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Groups acting on regular rooted trees: congruence subgroup problem and portrait growth
(2017-12-11)
Tesi honek zuhaitz errotu erregularren automorfismoen taldeen inguruko problema batzuk ebaztea du helburu. Talde hauek, Grigorchuk-en lehen taldea konkretuki, 80ko hamarkadan izan ziren lehenengoz definituak (ikus[26]), ...
Enhancing sampling in computational statistics using modified hamiltonians
(2016-11-18)
The Hamiltonian Monte Carlo (HMC) method has been recognized as a powerful sampling tool in computational statistics. In this thesis,we showthat performance ofHMCcan be dramatically improved by replacing Hamiltonians in ...
Equilibrium and transport properties of quantum many-body systems
(2019-10-30)
Equilibrium and Transport Properties of Quantum Many-BodySystemsThis thesis is a study of equilibrium and dynamical properties ofmacroscopic quantum many-body problems. An important part of themanuscript concerns the study ...
On the controllability of Partial Differential Equations involving non-local terms and singular potentials
(2016-12-12)
In this thesis, we investigate controllability and observability properties of Partial Differential Equations describing various phenomena appearing in several fields of the applied sciences such as elasticity theory, ...
Pseudospectral methods and numerical continuation for the analysis os structured population models.
(2016-06-07)
En esta tesis se presentan nuevos métodos numéricos para el análisis de modelos en dinámica de poblaciones. Los métodos aproximan equilibrios y bifurcaciones en una clase de modelos conocidos como modelos de poblaciones ...
Cohomology of uniserial p-adic space groups and Carlson's conjecture
(2016-10-14)
Sea p un número primo y sea F_p el cuerpo finito de p elementos. Sea G un p-grupo de orden p^n y clase de nilpotencia m. Entonces, la coclase de G es c=n-m. En 2005, J.F. Carlson, demuestra que sólo hay un número finito ...
Automorphisms of rooted trees.
(2022-03-24)
Groups acting on p-adic trees have been well studied over the past decades since they represent a source of examples with interesting properties in group theory. Groups with intermediate growth or counterexamples to the ...
From habitat to management: a simulation framework for improving statistical methods in fisheries science
(2021-07-15)
Monte Carlo simulation consists in computer experiments that involve creating data by pseudo-random sampling and has shown to be a powerful tool for studying the performance of statistical methods. In this thesis Monte ...
Non-local regularisations of scalar conservation laws
(2021-10-27)
This thesis focuses on studying equations related to a model problem derived in a Shallow-Waterlimit. These equations are non-local higher-order regularisations of a scalar conservation law with,typically, either a quadratic ...
Geometric Harmonic Analysis. Cp weights, John Nirenberg estimates and Hajlasz capacity density conditions
(2021-12-17)
En esta tesis, se desarrollan varios temas dentro del análisis armónico. El primer tema tiene que ver conlos pesos de clase Cp. Por un lado, estudiamos propiedades intrínsecas de estos pesos, como ladesigualdad débil de ...