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DTSTART;TZID=Europe/Berlin:20260508T150000
DTEND;TZID=Europe/Berlin:20260508T150000
DTSTAMP:20260503T183955
CREATED:20260426T173058Z
LAST-MODIFIED:20260426T173125Z
UID:10000138-1778252400-1778252400@www.trr352.de
SUMMARY:Limit processes for KPZ models with flat initial conditions (Probability Colloquium Augsburg-Munich)
DESCRIPTION:We consider stochastic growth models in the Kardar-Parisi-Zhang universality class\, like the asymmetric simple exclusion process or the last passage percolation. We will give an overview of older and recent results on the limit process and its properties for KPZ growth models with flat initial conditions\, ranging from regularity\, decorrelation in space and time\, to the persistence probability of the limit processes.
URL:http://www.trr352.de/event/limit-processes-for-kpz-models-with-flat-initial-conditions-probability-colloquium-augsburg-munich/
LOCATION:University of Augsburg\, Room 2004 (L1)\, Universitätsstraße 14\, Augsburg\, 86159
CATEGORIES:Talks
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DTSTART;TZID=Europe/Berlin:20260508T163000
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DTSTAMP:20260503T183955
CREATED:20260426T173257Z
LAST-MODIFIED:20260426T173257Z
UID:10000139-1778257800-1778257800@www.trr352.de
SUMMARY:Mixing times of liftings of the Totally Asymmetric Simple Exclusion Process (Probability Colloquium Augsburg-Munich)
DESCRIPTION:Under suitable assumptions\, a Markov chain will converge at large times to its stationary measure\, over a time scale known as the mixing time. Markov chains can then be used to approximately sample from a complex distribution\, which is the principle underlying Markov Chain Monte Carlo techniques. In this context\, there has been strong interest both in the physics and the mathematics literature in lifting Markov chains\, which is a way to modify an initial Markov chain so that that the lifted Markov chain converges faster to its stationary measure. We study a particle system which is both a lifting of the TASEP (Totally Asymmetric Simple Exclusion Process) and a periodic instance of self-repelling random walks. Using a graphical representation\, we identify a coupling time with some delay\, which allows us to study two notions of mixing times of the model. For the standard notion of mixing time\, we show that the model does not converge abruptly to stationarity\, whereas for a mixing time associated with an average of the distribution over the last few steps\, convergence to stationarity is abrupt\, which is known as the cutoff phenomenon.
URL:http://www.trr352.de/event/mixing-times-of-liftings-of-the-totally-asymmetric-simple-exclusion-process-probability-colloquium-augsburg-munich/
LOCATION:University of Augsburg\, Room 2004 (L1)\, Universitätsstraße 14\, Augsburg\, 86159
CATEGORIES:Talks
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