Holmes, Mark; Holroyd, Alexander E.; Ramírez, Alejandro Cyclic products and optimal traps in cyclic birth and death chains. (English) Zbl 1522.90158 Electron. J. Comb. 30, No. 2, Research Paper P2.52, 20 p. (2023). MSC: 90C27 60J10 60C05 PDFBibTeX XMLCite \textit{M. Holmes} et al., Electron. J. Comb. 30, No. 2, Research Paper P2.52, 20 p. (2023; Zbl 1522.90158) Full Text: DOI arXiv
Holroyd, Alexander E. Symmetrization for finitely dependent colouring. arXiv:2305.13980 Preprint, arXiv:2305.13980 [math.PR] (2023). MSC: 60G10 05C15 60C05 BibTeX Cite \textit{A. E. Holroyd}, ``Symmetrization for finitely dependent colouring'', Preprint, arXiv:2305.13980 [math.PR] (2023) Full Text: arXiv OA License
Holroyd, Alexander E. The spinor linkage – a mechanical implementation of the plate trick. (English) Zbl 07614254 J. Math. Arts 16, No. 1-2, 133-161 (2022). MSC: 00A66 PDFBibTeX XMLCite \textit{A. E. Holroyd}, J. Math. Arts 16, No. 1--2, 133--161 (2022; Zbl 07614254) Full Text: DOI arXiv
Holroyd, Alexander E.; Janson, Svante; Wästlund, Johan Minimal matchings of point processes. (English) Zbl 1500.60006 Probab. Theory Relat. Fields 184, No. 1-2, 571-611 (2022). MSC: 60D05 60G55 05C70 PDFBibTeX XMLCite \textit{A. E. Holroyd} et al., Probab. Theory Relat. Fields 184, No. 1--2, 571--611 (2022; Zbl 1500.60006) Full Text: DOI arXiv
Holroyd, Alexander E.; Martin, James B. Galton-Watson games. (English) Zbl 07749498 Random Struct. Algorithms 59, No. 4, 495-521 (2021). MSC: 91A46 91A05 60J85 PDFBibTeX XMLCite \textit{A. E. Holroyd} and \textit{J. B. Martin}, Random Struct. Algorithms 59, No. 4, 495--521 (2021; Zbl 07749498) Full Text: DOI arXiv OA License
Amir, Gideon; Angel, Omer; Holroyd, Alexander E. Multicolour Poisson matching. (English) Zbl 1483.05129 Ann. Inst. Henri Poincaré, Probab. Stat. 57, No. 4, 1811-1833 (2021). MSC: 05C70 60D05 60G55 PDFBibTeX XMLCite \textit{G. Amir} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 57, No. 4, 1811--1833 (2021; Zbl 1483.05129) Full Text: DOI arXiv
Angel, Omer; Holroyd, Alexander E.; Hutchcroft, Tom; Levy, Avi Mallows permutations as stable matchings. (English) Zbl 1493.60017 Can. J. Math. 73, No. 6, 1531-1555 (2021). MSC: 60C05 05A05 05C70 PDFBibTeX XMLCite \textit{O. Angel} et al., Can. J. Math. 73, No. 6, 1531--1555 (2021; Zbl 1493.60017) Full Text: DOI arXiv
Holroyd, Alexander E.; Li, Zhongyang Constrained percolation in two dimensions. (English) Zbl 1482.82035 Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. 8, No. 3, 323-375 (2021). MSC: 82B43 82B20 PDFBibTeX XMLCite \textit{A. E. Holroyd} and \textit{Z. Li}, Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. 8, No. 3, 323--375 (2021; Zbl 1482.82035) Full Text: DOI arXiv
Gravner, Janko; Holroyd, Alexander E.; Sivakoff, David Polluted bootstrap percolation in three dimensions. (English) Zbl 1479.60195 Ann. Appl. Probab. 31, No. 1, 218-246 (2021). MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{J. Gravner} et al., Ann. Appl. Probab. 31, No. 1, 218--246 (2021; Zbl 1479.60195) Full Text: DOI arXiv Link
Aldous, David; Caputo, Pietro; Durrett, Rick; Holroyd, Alexander E.; Jung, Paul; Puha, Amber L. The life and mathematical legacy of Thomas M. Liggett. (English) Zbl 1454.01026 Notices Am. Math. Soc. 68, No. 1, 67-79 (2021). MSC: 01A70 PDFBibTeX XMLCite \textit{D. Aldous} et al., Notices Am. Math. Soc. 68, No. 1, 67--79 (2021; Zbl 1454.01026) Full Text: DOI arXiv
Holroyd, Alexander E.; Hutchcroft, Tom; Levy, Avi Mallows permutations and finite dependence. (English) Zbl 1456.60081 Ann. Probab. 48, No. 1, 343-379 (2020). MSC: 60G10 05C15 05A05 PDFBibTeX XMLCite \textit{A. E. Holroyd} et al., Ann. Probab. 48, No. 1, 343--379 (2020; Zbl 1456.60081) Full Text: DOI arXiv Euclid
Billey, Sara C.; Holroyd, Alexander E.; Young, Benjamin J. A bijective proof of Macdonald’s reduced word formula. (English. French summary) Zbl 1440.05230 Proceedings of the 28th international conference on formal power series and algebraic combinatorics, FPSAC 2016, Vancouver, Canada, July 4–8, 2016. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Math. Theor. Comput. Sci., Proc., 251-262 (2020). MSC: 05E14 14N15 05A05 PDFBibTeX XMLCite \textit{S. C. Billey} et al., in: Proceedings of the 28th international conference on formal power series and algebraic combinatorics, FPSAC 2016, Vancouver, Canada, July 4--8, 2016. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 251--262 (2020; Zbl 1440.05230) Full Text: Link
