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Asymptotic expansion of the invariant measure for ballistic random walk in the low disorder regime
(2015)
We consider a random walk in random environment in the low disorder regime on Zd. That is, the probability that the random walk jumps from a site x to a nearest neighboring site x+e is given by p(e)+ǫξ(x,e), where p(e) is ...
On the one dimensional spectral Heat content for stable processes
(2016-09)
This paper provides the second term in the small time asymptotic expansion of the
spectral heat content of a rotationally invariant α-stable process, 0 < α ≤ 2, for the
bounded interval (a, b). The small time behavior ...
Propuesta didáctica para la docencia universitaria de las ecuaciones polinomiales
Didactical proposal for teaching polynomial equations at university level
(2017)
En este artículo contiene los principales resultados obtenidos a partir del diseño, aplicación y evaluación de una propuesta didáctica para la enseñanza de las ecuaciones polinomiales, la cual se desarrolló durante el mes ...
Propuesta de un curso teórico – práctico para la formación inicial de profesores de matemáticas: posible entorno de aprendizaje
(2016-06)
En este artículo se describe la propuesta de un curso teórico-práctico como un entorno de
aprendizaje para la formación inicial de profesores de matemática para educación secundaria.
Este curso se implementó en el 2015 ...
The Gromov’s centralizer theorem for semisimple Lie group actions
(2017-10)
We give a new version of the Gromov’s centralizer theorem in the case
of semisimple Lie group actions and arbitrary rigid geometric structures of algebraic
type.
On the Ramanujan–Lodge harmonic number expansion
(2015-01-15)
The aim of this paper is to extend and refine the Ramanujan–Lodge harmonic number expansion into negative powers of a triangular number. We construct a faster asymptotic series and some new sharp inequalities for the ...
Stratifications on the Moduli Space of Higgs Bundles
(2016-11-02)
The moduli space of Higgs bundles has two stratifications. The Bia lynickiBirula stratification comes from the action of the non-zero complex numbers by multiplication on the Higgs field, and the Shatz stratification arises ...
The Error in an Alternating Series
(2018-03)
We present a new proof of Johnsonbaugh’s estimates for the error in an alternating series based on an idea of R. M. Young. We also use this same idea to prove the convergence of the Euler transform and a corresponding error ...
A two-level overlapping Schwarz method for H(curl) in two dimensions with irregular subdomains
(2015-10-07)
A bound is obtained for the condition number of a two-level overlapping Schwarz algorithm for problems posed in H(curl) in two dimensions, where the subdomains are only assumed to be John subdomains. The coarse space is ...
An adaptive choice of primal constrains for BDDC domain decomposition algorithms
(2016-12-12)
An adaptive choice for primal spaces based on parallel sums is developed for BDDC deluxe methods and elliptic problems in three dimensions. The primal space, which forms the global, coarse part of the domain decomposition ...