{"product_id":"timelike-graphical-models-9781470436858","title":"TimeLike Graphical Models","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThe author studies continuous processes indexed by a special family of graphs. Processes indexed by vertices of graphs are known as probabilistic graphical models. In 2011, Burdzy and Pal proposed a continuous version of graphical models indexed by graphs with an embedded time structure - so-called time-like graphs.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003eIntroduction\u003c\/li\u003e\n\u003cli\u003ePart 1. Construction and properties: Geometry of time-like graphs\u003c\/li\u003e\n\u003cli\u003eProcesses indexed by time-like graphs\u003c\/li\u003e\n\u003cli\u003eMarkov properties of processes indexed by TLG's\u003c\/li\u003e\n\u003cli\u003eFiltrations, martingales and stopping times\u003c\/li\u003e\n\u003cli\u003ePart 2. Natural Brownian motion and the stochastic heat equation: Maximums of Gaussian processes \u003c\/li\u003e\n\u003cli\u003eRandom walk and stochastic heat equation reviewed\u003c\/li\u003e\n\u003cli\u003eLimit of the natural Brownian motion on a rhombus grid\u003c\/li\u003e\n\u003cli\u003ePart 3. Processes on general and random time-like graphs: Non-simple TLG's\u003c\/li\u003e\n\u003cli\u003eProcesses on non-simple TLG's\u003c\/li\u003e\n\u003cli\u003eGalton-Watson time-like trees and the Branching Markov processes\u003c\/li\u003e\n\u003cli\u003eOpen questions and appendix: Open questions\u003c\/li\u003e\n\u003cli\u003eAppendix A. Independence and processes\u003c\/li\u003e\n\u003cli\u003eAcknowledgments\u003c\/li\u003e\n\u003cli\u003eBibliography\u003c\/li\u003e\n\u003cli\u003eIndex.\u003c\/li\u003e\n\u003cli\u003e\u003cul\u003e\u003c\/ul\u003e\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"American Mathematical Society","offers":[{"title":"Default Title","offer_id":49083992211799,"sku":"9781470436858","price":999.99,"currency_code":"GBP","in_stock":false}],"url":"https:\/\/bookcurl.com\/products\/timelike-graphical-models-9781470436858","provider":"Book Curl","version":"1.0","type":"link"}