Holroyd, Alexander E.; Martin, James B.; Peres, Yuval Stable matchings in high dimensions via the Poisson-weighted infinite tree. (English. French summary) Zbl 1434.60056 Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 2, 826-846 (2020). MSC: 60D05 60G55 05C70 PDFBibTeX XMLCite \textit{A. E. Holroyd} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 2, 826--846 (2020; Zbl 1434.60056) Full Text: DOI arXiv Euclid
Holroyd, Alexander E.; Levine, Lionel; Winkler, Peter Abelian logic gates. (English) Zbl 1433.68138 Comb. Probab. Comput. 28, No. 3, 388-422 (2019). MSC: 68Q06 68Q10 68Q45 PDFBibTeX XMLCite \textit{A. E. Holroyd} et al., Comb. Probab. Comput. 28, No. 3, 388--422 (2019; Zbl 1433.68138) Full Text: DOI arXiv
Gravner, Janko; Holroyd, Alexander E. Polluted bootstrap percolation with threshold two in all dimensions. (English) Zbl 1422.60158 Probab. Theory Relat. Fields 175, No. 1-2, 467-486 (2019). MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{J. Gravner} and \textit{A. E. Holroyd}, Probab. Theory Relat. Fields 175, No. 1--2, 467--486 (2019; Zbl 1422.60158) Full Text: DOI arXiv
Holroyd, Alexander E.; Marcovici, Irène; Martin, James B. Percolation games, probabilistic cellular automata, and the hard-core model. (English) Zbl 1418.91100 Probab. Theory Relat. Fields 174, No. 3-4, 1187-1217 (2019). MSC: 91A43 05C57 91A05 60K35 37B15 68Q80 PDFBibTeX XMLCite \textit{A. E. Holroyd} et al., Probab. Theory Relat. Fields 174, No. 3--4, 1187--1217 (2019; Zbl 1418.91100) Full Text: DOI arXiv
Billey, Sara C.; Holroyd, Alexander E.; Young, Benjamin J. A bijective proof of Macdonald’s reduced word formula. (English) Zbl 1409.05024 Algebr. Comb. 2, No. 2, 217-248 (2019). MSC: 05A17 05A15 05E10 05E05 14M15 60J99 PDFBibTeX XMLCite \textit{S. C. Billey} et al., Algebr. Comb. 2, No. 2, 217--248 (2019; Zbl 1409.05024) Full Text: DOI arXiv
Angel, Omer; Dauvergne, Duncan; Holroyd, Alexander E.; Virág, Bálint The local limit of random sorting networks. (English. French summary) Zbl 1455.60016 Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 1, 412-440 (2019). MSC: 60C05 05E10 68P10 PDFBibTeX XMLCite \textit{O. Angel} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 1, 412--440 (2019; Zbl 1455.60016) Full Text: DOI arXiv Euclid
Holroyd, Alexander E.; Levy, Avi; Podder, Moumanti; Spencer, Joel Existential monadic second order logic on random rooted trees. (English) Zbl 1400.05211 Discrete Math. 342, No. 1, 152-167 (2019). MSC: 05C80 05C05 03B15 PDFBibTeX XMLCite \textit{A. E. Holroyd} et al., Discrete Math. 342, No. 1, 152--167 (2019; Zbl 1400.05211) Full Text: DOI arXiv
Holroyd, Alexander E.; Hutchcroft, Tom; Levy, Avi Finitely dependent cycle coloring. (English) Zbl 1398.60054 Electron. Commun. Probab. 23, Paper No. 64, 12 p. (2018). MSC: 60G10 05C15 05A05 PDFBibTeX XMLCite \textit{A. E. Holroyd} et al., Electron. Commun. Probab. 23, Paper No. 64, 12 p. (2018; Zbl 1398.60054) Full Text: DOI arXiv Euclid
Angel, Omer; Holroyd, Alexander E. Perfect shuffling by lazy swaps. (English) Zbl 1393.05004 Electron. Commun. Probab. 23, Paper No. 47, 11 p. (2018). MSC: 05A05 60C05 68P10 PDFBibTeX XMLCite \textit{O. Angel} and \textit{A. E. Holroyd}, Electron. Commun. Probab. 23, Paper No. 47, 11 p. (2018; Zbl 1393.05004) Full Text: DOI arXiv Euclid
Deijfen, Maria; Holroyd, Alexander E.; Martin, James B. Friendly frogs, stable marriage, and the magic of invariance. (English) Zbl 1394.05077 Am. Math. Mon. 124, No. 5, 387-402 (2017). MSC: 05C57 60K35 60D05 60G55 PDFBibTeX XMLCite \textit{M. Deijfen} et al., Am. Math. Mon. 124, No. 5, 387--402 (2017; Zbl 1394.05077) Full Text: DOI arXiv
Holroyd, Alexander E.; Schramm, Oded; Wilson, David B. Finitary coloring. (English) Zbl 1385.60048 Ann. Probab. 45, No. 5, 2867-2898 (2017). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 60G10 05C15 37A50 PDFBibTeX XMLCite \textit{A. E. Holroyd} et al., Ann. Probab. 45, No. 5, 2867--2898 (2017; Zbl 1385.60048) Full Text: DOI arXiv Euclid
