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The initial configuration is irrelevant for the possibility of mutual unbounded growth in the two-type Richardson model
[article]
2015
arXiv
pre-print
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The main result in this paper is, loosely speaking, that the choice of the initial sets ξ_1 and ξ_2 is irrelevant in deciding whether the event of mutual unbounded growth for the two infection types has ...
The two-type Richardson model describes the growth of two competing infections on Z^d. At time 0 two disjoint finite sets ξ_1,ξ_2⊂Z^d are infected with type 1 and type 2 infection respectively. ...
The Richardson model, introduced in Richardson (1973) , is one of the simplest models for growth on Z d . ...
arXiv:1509.06964v1
fatcat:qu7dgrsiujgqzmkjb7u6ayq6pu
The Initial Configuration is Irrelevant for the Possibility of Mutual Unbounded Growth in the Two-Type Richardson Model
2006
Combinatorics, probability & computing
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The main result in this paper is, loosely speaking, that the choice of the initial sets ξ1 and ξ2 is irrelevant in deciding whether the event of mutual unbounded growth for the two infection types has ...
The two-type Richardson model describes the growth of two competing infections on Z d . At time 0 two disjoint finite sets ξ1, ξ2 ⊂ Z d are infected with type 1 and type 2 infection respectively. ...
The Richardson model, introduced in Richardson (1973) , is one of the simplest models for growth on Z d . ...
doi:10.1017/s0963548305007315
fatcat:4p4gwgs4tjgrhpdupuphii2qki
First passage percolation and competition models
[article]
2010
arXiv
pre-print
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The latter half of the paper focuses on the connection between first passage percolation and a certain class of stochastic growth and competition models. ...
This paper is a survey of various results and techniques in first passage percolation, a random process modeling a spreading fluid on an infinite graph. ...
i , and we call this event coexistence or mutual unbounded growth for the initial configuration (A 1 , A 2 ). ...
arXiv:1005.0649v1
fatcat:pjcrpn5fprguphrimwpgrxjpym
A stochastic model for competing growth on R^d
[article]
2015
arXiv
pre-print
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The main result is that with the growth rate for one of the infection types fixed, mutual unbounded growth has probability zero for all but at most countably many values of the other infection rate. ...
A stochastic model, describing the growth of two competing infections on R^d, is introduced. ...
Consider the development of the infection in the two-type Richardson model. There are two possible scenarios: 1. ...
arXiv:1509.06961v1
fatcat:kmctu2mtcng4hglcjh4opybpbe
A Geometric Perspective on First-Passage Competition
[article]
2012
arXiv
pre-print
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process in the Euclidean space R^d, providing a formal definition for a model of crystal growth that has previously been studied computationally. ...
First-passage competition is a stochastic process modeling two infections spreading outward from initially occupied disjoint subsets of Z^d. ...
In the two-type Richardson model on Z d with growth rates λ 1 = λ 2 = λ, if (A 1 , A 2 ) is any finite, fertile initial configuration, then Pr Coex λ,λ (A 1 , A 2 ) > 0. ...
arXiv:1212.6254v1
fatcat:vlwdskfparas5emc4u3wulgnt4
Fossil field decay due to nonlinear tides in massive binaries
2019
Astronomy and Astrophysics
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We predict that the turbulent Joule diffusion of fossil fields would occur in a few million years for several short-period massive binaries. ...
Then, we propose a mixing-length theory for the mixing generated by tidal instability in the nonlinear regime. ...
We are now in a position to survey the possible nonlinear couplings of the different types of waves that can trigger tidal instability. ...
doi:10.1051/0004-6361/201935658
fatcat:ho4qive5ojczjoz5q6msrgirny
Fossil field decay due to nonlinear tides in massive binaries
[article]
2019
arXiv
pre-print
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The typical time scale for the turbulent decay of a fossil field evolves as (beta0^2 Ws)^-1, with Ws the typical spin angular velocity of the fluid and beta0 the tidal amplitude. ...
Hence, we predict that the tidal disruption of fossil fields would occur in less than a few million years for typical short-period massive binaries (with beta0 = 1e-3 - 1e-2). ...
., 1995, Physics of Fluids, 7, 1626 Lifschitz A., Hameiri E., 1991, Physics of Fluids, 3, 2644 Lifschitz A., Lebovitz N., 1993 ...
arXiv:1902.10599v1
fatcat:ornk3fcllrecpingumq3nnzbm4
Kinetic roughening phenomena, stochastic growth, directed polymers and all that. Aspects of multidisciplinary statistical mechanics
1995
Physics reports
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The reader is urged to consult all for completeness. 2. Early models of local stochastic growth 2.1. ...
