Spectral gaps and error estimates for infinite-dimensional Metropolis-Hastings with non-Gaussian priors

We study a class of Metropolis-Hastings algorithms for target measures that are absolutely continuous with respect to a large class of non-Gaussian prior measures on Banach spaces. The algorithm is shown to have a spectral gap in a Wasserstein-like semimetric weighted by a Lyapunov function. A number of error bounds are given for computationally tractable approximations of the algorithm including bounds on the closeness of Ces\'{a}ro averages and other pathwise quantities via perturbation theory. Several applications illustrate the breadth of problems to which the results apply such as discretization by Galerkin-type projections and approximate simulation of the proposal

The Impact of Gender Roles, Political Environments, and Social Environments on Women Activists in Peru from the mid-1800s to the mid-1900s

Going back into the colonial era, and certainly post-independence, women in Peru were discussing their political and civil rights, and questioning not only their status, but the status of workers, indigenous people, and those in poverty. In fact, within the handful of names that have appeared as well-known Peruvian women activists, they all concentrated on class as well as gender, and incorporated race in terms of indigeneity as well. In doing so, the women involved in working for increased equality created or joined different organizations over time. What led women to join one group versus another, and were there groups with staying power that lasted long enough to gather a large base? It seems that any momentum may have been difficult to sustain, but each manifestation of the women’s movement influenced that which came after. Throughout this work, gender roles, political environments, and social environments impacted how women sought to affect their legal and social rights, and their successes