Nachmanson, Lev; Nocaj, Arlind; Bereg, Sergey; Zhang, Leishi; Holroyd, Alexander Node overlap removal by growing a tree. (English) Zbl 1371.05288 J. Graph Algorithms Appl. 21, No. 5, 857-872 (2017). MSC: 05C85 05C05 PDFBibTeX XMLCite \textit{L. Nachmanson} et al., J. Graph Algorithms Appl. 21, No. 5, 857--872 (2017; Zbl 1371.05288) Full Text: DOI arXiv
Chawla, Shuchi; Devanur, Nikhil R.; Holroyd, Alexander E.; Karlin, Anna R.; Martin, James B.; Sivan, Balasubramanian Stability of service under time-of-use pricing. (English) Zbl 1369.90040 Hatami, Hamed (ed.) et al., Proceedings of the 49th annual ACM SIGACT symposium on theory of computing, STOC ’17, Montreal, QC, Canada, June 19–23, 2017. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-4528-6). 184-197 (2017). MSC: 90B22 91B24 PDFBibTeX XMLCite \textit{S. Chawla} et al., in: Proceedings of the 49th annual ACM SIGACT symposium on theory of computing, STOC '17, Montreal, QC, Canada, June 19--23, 2017. New York, NY: Association for Computing Machinery (ACM). 184--197 (2017; Zbl 1369.90040) Full Text: DOI arXiv
Holroyd, Alexander E. One-dependent coloring by finitary factors. (English. French summary) Zbl 1370.60061 Ann. Inst. Henri Poincaré, Probab. Stat. 53, No. 2, 753-765 (2017). MSC: 60G10 05C15 05D10 60C05 PDFBibTeX XMLCite \textit{A. E. Holroyd}, Ann. Inst. Henri Poincaré, Probab. Stat. 53, No. 2, 753--765 (2017; Zbl 1370.60061) Full Text: DOI arXiv Euclid
Holroyd, Alexander E. Perfect snake-in-the-box codes for rank modulation. (English) Zbl 1359.94798 IEEE Trans. Inf. Theory 63, No. 1, 104-110 (2017). MSC: 94B25 94A14 PDFBibTeX XMLCite \textit{A. E. Holroyd}, IEEE Trans. Inf. Theory 63, No. 1, 104--110 (2017; Zbl 1359.94798) Full Text: DOI arXiv
Holroyd, Alexander E.; Liggett, Thomas M. Finitely dependent coloring. (English) Zbl 1361.60025 Forum Math. Pi 4, Paper No. e9, 43 p. (2016). MSC: 60G10 05C15 60C05 PDFBibTeX XMLCite \textit{A. E. Holroyd} and \textit{T. M. Liggett}, Forum Math. Pi 4, Paper No. e9, 43 p. (2016; Zbl 1361.60025) Full Text: DOI arXiv
Basu, Riddhipratim; Holroyd, Alexander E.; Martin, James B.; Wästlund, Johan Trapping games on random boards. (English) Zbl 1356.05088 Ann. Appl. Probab. 26, No. 6, 3727-3753 (2016). MSC: 05C57 05C69 05C35 91A43 91A05 91A46 60K35 05C70 PDFBibTeX XMLCite \textit{R. Basu} et al., Ann. Appl. Probab. 26, No. 6, 3727--3753 (2016; Zbl 1356.05088) Full Text: DOI arXiv Euclid
Nachmanson, Lev; Nocaj, Arlind; Bereg, Sergey; Zhang, Leishi; Holroyd, Alexander Node overlap removal by growing a tree. (English) Zbl 1478.68255 Hu, Yifan (ed.) et al., Graph drawing and network visualization. 24th international symposium, GD 2016, Athens, Greece, September 19–21, 2016. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 9801, 33-43 (2016). MSC: 68R10 68U05 68W05 PDFBibTeX XMLCite \textit{L. Nachmanson} et al., Lect. Notes Comput. Sci. 9801, 33--43 (2016; Zbl 1478.68255) Full Text: DOI Link
Bereg, Sergey; Holroyd, Alexander E.; Nachmanson, Lev; Pupyrev, Sergey Representing permutations with few moves. (English) Zbl 1347.05002 SIAM J. Discrete Math. 30, No. 4, 1950-1977 (2016). MSC: 05A05 68Q17 05C62 PDFBibTeX XMLCite \textit{S. Bereg} et al., SIAM J. Discrete Math. 30, No. 4, 1950--1977 (2016; Zbl 1347.05002) Full Text: DOI arXiv
Pupyrev, Sergey; Nachmanson, Lev; Bereg, Sergey; Holroyd, Alexander E. Edge routing with ordered bundles. (English) Zbl 1356.68162 Comput. Geom. 52, 18-33 (2016). MSC: 68R10 68U05 PDFBibTeX XMLCite \textit{S. Pupyrev} et al., Comput. Geom. 52, 18--33 (2016; Zbl 1356.68162) Full Text: DOI
Nachmanson, Lev; Prutkin, Roman; Lee, Bongshin; Riche, Nathalie Henry; Holroyd, Alexander E.; Chen, Xiaoji GraphMaps: browsing large graphs as interactive maps. (English) Zbl 1471.68207 Di Giacomo, Emilio (ed.) et al., Graph drawing and network visualization. 23rd international symposium, GD 2015, Los Angeles, CA, USA, September 24–26, 2015. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 9411, 3-15 (2015). MSC: 68R10 68U05 PDFBibTeX XMLCite \textit{L. Nachmanson} et al., Lect. Notes Comput. Sci. 9411, 3--15 (2015; Zbl 1471.68207) Full Text: DOI arXiv
Holroyd, Alexander E.; Martin, James B. Poisson allocations with bounded connected cells. (English) Zbl 1328.60026 Electron. Commun. Probab. 20, Paper No. 69, 8 p. (2015). MSC: 60D05 60G55 60G10 PDFBibTeX XMLCite \textit{A. E. Holroyd} and \textit{J. B. Martin}, Electron. Commun. Probab. 20, Paper No. 69, 8 p. (2015; Zbl 1328.60026) Full Text: DOI arXiv
