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Lionel T. Levine, Ph.D. - Publications

Affiliations: 
2007 University of California, Berkeley, Berkeley, CA, United States 
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27 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2019 Jerison DC, Levine L, Pike J. Mixing time and eigenvalues of the abelian sandpile Markov chain Transactions of the American Mathematical Society. 372: 8307-8345. DOI: 10.1090/Tran/7585  0.364
2019 Holroyd AE, Levine L, Winkler P. Abelian Logic Gates Combinatorics, Probability & Computing. 28: 388-422. DOI: 10.1017/S0963548318000482  0.324
2019 Levine L, Silvestri V. How long does it take for Internal DLA to forget its initial profile Probability Theory and Related Fields. 174: 1219-1271. DOI: 10.1007/S00440-018-0880-7  0.37
2019 Hough RD, Jerison DC, Levine L. Sandpiles on the Square Lattice Communications in Mathematical Physics. 367: 33-87. DOI: 10.1007/S00220-019-03408-5  0.316
2017 Levine L, Peres Y. Laplacian growth, sandpiles, and scaling limits Bulletin of the American Mathematical Society. 54: 355-382. DOI: 10.1090/Bull/1573  0.456
2016 Florescu L, Levine L, Peres Y. The range of a rotor walk American Mathematical Monthly. 123: 627-642. DOI: 10.4169/Amer.Math.Monthly.123.7.627  0.563
2016 Farrell M, Levine L. Multi-Eulerian Tours of Directed Graphs Electronic Journal of Combinatorics. 23: 2-21. DOI: 10.37236/5588  0.349
2016 Ganguly S, Levine L, Peres Y, Propp J. Formation of an interface by competitive erosion Probability Theory and Related Fields. 1-55. DOI: 10.1007/S00440-016-0715-3  0.54
2016 Levine L, Pegden W, Smart CK. Apollonian structure in the Abelian sandpile Geometric and Functional Analysis. 1-31. DOI: 10.1007/S00039-016-0358-7  0.348
2015 Levine L. Threshold State and a Conjecture of Poghosyan, Poghosyan, Priezzhev and Ruelle Communications in Mathematical Physics. 335: 1003-1017. DOI: 10.1007/S00220-014-2216-5  0.303
2015 Levine L, Murugan M, Peres Y, Ugurcan BE. The Divisible Sandpile at Critical Density Annales Henri Poincare. DOI: 10.1007/S00023-015-0433-X  0.515
2014 Jerison D, Levine L, Sheffield S. Internal dla and the gaussian free field Duke Mathematical Journal. 163: 267-308. DOI: 10.1215/00127094-2430259  0.326
2014 Florescu L, Ganguly S, Levine L, Peres Y. Escape rates for rotor walks in ℤd Siam Journal On Discrete Mathematics. 28: 323-334. DOI: 10.1137/130908646  0.525
2014 Levine L, Peres Y. The looping constant of ℤd Random Structures and Algorithms. 45: 1-13. DOI: 10.1002/Rsa.20478  0.522
2013 Friedrich T, Levine L. Fast simulation of large-scale growth models Random Structures and Algorithms. 42: 185-213. DOI: 10.1002/Rsa.20412  0.334
2012 Giacaglia GP, Levine L, Propp J, Zayas-Palmer L. Local-to-Global Principles for the Hitting Sequence of a Rotor Walk Electronic Journal of Combinatorics. 19: 5. DOI: 10.37236/12  0.321
2012 Jerison DS, Levine L, Sheffield SR. Logarithmic fluctuations for internal DLA Journal of the American Mathematical Society. 25: 271-301. DOI: 10.1090/S0894-0347-2011-00716-9  0.315
2011 Levine L. Parallel chip-firing on the complete graph: Devil's staircase and Poincaré rotation number Ergodic Theory and Dynamical Systems. 31: 891-910. DOI: 10.1017/S0143385710000088  0.328
2011 Levine L. Sandpile groups and spanning trees of directed line graphs Journal of Combinatorial Theory, Series A. 118: 350-364. DOI: 10.1016/J.Jcta.2010.04.001  0.337
2010 Fey A, Levine L, Wilson DB. Approach to criticality in sandpiles. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 82: 031121. PMID 21230039 DOI: 10.1103/Physreve.82.031121  0.358
2010 Kager W, Levine L. Rotor-router aggregation on the layered square lattice Electronic Journal of Combinatorics. 17: 152. DOI: 10.37236/424  0.317
2010 Levine L, Peres Y. Scaling limits for internal aggregation models with multiple sources Journal D'Analyse Mathematique. 111: 151-219. DOI: 10.1007/S11854-010-0015-2  0.533
2010 Fey A, Levine L, Peres Y. Growth rates and explosions in sandpiles Journal of Statistical Physics. 138: 143-159. DOI: 10.1007/S10955-009-9899-6  0.531
2009 Landau I, Levine L. The rotor--router model on regular trees Journal of Combinatorial Theory, Series A. 116: 421-433. DOI: 10.1016/J.Jcta.2008.05.012  0.382
2009 Levine L, Peres Y. Strong spherical asymptotics for rotor-router aggregation and the divisible sandpile Potential Analysis. 30: 1-27. DOI: 10.1007/S11118-008-9104-6  0.538
2008 Levine L, Peres Y. Spherical asymptotics for the rotor-router model in ℤd Indiana University Mathematics Journal. 57: 431-449. DOI: 10.1512/Iumj.2008.57.3022  0.524
2005 Levine L, Peres Y. The rotor-router shape is spherical Mathematical Intelligencer. 27: 9-11. DOI: 10.1007/Bf02985833  0.456
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