Advisors
Now showing items 19 of 9

Conditions for uniqueness of limit Gibbs states
(Bilkent University, 1998)In this work we studied the problem of phase transitions in onedirnensional 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
(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
(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
(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
(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. 
Nonstationary Markov chains
(Bilkent University, 1996)In thi.s work, we studierl the Ergodicilv of NonStationary .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 secuence is an ... 
On Gambler's ruin problem in some models
(Bilkent University, 2005)2player probability games is an important subject of probability theory. In this thesis, we considered four different twoplayer probability games. We calculated the expected value of stopping times of the games. Since ... 
Oscillation properties of stopped random walks on infinite tress
(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 shortrate modeling: which approach yields a better fit to data?
(Bilkent University, 201710)This thesis investigates the extent to which the two of the most common onefactor shortrate models are able to describe the market behavior of risk free Turkish treasuries for the post2005 period. The investigated ...