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We show that the corresponding maps can be characterized by certain singularity invariance con- dition, which leads to the 5 families of Yang–Baxter maps found in [ 1 ], as well as to
In this paper, the trees with a given diameter having the minimal energy are determined by three specific tree operations; using this method, together with previous work, a
It is known that for a totally positive (TP) matrix, the eigenvalues are positive and distinct and the eigenvector associated with the smallest eigenvalue is totally nonzero and has
For example, in the case that the random rooted infinite network is just a Cayley graph (rooted, say, at the identity) with the edges marked by the generators, a positive answer to
Key words: Conditional monetary risk measures, Conditional monetary utility func- tions, Conditional dual representations, Dynamic monetary risk measures, Dynamic monetary
Key words: Central limit theorem, excited random walk, law of large numbers, positive and negative cookies, recurrence, renewal structure, transience.. AMS 2000 Subject
We track the formation of the allelic partition using a certain Markov process, for which we then prove a fluid limit (functional law of large... The terminal value of our process
The main purpose of this paper is to derive convergence rates in the central limit theorems (or Berry-Esseen bounds) for the number of maxima in samples chosen uniformly at random