getdoc4637. 367KB Jun 04 2011 12:04:19 AM
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We define a 1-ended, locally finite tree factor on the points of the process, that is, a mapping of the point configuration to a graph on it that is measurable and equivariant with
In the case of branching systems we show that the multiple space time scale analysis can be applied even on the level of the historical process , that is, the process encoding the
Further complicating the proof is that because births and deaths occur at the same time in the Moran model, the fates of two type m − j mutations that occur at different times are
We construct a version of the corner growth model that corresponds to an equilibrium exclusion process as seen by a typical particle right after its jump, and show that along
In positive genus, Chapuy, Marcus, and Schaeffer [ 6 ] extended the bijective approaches known for the planar case, leading Chapuy [ 5 ] to establish the convergence of the
Indeed, it seems that case (a) should give us the right picture: in the limit, in between large events lineages perform Brownian motions on the torus of sidelength 1 due to
These authors proved that the shock was characterized by the evolu- tion of a second class particle, which moved at the shock speed, and followed the characteristic lines and shocks
Key words: bifurcating autoregressive process ; tree-indexed times series; martingales ; least squares estimation ; almost sure convergence ; quadratic strong law; central
