Random trees. Random trees. The main goal of this work is to investigate the genealogical structure of continuous-state branching processes in connection with limit theorems for discrete Galton-Watson trees. Applications are also given to the construction and various properties of spatial branching processes including a general class of superprocesses. Our starting point is the recent work of L...

ble present the results of an experimental study of two properties of the tau lepton performed with the MARK II detector in the SPEAR e+estorage ring at SLAC. The tau production cross section in e+eannihilation between 3.85 and 6.85 Gev in the center of mass has been measured using e-u events, and is consistent with the spin l/2, point cross section. The branching ratio product for the electron...

JJ89] C. Jard and T. Jeron. On-line model-checking for nite linear temporal logic speciications. 6 Conclusions In this paper we showed that tree automata, which have been considered unsuitable for branching-time model checking, provide a neat and optimal framework for branching-time temporal logics and can handle, eeciently, model checking. The crucial point in our method is that when branching...

We study the evolution of branching trees embedded in Euclidean spaces with suppressed branching of spatially close nodes. This cooperative branching process accounts for the effect of overcrowding of nodes in the embedding space and mimics the evolution of life processes (the so-called “tree of life”) in which a new level of complexity emerges as a short transition followed by a long period of...

The supply of oxygen and glucose by blood flow is vital to the normal function of the brain and the deficit of either of these metabolism elements can cause severe degradation of the brain functionality. The transport of materials in the complex multi-branching structure of the cerebral vasculature is investigated to predict the brain oxygenation under normal conditions. A mathematical model of...

Recent investigations have demonstrated that continuous-time branching random walks on multidimensional lattices give an important example of stochastic models in which the evolutionary processes depend on the structure of a medium and the spatial dynamics. It is convenient to describe such processes in terms of birth, death, and walks of particles on the lattice. The structure of a medium is d...

We apply the renormalization group approach to the sandpile on the triangular lattice. The only attractive fixed point is found. The obtained fixed point height probabilities are compared with numerical simulations. The value of critical exponent of avalanche size distribution is found to be τ = 1.36. The probabilities of the sand transition are compared with the branching probabilities of the ...

In this work, we characterize all the point processes $$\theta =\sum _{i\in {\mathbb {N}}} \delta _{x_i}$$ on $${\mathbb {R}}$$ which are left invariant under branching Brownian motions with critical drift $$-\sqrt{2}$$ . Our characterization holds only assumption that $$ is locally finite and ({\mathbb {R}}_+)<\infty almost surely.