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Recurrence and transience for the frog model on trees
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/s00222-011-0344-5openalex-snapshot
Absorbing-state phase transition for driven-dissipative stochastic dynamics on ℤ
inferredcites →https://doi.org/10.1007/s00440-016-0711-7openalex-snapshot
A zero-one law for recurrence and transience of frog processes
inferredcites →https://doi.org/10.1007/s10955-004-2051-8openalex-snapshot
An Improved Upper Bound for the Critical Probability of the Frog Model on Homogeneous Trees
inferredcites →https://doi.org/10.1007/s10955-009-9918-7openalex-snapshot
Activated Random Walkers: Facts, Conjectures and Challenges
inferredcites →https://doi.org/10.1017/s0001867800008090openalex-snapshot
Fixed points of a generalized smoothing transformation and applications to the branching random walk
inferredcites →https://doi.org/10.1017/s0001867800042348openalex-snapshot
The first- and last-birth problems for a multitype age-dependent branching process
inferredcites →https://doi.org/10.1017/s0021900200017812openalex-snapshot
Branching and tree indexed random walks on fractals
inferredcites →https://doi.org/10.1090/s0002-9947-09-04889-2openalex-snapshot
Fluctuations of the front in a one dimensional model of $X+Y\to 2X$
inferredcites →https://doi.org/10.1214/07-ps094openalex-snapshot
A survey of random processes with reinforcement
inferredcites →https://doi.org/10.1214/09-aop502openalex-snapshot
Large deviations of the front in a one-dimensional model of X+Y→2X
inferredcites →https://doi.org/10.1214/105051605000000142openalex-snapshot
A survey of max-type recursive distributional equations
inferredcites →https://doi.org/10.1214/15-aap1127openalex-snapshot
From transience to recurrence with Poisson tree frogs
inferredcites →https://doi.org/10.1214/17-ejp50openalex-snapshot
Absorbing-state transition for Stochastic Sandpiles and Activated Random Walks
inferredcites →https://doi.org/10.1214/aoap/1026915614openalex-snapshot
The shape theorem for the frog model
inferredcites →https://doi.org/10.1214/ecp.v19-3740openalex-snapshot
Recurrence for the frog model with drift on $\mathbb{Z}^d$
inferredcites →https://doi.org/10.1214/ejp.v7-115openalex-snapshot
Phase Transition for the Frog Model
inferredcites →https://doi.org/10.1214/ejp.v9-197openalex-snapshot
On Infection Spreading and Competition between Independent Random Walks
inferredcites →https://doi.org/10.1215/ijm/1258059486openalex-snapshot
A phase transition in a model for the spread of an infection
inferredcites →https://doi.org/10.4171/jems/11openalex-snapshot
Asymptotic behavior of a stochastic combustion growth process
inferredcites →https://doi.org/10.46298/dmtcs.3328openalex-snapshot
Frogs and some other interacting random walks models
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/s00440-026-01478-wopenalex-snapshot
Upper tail large deviation for the one-dimensional frog model
inferred← citeshttps://doi.org/10.1007/s00440-026-01517-6openalex-snapshot
Existence and sharpness of the phase transition for the frog model on transitive graphs
inferred← citeshttps://doi.org/10.1007/s10955-019-02294-4openalex-snapshot
A New Upper Bound for the Critical Probability of the Frog Model on Homogeneous Trees
inferred← citeshttps://doi.org/10.1007/s10955-020-02597-xopenalex-snapshot
Critical Percolation and A+B$$\rightarrow $$2A Dynamics
inferred← citeshttps://doi.org/10.1007/s10955-022-03049-4openalex-snapshot
Critical Parameter of the Frog Model on Homogeneous Trees with Geometric Lifetime
inferred← citeshttps://doi.org/10.1007/s10955-023-03102-wopenalex-snapshot
A Stochastic Combustion Model with Thresholds on Trees
inferred← citeshttps://doi.org/10.1007/s10955-023-03156-wopenalex-snapshot
