Manfred Buchacher

most citedQuadrant Walks Starting Outside the Quadrant

1 citations · 1 across the 1 of their papers we have counts for

collaborators

4 papers

math.CO2020★ 1 cited

Quadrant Walks Starting Outside the Quadrant

Manfred Buchacher, Manuel Kauers, Amelie Trotignon

We investigate a functional equation which resembles the functional equation for the generating function of a lattice walk model for the quarter plane. The interesting feature of t…

math.CO2020

Walks with Small Steps in the 4D-Orthant

Manfred Buchacher, Sophie Hofmanninger, Manuel Kauers

We provide some first experimental data about generating functions of restricted lattice walks with small steps in NN^4.

cs.SC2020

Separating Variables in Bivariate Polynomial Ideals

Manfred Buchacher, Manuel Kauers, Gleb Pogudin

We present an algorithm which for any given ideal $I \subseteq K [x, y]$ finds all elements of $I$ that have the form $f (x) - g (y)$ , i.e., all elements in which no monomial i…

math.CO2018

Inhomogeneous Restricted Lattice Walks

Manfred Buchacher, Manuel Kauers

We consider inhomogeneous lattice walk models in a half-space and in the quarter plane. For the models in a half-space, we show by a generalization of the kernel method to linear s…