Hutchcroft, Tom Continuity of the Ising phase transition on nonamenable groups. (English) Zbl 07754954 Commun. Math. Phys. 404, No. 1, 227-286 (2023). MSC: 82Bxx 60Kxx 05Cxx PDFBibTeX XMLCite \textit{T. Hutchcroft}, Commun. Math. Phys. 404, No. 1, 227--286 (2023; Zbl 07754954) Full Text: DOI arXiv
Hutchcroft, Tom; Sousi, Perla Logarithmic corrections to scaling in the four-dimensional uniform spanning tree. (English) Zbl 1515.60317 Commun. Math. Phys. 401, No. 2, 2115-2191 (2023). MSC: 60K35 60G50 60D05 82B41 PDFBibTeX XMLCite \textit{T. Hutchcroft} and \textit{P. Sousi}, Commun. Math. Phys. 401, No. 2, 2115--2191 (2023; Zbl 1515.60317) Full Text: DOI arXiv
Hutchcroft, Tom On the derivation of mean-field percolation critical exponents from the triangle condition. (English) Zbl 1495.82012 J. Stat. Phys. 189, No. 1, Paper No. 6, 33 p. (2022). MSC: 82B43 60K35 82B20 82B26 82B27 PDFBibTeX XMLCite \textit{T. Hutchcroft}, J. Stat. Phys. 189, No. 1, Paper No. 6, 33 p. (2022; Zbl 1495.82012) Full Text: DOI arXiv
Benjamini, Itai; Hutchcroft, Tom Large, lengthy graphs look locally like lines. (English) Zbl 1467.05059 Bull. Lond. Math. Soc. 53, No. 2, 482-492 (2021). MSC: 05C12 05C80 51F99 60C05 PDFBibTeX XMLCite \textit{I. Benjamini} and \textit{T. Hutchcroft}, Bull. Lond. Math. Soc. 53, No. 2, 482--492 (2021; Zbl 1467.05059) Full Text: DOI arXiv
Hermon, Jonathan; Hutchcroft, Tom Supercritical percolation on nonamenable graphs: isoperimetry, analyticity, and exponential decay of the cluster size distribution. (English) Zbl 1516.60057 Invent. Math. 224, No. 2, 445-486 (2021). Reviewer: Oriane Blondel (Villeurbanne) MSC: 60K35 82B43 05C80 PDFBibTeX XMLCite \textit{J. Hermon} and \textit{T. Hutchcroft}, Invent. Math. 224, No. 2, 445--486 (2021; Zbl 1516.60057) Full Text: DOI arXiv
Curien, Nicolas; Hutchcroft, Tom; Nachmias, Asaf Geometric and spectral properties of causal maps. (English) Zbl 1454.05107 J. Eur. Math. Soc. (JEMS) 22, No. 12, 3997-4024 (2020). MSC: 05C80 05C81 05C10 05C05 PDFBibTeX XMLCite \textit{N. Curien} et al., J. Eur. Math. Soc. (JEMS) 22, No. 12, 3997--4024 (2020; Zbl 1454.05107) Full Text: DOI arXiv
Gwynne, Ewain; Hutchcroft, Tom Anomalous diffusion of random walk on random planar maps. (English) Zbl 1471.60160 Probab. Theory Relat. Fields 178, No. 1-2, 567-611 (2020). MSC: 60K50 60J67 60D05 PDFBibTeX XMLCite \textit{E. Gwynne} and \textit{T. Hutchcroft}, Probab. Theory Relat. Fields 178, No. 1--2, 567--611 (2020; Zbl 1471.60160) Full Text: DOI arXiv
Hutchcroft, Tom Non-intersection of transient branching random walks. (English) Zbl 1471.60015 Probab. Theory Relat. Fields 178, No. 1-2, 1-23 (2020). MSC: 60D05 60J80 60K35 PDFBibTeX XMLCite \textit{T. Hutchcroft}, Probab. Theory Relat. Fields 178, No. 1--2, 1--23 (2020; Zbl 1471.60015) Full Text: DOI arXiv
Hutchcroft, Tom Locality of the critical probability for transitive graphs of exponential growth. (English) Zbl 1506.60107 Ann. Probab. 48, No. 3, 1352-1371 (2020). MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{T. Hutchcroft}, Ann. Probab. 48, No. 3, 1352--1371 (2020; Zbl 1506.60107) Full Text: DOI arXiv Euclid
Hutchcroft, Tom Indistinguishability of collections of trees in the uniform spanning forest. (English. French summary) Zbl 1444.60016 Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 2, 917-927 (2020). MSC: 60C05 60D05 37A20 05C80 60G50 60K35 PDFBibTeX XMLCite \textit{T. Hutchcroft}, Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 2, 917--927 (2020; Zbl 1444.60016) Full Text: DOI arXiv Euclid
