Evangelicalism as a protestant movement in Latin America causes and consequences

Over the last 100 years, the Evangelical movement has shown an unprecedented capacity for globalization. The authors analyse the causes and consequences of the development of Evangelicalism in Latin America. Based on academic literature analysis, the notion and essence of Evangelicalism as a Protestant movement are revealed. The authors provide classification models of Latin American Evangelical Churches and analyse the number of Evangelical Christians in Latin America. The authors study researchers‟ opinions on the causes and consequences of Evangelical growth in Latin America within the study. It is concluded that the socio-cultural influence of Evangelicalism in Latin America has increased. © 2021, Ecozone, OAIMDD. All rights reserved

Hopf algebras and Markov chains: Two examples and a theory

The operation of squaring (coproduct followed by product) in a combinatorial Hopf algebra is shown to induce a Markov chain in natural bases. Chains constructed in this way include widely studied methods of card shuffling, a natural "rock-breaking" process, and Markov chains on simplicial complexes. Many of these chains can be explictly diagonalized using the primitive elements of the algebra and the combinatorics of the free Lie algebra. For card shuffling, this gives an explicit description of the eigenvectors. For rock-breaking, an explicit description of the quasi-stationary distribution and sharp rates to absorption follow.Comment: 51 pages, 17 figures. (Typographical errors corrected. Further fixes will only appear on the version on Amy Pang's website, the arXiv version will not be updated.