… This model can be seen as an intermediate model between Dyck paths and our lattice
paths with catastrophes; we investigated it in our series of articles Banderier, Bousquet-Mélou, …

… Skew Dyck paths are like Dyck paths, but an additional south-west step (-1, -1) is allowed,
provided that the path does not intersect itself. Lattice paths with catastrophes can drop from …

… and is related to the description of algebraic singularities (catastrophes). To obtain the NLSM
of (ii… Section 4 presents an introduction to singularity (catastrophe) theory; the discussion is …

… lattice paths with catastrophes… paths are probably the most famous example of lattice paths
and will occur at several occasions throughout this thesis. As we will see later on, Dyck paths …

… Considering these notations, a Motzkin meander with catastrophes is a lattice path where …
property that the path ends on the x-axis, we call it a Motzkin excursion with catastrophes (see […

… catastrophes. The extension of the probabilistic methodologies for analyzing models with
binomial catastrophes … For more involved models the latticepath combinatorics approach using …

… and variable catastrophe/windfall probabilities are determined using lattice path
combinatorics. … The ruin probabilities (in infinite-time) for a system having variable win/loss/catastrophe …

… Another generalization of Dyck paths related to catastrophes was considered in [10], where
… of lattice paths called directed lattice paths [17]. A directed lattice path is a lattice path in the …

… In the long version of this paper, we will study lattice paths with alternative catastrophes
in more detail, as well as more statistics between them and stacked directed animals. …

… catastrophes … lattice paths with catastrophes. The very recent papers [4,5] contain some
bijective aspects. Our own paper [9] investigates the situation in the context of skew Dyck paths. …