Recent Submissions

  • Threshold phenomena in random graphs 

    Redón Orriols, Nil (Universitat Politècnica de Catalunya, 2019-07)
    Bachelor thesis
    Open Access
    In the 1950s, random graphs appeared for the first time in a result of the prolific hungarian mathematician Pál Erd\H{o}s. Since then, interest in random graph theory has only grown up until now. In its first stages, the ...
  • Distributed locomotion of 2-D lattice-based modular robotic systems 

    Salvador Nomen, Xavier (Universitat Politècnica de Catalunya, 2019-07)
    Bachelor thesis
    Open Access
    In this thesis we have solved the two-dimensional problem of locomotion of modular robots on square lattices in the presence of obstacles of arbitrary forms, for the class of modular robots that follow the model of movement ...
  • Green functions of the damped wave equation and applications 

    Nualart Batalla, Marc (Universitat Politècnica de Catalunya, 2019-07)
    Bachelor thesis
    Open Access
    This work presents some results on the Green Functions of the Damped Wave Equation. We exhibit its fundamental solution and we study it. This fundamental solution allows us to obtain the solution of the initial value problem ...
  • Continous random trees 

    Ganjour, Dmitri (Universitat Politècnica de Catalunya, 2019-07)
    Bachelor thesis
    Open Access
    The Brownian motion has played an important role in the development of probability theory and stochastic processes. We are going to see that it appears in the limiting process of several discrete processes. In particular, ...
  • Mock modular forms 

    Tomàs i Salamaña, Andreu (Universitat Politècnica de Catalunya, 2019-07)
    Bachelor thesis
    Open Access
    En aquest treball estudiem la recent teoria de les formes modulars de mock i en veiem algunes aplicacions.
  • La conjectura de Sato-Tate 

    Altarriba Fatsini, Marta (Universitat Politècnica de Catalunya, 2019-07)
    Bachelor thesis
    Open Access
    L'objectiu d'aquest treball és, per una banda, formular la conjectura de Sato-Tate per a corbes el·líptiques i explicar algunes de les eines que intervenen a la seva demostració. Per altra banda, es pretén estudiar ...
  • Equivalència de Morita 

    Galve Regolf, Sergi (Universitat Politècnica de Catalunya, 2019-07)
    Bachelor thesis
    Open Access
    L'estudi de la teoria d'anells està intimament lligada a l'anàlisi de les categories de mòduls sobre un anell. En particular, bona part de l'àlgebra homològica depèn exclusivament de la categoria de mòduls sobre R. El ...
  • Estudi de models de neurociència amb eines de sistemes dinàmics 

    Amado Vicente, Enric (Universitat Politècnica de Catalunya, 2019-05)
    Bachelor thesis
    Open Access
    He estudiat el treball fet per uns investigadors dins del camp dels sistemes dinàmics aplicats a la neurociència. Explicant detalladament com van obtindre les equacions que descriuen el comportament de dos variables ...
  • Gènesi del concepte de compacitat (1895 – 1925) 

    Moreno Montes, Júlia (Universitat Politècnica de Catalunya, 2019-05)
    Bachelor thesis
    Open Access
    L objectiu principal d aquest treball és l estudi de l evolució i l assentament de la definició d espai compacte. Partirem de l anàlisi de les propietats dels intervals de la recta real, principalment del treball de Borel, ...
  • Stability of intracellular calcium in cardiac myocytes 

    Torres Garcia, Montserrat (Universitat Politècnica de Catalunya, 2019-05)
    Bachelor thesis
    Open Access
    The relationship between alternations in cardiac contractions, known as alternans, and the dynamics of intracellular calcium has been proven in several studies. In this paper, we will study a simple model two-variable model ...
  • An algebraic fractal approach to Collatz Conjecture 

    Martín Chabrera, Víctor (Universitat Politècnica de Catalunya, 2019-05)
    Bachelor thesis
    Open Access
    The Collatz conjecture is one of the most easy-to-state unsolved problems in Mathematics today. It states that after a finite number of iterations of the Collatz function, defined by C(n) = n/2 if n is even, and by C(n) = ...
  • Shannon capacity and the Lovász Theta function 

    Salar Gavagnach, Francesc (Universitat Politècnica de Catalunya, 2019-05)
    Bachelor thesis
    Open Access
    This thesis focuses on the study of two graph parameters known as the Shannon capacity and the Lovász number. The first was introduced by Claude Elwood Shannon on \cite{shannon} and describes the maximum rate at which ...

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