328 citations · 419 across the 13 of their papers we have counts for
15 papers
Adsorption of Lattice Polymers with Quenched Topologies
Neal Madras
We introduce a framework for adsorption of a single polymer in which the topology of the polymer is quenched before adsorption, in contrast to more standard adsorption models havin…
Bounded affine permutations II. Avoidance of decreasing patterns
Neal Madras, Justin M. Troyka
We continue our study of a new boundedness condition for affine permutations, motivated by the fruitful concept of periodic boundary conditions in statistical physics. We focus on…
epidemic dynamics and adaptive vaccination strategy: renewal equation approach
Aubain Nzokem, Neal Madras
We use analytical methods to investigate a continuous vaccination strategy effects on the infectious disease dynamics in a closed population and a demographically open population.…
Bounded affine permutations I. Pattern avoidance and enumeration
Neal Madras, Justin M. Troyka
We introduce a new boundedness condition for affine permutations, motivated by the fruitful concept of periodic boundary conditions in statistical physics. We study pattern avoidan…
Directed polymers on a disordered tree with a defect subtree
Neal Madras, Gökhan Yıldırım
We study the question of how the competition between and a affects the macroscopic behavior of a system in the dire…
Longest monotone subsequences and rare regions of pattern-avoiding permutations
Neal Madras, Gökhan Yıldırım
We consider the distributions of the lengths of the longest monotone and alternating subsequences in classes of permutations of size that avoid a specific pattern or set of pat…