3 papers
math.CO2026
Inversion monotonicity in subclasses of the 1324-avoiders
Anders Claesson, Svante Linusson, Henning Ulfarsson +1
A collection of patterns is called inversion monotone if , the number of -avoiding permutations of length with inversions, is weakly increasing i…
math.CO2025
The -Plancherel measure and a Finite Markov Chain
Svante Linusson, Alperen Ãzdemir
Let denote the set of partitions of whose largest part is bounded by which are in well-known bijection with -cores . We study a gr…
math.PR2025
The bunkbed problem and the random cluster model
Arvind Ayyer, Svante Linusson, Mohan Ravichandran
The well known bunkbed conjecture about percolation on finite graphs is now resolved; Gladkov, Pak and Zimin, building upon work of Hollom, have constructed a counterexample. We re…