טכניון מכון טכנולוגי לישראל
הטכניון מכון טכנולוגי לישראל - בית הספר ללימודי מוסמכים  
M.Sc Thesis
M.Sc StudentKryvoshaev Alexander
SubjectTransient Behavior of Coagulation-Fragmentation
Processes
DepartmentDepartment of Applied Mathematics
Supervisor Mr. Boris Granovsky


Abstract

The research is devoted to the study of the transient behavior of stochastic processes of pure coagulation and of pure fragmentation, and is a continuation of the Part 3 of Ph.D. thesis of Michael Erlihson under the supervision of Professor Boris L. Granovsky.The following progress was attained. It was  obtained a characterization of  rates of  pure coagulation processes  with  the gibbsian time evolution and it was  suggested  a combinatorial  approach for the study of transient behaviour  of  processes of  pure coagulation and pure fragmentation .

In particular the pure fragmentation version of the Becker-Doring process was studied.

We derive explicit solutions for a wide class of rates and initial conditions for the processes considered.