Hutchcroft, Tom Universality of high-dimensional spanning forests and sandpiles. (English) Zbl 1434.60296 Probab. Theory Relat. Fields 176, No. 1-2, 533-597 (2020). MSC: 60K35 82B20 PDFBibTeX XMLCite \textit{T. Hutchcroft}, Probab. Theory Relat. Fields 176, No. 1--2, 533--597 (2020; Zbl 1434.60296) Full Text: DOI arXiv
Hutchcroft, Tom; Nachmias, Asaf Uniform spanning forests of planar graphs. (English) Zbl 1422.60022 Forum Math. Sigma 7, Paper No. e29, 55 p. (2019). MSC: 60D05 05C10 PDFBibTeX XMLCite \textit{T. Hutchcroft} and \textit{A. Nachmias}, Forum Math. Sigma 7, Paper No. e29, 55 p. (2019; Zbl 1422.60022) Full Text: DOI arXiv
Hutchcroft, Tom Statistical physics on a product of trees. (English. French summary) Zbl 1467.60079 Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 2, 1001-1010 (2019). MSC: 60K35 60B99 PDFBibTeX XMLCite \textit{T. Hutchcroft}, Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 2, 1001--1010 (2019; Zbl 1467.60079) Full Text: DOI arXiv Euclid
Angel, Omer; Hutchcroft, Tom Counterexamples for percolation on unimodular random graphs. (English) Zbl 1423.60149 Sobieczky, Florian (ed.), Unimodularity in randomly generated graphs. AMS special session on unimodularity in randomly generated graphs, Denver, CO, USA, October 8–9, 2016. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 719, 11-28 (2018). MSC: 60K35 05C80 PDFBibTeX XMLCite \textit{O. Angel} and \textit{T. Hutchcroft}, Contemp. Math. 719, 11--28 (2018; Zbl 1423.60149) Full Text: DOI arXiv Link
Angel, Omer; Hutchcroft, Tom; Nachmias, Asaf; Ray, Gourab Hyperbolic and parabolic unimodular random maps. (English) Zbl 1459.60018 Geom. Funct. Anal. 28, No. 4, 879-942 (2018). MSC: 60D05 60K35 05C10 PDFBibTeX XMLCite \textit{O. Angel} et al., Geom. Funct. Anal. 28, No. 4, 879--942 (2018; Zbl 1459.60018) Full Text: DOI arXiv Link
Foxall, Eric; Hutchcroft, Tom; Junge, Matthew Coalescing random walk on unimodular graphs. (English) Zbl 1414.60078 Electron. Commun. Probab. 23, Paper No. 62, 10 p. (2018). MSC: 60K35 05C81 PDFBibTeX XMLCite \textit{E. Foxall} et al., Electron. Commun. Probab. 23, Paper No. 62, 10 p. (2018; Zbl 1414.60078) Full Text: DOI arXiv Euclid
Hutchcroft, Tom Interlacements and the wired uniform spanning forest. (English) Zbl 1391.60021 Ann. Probab. 46, No. 2, 1170-1200 (2018). Reviewer: Viktor Ohanyan (Erevan) MSC: 60C05 60B99 05C80 PDFBibTeX XMLCite \textit{T. Hutchcroft}, Ann. Probab. 46, No. 2, 1170--1200 (2018; Zbl 1391.60021) Full Text: DOI arXiv Euclid
Hutchcroft, Tom; Nachmias, Asaf Indistinguishability of trees in uniform spanning forests. (English) Zbl 1407.60019 Probab. Theory Relat. Fields 168, No. 1-2, 113-152 (2017). MSC: 60D05 05C80 60K35 05C05 PDFBibTeX XMLCite \textit{T. Hutchcroft} and \textit{A. Nachmias}, Probab. Theory Relat. Fields 168, No. 1--2, 113--152 (2017; Zbl 1407.60019) Full Text: DOI arXiv
Angel, Omer; Hutchcroft, Tom; Nachmias, Asaf; Ray, Gourab Unimodular hyperbolic triangulations: circle packing and random walk. (English) Zbl 1360.52012 Invent. Math. 206, No. 1, 229-268 (2016). Reviewer: Anton Shutov (Vladimir) MSC: 52C15 05C80 05C81 51M10 PDFBibTeX XMLCite \textit{O. Angel} et al., Invent. Math. 206, No. 1, 229--268 (2016; Zbl 1360.52012) Full Text: DOI arXiv Link