The Coverage Ratio of the Frog Model on Complete Graphs
inferred← citeshttps://doi.org/10.1016/j.spl.2021.109046openalex-snapshot
The continuous-time frog model can spread arbitrarily fast
inferred← citeshttps://doi.org/10.1017/apr.2019.8openalex-snapshot
Deviation bounds for the first passage time in the frog model
inferred← citeshttps://doi.org/10.1017/fms.2019.37openalex-snapshot
COVER TIME FOR THE FROG MODEL ON TREES
inferred← citeshttps://doi.org/10.1017/jpr.2018.56openalex-snapshot
Frog models on trees through renewal theory
inferred← citeshttps://doi.org/10.1017/jpr.2018.73openalex-snapshot
The nonhomogeneous frog model on ℤ
inferred← citeshttps://doi.org/10.1051/ps/2021007openalex-snapshot
The asymptotic shape theorem for the frog model on finitely generated abelian groups
inferred← citeshttps://doi.org/10.1063/1.5096521openalex-snapshot
Laws of large numbers for the frog model on the complete graph
inferred← citeshttps://doi.org/10.1214/15-aap1127openalex-snapshot
From transience to recurrence with Poisson tree frogs
inferred← citeshttps://doi.org/10.1214/17-aihp830openalex-snapshot
Stochastic orders and the frog model
inferred← citeshttps://doi.org/10.1214/18-ejp215openalex-snapshot
Asymptotic behavior of the Brownian frog model
inferred← citeshttps://doi.org/10.1214/19-aap1500openalex-snapshot
On an epidemic model on finite graphs
inferred← citeshttps://doi.org/10.1214/19-aap1520openalex-snapshot
The social network model on infinite graphs
inferred← citeshttps://doi.org/10.1214/19-ecp230openalex-snapshot
Sensitivity of the frog model to initial conditions
inferred← citeshttps://doi.org/10.1214/19-ecp238openalex-snapshot
The bullet problem with discrete speeds
inferred← citeshttps://doi.org/10.1214/19-ejp334openalex-snapshot
First passage time of the frog model has a sublinear variance
inferred← citeshttps://doi.org/10.1214/19-ejp368openalex-snapshot
Infection spread for the frog model on trees
inferred← citeshttps://doi.org/10.1214/19-ejp400openalex-snapshot
Competing frogs on ${\mathbb Z}^{d}$
inferred← citeshttps://doi.org/10.1214/20-ejp454openalex-snapshot
The frog model on non-amenable trees
inferred← citeshttps://doi.org/10.1214/20-ejp558openalex-snapshot
On transience of frogs on Galton–Watson trees
inferred← citeshttps://doi.org/10.1214/21-aap1755openalex-snapshot
On the minimal drift for recurrence in the frog model on d-ary trees
inferred← citeshttps://doi.org/10.1214/21-aihp1186openalex-snapshot
Transience and recurrence of sets for branching random walk via non-standard stochastic orders
inferred← citeshttps://doi.org/10.1214/22-aihp1341openalex-snapshot
Active phase for activated random walks on the lattice in all dimensions
inferred← citeshttps://doi.org/10.1214/23-aihp1395openalex-snapshot
Linear and superlinear spread for stochastic combustion growth process
inferred← citeshttps://doi.org/10.1214/23-aop1647openalex-snapshot
Essential enhancements in Abelian networks: Continuity and uniform strict monotonicity
inferred← citeshttps://doi.org/10.1214/24-aap2054openalex-snapshot
The frog model on Galton–Watson trees
inferred← citeshttps://doi.org/10.1214/24-ecp606openalex-snapshot
Improved critical drift estimates for the frog model on trees
inferred← citeshttps://doi.org/10.1214/24-ejp1108openalex-snapshot
Critical drift estimates for the frog model on trees
inferred← citeshttps://doi.org/10.1214/25-ecp678openalex-snapshot
Critical conditions for the coverage of complete graphs with the frog model
inferred← citeshttps://doi.org/10.30757/alea.v15-30openalex-snapshot
Recurrence of the frog model on the 3,2-alternating tree
inferred← citeshttps://doi.org/10.3390/math11244967openalex-snapshot
A Continuous-Time Urn Model for a System of Activated Particles
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