolation below the upper-critical dimension</a>; <a href="https://doi.org/10.48550/arXiv.2008.11197">10.48550/arXiv.2008.11197</a></li> <li>Hutchcroft, Tom (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210924-202122977">Continuity of the Ising phase transition on nonamenable groups</a>; <a href="https://doi.org/10.48550/arXiv.2007.15625">10.48550/arXiv.2007.15625</a></li> <li>Angel, Omer and Hutchcroft, Tom, el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210924-202119558">On the tail of the branching random walk local time</a>; <a href="https://doi.org/10.48550/arXiv.2002.12188">10.48550/arXiv.2002.12188</a></li> <li>Hutchcroft, Tom (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210924-202116146">Slightly supercritical percolation on nonamenable graphs I: The distribution of finite clusters</a>; <a href="https://doi.org/10.48550/arXiv.2002.02916">10.48550/arXiv.2002.02916</a></li> <li>Hutchcroft, Tom (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210924-202112742">Non-intersection of transient branching random walks</a>; <a href="https://doi.org/10.48550/arXiv.1910.01018">10.48550/arXiv.1910.01018</a></li> </ul>