Recent Papers

Submitted: With Shaun Sullivan: Euler Coefficients and Restricted Dyck Paths (pdf), submitted to Congr. Numeratium

Appeared

With Shazhen Gao and Vladimir Bosovic: The distribution of the size of the intersection of a k-tuple of intervals (pdf), Congr. Numer. 176 (2005), 129-151
A Note on the Enumeration of Diffusion Walks in the First Octant by Their Number of Contacts with the Diagonal(dvi), J. of Integer Sequences 8 (2005) Article 05.4.03
Random walks in octants, and related structures
(dvi, postscript, pdf), J. Statistical Planning and Inference 135 (2005), 165 - 196 (there is a truncated cuboctahedron constructed in the paper, without a picture. Here is the picture, made by MathConsult Dr. R. Mäder)

With Phyllis Chinn: Compositions into Powers of 2, (doc) Congr. Numer. 168 (2004), 215-220.
With Katherine Humphreys: Counting Lattice Paths that have Infinite Step Sets that can not be Reinterpreted as Weighted, Finite Step Sets (ps, pdf) Congr. Numer. 169 (2004), 33-54.
With Katherine Humphreys: Counting Lattice Paths Taking Steps in Infinitely Many Directions under Special Access Restrictions ( dvi , ps ), Theoretical Computer Science 319 (2004) 385-409
Rota's Umbral Calculus and Recursions ( dvi , pdf ),
Algebra Universalis (2003), 49, 435 - 457
Catatalan Traffic at the Beach
(abstract, postscript, pdf), Electronic Journal of Combinatorics, 9 (1) R33, 2002
Planar Walks with Recursive Initial Conditions
  ( abstract or pdf or postscript ), J. of Statistical Planning and Inference 101 (2002) 229-253
Generalized Sheffer Sequences Satisfying Piecewise Functional Conditions ( abstract or pdf or postscript ), Computers & Math. With Applications 41 (2001) 1155-1171 .
With Katherine Humphreys: Counting Lattice Paths with Privileged Access using Sheffer Sequences ( pdf ), Congressus Numerantium 143 (2000) 141-160.
With S. Hsu and L. Qian: Application of the occupancy problem to wireless local area network establishments ( postscript ), Congr. Numer. 147 (2000), 191-200
Recursive initial value problems for Sheffer sequences ( abstract or pdf or postscript ), Discrete Mathematics 204 (1999) 319-327.
Planar Random Walks Inside a Rectangle ( pdf or postscript ), Congr. Numerantium, 132 (1998) 125-144
Lattice Paths Between Diagonal Boundaries ( abstract   or dvi or postscript ), Electronic Journal of Combinatorics, 5 (1) R30, 1998
With Christian Krattenthaler: Lattice Paths with Weighted Left Turns Above a Parallel to the Diagonal, Congressus Numerantiun 124 (1997), pp. 73-80. ( pdf or postscript ).
Lattice Path Enumeration and Umbral Calculus (pdf), Advances in Combinatorial Methods and Applications (editor: N. Balakrishnan), Birkhäuser Boston (1997).
Symmetric Sheffer Sequences and Their Applications to Lattice Path Counting (pdf) J. of Statistical Planning and Inference 54 (1996), pp. 87 - 100
Counting Intersecting Weighted Pairs of Lattice Paths Using Transforms of Operators (pdf) Extended version of Congr. Numerantium 102 (1994), pp. 161-173
With Germain Kreweras: Solution of an enumerative problem connected with lattice paths (pdf) Europ. J. Combinatorics (1981) 2, pp. 55 - 60
An Enumeration Problem and Some Consequences (pdf) Congr. Numer. 33 (1981), pp. 261-273
Sheffer Polynomials and Linear Recurrences (pdf) Congr. Numer. 29 (1980), pp. 689-698
Sheffer Polynomials in Path Enumeration (pdf) Proc. West Coast Conf. Combinatorics, Graph Theory, and Computing, (1979), pp. 281-294
Lattice Paths with Three Step Directions (pdf) Proc. 10th S-E Conf. Combinatorics, Graph Theory, and Computing, (1979), pp. 753-774

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Last modified July 19, 2001.