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1 works, and emerges because of the asymmetric percolation.
2 l set of influencers in networks via optimal percolation.
3 static threshold due to deformation-assisted percolation.
4 hould guard against deformation-driven fluid percolation.
5 , and support an extended picture of network percolation.
6 obustness by extending the deduction in core percolation.
7 he network size can indeed exhibit explosive percolation.
8 rithm is utilized to investigate the network percolation.
9 heightened by the CNT network's proximity to percolation.
10 ent through a process analogous to explosive percolation.
11 s to reside in isolated pockets that prevent percolation.
12 water refreezes near the surface to restrict percolation(5,6).
13 re consistent with critical gelation through percolation, additional rheological and structural prope
14 ics, and rheology to describe ion and charge percolation, adsorption of ions, and redox charge storag
15 e ice core was a challenge because meltwater percolation also affects the traditionally used paramete
16                                   Electrical percolation also plays a significant role in producing t
17                 Through detailed fractal and percolation analyses of MG structures, derived from simu
18 d on the signed similarity, we carry out the percolation analysis on this signed unipartite network,
19     We relate these observations to directed percolation and argue that Re (1) marks the onset of inf
20                                Network-based percolation and chain-binomial simulations of susceptibl
21 kinetic or dynamic arrest, phase separation, percolation and jamming.
22  immediate-release because they resist fluid percolation and penetration.
23 ee different extraction methods (maceration, percolation and Soxhlet).
24  replica theory, cavity reconstruction, void percolation, and molecular dynamics, we obtain insights
25                      The synchronization and percolation are associated to abrupt transitions, and th
26 ith exponents -3/2 and -5/2 before and after percolation, as predicted by solutions to the master kin
27 m crack clusters or larger effective cracks, percolation at finite packing is expected when the shear
28 ption pattern can indeed result from network percolation; but this can sometimes be initiated by a lo
29 r the experimental observation of electrical percolation caused by continuous jackstraw-like physical
30 ersion efficiency is achieved by introducing percolation channels of large pores in the mesoporous Ti
31 s not random but metal ions cluster, forming percolation channels through a partly broken network of
32 onstrate that metal ions nano-segregate into percolation channels, making this a universal phenomenon
33 or modifying chain packing motifs to improve percolation charge transport; however achieving these pr
34             A specific class of fractal, the percolation cluster, explains the structural details for
35 percolation threshold and characteristics of percolation clusters formed by subsets of atoms, which c
36 d in batch assays and breakthrough curves in percolation column experiments.
37 elds could influence bacterial deposition in percolation columns.
38                                          The percolation concept will underpin the design of devices
39 pping equation are introduced to account for percolation, cross-hopping, and polaron-distribution, an
40  gel network in the cell must have a minimum percolation cutoff size exceeding 17.5 A and does not im
41 inal (1989) model of dopant-assisted quantum percolation (DAQP), as developed further in some two doz
42 s have recently called for an examination of percolation, diffusion or synchronization phenomena in m
43 rigorous lava-snow interaction via meltwater percolation down into the incandescent lava causing prod
44 ombination of size, charge distribution, and percolation effects.
45             In this work, we study explosive percolation (EP) in Barabasi-Albert (BA) network, in whi
46 g dry matter was extracted with solid-liquid percolation equipment using non-toxic and eco-friendly e
47  previously been shown to be associated with percolation errors.
48 e percolation threshold of the lattice (in a percolation experiment, each site of an initially empty
49                                              Percolation experiments are carried out for 103 single-c
50 e to the mantle, with subsequent upward melt percolation from the asthenosphere.
51                                              Percolation has always been regarded as a substrate-depe
52                                      Optimal percolation has received considerable attention in the c
53                      This is ascribed to the percolation hole hopping on the surface states.
54                            Although invasion percolation identifies the important impact of macro-por
55 hows a functional form indicative of spatial percolation, implying that the connectivity of TDM plays
56 sights into the onset of plasticity and void percolation in cytoskeleton.
57 rganized ways to control synchronization and percolation in natural and social systems.
58 e cannot have access to the other phase like percolation in one dimension.
59 nd develop a stochastic algorithm based upon percolation in random graphs to compute them.
60         Here we map the problem onto optimal percolation in random networks to identify the minimal s
61  provided us an analytical framework of core percolation in uncorrelated random networks with arbitra
62                                         Core percolation is a fundamental structural transition in co
63 ted for the plasma membrane, suggesting that percolation is not the factor controlling lateral diffus
64                        The pattern of stress percolation is related to the degree of heterogeneity in
65                                      Optimal percolation is the problem of finding the minimal set of
66                                   "Explosive percolation" is said to occur in an evolving network whe
67 e case for network liquids near the rigidity percolation, known to affect elasticity.