Holroyd, Alexander E.; Liggett, Thomas M. Symmetric 1-dependent colorings of the integers. (English) Zbl 1385.60014 Electron. Commun. Probab. 20, Paper No. 31, 8 p. (2015). MSC: 60C05 60G10 05C15 PDFBibTeX XMLCite \textit{A. E. Holroyd} and \textit{T. M. Liggett}, Electron. Commun. Probab. 20, Paper No. 31, 8 p. (2015; Zbl 1385.60014) Full Text: DOI arXiv
Gravner, Janko; Holroyd, Alexander E. Percolation and disorder-resistance in cellular automata. (English) Zbl 1322.60214 Ann. Probab. 43, No. 4, 1731-1776 (2015). Reviewer: Arvind Ayyer (Bangalore) MSC: 60K35 37B15 82C43 PDFBibTeX XMLCite \textit{J. Gravner} and \textit{A. E. Holroyd}, Ann. Probab. 43, No. 4, 1731--1776 (2015; Zbl 1322.60214) Full Text: DOI arXiv Euclid
Holroyd, Alexander E.; Peres, Yuval; Steif, Jeffrey E. Wald for non-stopping times: the rewards of impatient prophets. (English) Zbl 1334.60071 Electron. Commun. Probab. 19, Paper No. 78, 9 p. (2014). MSC: 60G50 60G40 PDFBibTeX XMLCite \textit{A. E. Holroyd} et al., Electron. Commun. Probab. 19, Paper No. 78, 9 p. (2014; Zbl 1334.60071) Full Text: DOI arXiv
Grimmett, Geoffrey R.; Holroyd, Alexander E.; Kozma, Gady Percolation of finite clusters and infinite surfaces. (English) Zbl 1303.60090 Math. Proc. Camb. Philos. Soc. 156, No. 2, 263-279 (2014). Reviewer: Piotr Garbaczewski (Opole) MSC: 60K35 82B43 82B20 PDFBibTeX XMLCite \textit{G. R. Grimmett} et al., Math. Proc. Camb. Philos. Soc. 156, No. 2, 263--279 (2014; Zbl 1303.60090) Full Text: DOI arXiv
Grimmett, Geoffrey R.; Holroyd, Alexander E.; Peres, Yuval Extendable self-avoiding walks. (English) Zbl 1285.05163 Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. 1, No. 1, 61-75 (2014). MSC: 05C81 05C30 82B20 60K35 PDFBibTeX XMLCite \textit{G. R. Grimmett} et al., Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. 1, No. 1, 61--75 (2014; Zbl 1285.05163) Full Text: DOI arXiv
Angel, Omer; Holroyd, Alexander E.; Kozma, Gady; Wästlund, Johan; Winkler, Peter The phase transition for dyadic tilings. (English) Zbl 1283.05052 Trans. Am. Math. Soc. 366, No. 2, 1029-1046 (2014). MSC: 05B45 52C20 60G18 PDFBibTeX XMLCite \textit{O. Angel} et al., Trans. Am. Math. Soc. 366, No. 2, 1029--1046 (2014; Zbl 1283.05052) Full Text: DOI arXiv Link
Holroyd, Alexander E.; Martin, James B. Stochastic domination and comb percolation. (English) Zbl 1291.60204 Electron. J. Probab. 19, Paper No. 5, 16 p. (2014). MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{A. E. Holroyd} and \textit{J. B. Martin}, Electron. J. Probab. 19, Paper No. 5, 16 p. (2014; Zbl 1291.60204) Full Text: DOI arXiv
Angel, Omer; Holroyd, Alexander E.; Martin, James; Wilson, David B.; Winkler, Peter Avoidance coupling. (English) Zbl 1300.60082 Electron. Commun. Probab. 18, Paper No. 58, 13 p. (2013). MSC: 60J10 05C81 PDFBibTeX XMLCite \textit{O. Angel} et al., Electron. Commun. Probab. 18, Paper No. 58, 13 p. (2013; Zbl 1300.60082) Full Text: DOI arXiv
Bringmann, Kathrin; Holroyd, Alexander E.; Mahlburg, Karl; Vlasenko, Masha \(k\)-run overpartitions and mock theta functions. (English) Zbl 1280.05009 Q. J. Math. 64, No. 4, 1009-1021 (2013). MSC: 05A17 11P81 60C05 60K35 11P84 PDFBibTeX XMLCite \textit{K. Bringmann} et al., Q. J. Math. 64, No. 4, 1009--1021 (2013; Zbl 1280.05009) Full Text: DOI arXiv
Holroyd, Alexander E.; Soo, Terry Insertion and deletion tolerance of point processes. (English) Zbl 1291.60101 Electron. J. Probab. 18, Paper No. 74, 24 p. (2013). Reviewer: Viktor Ohanyan (Erevan) MSC: 60G55 60D05 82B43 PDFBibTeX XMLCite \textit{A. E. Holroyd} and \textit{T. Soo}, Electron. J. Probab. 18, Paper No. 74, 24 p. (2013; Zbl 1291.60101) Full Text: DOI arXiv
Bereg, Sergey; Holroyd, Alexander E.; Nachmanson, Lev; Pupyrev, Sergey Drawing permutations with few corners. (English) Zbl 1406.68064 Wismath, Stephen (ed.) et al., Graph drawing. 21st international symposium, GD 2013, Bordeaux, France, September 23–25, 2013. Revised selected papers. Berlin: Springer (ISBN 978-3-319-03840-7/pbk). Lecture Notes in Computer Science 8242, 484-495 (2013). MSC: 68R10 05A05 68U05 PDFBibTeX XMLCite \textit{S. Bereg} et al., Lect. Notes Comput. Sci. 8242, 484--495 (2013; Zbl 1406.68064) Full Text: DOI arXiv
