We provide elementary proofs of several results concerning the possible outcomes arising from a fixed profile within the class of positional voting systems. Our arguments enable a simple and explicit ...
We study the small time path behavior of double stochastic integrals of the form $\int_{0}^{t} (\int_{0}^{r} b(u) dW(u))^{T} dW(r)$, where W is a d-dimensional Brownian motion and b is an integrable ...
Random walks serve as fundamental models in the study of stochastic processes, simulating phenomena ranging from molecular diffusion to queuing networks and financial systems. Their inherent ...