Seminars on Stability Problems for Stochastic Models have a long tradition. They were started by Prof. Vladimir Zolotarev in the 1970’s. The seminars are attended by leading probabilists from all over the world. The Seminars traditionally aim at bringing together people from Eastern and Western parts of Europe to share their expertise, new results, exchange the ideas and discuss open problems. In this century Seminars took place in Hungary, Bulgaria, Spain, Latvia, Italy, Israel, Romania, Poland, Norway and Russia.