Angel, Omer; Gorin, Vadim; Holroyd, Alexander E. A pattern theorem for random sorting networks. (English) Zbl 1284.60021 Electron. J. Probab. 17, Paper No. 99, 16 p. (2012). MSC: 60C05 05E10 68P10 PDFBibTeX XMLCite \textit{O. Angel} et al., Electron. J. Probab. 17, Paper No. 99, 16 p. (2012; Zbl 1284.60021) Full Text: DOI arXiv
Angel, Omer; Holroyd, Alexander E. Recurrent rotor-router configurations. (English) Zbl 1264.82067 J. Comb. 3, No. 2, 185-194 (2012). MSC: 82B41 05C81 82C20 PDFBibTeX XMLCite \textit{O. Angel} and \textit{A. E. Holroyd}, J. Comb. 3, No. 2, 185--194 (2012; Zbl 1264.82067) Full Text: DOI arXiv
Deijfen, Maria; Häggström, Olle; Holroyd, Alexander E. Percolation in invariant Poisson graphs with i.i.d. degrees. (English) Zbl 1254.05181 Ark. Mat. 50, No. 1, 41-58 (2012). MSC: 05C80 05C07 60G55 60K35 PDFBibTeX XMLCite \textit{M. Deijfen} et al., Ark. Mat. 50, No. 1, 41--58 (2012; Zbl 1254.05181) Full Text: DOI arXiv
Holroyd, Alexander E.; Ruskey, Frank; Williams, Aaron Shorthand universal cycles for permutations. (English) Zbl 1253.68273 Algorithmica 64, No. 2, 215-245 (2012). MSC: 68R15 05C25 PDFBibTeX XMLCite \textit{A. E. Holroyd} et al., Algorithmica 64, No. 2, 215--245 (2012; Zbl 1253.68273) Full Text: DOI
Gravner, Janko; Holroyd, Alexander E.; Morris, Robert A sharper threshold for bootstrap percolation in two dimensions. (English) Zbl 1254.60092 Probab. Theory Relat. Fields 153, No. 1-2, 1-23 (2012). Reviewer: Anatoliy Pogorui (Zhytomyr) MSC: 60K35 82B20 60C05 PDFBibTeX XMLCite \textit{J. Gravner} et al., Probab. Theory Relat. Fields 153, No. 1--2, 1--23 (2012; Zbl 1254.60092) Full Text: DOI arXiv
Grimmett, G. R.; Holroyd, A. E. Geometry of Lipschitz percolation. (English. French summary) Zbl 1255.60167 Ann. Inst. Henri Poincaré, Probab. Stat. 48, No. 2, 309-326 (2012). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 60K35 82B43 82B20 PDFBibTeX XMLCite \textit{G. R. Grimmett} and \textit{A. E. Holroyd}, Ann. Inst. Henri Poincaré, Probab. Stat. 48, No. 2, 309--326 (2012; Zbl 1255.60167) Full Text: DOI arXiv Euclid
Pupyrev, Sergey; Nachmanson, Lev; Bereg, Sergey; Holroyd, Alexander E. Edge routing with ordered bundles. (English) Zbl 1311.68124 van Kreveld, Marc (ed.) et al., Graph drawing. 19th international symposium, GD 2011, Eindhoven, The Netherlands, September 21–23, 2011. Revised selected papers. Berlin: Springer (ISBN 978-3-642-25877-0/pbk). Lecture Notes in Computer Science 7034, 136-147 (2012). MSC: 68R10 05C85 68T20 68U05 PDFBibTeX XMLCite \textit{S. Pupyrev} et al., Lect. Notes Comput. Sci. 7034, 136--147 (2012; Zbl 1311.68124) Full Text: DOI arXiv
Grimmett, Geoffrey R.; Holroyd, Alexander E. Lattice embeddings in percolation. (English) Zbl 1238.60110 Ann. Probab. 40, No. 1, 146-161 (2012). Reviewer: Feng-Yu Wang (Swansea) MSC: 60K35 PDFBibTeX XMLCite \textit{G. R. Grimmett} and \textit{A. E. Holroyd}, Ann. Probab. 40, No. 1, 146--161 (2012; Zbl 1238.60110) Full Text: DOI arXiv
Holroyd, Alexander E. Some circumstances where extra updates can delay mixing. (English) Zbl 1231.82039 J. Stat. Phys. 145, No. 6, 1649-1652 (2011). MSC: 82C20 PDFBibTeX XMLCite \textit{A. E. Holroyd}, J. Stat. Phys. 145, No. 6, 1649--1652 (2011; Zbl 1231.82039) Full Text: DOI arXiv
Holroyd, Alexander E.; Lyons, Russell; Soo, Terry Poisson splitting by factors. (English) Zbl 1277.60087 Ann. Probab. 39, No. 5, 1938-1982 (2011). MSC: 60G55 37A50 PDFBibTeX XMLCite \textit{A. E. Holroyd} et al., Ann. Probab. 39, No. 5, 1938--1982 (2011; Zbl 1277.60087) Full Text: DOI arXiv
Angel, Omer; Holroyd, Alexander E. Rotor walks on general trees. (English) Zbl 1252.05032 SIAM J. Discrete Math. 25, No. 1, 423-446 (2011). MSC: 05C05 05C81 82C20 PDFBibTeX XMLCite \textit{O. Angel} and \textit{A. E. Holroyd}, SIAM J. Discrete Math. 25, No. 1, 423--446 (2011; Zbl 1252.05032) Full Text: DOI arXiv
Holroyd, Alexander E. Geometric properties of Poisson matchings. (English) Zbl 1225.60082 Probab. Theory Relat. Fields 150, No. 3-4, 511-527 (2011). MSC: 60G55 60D05 05C70 PDFBibTeX XMLCite \textit{A. E. Holroyd}, Probab. Theory Relat. Fields 150, No. 3--4, 511--527 (2011; Zbl 1225.60082) Full Text: DOI arXiv
