39 citations · 168 across the 22 of their papers we have counts for
23 papers
Limit Shape of the Generalized Inverse Gaussian-Poisson Distribution
Leonid V. Bogachev, Ruheyan Nuermaimaiti, Jochen Voss
The generalized inverse Gaussian-Poisson (GIGP) distribution proposed by Sichel in the 1970s has proved to be a flexible fitting tool for diverse frequency data, collectively descr…
The joint node degree distribution in the Erdős-Rényi network
Boshra Alarfaj, Charles Taylor, Leonid Bogachev
The Erdős-Rényi random graph is the simplest model for node degree distribution, and it is one of the most widely studied. In this model, pairs of vertices are selected and con…
Boltzmann Distribution on "Short" Integer Partitions with Power Parts: Limit Laws and Sampling
Jean C. Peyen, Leonid V. Bogachev, Paul P. Martin
The paper is concerned with the asymptotic analysis of a family of Boltzmann (multiplicative) distributions over the set of strict integer partitions (i.e.…
On the uniqueness of Gibbs measure in the Potts model on a Cayley tree with external field
Leonid V. Bogachev, Utkir A. Rozikov
The paper concerns the -state Potts model (i.e., with spin values in ) on a Cayley tree of degree (i.e., with edges emanating from…
Optimal Stopping and Utility in a Simple Model of Unemployment Insurance
Jason S. Anquandah, Leonid V. Bogachev
Managing unemployment is one of the key issues in social policies. Unemployment insurance schemes are designed to cushion the financial and morale blow of loss of job but also to e…
Limit shape of minimal difference partitions and fractional statistics
Leonid V. Bogachev, Yuri V. Yakubovich
The class of minimal difference partitions MDP() (with gap ) is defined by the condition that successive parts in an integer partition differ from one another by at least $q\…