St. Stephan's Cathedral in the City of Vienna
picture from vienna slide (c)

4th International Conference on
Lattice Paths Combinatorics and Applications

Third Announcement

July 8-10, 1998
University of Vienna, Vienna, Austria

This conference is dedicated to the memory of
G. Kreweras and T.V. Narayana


Note: registration is still possible! Please see the first announcement and the second announcement of the conference for further information.


PRELIMINARY PROGRAM


July 8th (Wednesday)


08:00 - 08:45 Registration
08:45 - 09:15 Welcome and Inauguration
09:15 - 10:00 Coffee Break



Enumeration - I Session

Chair: Sri Gopal Mohanty (McMaster University, Canada)

10:00 - 10:25 Planar walks with recursive initial conditions
Heinrich Niederhausen (Florida Atlantic University, USA)
10:35 - 11:00 New results on the enumeration of rhombus tilings and nonintersecting lattice paths
Christian Krattenthaler (Universität Wien, Austria)
11:10 - 11:35 A bijective perimeter enumeration of directed convex polyominoes
Svjetlan Feretic (University of Zagreb, Croatia)
11:45 - 12:10 Moments of level numbers of leaves in binary trees
Alois Panholzer* and Helmut Prodinger
(Technische Universität Wien, Austria)
12:10 - 14:00 Lunch Break



Random Walks - I Session

Chair: Helmut Prodinger (Technische Universität Wien, Austria)

14:00 - 14:25 Some results for the two-dimensional random walk
Endre Csaki (Hungarian Academy of Sciences, Hungary)
14:35 - 15:00 Lattice paths and the one-night stand model
Anthony J. Guttmann* and Markus Vöge
(University of Melbourne, Australia)
15:10 - 15:35 On some joint distributions in fluctuations of sums of random variables
Jagdish Saran (University of Delhi, India)
15:35 - 16:00 Coffee Break



Enumeration - II Session

Chair: Robert A. Sulanke (Boise State University, USA)

16:00 - 16:25 The rook numbers of Ferrers boards and the related restricted permutation numbers
Charalambos A. Charalambides (University of Athens, Greece)
16:35 - 17:00 Ballot sequences in data compression and creating order
Ulrich Tamm (Universität Bielefeld, Germany)
19:30 - ?? Heurigenabend in Nussdorf



July 9th (Thursday)


Probability Theory - Session

Chair: Kanwar Sen (University of Delhi, India)

09:00 - 09:25 On the number of appearances of a word in a sequence of i.i.d trials
Ourania Chrysaphinou*, Stavros Papastavridis and
Eutichia Vaggelatou (University of Athens, Greece)
09:35 - 10:00 The probability of reaching head to tail ratios for balanced and unbalanced coins
Tamas Lengyel (Occidental College Los Angeles, USA)
10:10 - 10:35 The exact distribution of the distance between two random points in a cube and approximations by means of lattices
Serge B. Provost (University of Western Ontario, Canada)
10:35 - 11:00 Coffee Break



Discrete Distributions - Session

Chair: Charalambos A. Charalambides (University of Athens, Greece)

11:00 - 11:25 The generalized negative multinomial distribution of i-th order and its properties
Kutribas Dutta (Sambalpur University, India)
11:35 - 12:00 On a class of multivariate discrete distributions induced by an urn scheme and linear diophantine equations related to it
Mikhail S. Nikulin (Universite Bordeaux 2, France) and
Vassily G. Voinov* (Institute for Pure and Applied Mathematics, Kazakhstan)
12:00 - 14:00 Lunch Break



q-Calculus and Orthogonal Polynomials - Session

Chair: Endre Csaki (Hungarian Academy of Sciences, Hungary)

14:00 - 14:25 Aspects of Bailey-Daum and other q-series distributions
Adrienne W. (Freda) Kemp* and C. David Kemp
(University of St. Andrews, Scotland)
14:35 - 15:00 A joint absorption-Mahonian process and some related q-identities
Don Rawlings (California Polytechnic State University, San Luis Obispo, USA)
15:10 - 15:35 Central and local limit theorems for the coefficients of the associated Laguerre polynomials
A. Kyriakoussis* and M.G. Vamvakari
(University of Athens, Greece)
15:35 - 16:00 Coffee Break and Poster Session (see below)



Random Walks II - Session

Chair: Anthony J. Guttmann (University of Melbourne, Australia)

16:00 - 16:25 Extensions of gambler's ruin with even odds. Multinomial and other models
Milton Sobel* (University of California, Santa Barbara, USA) and
Krzysztof Frankowski (University of Minnesota, Minneapolis, USA)
16:35 - 17:00 On the height of simple random walks
Walter Katzenbeisser and Wolfgang Panny*
(Wirtschaftsuniversität Wien, Austria)
20:00 - ?? Cocktail-Party at Rathauskeller, City Hall of Vienna



July 10th (Friday)


Enumeration III - Session

Chair: Heinrich Niederhausen (Florida Atlantic University, USA)

09:00 - 09:25 A topography of Catalonia via Narayana statistics
Robert A. Sulanke (Boise State University, Boise, USA)
09:35 - 10:00 Occupancy urn models in analysis of algorithms
Daniele Gardy (Lab. PRiSM, University of Versailles, St-Quentin, France)
10:10 - 10:35 Lagrange statistics on Dyke paths
Donatella Merlini, Renzo Sprugnoli* and M. Cecilia Verri
(Universita Degli Studi Di Firenze, Italy)
10:35 - 11:00 Coffee Break



Enumeration IV - Session

Chair: Christian Krattenthaler (Universität Wien, Austria))

11:00 - 11:25 The equivalence between enumerating cyclically symmetric, self-complementary and totally symmetric, self-complementary plane partitions
Mihai Ciucu (Institute for Advanced Study, Princeton, USA)
11:35 - 12:00 q-difference equations and representation of symmetric group
Thomas Ernst (Uppsala University, Sweden) and
Sergei Silvestrov* (Royal Institute of Technology, Sweden)
12:00 - 14:00 Lunch Break



Queueing Theory I - Session

Chair: Vassily Voinov (Almaty, Kazakhstan))

14:00 - 14:25 The distribution of the number of customers served during a busy period of GI/M/1/N queues - a lattice path approach
Manju Agarwal (University of Delhi, India)
14:35 - 15:00 Transient probabilities of M/M/1 preemptive priority queues
Alan Krinik, Dan Marcus and Ray Shiflett*
(California State Polytechnic University, Pomona, USA)
15:00 - 15:30 Coffee Break



Queueing Theory II - Session

Chair: Ulrich Tamm (Universität Bielefeld, Germany))

15:30 - 15:55 Lattice path approach to transient analysis of M/G/1/W non-markovian queues using Cox distributions
Kanwar Sen (University of Delhi, India)
16:10 - 16:35 Transient solution of markovian models - a probabilistic approach
Joti L. Jain (University of Delhi, India)
16:45 - 17:00 Concluding Remarks




Poster - Session

The following papers will be presented as posters:

Sum of powers from uniform distribution moments
Larry Ericksen (Cornell University, USA)
Estimation of M/G/c/c queues
M.L. Huang* (Brock University, Ontario, Canada) and
P.H. Brill (University of Windsor, Ontario, Canada)
The area under a random increasing lattice polygon
Kevin Wald (University of Chicago, USA) and
Anant Godbole* (Michigan Tech University, USA)


The posters will be presented during the whole conference. However, the official poster session will be on thursday afternoon with opportunity for discussions during the coffee break.

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