{"product_id":"limiting-behavior-of-interacting-particle-systems-von-matteo-ortisi","title":"Limiting Behavior of Interacting Particle Systems","description":"\u003cp\u003eThis book, addressed to researchers and students  interested in interacting particle systems, is a  study on the application of a law of large numbers  and stability criteria to understand the asymptotic  behavior of particle systems. The aim is to investigate the limiting behavior of a  stochastic interacting particle system  both as the size of the population N grows to  infinity,being the time t fixed,and t grows to  infinity,being N fixed. The limiting behavior as the  size N grows to infinity is achieved as a law of  large numbers for the empirical process associated  with the interacting particle system,while the long  time behavior is characterized in terms of the  convergence of the particle distribution to an  invariant distribution. By applying the same  criterion for the convergence to the invariant  measure to the continuum time version of the Minority  Game, an upper bound for the asymptotic  behavior of the waiting time for reaching the  stationary state is obtained.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783843392686\"\u003e\u003ch3\u003ewith application to Minority Game\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783843392686","offer_id":40217790349405,"sku":"9783843392686","price":49.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/8671c690-63c3-4ee7-913e-8b6c434588e2.jpg?v=1757655445","url":"https:\/\/shop.autorenwelt.de\/en\/products\/limiting-behavior-of-interacting-particle-systems-von-matteo-ortisi","provider":"Autorenwelt Shop","version":"1.0","type":"link"}