The time of bootstrap percolation in two dimensions

Abstract We study the distribution of the percolation time T of 2-neighbour bootstrap percolation on %$[n]^2%$ with initial set %$A\sim {\text {Bin}}([n]^2,p)%$. We determine T up to a constant factor with high probability for all p above the critical probability for percolation, and to within a %$1...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Balister, Paul [verfasserIn] Bollobás, Béla Smith, Paul

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2015

Schlagwörter:	Bootstrap percolation Concentration of measure

Anmerkung:	© Springer-Verlag Berlin Heidelberg 2015

Übergeordnetes Werk:	Enthalten in: Probability theory and related fields - Berlin : Springer, 1992, 166(2015), 1-2 vom: 08. Sept., Seite 321-364
Übergeordnetes Werk:	volume:166 ; year:2015 ; number:1-2 ; day:08 ; month:09 ; pages:321-364

Links:	Volltext

DOI / URN:	10.1007/s00440-015-0657-1

Katalog-ID:	SPR006006671

Internformat


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520			\|a Abstract We study the distribution of the percolation time T of 2-neighbour bootstrap percolation on %$[n]^2%$ with initial set %$A\sim {\text {Bin}}([n]^2,p)%$. We determine T up to a constant factor with high probability for all p above the critical probability for percolation, and to within a %$1+o(1)%$ factor for a large range of p.
650		4	\|a Bootstrap percolation \|7 (dpeaa)DE-He213
650		4	\|a Concentration of measure \|7 (dpeaa)DE-He213
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700	1		\|a Smith, Paul \|4 aut
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912			\|a GBV_ILN_171
912			\|a GBV_ILN_187
912			\|a GBV_ILN_206
912			\|a GBV_ILN_213
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912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
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912			\|a GBV_ILN_702
912			\|a GBV_ILN_2001
912			\|a GBV_ILN_2003
912			\|a GBV_ILN_2004
912			\|a GBV_ILN_2005
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912			\|a GBV_ILN_2007
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912			\|a GBV_ILN_2011
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912			\|a GBV_ILN_2025
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912			\|a GBV_ILN_2027
912			\|a GBV_ILN_2031
912			\|a GBV_ILN_2034
912			\|a GBV_ILN_2037
912			\|a GBV_ILN_2038
912			\|a GBV_ILN_2039
912			\|a GBV_ILN_2044
912			\|a GBV_ILN_2048
912			\|a GBV_ILN_2049
912			\|a GBV_ILN_2050
912			\|a GBV_ILN_2055
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912			\|a GBV_ILN_2232
912			\|a GBV_ILN_2336
912			\|a GBV_ILN_2446
912			\|a GBV_ILN_2470
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912			\|a GBV_ILN_2548
912			\|a GBV_ILN_4012
912			\|a GBV_ILN_4035
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912			\|a GBV_ILN_4046
912			\|a GBV_ILN_4112
912			\|a GBV_ILN_4125
912			\|a GBV_ILN_4126
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publishDate	2015
allfields	10.1007/s00440-015-0657-1 doi (DE-627)SPR006006671 (SPR)s00440-015-0657-1-e DE-627 ger DE-627 rakwb eng Balister, Paul verfasserin aut The time of bootstrap percolation in two dimensions 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag Berlin Heidelberg 2015 Abstract We study the distribution of the percolation time T of 2-neighbour bootstrap percolation on %$[n]^2%$ with initial set %$A\sim {\text {Bin}}([n]^2,p)%$. We determine T up to a constant factor with high probability for all p above the critical probability for percolation, and to within a %$1+o(1)%$ factor for a large range of p. Bootstrap percolation (dpeaa)DE-He213 Concentration of measure (dpeaa)DE-He213 Bollobás, Béla aut Smith, Paul aut Enthalten in Probability theory and related fields Berlin : Springer, 1992 166(2015), 1-2 vom: 08. Sept., Seite 321-364 (DE-627)254638791 (DE-600)1462994-X 1432-2064 nnns volume:166 year:2015 number:1-2 day:08 month:09 pages:321-364 https://dx.doi.org/10.1007/s00440-015-0657-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 166 2015 1-2 08 09 321-364
