Markov chain

Wednesday, June 20, 2018 - 1:30pm - 2:30pm
Johannes Zimmer (University of Bath)
We study particle systems and analyse their fluctuations. These fluctuations can be described by stochastic differential equations or variational formulations related to large deviations. The link between finite systems and their many-particle limit will be analysed in this formulation, and this scaling limit will be compared to classic ones.
Monday, June 11, 2018 - 2:00pm - 2:30pm
David Prager (Anderson University)
Stock loans involve two parties: a borrower and a lender. The borrower owns one share of stock and obtains a loan from the lender using the share of stock as collateral. At maturity, the borrower must choose between 1) repaying the lender the principal plus interest to regain the stock and 2) defaulting on the loan and surrendering the stock. Most classical work on stock loan valuation used Brownian motion-based stock models, but recently Markov chain models have gained in popularity.
Wednesday, June 6, 2018 - 10:00am - 10:50am
Linda Allen (Texas Tech University)
Public health prevention, intervention, and control strategies are designed to prevent the occurrence of an epidemic, to shorten the course of an epidemic, or to reduce the number of cases. To prevent an epidemic, the goal is often to decrease the basic reproduction number R0 to a value below the critical threshold of one. In emerging and re-emerging diseases, differences in host susceptibility and infectivity make it more difficult to assess how intervention and control strategies affect R0, and the probability and duration of an epidemic.
Thursday, October 22, 2015 - 3:15pm - 4:05pm
Babak Hassibi (California Institute of Technology)
Epidemic models have been extensively studied since a first mathematical formulation was introduced in 1927 by Kermack and McKendrick. Though initially proposed to understand the spread of contagious diseases, the study of epidemics applies to many other areas, such as network security, viral advertising, and information propagation. Questions of interest include the existence of fixed-points, stability (does the epidemic die out), transient behavior, the cost of an epidemic, how best to control an epidemic, etc.
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