Deijfen, Maria; Holroyd, Alexander E.; Peres, Yuval Stable Poisson graphs in one dimension. (English) Zbl 1228.60109 Electron. J. Probab. 16, Paper No. 44, 1238-1253 (2011). MSC: 60K35 05C70 05C80 91B68 PDFBibTeX XMLCite \textit{M. Deijfen} et al., Electron. J. Probab. 16, Paper No. 44, 1238--1253 (2011; Zbl 1228.60109) Full Text: DOI arXiv EMIS
Angel, Omer; Holroyd, Alexander E.; Soo, Terry Deterministic thinning of finite Poisson processes. (English) Zbl 1208.60047 Proc. Am. Math. Soc. 139, No. 2, 707-720 (2011). MSC: 60G55 PDFBibTeX XMLCite \textit{O. Angel} et al., Proc. Am. Math. Soc. 139, No. 2, 707--720 (2011; Zbl 1208.60047) Full Text: DOI arXiv
Grimmett, Geoffrey R.; Holroyd, Alexander E. Plaquettes, spheres, and entanglement. (English) Zbl 1229.60107 Electron. J. Probab. 15, Paper No. 45, 1415-1428 (2010). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 60K35 82B20 PDFBibTeX XMLCite \textit{G. R. Grimmett} and \textit{A. E. Holroyd}, Electron. J. Probab. 15, Paper No. 15, 1415--1428 (2010; Zbl 1229.60107) Full Text: DOI arXiv EMIS
Van Den Berg, Jacob; Hilário, Marcelo Richard; Holroyd, Alexander E. Escape of resources in a distributed clustering process. (English) Zbl 1226.60132 Electron. Commun. Probab. 15, 442-448 (2010). MSC: 60K35 68M14 PDFBibTeX XMLCite \textit{J. Van Den Berg} et al., Electron. Commun. Probab. 15, 442--448 (2010; Zbl 1226.60132) Full Text: DOI arXiv EMIS
Holroyd, Alexander E.; Propp, James Rotor walks and Markov chains. (English) Zbl 1217.82042 Lladser, Manuel E. (ed.) et al., Algorithmic probability and combinatorics. Papers from the AMS special sessions, Chicago, IL, USA, October 5–6, 2007 and Vancouver, BC, Canada, October 4–5, 2008. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4783-1/pbk). Contemporary Mathematics 520, 105-126 (2010). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 82B41 60G50 05C81 PDFBibTeX XMLCite \textit{A. E. Holroyd} and \textit{J. Propp}, Contemp. Math. 520, 105--126 (2010; Zbl 1217.82042) Full Text: arXiv
Holroyd, Alexander; Ruskey, Frank; Williams, Aaron Faster generation of shorthand universal cycles for permutations. (English) Zbl 1253.05008 Thai, My T. (ed.) et al., Computing and combinatorics. 16th annual international conference, COCOON 2010, Nha Trang, Vietnam, July 19–21, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-14030-3/pbk). Lecture Notes in Computer Science 6196, 298-307 (2010). MSC: 05A05 PDFBibTeX XMLCite \textit{A. Holroyd} et al., Lect. Notes Comput. Sci. 6196, 298--307 (2010; Zbl 1253.05008) Full Text: DOI
Angel, Omer; Holroyd, Alexander E. Random subnetworks of random sorting networks. (English) Zbl 1197.60003 Electron. J. Comb. 17, No. 1, Research Paper N23, 7 p. (2010). Reviewer: Leonid Petrov (Moscow) MSC: 60C05 68P10 PDFBibTeX XMLCite \textit{O. Angel} and \textit{A. E. Holroyd}, Electron. J. Comb. 17, No. 1, Research Paper N23, 7 p. (2010; Zbl 1197.60003) Full Text: arXiv EuDML EMIS
Dirr, Nicolas; Dondl, Patrick W.; Grimmett, Geoffrey R.; Holroyd, Alexander E.; Scheutzow, Michael Lipschitz percolation. (English) Zbl 1193.60115 Electron. Commun. Probab. 15, 14-21 (2010). MSC: 60K35 82B20 PDFBibTeX XMLCite \textit{N. Dirr} et al., Electron. Commun. Probab. 15, 14--21 (2010; Zbl 1193.60115) Full Text: DOI arXiv EuDML EMIS
Holroyd, Alexander E.; Soo, Terry A nonmeasurable set from coin flips. (English) Zbl 1229.28001 Am. Math. Mon. 116, No. 10, 926-928 (2009). MSC: 28A05 97K50 97I50 60A99 PDFBibTeX XMLCite \textit{A. E. Holroyd} and \textit{T. Soo}, Am. Math. Mon. 116, No. 10, 926--928 (2009; Zbl 1229.28001) Full Text: DOI arXiv
Hoffman, Christopher; Holroyd, Alexander E.; Peres, Yuval Tail bounds for the stable marriage of Poisson and Lebesgue. (English) Zbl 1191.60015 Can. J. Math. 61, No. 6, 1279-1299 (2009). Reviewer: Paolo Dulio (Milano) MSC: 60D05 PDFBibTeX XMLCite \textit{C. Hoffman} et al., Can. J. Math. 61, No. 6, 1279--1299 (2009; Zbl 1191.60015) Full Text: DOI arXiv
Gravner, Janko; Holroyd, Alexander E. Local bootstrap percolation. (English) Zbl 1190.60094 Electron. J. Probab. 14, 385-399 (2009). MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{J. Gravner} and \textit{A. E. Holroyd}, Electron. J. Probab. 14, 385--399 (2009; Zbl 1190.60094) Full Text: DOI arXiv EuDML EMIS
