a straightforward approach for identifyingmultiple spatial movement patterns KevinMorelle* , Nils Bunnefeld, Philippe Lejeune andStephenA.Oswald BIOSEDepartment, Gembloux Agro-Bio Tech, University of Li ege, passage des d eport es 2, 5030Gembloux, Belgium; Biological and Environmental Sciences, School of Natural Sciences, University of Stirling, Stirling FK9 4LA, UK; and Division of Science, Pe...

a Department of Computing Science and Mathematics, University of Stirling, Stirling FK9 4LA, UK b Division of Neuroscience and Biomedical Systems, IBLS University of Glasgow West, Medical Building Glasgow, G12 8QQ, UK c Department of Mathematics, Centre for Neural Networks, King’s College London, London, UK d Centre for Theoretical and Computational Neuroscience, University of Plymouth, Plymout...

1Department of Behavioral Sciences, Faculty of General Medicine, University of Szeged, Szeged, Hungary 2Royal Ottawa Mental Health Centre, Institute of Mental Health Research and Department of Psychiatry, University of Ottawa, Ottawa, Canada 3Department of Psychology, University of Stirling, Stirling, Scotland, UK 4Research and Evaluation Unit, Women’s and Children’s Hospital and School of Paed...

The generalized Stirling numbers introduced recently [11, 12] are considered in detail for the particular case s = 2 corresponding to the meromorphic Weyl algebra. A combinatorial interpretation in terms of perfect matchings is given for these meromorphic Stirling numbers and the connection to Bessel functions is discussed. Furthermore, two related q-polynomial identities are derived.

We study random convex cones defined as positive hulls of d-dimensional walks and bridges. compute expectations various geometric functionals these such the number k-dimensional faces sums conic quermassintegrals their faces. These are expressed in terms Stirling numbers both kinds B-analogues.

Chen, J-C. (corresponding author, [email protected] ), Greenwood , S. ([email protected] ), Chen, C-T. ([email protected]), Jump, A.S. ([email protected]) Department of Forestry, National Pingtung University of Science and Technology, 1 Hseuh Fu Road, Nei Pu Hsiang, Pingtung 912, Taiwan; Biological and Environmental Sciences, School of Natural Sciences, University of ...

We exploit a bijection between plane recursive trees and Stirling permutations; this yields the equivalence of some results previously proven separately by different methods for the two types of objects as well as some new results. We also prove results on the joint distribution of the numbers of ascents, descents and plateaux in a random Stirling permutation. The proof uses an interesting gene...

We describe the relation between graph decompositions into walks and the normal ordering of differential operators in the n-th Weyl algebra. Under several specifications, we study new types of restricted set partitions, and a generalization of Stirling numbers, which we call the λ-Stirling numbers.