This volume contains the proceedings of the Second Workshop of Mexican Mathematicians Abroad (II Reunion de Matematicos Mexicanos en el Mundo), held from December 15-19, 2014, at Centro de Investigacion en Matematicas (CIMAT) in Guanajuato, Mexico.
This meeting was the second in a series of ongoing biannual meetings aimed at showcasing the research of Mexican mathematicians based outside of Mexico.
The book features articles drawn from eight broad research areas: algebra, analysis, applied mathematics, combinatorics, dynamical systems, geometry, probability theory, and topology. Their topics range from novel applications of non-commutative probability to graph theory, to interactions between dynamical systems and geophysical flows.
Several articles survey the fields and problems on which the authors work, highlighting research lines currently underrepresented in Mexico. The research-oriented articles provide either alternative approaches to well-known problems or new advances in active research fields. The wide selection of topics makes the book accessible to advanced graduate students and researchers in mathematics from different fields.
This book is published in cooperation with Sociedad Matematica Mexicana.
O. Arizmendi and O. Juarez-Romero, On bounds for the energy of graphs
and digraphs
P. Carrillo Rouse, The Atiyah-Singer cobordism invariance and the tangent
groupoid
C. Gonzalez-Tokman, Multiplicative ergodic theorems for transfer operators:
Towards the identification and analysis of coherent structures in
non-autonomous dynamical systems
R. Jimenez Rolland and J. Maya Duque, Representation stability for the pure
cactus group
V. Kleptsyn and A. Rechtman, Two proofs of Taubes' theorem on strictly
ergodic flows
H. Lange and A. Ortega, The fibres of the Prym map of etale cyclic coverings
of degree 7
C. Lozano Huerta, Extremal higher codimension cycles of the space of complete
conics
C. Meneses, On Shimura's isomorphism and $(\Gamma,G)$-bundles on the
upper-half plane
M. Torres, On the dual of $BV$
C. Vargas, A general solution to (free) deterministic equivalents.
Fernando Galaz-Garcia, Karlsruher Institut Fur Technologie, Germany.
Juan Carlos Pardo Millan, Centro de Investigacion en Matematicas, Guanajuato, Mexico.
Pedro Solorzano, Instituto de Matematicas-Oaxaca, UNAM, Oaxaco, Mexico.
