We are calculating the expectation and variance of the number of leaves in the scale-free network model suggested in [CL06]. Afterwards, we prove a Law of Large Numbers and a Central Limit Theorem for the number of leaves using the Martingale Central Limit Theorem. Finally, we check our results by simulation
AbstractCalls arrive in a Poisson stream on a symmetric network constituted of N links of capacity C...
Recently, it became apparent that a large number of the most interesting structures and phenomena of...
Corrected for typos and clarifications 23 pages, 7 figuresIn this paper, we establish a quenched inv...
Real-world networks tend to be scale free, having heavy-tailed degree distributions with more hubs t...
Stochastic SIR-type epidemic processes on random graphs are a special class of interaction network...
Under the unifying umbrella of a general result of Penrose & Yukich [Ann. Appl. Probab., (2003) 13, ...
Consider the following modification of the Barabási–Albert random graph. At every step a new vertex...
In this book, we study random graphs as models for real-world networks. Since 1999, many real-world ...
We describe a class of one-dimensional chain binomial models of use in studying metapopulations (pop...
Non UBCUnreviewedAuthor affiliation: University of Modena and Reggio EmiliaFacult
In this paper we started by explaining what a Markov chain is. After this we defined some key concep...
In many real-world networks, such as the Internet and social networks, power-law degree sequences ha...
Stochastic convergence, law of large numbers and central limit theorem is an important part of proba...
We model the transmission of information of a message on the Erdös-Rény random graph with paramete...
Recently there has been much interest in studying large-scale real-world net-works and attempting to...
AbstractCalls arrive in a Poisson stream on a symmetric network constituted of N links of capacity C...
Recently, it became apparent that a large number of the most interesting structures and phenomena of...
Corrected for typos and clarifications 23 pages, 7 figuresIn this paper, we establish a quenched inv...
Real-world networks tend to be scale free, having heavy-tailed degree distributions with more hubs t...
Stochastic SIR-type epidemic processes on random graphs are a special class of interaction network...
Under the unifying umbrella of a general result of Penrose & Yukich [Ann. Appl. Probab., (2003) 13, ...
Consider the following modification of the Barabási–Albert random graph. At every step a new vertex...
In this book, we study random graphs as models for real-world networks. Since 1999, many real-world ...
We describe a class of one-dimensional chain binomial models of use in studying metapopulations (pop...
Non UBCUnreviewedAuthor affiliation: University of Modena and Reggio EmiliaFacult
In this paper we started by explaining what a Markov chain is. After this we defined some key concep...
In many real-world networks, such as the Internet and social networks, power-law degree sequences ha...
Stochastic convergence, law of large numbers and central limit theorem is an important part of proba...
We model the transmission of information of a message on the Erdös-Rény random graph with paramete...
Recently there has been much interest in studying large-scale real-world net-works and attempting to...
AbstractCalls arrive in a Poisson stream on a symmetric network constituted of N links of capacity C...
Recently, it became apparent that a large number of the most interesting structures and phenomena of...
Corrected for typos and clarifications 23 pages, 7 figuresIn this paper, we establish a quenched inv...