𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Numbers of Orbits of Permutations under an Operator Related to Eulerian Numbers

✍ Scribed by Shinji Tanimoto


Publisher
Springer
Year
2004
Tongue
English
Weight
191 KB
Volume
8
Category
Article
ISSN
0218-0006

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


An Operator on Permutations and its Appl
✍ Shinji Tanimoto πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 87 KB

We introduce an operator on permutations of 1, 2, . . . , n, which preserves the numbers of their ascents and descents. We investigate periods of permutations under the operator and structures of permutations with given periods. As its application we prove some congruence relations modulo a prime fo

On the exact distributions of Eulerian a
✍ James C. Fu; W.Y.Wendy Lou; Yueh-Jir Wang πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 111 KB

Eulerian and Simon Newcomb numbers are two of the most celebrated numbers associated with random permutations. Their distributions have been successfully used in various areas of statistics and applied probability. Conventionally, these distributions have been studied via combinatorial analysis. In

On the Entropy Numbers of an Operator an
✍ David E. Edmunds; Hans-Olav Tylli πŸ“‚ Article πŸ“… 1986 πŸ› John Wiley and Sons 🌐 English βš– 463 KB

The main purpose of this paper is to give some natural relations between the entropy numbers of an operator and those of its adjoint. This problem has attracted some recent attention (of. [ll], 14.3. 6 and[a]). Typically, we shall consider inequalities which allow a correction term. We obtain our fi