### Recent Submissions

• #### Nori fundamental gerbe of essentially finite covers and Galois closure of towers of torsors ﻿

(2019)
We prove the existence of a Galois closure for towers of torsors under finite group schemes over a proper, geometrically connected and geometrically reduced algebraic stack X over a field k. This is done by describing the ...
• #### Models of torsors and the fundamental group scheme ﻿

(2018)
Given a relative faithfully at pointed scheme over the spectrum of a discrete valuation ring X !S, this paper is motivated by the study of the natural morphism from the fundamental group scheme of the generic ber X ...
• #### Analiticity of the Lyapunov exponents of random products of quasi-periodic cocycles ﻿

(2021-11-01)
We show that the top Lyapunov exponent LE(p) associated with a random product of quasi-periodic cocycles depends real analytically on the transition probabilities p whenever LE(p) is simple. Moreover if the spectrum at ...
• #### Equilibrium states for maps isotopic to Anosov ﻿

(2021)
In this work we address the problem of existence and uniqueness (finiteness) of ergodic equilibrium states for partially hyperbolic diffeomorphisms isotopic to Anosov on T4, with two-dimensional center foliation. To do so ...
• #### Sparse bounds for the discrete spherical maximal functions ﻿

(2020)
We prove sparse bounds for the spherical maximal operator of Magyar, Stein and Wainger. The bounds are conjecturally sharp, and contain an endpoint estimate. The new method of proof is inspired by ones by Bourgain and ...
• #### Minimum depth of double cross product extensions ﻿

(2020)
In this paper we explore minimum odd and minimum even depth sub- algebra pairs in the context of double cross products of finite dimensional Hopf algebras. We start by defining factorization algebras and outline how subring ...
• #### Lyapunov exponents of probability distributions with non-compact support ﻿

(2020)
A recent result of Bocker–Viana asserts that the Lyapunov exponents of compactly supported probability distributions in GL(2, R) depend continuously on the distribution. We investigate the general, possibly concompact ...
• #### Extension of torsors and prime to p fundamental group scheme ﻿

(2020)
Let R be a discrete valuation ring with fraction field K. Let X be a proper and faithfully flat R-scheme, endowed with a section x∈X(R), with connected and reduced generic fibre Xη. Let f:Y→Xη be a finite Nori-reduced ...
• #### Semimartingales on Duals of Nuclear Spaces ﻿

(2020-03-26)
This work is devoted to the study of semimartingales on the dual of a general nuclear space. We start by establishing conditions for a cylindrical semimartingale in the strong dual Φ′ of a nuclear space Φ to have a Φ′-valued ...
• #### Sur l’existence du schéma en groupes fondamental ﻿

(2020-06-06)
Soient S un schéma de Dedekind, X un S-schéma connexe localement de type ni et x 2 X(S) une section. L’objet du présent papier est d’établir l’existence du schéma en groupes fondamental de X lorsque X est à bres réduites ...
• #### Erratum for “Heights of vector bundles and the fundamental group scheme of a curve” ﻿

(2020-10-08)
Corrección de datos publicados en “Heights of vector bundles and the fundamental group scheme of a curve”
• #### Regularization of cylindrical processes in locally convex Spaces ﻿

(2020-12-15)
Let Φ be a locally convex space and let Φ′ denote its strong dual. In this paper, we introduce sufficient conditions for the existence of a continuous or a càdlàg Φ′-valued version to a cylindrical process defined on Φ′. ...
• #### Local divisibility and model completeness of a theory of real closed rings ﻿

(2021-01)
Let T∗ be the theory of lattice-ordered rings convex in von Neumann regular real closed f-rings, without minimal idempotents (non zero) that are divisible-projectable and sc-regular. I introduce a binary relation describing ...
• #### Clustering via ant colonies: Parameter analysis and improvement of the algorithm ﻿

(2020-04-18)
An ant colony optimization approach for partitioning a set of objects is proposed. In order to minimize the intra-variance, or within sum-of-squares, of the partitioned classes, we construct ant-like solutions by a ...
• #### Teorías y propiedades universales de una teoría de anillos real cerrados (Informe Final Proyecto B9128) ﻿

(2021)
Sea $T^\ast$ la teor\'{\i}a de los subanillos reticulados que son convexos en los $f$-anillos von Neumann regulares real cerrados, y que adem\'as no tienen elementos idempotentes minimales (no-cero) y que son divisible-p ...
• #### Theta series and number fields: theorems and experiments ﻿

(2021-03-01)
Let d and n be positive integers and let K be a totally real number field of discriminant d and degree n. We construct a theta series $\theta_K \in \mathcal{M}_{d, n}$ where $\mathcal{M}_{d, n}$ is a space of modular forms ...
• #### Stark units and special Gamma values ﻿

(2021)
In this paper we develop an effective procedure for expressing Stark units in real quadratic extensions of totally real fields as values of the Barnes multiple Gamma function at algebraic points. This procedure is used to ...
• #### A numerical implementation for the high-order 2D Virtual Element Method in MATLAB ﻿

(2021)
We present a numerical implementation for the Virtual Element Method that in- corporates high order spaces. We include all the required computations in order to assemble the stiffness and mass matrices, and right hand ...
• #### Diseño de fórmulas integrales ﻿

(1992)
Presentamos una nueva metodología de diseño de fórmulas integrales que no utiliza explícitamente sumas de Riemann ni procesos de límite. El método consiste en partir de un modelo elemental con solución conocida, e interpretar ...
• #### Integral y primitivas de Riemann ﻿

(1991)
Hacemos un breve estudio de una generalización de la noción de primitiva, que se corresponde exactamente con la integral de Riemann. Obtenemos una caracterización de la integrabilidad en el sentido de Riemann, que produce ...