3 papers
cond-mat.stat-mech2025
Closed-form survival probabilities for biased random walks at arbitrary step number
Debendro Mookerjee, Sarah Kostinski
We present a closed-form expression for the survival probability of a biased random walker to first reach a target site on a 1D lattice. The expression holds for any step number $N…
stat.ME2025
Least Squares as Random Walks
Alexander Kostinski, Glenn Ierley, Sarah Kostinski
Linear least squares (LLS) is perhaps the most common method of data analysis, dating back to Legendre, Gauss and Laplace. Framed as linear regression, LLS is also a backbone of ma…
cond-mat.stat-mech2024
Exact closed-form recurrence probabilities for biased random walks at any step number
Debendro Mookerjee, Sarah Kostinski
We report on a closed-form expression for the survival probability of a discrete 1D biased random walk to not return to its origin after N steps. Our expression is exact for any N,…