781 citations
- Austrian Academy of SciencesAT15 papers
- Institute for Quantum Optics and Quantum Information InnsbruckAT8 papers
- Centre National de la Recherche ScientifiqueFR7 papers
- KU LeuvenBE5 papers
- Institute of AstronomyRU4 papers
- Institute of MathematicsPL4 papers
- Ludwig-Maximilians-Universität MünchenDE4 papers
- TU WienAT4 papers
- Universität InnsbruckAT4 papers
- University of ÉvoraPT4 papers
- University of LeedsGB4 papers
- University of WürzburgDE4 papers
6 papers · 1 filter
A new proof of the refined alternating sign matrix theorem
Ilse Fischer
In the early 1980s, Mills, Robbins and Rumsey conjectured, and in 1996 Zeilberger proved a simple product formula for the number of alternating sign matrices with a 1…
The number of monotone triangles with prescribed bottom row
Ilse Fischer
We show that the number of monotone triangles with prescribed bottom row (k_1,...,k_n) is given by a simple product formula which remarkably involves (shift) operators. Monotone tr…
(-1)-enumeration of self-complementary plane partitions
Theresia Eisenkölbl
We prove a product formula for the remaining cases of the weighted enumeration of self-complementary plane partitions contained in a given box where adding one half of an orbit of…
Another refinement of the Bender-Knuth (ex-)Conjecture
Ilse Fischer
We compute the generating function of column-strict plane partitions with parts in {1,2,...,n}, at most c columns, p rows of odd length and k parts equal to n. This refines both, K…
A method for proving polynomial enumeration formulas
Ilse Fischer
We present an elementary method for proving enumeration formulas which are polynomials in certain parameters if others are fixed and factorize into distinct linear factors over Z.…
Asymptotics of the transition probabilities of the simple random walk on self-similar graphs
Bernhard Krön, Elmar Teufl
It is shown explicitly how self-similar graphs can be obtained as `blow-up' constructions of finite cell graphs . This yields a larger family of graphs than the graphs obta…