Towards the Variance of the Profile of Suffix Trees

نویسنده

  • Mark Daniel Ward
چکیده

[5] Caliebe, A. Symmetric Fixed Points of a Smoothing Transformation. Adv. Appl. Probab. 35 (2003), 377–394. [6] Caliebe, A. Representation of fixed points of a smoothing transformation. Mathematics and computer science. III (2004), 311–324, Trends Math., Birkhäuser, Basel. [7] Caliebe, A. and Rösler, U. Fixed points with finite variance of a smoothing transformation. Stochastic Process. Appl. 109 (2003), 105–129. [8] Rüschendorf, L. On stochastic recursive equations of sum and max type. J. Appl. Probab. 43 (2006), 678-703. [9] Spitzmann, J. Lösungen inhomogener stochastischer Fixpunktgleichungen (Solutions of inhomogeneous fixed-point equations). PhD Dissertation, Christian-Albrechts-Universität Kiel.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Variance of the Internal Profile in Suffix Trees

The precise analysis of the variance of the profile of a suffix tree has been a longstanding open problem. We analyze three regimes of the asymptotic growth of the variance of the profile of a suffix tree built from a randomly generated binary string, in the nonuniform case. We utilize combinatorics on words, singularity analysis, and the Mellin transform.

متن کامل

Compact Suffix Trees Resemble PATRICIA Tries: Limiting Distribution of the Depth

Suffix trees are the most frequently used data structures in algorithms on words. In this paper, we consider the depth of a compact suffix tree, also known as the PAT tree, under some simple probabilistic assumptions. For a biased memoryless source, we prove that the limiting distribution for the depth in a PAT tree is the same as the limiting distribution for the depth in a PATRICIA trie, even...

متن کامل

Probabilistic analysis of the asymmetric digital search trees

In this paper, by applying three functional operators the previous results on the (Poisson) variance of the external profile in digital search trees will be improved. We study the profile built over $n$ binary strings generated by a memoryless source with unequal probabilities of symbols and use a combinatorial approach for studying the Poissonized variance, since the probability distribution o...

متن کامل

The Average Profile of Suffix Trees

The internal profile of a tree structure denotes the number of internal nodes found at a specific level of the tree. Similarly, the external profile denotes the number of leaves on a level. The profile is of great interest because of its intimate connection to many other parameters of trees. For instance, the depth, fill-up level, height, path length, shortest path, and size of trees can each b...

متن کامل

Profile and Height of Random Binary Search Trees

The purpose of this article is to survey recent results on distributional properties of random binary search trees. In particular we consider the profile and the height.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2012