spelling	10.1007/s00440-015-0657-1 doi (DE-627)SPR006006671 (SPR)s00440-015-0657-1-e DE-627 ger DE-627 rakwb eng Balister, Paul verfasserin aut The time of bootstrap percolation in two dimensions 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag Berlin Heidelberg 2015 Abstract We study the distribution of the percolation time T of 2-neighbour bootstrap percolation on %$[n]^2%$ with initial set %$A\sim {\text {Bin}}([n]^2,p)%$. We determine T up to a constant factor with high probability for all p above the critical probability for percolation, and to within a %$1+o(1)%$ factor for a large range of p. Bootstrap percolation (dpeaa)DE-He213 Concentration of measure (dpeaa)DE-He213 Bollobás, Béla aut Smith, Paul aut Enthalten in Probability theory and related fields Berlin : Springer, 1992 166(2015), 1-2 vom: 08. Sept., Seite 321-364 (DE-627)254638791 (DE-600)1462994-X 1432-2064 nnns volume:166 year:2015 number:1-2 day:08 month:09 pages:321-364 https://dx.doi.org/10.1007/s00440-015-0657-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 166 2015 1-2 08 09 321-364
allfields_unstemmed	10.1007/s00440-015-0657-1 doi (DE-627)SPR006006671 (SPR)s00440-015-0657-1-e DE-627 ger DE-627 rakwb eng Balister, Paul verfasserin aut The time of bootstrap percolation in two dimensions 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag Berlin Heidelberg 2015 Abstract We study the distribution of the percolation time T of 2-neighbour bootstrap percolation on %$[n]^2%$ with initial set %$A\sim {\text {Bin}}([n]^2,p)%$. We determine T up to a constant factor with high probability for all p above the critical probability for percolation, and to within a %$1+o(1)%$ factor for a large range of p. Bootstrap percolation (dpeaa)DE-He213 Concentration of measure (dpeaa)DE-He213 Bollobás, Béla aut Smith, Paul aut Enthalten in Probability theory and related fields Berlin : Springer, 1992 166(2015), 1-2 vom: 08. Sept., Seite 321-364 (DE-627)254638791 (DE-600)1462994-X 1432-2064 nnns volume:166 year:2015 number:1-2 day:08 month:09 pages:321-364 https://dx.doi.org/10.1007/s00440-015-0657-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 166 2015 1-2 08 09 321-364
allfieldsGer	10.1007/s00440-015-0657-1 doi (DE-627)SPR006006671 (SPR)s00440-015-0657-1-e DE-627 ger DE-627 rakwb eng Balister, Paul verfasserin aut The time of bootstrap percolation in two dimensions 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag Berlin Heidelberg 2015 Abstract We study the distribution of the percolation time T of 2-neighbour bootstrap percolation on %$[n]^2%$ with initial set %$A\sim {\text {Bin}}([n]^2,p)%$. We determine T up to a constant factor with high probability for all p above the critical probability for percolation, and to within a %$1+o(1)%$ factor for a large range of p. Bootstrap percolation (dpeaa)DE-He213 Concentration of measure (dpeaa)DE-He213 Bollobás, Béla aut Smith, Paul aut Enthalten in Probability theory and related fields Berlin : Springer, 1992 166(2015), 1-2 vom: 08. Sept., Seite 321-364 (DE-627)254638791 (DE-600)1462994-X 1432-2064 nnns volume:166 year:2015 number:1-2 day:08 month:09 pages:321-364 https://dx.doi.org/10.1007/s00440-015-0657-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 166 2015 1-2 08 09 321-364
allfieldsSound	10.1007/s00440-015-0657-1 doi (DE-627)SPR006006671 (SPR)s00440-015-0657-1-e DE-627 ger DE-627 rakwb eng Balister, Paul verfasserin aut The time of bootstrap percolation in two dimensions 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag Berlin Heidelberg 2015 Abstract We study the distribution of the percolation time T of 2-neighbour bootstrap percolation on %$[n]^2%$ with initial set %$A\sim {\text {Bin}}([n]^2,p)%$. We determine T up to a constant factor with high probability for all p above the critical probability for percolation, and to within a %$1+o(1)%$ factor for a large range of p. Bootstrap percolation (dpeaa)DE-He213 Concentration of measure (dpeaa)DE-He213 Bollobás, Béla aut Smith, Paul aut Enthalten in Probability theory and related fields Berlin : Springer, 1992 166(2015), 1-2 vom: 08. Sept., Seite 321-364 (DE-627)254638791 (DE-600)1462994-X 1432-2064 nnns volume:166 year:2015 number:1-2 day:08 month:09 pages:321-364 https://dx.doi.org/10.1007/s00440-015-0657-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 166 2015 1-2 08 09 321-364
