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Using percolation on the branches of a Galton-Watson tree, Aldous and Pitman constructed by time-reversal in [4] an inhomogeneous tree-valued Markov process that starts from the
Young subgroups, Spherical functions, Finite symmetric spaces, Ramanujan graphs, Symmetric groups, Representations, Characters, Spectral graph theory, Gelfand pair.. AMS
Matrix valued functions, Perturbations, Similarity of matrices, Diagonalizable matrices.. AMS
Circulant matrix, A -Factor circulant matrices, Block Vandermonde and Fourier matrices, Rotation and hyperbolic matrices, Generalized Euler formula matrices, Periodic solutions..
assumed to be continuous, the corresponding Markov chain will have the weak Feller property. The fact that a process is topologically recurrent also implies that.. it has some
We define the first passage bridge from 0 to λ as the Brownian motion on the time interval [0,1] conditioned to first hit λ at time 1. We show that this process may be related to
Key words: multitype measure-valued branching processes; conditioned Dawson-Watanabe process; critical and subcritical Dawson-Watanabe process; conditioned Feller diffusion; re-
Key words: continuous-time Markov chain, law of large numbers, central limit theorem, large deviations, entropy production, time-reversed process.. AMS 2000 Subject
