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Physics reports, ISSN 0370-1573, 2015, Volume 578, pp. 1 - 32
Journal Article
Journal of graph theory, ISSN 1097-0118, 2019, Volume 94, Issue 2, pp. 252 - 266
Bootstrap percolation is a deterministic cellular automaton in which vertices of a graph G begin in one of two states, “dormant” or “active... 
ore condition | bootstrap percolation | chvàtal condition | MATHEMATICS | chvatal condition | CONTAGIOUS SETS
Journal Article
Physical Review Letters, ISSN 0031-9007, 10/2011, Volume 107, Issue 17, p. 175703
k-core percolation is an extension of the concept of classical percolation and is particularly relevant to understanding the resilience of complex networks under random damage... 
EXPLOSIVE PERCOLATION | PHYSICS, MULTIDISCIPLINARY | COMPLEX NETWORKS | LATTICE | BOOTSTRAP PERCOLATION
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 05/2012, Volume 364, Issue 5, pp. 2667 - 2701
In r-neighbour bootstrap percolation on a graph G, a (typically random) set A of initially 'infected' vertices spreads by infecting (at each time step... 
Mathematical sets | Cardinality | Rectangles | Ising model | Mathematics | Grants | Cellular automata | Vertices | Induction assumption | Metastability | MATHEMATICS | TREES | MODELS | Bootstrap percolation | BEHAVIOR | GROWTH | sharp threshold | METASTABILITY THRESHOLD
Journal Article
The Annals of probability, ISSN 0091-1798, 7/2009, Volume 37, Issue 4, pp. 1329 - 1380
Journal Article
The Annals of probability, ISSN 0091-1798, 3/2016, Volume 44, Issue 2, pp. 1599 - 1599
We provide an Erratum, correcting how our main result generalises and correct some steps in the proof. 
metastability | sharp threshold | Bootstrap percolation | anisotropy | Sharp threshold | Anisotropy | Metastability | 83C43 | 83B43 | 60K35
Journal Article
The Annals of applied probability, ISSN 1050-5164, 10/2012, Volume 22, Issue 5, pp. 1989 - 2047
Journal Article
Random Structures & Algorithms, ISSN 1042-9832, 12/2018, Volume 53, Issue 4, pp. 638 - 651
Journal Article
Probability Theory and Related Fields, ISSN 0178-8051, 10/2019, Volume 175, Issue 1, pp. 467 - 486
Journal Article
Scientific Reports, ISSN 2045-2322, 07/2015, Volume 5, Issue 1, p. 11905
Percolation is a paradigmatic model in disordered systems and has been applied to various natural phenomena... 
MULTIDISCIPLINARY SCIENCES | EXPLOSIVE PERCOLATION | BOOTSTRAP PERCOLATION | Phase transitions | Size distribution | Physics - Statistical Mechanics
Journal Article
The Annals of applied probability, ISSN 1050-5164, 2/2015, Volume 25, Issue 1, pp. 287 - 323
.... Bootstrap percolation with threshold θ starts with a random set of open vertices, to which every vertex belongs independently with probability p, and at each time step the open set grows by adjoining every vertex with at least θ open neighbors... 
Poisson convergence | Critical exponent | Hamming torus | Bootstrap percolation | GRAPH | DIMENSIONS | CELLULAR-AUTOMATA | critical exponent | STATISTICS & PROBABILITY | SHARP THRESHOLD | HYPERCUBE | RANDOM SUBGRAPHS | Mathematics - Probability | 60K35
Journal Article
Stochastic Processes and their Applications, ISSN 0304-4149, 01/2016, Volume 126, Issue 1, pp. 234 - 264
On a geometric model for complex networks (introduced by Krioukov et al.) we investigate the bootstrap percolation process... 
Random geometric graph | Hyperbolic plane | Percolation | Bootstrap percolation | STATISTICS & PROBABILITY | EMERGENCE
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 08/2008, Volume 78, Issue 2, p. 022101
The k-core percolation on the Bethe lattice has been proposed as a simple model of the jamming transition because of its hybrid first-order-second-order nature, We investigate numerically k-core... 
BICONNECTEDNESS | UNIVERSALITY | CELLULAR-AUTOMATA | THRESHOLD | PHYSICS, FLUIDS & PLASMAS | BEHAVIOR | SYSTEMS | BETHE LATTICE | PHYSICS, MATHEMATICAL | 2-DIMENSIONAL BOOTSTRAP PERCOLATION | Physics - Disordered Systems and Neural Networks
Journal Article
The Annals of probability, ISSN 0091-1798, 7/2015, Volume 43, Issue 4, pp. 1731 - 1776
We rigorously prove a form of disorder-resistance for a class of one-dimensional cellular automaton rules, including some that arise as boundary dynamics of... 
Additivity | Percolation | Cellular automaton | Quasireplicator | Ether | Replicator | DEPENDENT PERCOLATION | ether | SNOWFLAKES | STATISTICS & PROBABILITY | quasireplicator | SEEDS | DIMENSIONS | THRESHOLD | percolation | REPLICATION | BOOTSTRAP PERCOLATION | replicator | cellular automaton | 37B15 | 60K35
Journal Article
ACM Transactions on Knowledge Discovery from Data (TKDD), ISSN 1556-4681, 03/2018, Volume 12, Issue 2, pp. 1 - 39
.... Indeed, by exploiting a sufficiently large set of seed nodes, a percolation process can correctly match almost all nodes across the different social networks... 
bootstrap percolation | de-anonymization | Graph matching | Bootstrap percolation | De-anonymization | COMPUTER SCIENCE, SOFTWARE ENGINEERING | COMPUTER SCIENCE, INFORMATION SYSTEMS | ALGORITHM
Journal Article
Random Structures & Algorithms, ISSN 1042-9832, 07/2018, Volume 52, Issue 4, pp. 597 - 616
Journal Article
Physical Review B - Condensed Matter and Materials Physics, ISSN 1098-0121, 08/2012, Volume 86, Issue 6
Quantum k-core percolation is the study of quantum transport on k-core percolation clusters where each occupied bond must have at least k occupied neighboring bonds... 
UNIVERSALITY | PHYSICS, CONDENSED MATTER | METAL-INSULATOR-TRANSITION | PHYSICS, APPLIED | SUDDEN EMERGENCE | BOOTSTRAP | MATERIALS SCIENCE, MULTIDISCIPLINARY | DIFFUSION | MODEL | Physics - Disordered Systems and Neural Networks
Journal Article