8 citations · 15 across the 6 of their papers we have counts for
5 papers · 1 filter
On the Hawkes Process with Different Exciting Functions
Behzad Mehrdad, Lingjiong Zhu
The Hawkes process is a simple point process, whose intensity function depends on the entire past history and is self-exciting and has the clustering property. The Hawkes process i…
Trees in Random Sparse Graphs with a Given Degree Sequence
Behzad Mehrdad
Let be the set of graphs with , and the degree sequence equal to . In addition, for $\frac{1}{2}…
Moderate and Large Deviations for the Erdős-Kac Theorem
Behzad Mehrdad, Lingjiong Zhu
The Erdős-Kac theorem is a celebrated result in number theory which says that the number of distinct prime factors of a uniformly chosen random integer satisfies a central limit th…
Limit Theorems for Empirical Density of Greatest Common Divisors
Behzad Mehrdad, Lingjiong Zhu
The law of large numbers for the empirical density for the pairs of uniformly distributed integers with a given greatest common divisor is a classic result in number theory. In thi…
The Speed of a Biased Walk on a Galton-Watson Tree without Leaves is Monotonic with Respect to Progeny Distributions for High Values of Bias
Behzad Mehrdad, Sanchayan Sen, Lingjiong Zhu
Consider biased random walks on two Galton-Watson trees without leaves having progeny distributions and (GW and GW) where and are supported on…