A NN-branching random walk with random selection

We consider an exactly solvable model of branching random walk with random selection, which describes the evolution of a population with $N$ individuals on the real line. At each time step, every individual reproduces independently, and its offspring are positioned around its current locations. Among all children, $N$ individuals are sampled at random without replacement to form the next generation, such that an individual at position $x$ is chosen with probability proportional to $\mathrm{e}^{\beta x}$. We compute the asymptotic speed and the genealogical behavior of the system

High Entropy Random Selection Protocols

In this paper, we construct protocols for two parties that do not trust each other, to generate random variables with high Shannon entropy. We improve known bounds for the trade off between the number of rounds, length of communication and the entropy of the outcome

Does Private Tutoring Payoff?

We assess the causal effect of private tutoring on the probability of university placement in Turkey. We find that tutoring increases the probability of being placed in a university when non-random selection is ignored. Moreover, among those utilizing private tutoring, greater expenditure on tutoring is also positively associated with university placement. However, we find evidence of positive selection into tutoring, but negative selection into greater expenditures among those receiving tutoring. Accounting for this pattern of non-random selection, we conclude that private tutoring has a negative causal effect on university placement overall, but conditional on receiving any tutoring, spending more on tutoring has a positive causal effect on university placement.tutoring, Turkey, tertiary education, program evaluation