E. Brown

collaborators

2 papers

math.CO2020

Unimodality of the Expectation of Betti Numbers for Bernoulli Random Quota Complexes

Erin R. Crossen Brown

We study certain random simplicial complexes, called random quota complexes. A quota complex on $N + 1$ weighted vertices is constructed by adding an $n$ -simplex if the sum of the we…

math.PR2019

Random gap processes and asymptotically complete sequences

Erin Crossen Brown, Sevak Mkrtchyan, Jonathan Pakianathan

We study a process of generating random positive integer weight sequences ${W_{n}}$ where the gaps between the weights ${X_{n} = W_{n} - W_{n - 1}}$ are i.i.d. positive integer-val…