Janko Gravner - Publications

Affiliations: 
Applied Mathematics University of California, Davis, Davis, CA 
Area:
Applied Mathematics, Mathematics, Evolution and Development Biology

33 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 Gravner J, Paguyo JE, Slivken E. Maximal spanning time for neighborhood growth on the Hamming plane Siam Journal On Discrete Mathematics. 33: 976-993. DOI: 10.1137/17M1153807  0.373
2019 Gravner J, Holroyd AE. Polluted bootstrap percolation with threshold two in all dimensions Probability Theory and Related Fields. 175: 467-486. DOI: 10.1007/S00440-018-0892-3  0.336
2017 Gravner J, Sivakoff D, Slivken E. Neighborhood Growth Dynamics on the Hamming Plane Electronic Journal of Combinatorics. 24: 4-29. DOI: 10.37236/6400  0.375
2017 Gravner J, Sivakoff D. Bootstrap percolation on products of cycles and complete graphs Electronic Journal of Probability. 22. DOI: 10.1214/17-Ejp43  0.348
2017 Gravner J, Sivakoff D. Nucleation scaling in jigsaw percolation Annals of Applied Probability. 27: 395-438. DOI: 10.1214/16-Aap1206  0.4
2016 Baetens JM, Gravner J. Stability of Cellular Automata Trajectories Revisited: Branching Walks and Lyapunov Profiles Journal of Nonlinear Science. 1-39. DOI: 10.1007/S00332-016-9307-8  0.341
2015 Gravner J, Holroyd AE. Percolation and disorder-resistance in cellular automata Annals of Probability. 43: 1731-1776. DOI: 10.1214/14-Aop918  0.378
2015 Gravner J, Hoffman C, Pfeiffer J, Sivakoff D. Bootstrap percolation on the hamming torus Annals of Applied Probability. 25: 287-323. DOI: 10.1214/13-Aap996  0.35
2012 Gravner J, Holroyd AE, Morris R. A sharper threshold for bootstrap percolation in two dimensions Probability Theory and Related Fields. 153: 1-23. DOI: 10.1007/S00440-010-0338-Z  0.307
2011 Gravner J, Griffeath D. The One-Dimensional Exactly 1 Cellular Automaton: Replication, Periodicity, and Chaos from Finite Seeds Journal of Statistical Physics. 142: 168-200. DOI: 10.1007/S10955-010-0103-9  0.344
2009 Gravner J, Griffeath D. Modeling snow-crystal growth: a three-dimensional mesoscopic approach. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 79: 011601. PMID 19257039 DOI: 10.1103/Physreve.79.011601  0.346
2009 Gravner J, Holroyd AE. Local Bootstrap Percolation Electronic Journal of Probability. 14: 385-399. DOI: 10.1214/Ejp.V14-607  0.316
2009 Gravner J, Griffeath D. Asymptotic densities for Packard Box rules Nonlinearity. 22: 1817-1846. DOI: 10.1088/0951-7715/22/8/003  0.343
2008 Gravner J, Griffeath D. Modeling snow crystal growth II: A mesoscopic lattice map with plausible dynamics Physica D: Nonlinear Phenomena. 237: 385-404. DOI: 10.1016/J.Physd.2007.09.008  0.352
2007 Gravner J, Pitman D, Gavrilets S. Percolation on fitness landscapes: effects of correlation, phenotype, and incompatibilities. Journal of Theoretical Biology. 248: 627-45. PMID 17692873 DOI: 10.1016/J.Jtbi.2007.07.009  0.56
2006 Gravner J, Griffeath D. Random growth models with polygonal shapes Annals of Probability. 34: 181-218. DOI: 10.1214/009117905000000512  0.385
2006 Gravner J, Griffeath D. Modeling snow crystal growth I: Rigorous results for Packard's digital snowflakes Experimental Mathematics. 15: 421-444. DOI: 10.1080/10586458.2006.10128978  0.41
2002 Gravner J, Tracy CA, Widom H. A growth model in a random environment Annals of Probability. 30: 1340-1368. DOI: 10.1214/Aop/1029867130  0.403
2001 Gravner J, Tracy CA, Widom H. Limit theorems for height fluctuations in a class of discrete space and time growth models Journal of Statistical Physics. 102: 1085-1132. DOI: 10.1023/A:1004879725949  0.38
2000 Gravner J, Quastel J. Internal DLA and the Stefan problem Annals of Probability. 28: 1528-1562. DOI: 10.1214/Aop/1019160497  0.335
1999 Gravner J. Recurrent ring dynamics in two-dimensional excitable cellular automata Journal of Applied Probability. 36: 492-511. DOI: 10.1239/Jap/1032374467  0.348
1999 Bohman T, Gravner J. Random threshold growth dynamics Random Structures and Algorithms. 15: 93-111. DOI: 10.1002/(Sici)1098-2418(199908)15:1<93::Aid-Rsa4>3.0.Co;2-K  0.41
1998 Gravner J, Griffeath D. Cellular Automaton Growth on Z2: Theorems, Examples, and Problems Advances in Applied Mathematics. 21: 241-304. DOI: 10.1006/Aama.1998.0599  0.359
1997 Gavrilets S, Gravner J. Percolation on the fitness hypercube and the evolution of reproductive isolation. Journal of Theoretical Biology. 184: 51-64. PMID 9039400 DOI: 10.1006/Jtbi.1996.0242  0.414
1997 Gravner J, Griffeath D. Nucleation parameters for discrete threshold growth on {$\bold Z\sp 2$} Experimental Mathematics. 6: 207-220. DOI: 10.1080/10586458.1997.10504610  0.364
1997 Gravner J, McDonald E. Bootstrap percolation in a polluted environment Journal of Statistical Physics. 87: 915-927. DOI: 10.1007/Bf02181252  0.316
1996 Gravner J. Percolation times in two-dimensional models for excitable media Electronic Journal of Probability. 1: 1-19. DOI: 10.1214/Ejp.V1-12  0.354
1996 Gravner J, Griffeath D. First passage times for threshold growth dynamics on ${\bf Z}\sp 2$ Annals of Probability. 24: 1752-1778. DOI: 10.1214/Aop/1041903205  0.4
1996 Gravner J. Cellular automata models of ring dynamics International Journal of Modern Physics C. 7: 863-871. DOI: 10.1142/S0129183196000715  0.341
1996 Gravner J. The boundary of iterates in euclidean growth models Transactions of the American Mathematical Society. 348: 4549-4559. DOI: 10.1090/S0002-9947-96-01697-2  0.338
1993 Fisch R, Gravner J, Griffeath D. Metastability in the Greenberg-Hastings Model Annals of Applied Probability. 3: 935-967. DOI: 10.1214/Aoap/1177005268  0.316
1993 Gravner J, Griffeath D. Threshold growth dynamics Transactions of the American Mathematical Society. 340: 837-870. DOI: 10.1090/S0002-9947-1993-1147400-3  0.381
1991 Fisch R, Gravner J, Griffeath D. Threshold-range scaling of excitable cellular automata Statistics and Computing. 1: 23-39. DOI: 10.1007/Bf01890834  0.355
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