30 citations · 128 across the 25 of their papers we have counts for
5 papers · 1 filter
The feasible regions for consecutive patterns of pattern-avoiding permutations
Jacopo Borga, Raul Penaguiao
We study the feasible region for consecutive patterns of pattern-avoiding permutations. More precisely, given a family of permutations avoiding a fixed set of patterns…
Scaling and local limits of Baxter permutations and bipolar orientations through coalescent-walk processes
Jacopo Borga, Mickaël Maazoun
Baxter permutations, plane bipolar orientations, and a specific family of walks in the non-negative quadrant, called tandem walks, are well-known to be related to each other throug…
The feasible region for consecutive patterns of permutations is a cycle polytope
Jacopo Borga, Raul Penaguiao
We study proportions of consecutive occurrences of permutations of a given size. Specifically, the feasible limits of such proportions on large permutations form a region, called f…
Scaling and local limits of Baxter permutations through coalescent-walk processes
Jacopo Borga, Mickaël Maazoun
Baxter permutations, plane bipolar orientations, and a specific family of walks in the non-negative quadrant are well-known to be related to each other through several bijections.…
Asymptotic normality of consecutive patterns in permutations encoded by generating trees with one-dimensional labels
Jacopo Borga
We consider uniform random permutations drawn from a family enumerated through generating trees. We develop a new general technique to establish a central limit theorem for the num…