Preface |
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xi | |
Conventions |
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xiv | |
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1 | (11) |
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1 | (3) |
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1.2 Single-species annihilation/coalescence |
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4 | (5) |
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1.3 Two-species annihilation |
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9 | (1) |
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10 | (2) |
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12 | (47) |
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2.1 The probability distribution |
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12 | (3) |
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2.2 Central limit theorem |
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15 | (2) |
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2.3 Walks with broad distributions |
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17 | (5) |
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2.4 Application to gravity: the Holtsmark distribution |
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22 | (4) |
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2.5 First-passage properties |
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26 | (4) |
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2.6 Exit probabilities and exit times |
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30 | (7) |
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37 | (3) |
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2.8 The Langevin approach |
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40 | (4) |
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2.9 Application to surface growth |
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44 | (7) |
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51 | (1) |
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51 | (8) |
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59 | (44) |
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59 | (1) |
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60 | (10) |
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3.3 Lorentz gas in an external field |
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70 | (5) |
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75 | (2) |
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3.5 Maxwell molecules and very hard particles |
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77 | (4) |
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81 | (8) |
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3.7 Ballistic agglomeration |
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89 | (3) |
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92 | (4) |
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96 | (1) |
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97 | (6) |
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103 | (31) |
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4.1 Symmetric exclusion process |
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103 | (5) |
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4.2 Asymmetric exclusion process |
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108 | (4) |
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4.3 Hydrodynamic approach |
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112 | (6) |
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118 | (5) |
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123 | (7) |
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130 | (1) |
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131 | (3) |
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134 | (38) |
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134 | (3) |
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5.2 Exact solution methods |
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137 | (8) |
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145 | (8) |
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153 | (3) |
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5.5 Aggregation with input |
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156 | (7) |
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5.6 Exchange-driven growth |
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163 | (4) |
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167 | (1) |
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168 | (4) |
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172 | (27) |
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172 | (8) |
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180 | (5) |
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6.3 Reversible polymerization |
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185 | (6) |
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6.4 Collisional fragmentation |
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191 | (4) |
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195 | (1) |
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195 | (4) |
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199 | (34) |
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7.1 Random sequential adsorption in one dimension |
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199 | (7) |
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7.2 Phase space structure |
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206 | (7) |
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7.3 Adsorption in higher dimensions |
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213 | (7) |
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7.4 Reversible adsorption |
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220 | (6) |
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7.5 Polymer translocation |
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226 | (3) |
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229 | (1) |
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230 | (3) |
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233 | (44) |
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8.1 Phenomenology of coarsening |
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233 | (2) |
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235 | (9) |
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244 | (3) |
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8.4 Mean-field approximation |
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247 | (2) |
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8.5 Glauber dynamics in one dimension |
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249 | (9) |
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8.6 Glauber dynamics in higher dimensions |
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258 | (6) |
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8.7 Spin-exchange dynamics |
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264 | (5) |
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269 | (4) |
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273 | (1) |
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274 | (3) |
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277 | (45) |
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277 | (3) |
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280 | (3) |
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9.3 Case studies in non-conservative dynamics |
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283 | (9) |
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292 | (2) |
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294 | (8) |
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9.6 Conservative dynamics |
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302 | (5) |
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307 | (5) |
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9.8 Nucleation and growth |
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312 | (5) |
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317 | (1) |
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318 | (4) |
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322 | (24) |
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10.1 Disordered spin chain |
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322 | (9) |
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10.2 Random walk in a random potential |
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331 | (8) |
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10.3 Random walk in random velocity fields |
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339 | (4) |
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343 | (1) |
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344 | (2) |
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346 | (27) |
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11.1 Homogeneous ferromagnets |
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346 | (3) |
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11.2 Perturbation analysis |
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349 | (8) |
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11.3 Disordered ferromagnets |
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357 | (4) |
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361 | (5) |
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11.5 Hysteresis in the random-field Ising chain |
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366 | (4) |
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370 | (1) |
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370 | (3) |
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373 | (31) |
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12.1 Continuum formulation |
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373 | (9) |
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382 | (9) |
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12.3 Small-fluctuation expansion |
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391 | (3) |
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394 | (5) |
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399 | (1) |
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400 | (4) |
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404 | (37) |
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13.1 Role of the spatial dimension |
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404 | (5) |
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13.2 The trapping reaction |
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409 | (5) |
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13.3 Two-species annihilation |
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414 | (3) |
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13.4 Single-species reactions in one dimension |
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417 | (11) |
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13.5 Reactions in spatial gradients |
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428 | (8) |
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436 | (1) |
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437 | (4) |
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441 | (30) |
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14.1 Non-lattice networks |
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441 | (2) |
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14.2 Evolving random graphs |
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443 | (8) |
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14.3 Random recursive trees |
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451 | (5) |
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14.4 Preferential attachment |
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456 | (4) |
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14.5 Fluctuations in networks |
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460 | (5) |
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465 | (1) |
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466 | (5) |
References |
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471 | (12) |
Index |
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483 | |