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Time-Like Graphical Models (Memoirs of the American Mathematical Society)

Probability & Statistics

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Description

About the Author Tvrtko Tadic, University of Washington, Seattle, Washington, and University of Zagreb, Croatia. Product Description The 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. The author extends the notion of time-like graphs and finds properties of processes indexed by them. In particular, the author solves the conjecture of uniqueness of the distribution for the process indexed by graphs with infinite number of vertices.The author provides a new result showing the stochastic heat equation as a limit of the sequence of natural Brownian motions on time-like graphs. In addition, the author's treatment of time-like graphical models reveals connections to Markov random fields, martingales indexed by directed sets and branching Markov processes.

Product Specifications

Format: paperback
ASIN: 147043685X
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Probability & Statistics
Domain: Amazon UK
Release Date: 30 October 2019
Listed Since: 23 July 2019

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Time-Like Graphical Models (Memoirs of the American Mathematical Society)

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