M. Drmota, Correlations on the strata of a random mapping, Random Struct. Alg. 6 (1995), 357-365. Home/Search Document Not in Database Summary Related Articles Check |
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Convergence Of Branching Processes To The Local Time Of A.. - Gittenberger (Correct)
....step function process Ln (btc n c) c n . However, a direct application of the tightness inequality (Theorem 3.1) shows that the difference Ln (btc n c) c n Gamma l n (t) converges to zero in probability and thus the theorem is correct as stated. Remark 2. It should be mentioned that, following [3], this approach in conjunction with multivariate saddle point asymptotics would allow to establish a corresponding local limit theorem, too. Proof. Let us apply Cauchy s integral formula on (2.1) with the integration contour Gamma = Gamma 1 [ Gamma 2 [ Gamma 3 [ Gamma 4 where Gamma 1 = n ....
M.Drmota, Correlations on the strata of a random mapping, Random Structures and Algorithms 6 (1995), 357--365.
The Width of Galton-Watson Trees Conditioned by the Size - Drmota, Gittenberger (2004) (1 citation) Self-citation (Drmota) (Correct)
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M. Drmota, Correlations on the strata of a random mapping, Random Struct. Alg. 6 (1995), 357-365.
The Width Of Galton-Watson Trees - Drmota, Gittenberger (1999) (2 citations) Self-citation (Drmota) (Correct)
....into itself equipped with the uniform distribution. These mappings can be represented by functional digraphs consisting of components which are cycles of trees. The set of points in distance r from a cycle is called the rth stratum of a random mapping. This parameter was previously studied in [2, 8, 11, 29, 32]. For general results on random mappings and literature see [24, 14] Let Mn (r) denote the number of nodes in the rth stratum of a random mapping of size n. Then in [11] we proved Theorem 6. Let B(t) denote reflecting Brownian bridge, i.e. a process on the interval [0; 1] which is identical in ....
M. Drmota, Correlations on the strata of a random mapping, Random Structures and Algorithms 6 (1995), 357--365.
Strata Of Random Mappings - A Combinatorial Approach - Drmota, Gittenberger (1997) (2 citations) Self-citation (Drmota) (Correct)
....the interest of many authors. Harris [14] showed that the number of cyclic points Ln (0) p n weakly converges to a Rayleigh distribution with mean value p n=2. Mutafchiev [18] proved that this result is still true for r = o( p n ) The corresponding local limit theorem is derived in [8]. In case of r c p n, c 0, Mutafchiev s result is no longer true. Representations for the moments and the density of the limiting distribution for this case have been established by Proskurin [19] Finally, it should be mentioned that a survey of several related random mapping characteristics ....
M. Drmota, Correlations on the strata of a random mapping, Random Struct. Alg. 6 (1995), 357--365.
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