68 xtent of ion aggregation but does not impact percolation, leading to similar ionic conductivity regar
69                                 Close to the percolation limit this deformation is plastic similar to
70     At doping concentrations approaching the percolation limit, charge-transfer ferromagnetism can sw
71 ems: the leaching-out of the conductor and a percolation-limited membrane conductivity that results i
72 verage theories to compute sequence-specific percolation lines and thereby provide a thermodynamic fr
73                                        These percolation lithography techniques produced permanent ph
74 he idea that mitochondria are organized as a percolation matrix, with reactive oxygen species as a ke
75 trical changes were modelled, showing that a percolation mechanism could also explain atrial reentrie
76 static field-assisted carrier separation and percolation mechanism enables an unprecedented photocond
77     Overall, our results suggest a diffusive percolation mechanism for the initial events of HIV-1 en
78                    We propose a dynamic plex percolation method (DPPM) that is robust to edge noise,
79  in-house algorithm and a tailor-made Clique Percolation Method to extract linear and nonlinear KEGG
80 d with soymeal obtained by conventional cold percolation method utilising hexane as the extraction so
81 We then test two fluid-flow models: invasion percolation model and effective medium model.
82                   We furthermore find that a percolation model for the defects explains the defect si
83                                      The S-I percolation model is further generalized to allow for mu
84          Finally, we introduce a data-driven percolation model mimicking rumor spreading and we show
85                         Second, we compare a percolation model of internetwork cascading to three mod
86                                            A percolation model predicts that the threshold is highly
87 ies to the influence maximization problem in percolation model, it is still important to examine its
88 n of gold nanocrystals and is explained by a percolation model.
89  decreases vulnerability, in contrast to the percolation model.
90                                 This "double percolation" model has previously explained many feature
91 critical exponents between the bond and site percolation models in networks with null percolation thr
92 fficients consistent with charge hopping and percolation models of spatially fixed redox centers.
93                 The site-occupation data and percolation models show that there are limited stoichiom
94 antitative magnetization data are fit to new percolation models, based upon random distributions of c
95 but they are identical for the bond and site percolation models.
96 cteristic of FCDI requires continuous charge percolation near the boundaries of ion-exchange membrane
97 hen there is increased dimensionality of the percolation network and stronger orbital overlap.
98     In an Appendix, we show that an epidemic percolation network can be defined for any time-homogene
99 with bulk-produced carbon nanofibres (charge percolation network for electron transport, and for impa
100 t of potassium-intercalation is shown on the percolation network in self-assembled aromatic molecular
101 ductor comprising a layer of silver nanowire percolation network inlaid in the surface layer of a Die
102 sical polymer theory, with insights from the percolation network model, we illustrate the direct prop
103 diffusion is triggered by the formation of a percolation network of antisites.
104 series of simulations, we show that epidemic percolation networks accurately predict the mean outbrea
105 his paper, we outline the theory of epidemic percolation networks and their use in the analysis of st
106               Finally, we show that epidemic percolation networks can be used to re-derive classical
107                                 The epidemic percolation networks for these models are purely directe
108           The focus will be on (1) embedding percolation networks of one-dimensional conductive mater
109 ploit this potential, a design principle for percolation networks of technologically important film g
110 nic nanocomposite is the result of favorable percolation networks on the nano- and micro-scale and th
111  to make porous nanocomposites with metallic percolation networks that have an electrical conductivit
112  corresponding probability space of epidemic percolation networks.
113 rbon distributions in rock salt require that percolation occurred at porosities considerably below th
114 he critical (minimal) value, p(c), for which percolation occurs, i.e. a cluster connecting the opposi
115 cular concerns for data correctness; if this percolation occurs, incorrect data in one database may e
116 rate that this unexpected behavior is due to percolation of a certain type of active diffusion channe
117 l marginal stabilities favor both electronic percolation of a dopant network and rigidity percolation
118 easure of real-time activity-stimulus-evoked percolation of activity through the dentate gyrus relati
119 nt transport in polymers may result from the percolation of charge carriers from conducting ordered r
120 thus require a mechanism to prevent downward percolation of dense melt within the layer.