Angel, Omer; Holroyd, Alexander; Romik, Dan The oriented swap process. (English) Zbl 1180.82125 Ann. Probab. 37, No. 5, 1970-1998 (2009). Reviewer: Guy Jumarie (Montréal) MSC: 82C22 60K35 60C05 PDFBibTeX XMLCite \textit{O. Angel} et al., Ann. Probab. 37, No. 5, 1970--1998 (2009; Zbl 1180.82125) Full Text: DOI arXiv
Holroyd, Alexander E.; Pemantle, Robin; Peres, Yuval; Schramm, Oded Poisson matching. (English) Zbl 1175.60012 Ann. Inst. Henri Poincaré, Probab. Stat. 45, No. 1, 266-287 (2009). Reviewer: Ilya S. Molchanov (Bern) MSC: 60D05 60G55 05C70 PDFBibTeX XMLCite \textit{A. E. Holroyd} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 45, No. 1, 266--287 (2009; Zbl 1175.60012) Full Text: DOI arXiv EuDML
Cotar, Codina; Holroyd, Alexander E.; Revelle, David A percolating hard sphere model. (English) Zbl 1159.60351 Random Struct. Algorithms 34, No. 2, 285-299 (2009). MSC: 60K35 PDFBibTeX XMLCite \textit{C. Cotar} et al., Random Struct. Algorithms 34, No. 2, 285--299 (2009; Zbl 1159.60351) Full Text: DOI arXiv
Angel, Omer; Holroyd, Alexander E.; Martin, James B.; Propp, James Discrete low-discrepancy sequences. arXiv:0910.1077 Preprint, arXiv:0910.1077 [math.CO] (2009). MSC: 82C20 20K01 05C25 BibTeX Cite \textit{O. Angel} et al., ``Discrete low-discrepancy sequences'', Preprint, arXiv:0910.1077 [math.CO] (2009) Full Text: arXiv OA License
Holroyd, Alexander E.; Levine, Lionel; Mészáros, Karola; Peres, Yuval; Propp, James; Wilson, David B. Chip-firing and rotor-routing on directed graphs. (English) Zbl 1173.82339 Sidoravicius, Vladas (ed.) et al., In and out of equilibrium 2. Papers celebrating the 10th edition of the Brazilian school of probability (EBP), Rio de Janiero, Brazil, July 30 to August 4, 2006. Basel: Birkhäuser (ISBN 978-3-7643-8785-3/hbk). Progress in Probability 60, 331-364 (2008). MSC: 82C20 20K01 05C25 PDFBibTeX XMLCite \textit{A. E. Holroyd} et al., Prog. Probab. 60, 331--364 (2008; Zbl 1173.82339) Full Text: arXiv
Holroyd, Alexander E. Partition identities and the coin exchange problem. (English) Zbl 1228.05061 J. Comb. Theory, Ser. A 115, No. 6, 1096-1101 (2008). MSC: 05A19 05A17 PDFBibTeX XMLCite \textit{A. E. Holroyd}, J. Comb. Theory, Ser. A 115, No. 6, 1096--1101 (2008; Zbl 1228.05061) Full Text: DOI arXiv
Gravner, Janko; Holroyd, Alexander E. Slow convergence in bootstrap percolation. (English) Zbl 1141.60062 Ann. Appl. Probab. 18, No. 3, 909-928 (2008). MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{J. Gravner} and \textit{A. E. Holroyd}, Ann. Appl. Probab. 18, No. 3, 909--928 (2008; Zbl 1141.60062) Full Text: DOI arXiv
Angel, Omer; Holroyd, Alexander E.; Romik, Dan; Virág, Bálint Random sorting networks. (English) Zbl 1132.60008 Adv. Math. 215, No. 2, 839-868 (2007). Reviewer: Hsien-Kuei Hwang (Taipei) MSC: 60C05 68P10 05C25 05E10 PDFBibTeX XMLCite \textit{O. Angel} et al., Adv. Math. 215, No. 2, 839--868 (2007; Zbl 1132.60008) Full Text: DOI arXiv
Harvey, Nate; Holroyd, Alexander E.; Peres, Yuval; Romik, Dan Universal finitary codes with exponential tails. (English) Zbl 1148.37004 Proc. Lond. Math. Soc. (3) 94, No. 2, 475-496 (2007). Reviewer: Geoffrey R. Goodson (Towson) MSC: 37A50 28D20 94B99 37B10 60G55 PDFBibTeX XMLCite \textit{N. Harvey} et al., Proc. Lond. Math. Soc. (3) 94, No. 2, 475--496 (2007; Zbl 1148.37004) Full Text: DOI arXiv
Hoffman, Christopher; Holroyd, Alexander E.; Peres, Yuval A stable marriage of Poisson and Lebesgue. (English) Zbl 1111.60008 Ann. Probab. 34, No. 4, 1241-1272 (2006). Reviewer: Evgueni Spodarev (Ulm) MSC: 60D05 60G55 PDFBibTeX XMLCite \textit{C. Hoffman} et al., Ann. Probab. 34, No. 4, 1241--1272 (2006; Zbl 1111.60008) Full Text: DOI arXiv
Holroyd, Alexander E. The metastability threshold for modified bootstrap percolation in \(d\) dimensions. (English) Zbl 1112.60080 Electron. J. Probab. 11, Paper No. 17, 418-433 (2006). MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{A. E. Holroyd}, Electron. J. Probab. 11, Paper No. 17, 418--433 (2006; Zbl 1112.60080) Full Text: DOI arXiv EuDML
Angel, Omer; Holroyd, Alexander E.; Martin, James B. The jammed phase of the Biham-Middleton-Levine traffic model. (English) Zbl 1111.60067 Electron. Commun. Probab. 10, 167-178 (2005). MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{O. Angel} et al., Electron. Commun. Probab. 10, 167--178 (2005; Zbl 1111.60067) Full Text: DOI arXiv EuDML