The idea is to count exactly all the possible cluster configurations and then to take the ensemble average of the physical quantity of interest -in our case, the gyration radius, 224 7: Halpin-Healy, E-C ...
While the deadlines for its delivery have been repeatedly missed, in compensation we were able to benefit from the considerable knowledge accumulated in the last few years. ...
doi:10.1016/0370-1573(94)00087-j
fatcat:kwz2xwvx2zaxdbawslxuq5jij4
Richardson-Gaudin models and broken integrability
[article]
2018
arXiv
pre-print
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Throughout this work, it is shown how the clear-cut structure and relatively large freedom in Richardson-Gaudin models makes them ideal for an investigation of the general principles of integrability, ...
in two different settings. ...
In this chapter, we show how it is possible to efficiently solve the Bethe equations for Richardson-Gaudin models. ...
arXiv:1809.04447v1
fatcat:s6antjegqbdura4bd2fevgu6ga
Modeling Earth Dynamics: Complexity, Uncertainty, and Validation 28th IUGG Conference on Mathematical Geophysics; Pisa, Italy, 7-11 June 2010
2010
EOS
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In the second topic we study two types of patterns. ...
Our numerical elasto-plastic spring-network model, that couples these two processes, indeed reproduces growth of all the types of stylolites observed in the field: single self-similar stylolites, infinitely ...
doi:10.1029/2010eo510012
fatcat:dtwgpyu3wbfchotfybjnwes2ze
Field-Control, Phase-Transitions, and Life's Emergence
2012
Frontiers in Physiology
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Where available, experiments are cited in support of these speculations and for designing appropriate tests. ...
Nevertheless, a causal link of life's macroscopic irreversible dynamics to the microscopic reversible laws of statistical mechanics is indicated via the "functionaltakeover" of a soft magnetic scaffold ...
Now, thermionic emission via the Richardson effect could have provided single electrons (c.f. pairs from redox reactions) to inorganic-scaffolds, which is interesting in view of the possible role of electron-bifurcation ...
doi:10.3389/fphys.2012.00366
pmid:23060803
pmcid:PMC3464435
fatcat:tkmtpt7aargrrbelm4ddwcugde
Territorial Cohesion in Europe: For the 70th Anniversary of the Transdanubian Research Institute
2014
Regional studies
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It has involved several research teams, the Transdanubian Research Institue of the Centre for Regional Studies belonging to the Hungarian Academy of Sciences (Hungary), the Institute for Agriculture and ...
Started in 2008, the research project lasted for four years. ...
Its basic aim is to address the shortcomings of the "standard" growth model and to create conditions for a different type of growth that is smarter, more sustainable and more inclusive. ...
doi:10.1080/00343404.2014.984672
fatcat:s4c5jj4sp5h77dkgesi6nuw3py
Fair and resilient incentive tree mechanisms
2013
Proceedings of the 2013 ACM symposium on Principles of distributed computing - PODC '13
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Given the above impossibility result, these two mechanisms are effectively the best we can hope for. Finally, our model and results generalize recent studies on multi-level marketing mechanisms. ...
The sum of rewards paid by the mechanism to all participants is linear in the sum of their total contribution. ...
In our model, the total amount of reward distributed to the participants grows linearly in the total contribution (thus, it is a multi-level marketing-type model), whereas in [7] , the total reward is ...
doi:10.1145/2484239.2484252
dblp:conf/podc/LvM13
fatcat:f3uq7dz2qzcnnot6ktnv2f2bca
Fair and resilient Incentive Tree mechanisms
2015
Distributed computing
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Given the above impossibility result, these two mechanisms are effectively the best we can hope for. Finally, our model and results generalize recent studies on multi-level marketing mechanisms. ...
The sum of rewards paid by the mechanism to all participants is linear in the sum of their total contribution. ...
In our model, the total amount of reward distributed to the participants grows linearly in the total contribution (thus, it is a multi-level marketing-type model), whereas in [7] , the total reward is ...
doi:10.1007/s00446-015-0250-y
fatcat:o3rqrpgdsrbx5gsdv7wfe3otsa
On the history of Ludwig von Bertalanffy's "General Systemology", and on its relationship to cybernetics – part III: convergences and divergences
2015
International Journal of General Systems
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We underline the complementarity of cybernetic and "organismic" trends in systems research within the unitary hermeneutical framework of "general systemology". ...
Nonetheless, his perspectivist epistemology is also relevant with regard to developments in second order cybernetics, and the latter is therefore also considered to some extent. W. ...
Type (2)(iii), equifinality, i.e. the final state can be "reached from different initial conditions and in different ways", is found in open systems and is responsible for "primary regulability". ...
doi:10.1080/03081079.2014.1000642
pmid:26612966
pmcid:PMC4610108
fatcat:olxobzj6mjgypi6q7xq7g2e35q
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