121 al models should describe the outcome of the percolation of genetic lineages through the population p
122 ient microhabitat experiencing constant slow percolation of highly alkaline phosphate-enriched spring
123                             Evidence for the percolation of metallic melt is provided by X-ray microt
124                                              Percolation of oxygenated water prevented the proliferat
125 s and thermodynamic modeling indicating that percolation of reducing fluids exerts strong control on
126 pressure pumping, carbonate dissolution, and percolation of soil water through the vadose zone.
127                                              Percolation of solid domains slowed down monolayer colla
128                                              Percolation of such phase coexistence in the vicinity of
129 percolation of a dopant network and rigidity percolation of the deformed lattice network.
130  prairie dog hosts and therefore, permitting percolation of the disease throughout the primary host p
131 ers (BFO@BZT_nfs); on the microscopic scale, percolation of the interfaces further raises the polariz
132               The viscosity is driven by the percolation of the solid phase domains, which depends on
133 bile shell during condensation with the slow percolation of water during evaporation through a more h
134 ze, analogous to finite-size effects in bond percolation on a lattice.
135                                              Percolation on a one-dimensional lattice and fractals, s
136 dentifies the important impact of macro-pore percolation on permeability, it does not describe the de
137 ctly solve the properties of this asymmetric percolation on random sexual contact networks and show t
138               We conclude that the theory of percolation on semi-directed networks provides a very ge
139 stic set of transition probabilities using a percolation paradigm for a susceptible-infected (S-I) ep
140 environmental risks of particle mobility and percolation, particularly for nanoplastics.
141 Transition, where a sample-spanning metallic percolation path is formed as the fraction of the hoppin
142 ducing an "archipelago effect" and a complex percolation path.
143         Multi-contact interactions represent percolation paths (C-walks) through three-dimensional (3
144                The sensitivity of conducting percolation paths to tilt-induced texture improvement is
145 icted to rely on morphological alteration of percolation paths.
146 d pi-stacks, thus leading to two-dimensional percolation pathways along the source-drain direction.
147  events by "charge-exchange" phenomena along percolation pathways and (2) H(+) exchange between deloc
148 s present in the higher EW membranes provide percolation pathways for charge migration between DBs, w
149 etwork density that establishes the required percolation pathways for the charge carriers.
150               However, it is unclear whether percolation pathways of LM can support high electrical c
151 s not aggregate enough to create appropriate percolation pathways that prevent fast nongeminate recom
152 n rubrene is described to occur via multiple percolation pathways, where conduction is dominated by t
153 tify virus entry occurring through diffusive percolation, penetrating areas where cell junctions are
154                                 Accordingly, percolation phase transition is proposed as a new test b
155 tional connectedness, which corresponds to a percolation phase transition.
156 should be responsible for the missing of the percolation phase transition.
157 fferent reanalysis datasets, we verified the percolation phase transition.
158 r networks whose structure exhibits rigidity percolation phase transitions.
159 tion, the burst phase, refractory phase, and percolation phase, can be differentially modulated to co
160 finding approximate solutions of the optimal percolation problem from single-layer to multiplex netwo
161 at approximating the solution of the optimal percolation problem on a multiplex network with solution
162 tion threshold is obtained by solving a bond percolation problem on the Voronoi diagram of the obstac
163 ergence of the Lightning Network as a (bond) percolation process and we explore how the distributiona
164 f the cluster sizes, different stages of the percolation process can be discerned, and these indicate
165 d the flood contagion model with the network percolation process in which the probability of flooding
166 ch hydrate formation participates in the gas-percolation process is missing.
167 V transmission behaves akin to an asymmetric percolation process on the network of sexual contacts.
168 the metabolic networks can be described as a percolation process.
169 ons activated by local binding in terms of a percolation process.
170 ve particles is governed by a nonequilibrium percolation process.