Holroyd, Alexander E.; Peres, Yuval Extra heads and invariant allocations. (English) Zbl 1097.60032 Ann. Probab. 33, No. 1, 31-52 (2005). MSC: 60G55 PDFBibTeX XMLCite \textit{A. E. Holroyd} and \textit{Y. Peres}, Ann. Probab. 33, No. 1, 31--52 (2005; Zbl 1097.60032) Full Text: DOI arXiv
Holroyd, Alexander E.; Liggett, Thomas M.; Romik, Dan Integrals, partitions, and cellular automata. (English) Zbl 1095.60003 Trans. Am. Math. Soc. 356, No. 8, 3349-3368 (2004). Reviewer: Ilya S. Molchanov (Bern) MSC: 60C05 11P81 05A17 60K35 82C43 PDFBibTeX XMLCite \textit{A. E. Holroyd} et al., Trans. Am. Math. Soc. 356, No. 8, 3349--3368 (2004; Zbl 1095.60003) Full Text: DOI arXiv
Holroyd, Alexander E.; Peres, Yuval Trees and matchings from point processes. (English) Zbl 1060.60048 Electron. Commun. Probab. 8, 17-27 (2003). MSC: 60G55 60D05 60K35 PDFBibTeX XMLCite \textit{A. E. Holroyd} and \textit{Y. Peres}, Electron. Commun. Probab. 8, 17--27 (2003; Zbl 1060.60048) Full Text: DOI arXiv EuDML
Holroyd, Alexander E. Sharp metastability threshold for two-dimensional bootstrap percolation. (English) Zbl 1042.60065 Probab. Theory Relat. Fields 125, No. 2, 195-224 (2003). Reviewer: Martin Janžura (Praha) MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{A. E. Holroyd}, Probab. Theory Relat. Fields 125, No. 2, 195--224 (2003; Zbl 1042.60065) Full Text: DOI arXiv
Holroyd, Alexander E. Knotted paths in percolation. (English) Zbl 1020.60097 J. Stat. Phys. 109, No. 1-2, 325-330 (2002). MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{A. E. Holroyd}, J. Stat. Phys. 109, No. 1--2, 325--330 (2002; Zbl 1020.60097) Full Text: DOI
Holroyd, Alexander E. Inequalities in entanglement percolation. (English) Zbl 1020.60096 J. Stat. Phys. 109, No. 1-2, 317-323 (2002). MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{A. E. Holroyd}, J. Stat. Phys. 109, No. 1--2, 317--323 (2002; Zbl 1020.60096) Full Text: DOI
Holroyd, Alexander E. Entanglement and rigidity in percolation models. (English) Zbl 1011.60089 Sidoravicius, Vladas (ed.), In and out of equilibrium. Probability with a physics flavor. Papers from the 4th Brazilian school of probability, Mambucaba, Brazil, August 14-19, 2000. Boston: Birkhäuser. Prog. Probab. 51, 299-307 (2002). Reviewer: L.L.Ramos (São Paulo) MSC: 60K35 PDFBibTeX XMLCite \textit{A. E. Holroyd}, Prog. Probab. 51, 299--307 (2002; Zbl 1011.60089)
Holroyd, Alexander E. Rigidity percolation and boundary conditions. (English) Zbl 1062.60098 Ann. Appl. Probab. 11, No. 4, 1063-1078 (2001). Reviewer: Ostap Hryniv (Durham) MSC: 60K35 52C25 82B43 PDFBibTeX XMLCite \textit{A. E. Holroyd}, Ann. Appl. Probab. 11, No. 4, 1063--1078 (2001; Zbl 1062.60098) Full Text: DOI
Holroyd, Alexander E.; Liggett, Thomas M. How to find an extra head: Optimal random shifts of Bernoulli and Poisson random fields. (English) Zbl 1019.60048 Ann. Probab. 29, No. 4, 1405-1425 (2001). Reviewer: M.I.Yadrenko (Kyïv) MSC: 60G60 60G55 60K35 PDFBibTeX XMLCite \textit{A. E. Holroyd} and \textit{T. M. Liggett}, Ann. Probab. 29, No. 4, 1405--1425 (2001; Zbl 1019.60048)
Grimmett, Geoffrey R.; Holroyd, Alexander E. Entanglement in percolation. (English) Zbl 1026.60109 Proc. Lond. Math. Soc., III. Ser. 81, No. 2, 485-512 (2000). Reviewer: Utkir Rozikov (Tashkent) MSC: 60K35 82B41 05C10 82B43 82D60 PDFBibTeX XMLCite \textit{G. R. Grimmett} and \textit{A. E. Holroyd}, Proc. Lond. Math. Soc. (3) 81, No. 2, 485--512 (2000; Zbl 1026.60109) Full Text: DOI
Holroyd, Alexander E. Existence of a phase transition for entanglement percolation. (English) Zbl 0963.60099 Math. Proc. Camb. Philos. Soc. 129, No. 2, 231-251 (2000). MSC: 60K35 57M25 82B43 PDFBibTeX XMLCite \textit{A. E. Holroyd}, Math. Proc. Camb. Philos. Soc. 129, No. 2, 231--251 (2000; Zbl 0963.60099) Full Text: DOI
Holroyd, Alexander E. Existence and uniqueness of infinite components in generic rigidity percolation. (English) Zbl 0932.60093 Ann. Appl. Probab. 8, No. 3, 944-973 (1998). MSC: 60K35 82B43 05C10 PDFBibTeX XMLCite \textit{A. E. Holroyd}, Ann. Appl. Probab. 8, No. 3, 944--973 (1998; Zbl 0932.60093) Full Text: DOI