3 papers
math.CO2024
Percolating sets and the operad of permutations
Denis Bashkirov
We give an operadic interpretation of the known result of L.Shapiro and A.B.Stephens that characterizes percolating permutation matrices. A relation of ideals and suboperads of the…
math-ph2024
Planar rooted line arrangements and an operad for factorized scattering
Denis Bashkirov
We introduce two topological non- operad structures on planar line arrangements subject to a certain geometric order condition, ensuring a well-defined notion of particle order…
math.RA2024
Lattice operads and operad filtrations
Denis Bashkirov
We elaborate on the notion of a filtration of an operad defined in terms of a lattice-valued operad serving as an indexing object. That covers ordinary integer-indexed filtrations…