A. I. Pavlov, Local limit theorems for the number of components of random permutations and mappings, Theory of Probability and Its Applications, 33, 183--187 (1988). Home/Search Document Not in Database Summary Related Articles Check |
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Large deviations of combinatorial distributions II: Local limit.. - Hwang (1997) (11 citations) (Correct)
....components in a random mapping of size n, and we obtain, for example, 2 Gamma 2 log n Delta(x= log n ( 1 A ; uniformly for m = log n x log n, x = o( log n) In particuler, Pi 1 (x) log 2 fl)x, fl being Euler s constant. This improves a result of Pavlov in [27]. Example 2. Components in ordered random mappings. In a random mapping, the order of its components is not taken into account. We can consider its ordered counterpart with generating function 1 1 Gamma w log(1= 1 Gamma C(z) 24) where as above C(z) is the generating function for Cayley ....
A. I. Pavlov, Local limit theorems for the number of components of random permutations and mappings, Theory of Probability and Its Applications, 33, 183--187 (1988).
Large deviations of combinatorial distributions II: Local limit.. - Hwang (1997) (11 citations) (Correct)
....in a random mapping of size n, and we obtain, for example, 2 2 log n#(x 2 log n) # # log n # ( log n) # uniformly for m = log n x log n, x = o( # log n) In particuler, # 1 (x) log 2 #)x, # being Euler s constant. This improves a result of Pavlov in [27]. Example 2. Components in ordered random mappings. In a random mapping, the order of its components is not taken into account. We can consider its ordered counterpart with generating function 1 w log(1 (1 C(z) 24) where as above C(z) is the generating function for Cayley trees. For # # ....
A. I. Pavlov, Local limit theorems for the number of components of random permutations and mappings, Theory of Probability and Its Applications, 33, 183--187 (1988).
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