Defines shifted R-polynomials for weighted Bruhat path counting in Coxeter groups, proves a new irregularity criterion for lower intervals, and bounds the polynomials by Jacobsthal numbers.
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Weighted counting of Bruhat paths by shifted $R$-polynomials
Defines shifted R-polynomials for weighted Bruhat path counting in Coxeter groups, proves a new irregularity criterion for lower intervals, and bounds the polynomials by Jacobsthal numbers.