Now showing items 1-9 of 9

    • Conditions for uniqueness of limit Gibbs states 

      Şahin, Mehmet Arafat (Bilkent University, 1998)
      In this work we studied the problem of phase transitions in one-dirnensional models with unique ground state. A model ha\dng two spins, one ground state and exhibiting phase transition is constructed.
    • Critical probabilities of percolation on graphs and random trees 

      Kaya, Merve (Bilkent University, 2014)
      We consider the model of independent percolation on various graphs and random trees. We investigate the critical probabilities of bond and site percolation on these graphs.
    • Investigation of homogeneous and inhomogeneous percolation models in two dimensions 

      Şensoy, Ahmet (Bilkent University, 2007)
      In this thesis, we consider some models of percolation in two dimensional spaces. We study some numerical equalities and inequalities for the critical probability, together with a general method for establishing strict ...
    • Limiting Gibbs measures in some one and two dimensional models 

      Tülü, Serdar (Bilkent University, 2005)
      We give the definitions of finite volume Gibbs measure and limit Gibbs states. In one dimensional Ising model with arbitrary boundary conditions we calculate correlation functions in explicit way. In one dimension, ...
    • Limiting Gibbs measures of some models of classical statistical mechanics 

      Ünal, Deniz (Bilkent University, 2002)
      We consider some models of classical statistical mechanics with their random perturbations and investigate the phase diagrams of this models. By using uniqueness theorem we prove the absence of phase transitions in this models.
    • Non-stationary Markov chains 

      Mallak, Saed (Bilkent University, 1996)
      In thi.s work, we studierl the Ergodicilv of Non-Stationary .Markov chains. We gave several e.xainples with different cases. We proved that given a sec[uence of Markov chains such that the limit of this sec|uence is an ...
    • On Gambler's ruin problem in some models 

      Sevim, Çiğdem (Bilkent University, 2005)
      2-player probability games is an important subject of probability theory. In this thesis, we considered four different two-player probability games. We calculated the expected value of stopping times of the games. Since ...
    • Oscillation properties of stopped random walks on infinite tress 

      Öner, Abdullah (Bilkent University, 2014)
      We investigate a random walk on a branching tree with vertices labeled 1; 2; : : : ; r which terminates if two consecutive vertices of a walk are labeled with close numbers. It is proved that expected absorption times ...
    • Stochastic analysis of short-rate modeling: which approach yields a better fit to data? 

      Bulut, Mustafa (Bilkent University, 2017-10)
      This thesis investigates the extent to which the two of the most common onefactor short-rate models are able to describe the market behavior of risk free Turkish treasuries for the post-2005 period. The investigated ...