We establish cutoff for a natural random walk (RW) on the set of perfect matchings (PMs), based “rewiring”. An n-PM is pairing 2n objects. The k-PM RW selects k pairs uniformly at random, disassociates corresponding 2k objects, then chooses new these objects random. equilibrium distribution uniform over all n-PMs. 2-PM was first introduced by Diaconis and Holmes (Proc. Natl. Acad. Sci. USA 95 (...

Abstract This paper studies the mixing behavior of Asymmetric Simple Exclusion Process (ASEP) on a segment length N . Our main result is that for particle densities in (0, 1), total-variation cutoff window ASEP $$N^{1/3}$$ N 1 / 3 </mml:...

Bedrock river-gorge incision represents a fundamental landscape-shaping process, but dearth of observational data at &amp;gt;10 yr timescales impedes understanding gorge formation. I quantify 102 rates and processes using historical records, field observations, topographic image analysis human-caused bedrock meander cutoff along the North Fork Fortymile River in Alaska (USA). Miners cut off 190...

ABSTRACT Objective The objective of the present study was to propose cutoff points neck circumference for predicting overweight in Brazilian children. Methods We conducted a cross-sectional with 875 children from public schools Brazil. Weight, height, and were measured. Nutritional status risk complications assessed based on values body mass index circumference. Receiver operating characteristi...