183 citations · 444 across the 28 of their papers we have counts for
35 papers
On the small-step quarter plane lattice walks with a non D-finite univariate generating function
Marni Mishna, Juan Pulido
We report on the status of the conjecture of Bousquet-Mélou and Mishna that the univariate counting generating function of a small-step quarter-plane lattice model is D-finite if a…
Differential transcendence and walks on self-similar graphs
Yakob Kahane, Marni Mishna
Symmetrically self-similar graphs are an important type of fractal graph. Their Green functions satisfy order one iterative functional equations. We show when the branching number…
Uniform Sampling and Visualization of 3D Reluctant Walks
Benjamin Buckley, Marni Mishna
A family of walks confined to the first orthant whose defining stepset has drift outside of the region can be challenging to sample uniformly at random for large lengths. We addres…
Differential equations satisfied by generating functions of 5-, 6-, and 7-regular labelled graphs: a reduction-based approach
Frédéric Chyzak, Marni Mishna
By a classic result of Gessel, the exponential generating functions for -regular graphs are D-finite. Using Gröbner bases in Weyl algebras, we compute the linear differential eq…
Inhomogeneous order 1 iterative functional equations with applications to combinatorics
Lucia Di Vizio, Gwladys Fernandes, Marni Mishna
We show that if a Laurent series satisfies a particular kind of linear iterative equation, then is either a rational function or it is differentially tran…
Estimating and computing Kronecker Coefficients: a vector partition function approach
Marni Mishna, Stefan Trandafir
We study the Kronecker coefficients via a formula that was described by Mishna, Rosas, and Sundaram, in which the coefficients are expressed as a signed sum of vector…