171   We give 2 example applications, one to the percolation properties of networks and the other to the
172 lkali compositions, metal ion clustering and percolation radically affect melt mobility, central to u
173               We propose a novel competitive percolation recovery model accounting for node demand an
174 errida curves on random Boolean networks and percolation simulations on square lattices, we demonstra
175 stems obstructed by nanopillars; a continuum percolation system in which a prescribed fraction of ran
176 estigate two regimes, statical and dynamical percolation, that correspond to different time scales fo
177 is suggests that it is phase separation, not percolation, that corresponds to gelation in models for
178                                In electrical percolation, the passage of current through the conducti
179  for Earth's lake area-distribution based on percolation theory and evaluate these expectations with
180         To explain this large payoff, we use percolation theory and prove that whenever the labyrinth
181 ace, opening new possibilities for deploying percolation theory and stochastic subgridscale modeling
182 e, allows estimation of the crystallinity by percolation theory and the location of regions with defe
183  in the present work illustrates clearly the percolation theory applied to MGs, for example, the perc
184                We first show that a modified percolation theory can define a set of hierarchically or
185                                              Percolation theory dictates an intuitive picture depicti
186                        Despite the fact that percolation theory does not completely describe the dyna
187 gels formed at 32 degrees C, indicating that percolation theory does not fully capture the dynamics o
188                                   A modified percolation theory incorporating the self-assembly behav
189      Recent progress in the understanding of percolation theory points to cation-disordered lithium-e
190                   A novel model derived from percolation theory suggests that phase polyphenism may h
191  broadly, our results identify extensions to percolation theory that do or do not alter its predictio
192                   It can be deduced from the percolation theory that the compressive ductility, ec, c
193                     Here we use methods from percolation theory to develop a mathematical framework f
194                               Here, we apply percolation theory to explain the mechanism of intermito
195                                     We apply percolation theory to explain the operation of multiple-
196 nductivity is well explained with a modified percolation theory to model a pressure-dependent conduct
197                       In this work, we apply percolation theory to the UK's road network using the re
198                           Using methods from percolation theory we consider both leaky immunity, wher
199                          Using a model from "percolation theory", we show that it would be highly det
200 aves in a universal framework of antenna and percolation theory(25,26), and reveal a phase transition
201 ical signal is statistically consistent with percolation theory, and yet it is reasonable to suspect
202 t independent from other cells as assumed in percolation theory, but instead is correlated with its n
203 ells is not constant in space, as assumed in percolation theory, but instead varies within and across
204 l propagation in heterogenous media, such as percolation theory, can potentially provide a quantitati
205 bal structural parameters by connecting with percolation theory, providing a bridge from irregular re
206                                        Using percolation theory, the theory of competitive exclusion
207  propose a probabilistic method, inspired by percolation theory, to computationally quantify how robu
208  ~1.6 and 0.8, respectively, consistent with percolation theory, while detailed balance in the partic
209 vity and is consistent with predictions from percolation theory.
210 bonaceous materials was proven to follow the percolation theory.
211      We analyzed this transition in terms of percolation theory.
212 ing independent of frequency as predicted by percolation theory.
213 em go beyond the simple assumptions of basic percolation theory.
214 racterize the dynamics using techniques from percolation theory.
215 ncentration is up to 50 wt %, well above the percolation threshold (~1 wt %).
216 tion theory applied to MGs, for example, the percolation threshold and characteristics of percolation
217                                The ultra-low percolation threshold and self-limited fusing ability ma
218 ases as the film thickness is reduced to the percolation threshold and that the SWNT-PABS film thickn
219 opolymer nanocomposites (CPCs) with ultralow percolation threshold are designed by reducing in situ g
220 " model predicts a power-law approach to the percolation threshold at a critical packing factor of p(
221                                            A percolation threshold at which diffusion of fluid-phase
222 rease in the FeNi layer thickness across the percolation threshold evolution from the superferromagne
223  to dominate the signal, exactly matches the percolation threshold for hard spheres and quantifies th
224 cting SWNTs, at high density (well above the percolation threshold for metallic SWNTs) and with appro
225  a critical area fraction, which matches the percolation threshold for the immobile point obstacles.
226 h offers a simple, direct way to measure the percolation threshold for this system, which has not pre
227 hat exceptions happen when domains reach the percolation threshold in a biphasic membrane and a netwo
228                               We confirm the percolation threshold in static experiments on synthetic
229                                          The percolation threshold is expressed as the diameter of th
230                                          The percolation threshold is found to be 22% GM(1) and the c
231 hods, the obstacles are immobilized, and the percolation threshold is obtained by solving a bond perc
232 -1)) for low particle loadings, but once the percolation threshold is reached (volume percentage of 7
233 whose size rapidly grows with time until the percolation threshold is reached and the structure colla
234 ely unbundled nanotubes, near the electronic percolation threshold is required for the effective conv
235 ably, reproduce the exact analytical optimal percolation threshold obtained in Random Struct. Alg. 21
236 micro dendrites with an ultra-low electrical percolation threshold of 0.97 vol% (8 wt%).
237  nanocomposites show a record-low electrical percolation threshold of 3.3 x 10(-2) vol%, which arises
238 s where [Formula: see text] becomes the bond percolation threshold of a logical graph.