language	English
source	Enthalten in Probability theory and related fields 166(2015), 1-2 vom: 08. Sept., Seite 321-364 volume:166 year:2015 number:1-2 day:08 month:09 pages:321-364
sourceStr	Enthalten in Probability theory and related fields 166(2015), 1-2 vom: 08. Sept., Seite 321-364 volume:166 year:2015 number:1-2 day:08 month:09 pages:321-364
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Bootstrap percolation Concentration of measure
isfreeaccess_bool	false
container_title	Probability theory and related fields
authorswithroles_txt_mv	Balister, Paul @@aut@@ Bollobás, Béla @@aut@@ Smith, Paul @@aut@@
publishDateDaySort_date	2015-09-08T00:00:00Z
hierarchy_top_id	254638791
id	SPR006006671
language_de	englisch
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author	Balister, Paul
spellingShingle	Balister, Paul misc Bootstrap percolation misc Concentration of measure The time of bootstrap percolation in two dimensions
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topic_title	The time of bootstrap percolation in two dimensions Bootstrap percolation (dpeaa)DE-He213 Concentration of measure (dpeaa)DE-He213
topic	misc Bootstrap percolation misc Concentration of measure
topic_unstemmed	misc Bootstrap percolation misc Concentration of measure
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title	The time of bootstrap percolation in two dimensions
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title_full	The time of bootstrap percolation in two dimensions
author_sort	Balister, Paul
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author_browse	Balister, Paul Bollobás, Béla Smith, Paul
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author-letter	Balister, Paul
doi_str_mv	10.1007/s00440-015-0657-1
title_sort	time of bootstrap percolation in two dimensions
title_auth	The time of bootstrap percolation in two dimensions
abstract	Abstract We study the distribution of the percolation time T of 2-neighbour bootstrap percolation on %$[n]^2%$ with initial set %$A\sim {\text {Bin}}([n]^2,p)%$. We determine T up to a constant factor with high probability for all p above the critical probability for percolation, and to within a %$1+o(1)%$ factor for a large range of p. © Springer-Verlag Berlin Heidelberg 2015
abstractGer	Abstract We study the distribution of the percolation time T of 2-neighbour bootstrap percolation on %$[n]^2%$ with initial set %$A\sim {\text {Bin}}([n]^2,p)%$. We determine T up to a constant factor with high probability for all p above the critical probability for percolation, and to within a %$1+o(1)%$ factor for a large range of p. © Springer-Verlag Berlin Heidelberg 2015
abstract_unstemmed	Abstract We study the distribution of the percolation time T of 2-neighbour bootstrap percolation on %$[n]^2%$ with initial set %$A\sim {\text {Bin}}([n]^2,p)%$. We determine T up to a constant factor with high probability for all p above the critical probability for percolation, and to within a %$1+o(1)%$ factor for a large range of p. © Springer-Verlag Berlin Heidelberg 2015
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title_short	The time of bootstrap percolation in two dimensions
url	https://dx.doi.org/10.1007/s00440-015-0657-1
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author2	Bollobás, Béla Smith, Paul
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The time of bootstrap percolation in two dimensions

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