239 ne composite formed by this route exhibits a percolation threshold of approximately 0.1 volume per ce
240 n fell below 27 degrees C, consistent with a percolation threshold of coexisting gel and liquid-cryst
241 f approximately p(c), where p(c) is the site percolation threshold of the lattice (in a percolation e
242 owing that, at slightly above the electrical percolation threshold of the network, binding of a speci
243  22% GM(1) and the confining diameter at the percolation threshold only approximately 50 nm.
244 gen network in articular cartilage is near a percolation threshold that gives rise to these large mec
245  only for concentrations of mineral above a "percolation threshold" corresponding to formation of a m
246 correlation between fitnesses can reduce the percolation threshold, and correlations at the point of
247 neered networks decrease bundling, lower the percolation threshold, and enable a strong enhancement i
248 on of the matrix, (c) is the value of at the percolation threshold, and mu is the dynamic exponent.
249 ntersecting relation and passing through the percolation threshold, can be expected to be a good appr
250 , should display universal behavior near the percolation threshold, i.e., D ~ ( - (c))(mu), where is
251                              Images reveal a percolation threshold, i.e., the point where rafts becom
252 nch-off at melt fractions slightly below the percolation threshold.
253 fraction required to induce porous flow, the percolation threshold.
254 sional silver nanowire networks close at the percolation threshold.
255 permeability of static rock salt is due to a percolation threshold.
256 ed connection probabilities, approaching the percolation threshold.
257 iscibility for D18:Y6 and D18:IT-4F near the percolation threshold.
258 meter describing obstructed diffusion is the percolation threshold.
259 he epidemics by placing the system below the percolation threshold.
260 n the mean-field result and to vanish at the percolation threshold.
261 stic strength being inversely related to the percolation threshold.
262 htened sensitivity at densities close to the percolation threshold.
263 mals that contain enough metal to exceed the percolation threshold.
264 ribed by a percolating system with different percolation thresholds for lipids and proteins.
265                           In general, static percolation thresholds may not always limit fluid flow i
266 ite percolation models in networks with null percolation thresholds, such as scale-free graphs with d
267 ical semiconductor (BSC) based on electrical percolation through a multilayer three-dimensional carbo
268             A simulation model of electrical percolation through a three-dimensional network of curve
269 on, and presents a complete picture of O(2-) percolation through apatite.
270 inite element simulations to demonstrate how percolation through this actual 3D structure impedes ion
271  fluvial transport of nitrogen in rivers and percolation to groundwater accounts for approximately 35
272 ting topics, from geodesics in first-passage percolation to transit node-based route-finding algorith
273 sions-by employing analogies to the directed-percolation transition from nonequilibrium statistical p
274                                            A percolation transition in the redundancy in the constrai
275                                              Percolation transition produces porous nanocarbon with f
276                    We found that the Quantum Percolation Transition theory provides a better descript
277 dos-Renyi network formation model causes its percolation transition to become discontinuous.
278 ity can be associated to an abrupt bootstrap-percolation transition with cascades of extreme views th
279 uch lattices with small-world bonds, a novel percolation transition with explosive cluster growth can
280 onal insights on the anomalous nature of the percolation transition with null threshold.
281 in a network leads to the observation of the percolation transition, a structural change with the app
282 tive gap going to zero; and (b) as a Quantum Percolation Transition, where a sample-spanning metallic
283 governed by a random process often undergo a percolation transition, wherein around a critical point,
284 tes mitochondrial network structure near the percolation transition, which also influences ATP and re
285 ected pieces and the degrees of freedom show percolation transitions as a function of the density of
286                                      Whether percolation transitions could be discontinuous has been
287 am with two fundamentally different types of percolation transitions.
288 ly and computationally, the mechanics of gas percolation under hydrate-forming conditions.
289 atic mathematical framework for road network percolation under the disturbance of flooding.
290 ence in a channel coincide with the directed percolation universality class.
291 acks at all packing densities through to the percolation value for this geometry, p(c) = 0.4072.
292 ich can be attributed to enhanced electrical percolation via the nonoxidized inner tubes.
293 d as oversimplified when the role of network percolation was included.
294                  Using the framework of link percolation we find that isolation increases the critica
295 igh variability moved mitochondria away from percolation which reduced the effectiveness of the elect
296 activated mitochondrial cluster structure at percolation with a power law distribution and exponent m
297                The fate of melt water in the percolation zone is poorly constrained: some may travel
298 y the existing water storage capacity of the percolation zone of the Greenland ice sheet and show the
299 e increased surface melt is occurring in the percolation zone, a region of the accumulation area that
300 el rise will fill existing pore space of the percolation zone.

 
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