3-5 August 2022
Universität Klagenfurt
Europe/Vienna timezone

Applying monoid duality to interacting particle systems

5 Aug 2022, 10:00
HS 3 ( Universität Klagenfurt)

HS 3

Universität Klagenfurt

Talk Stochastics Session A6 Stochastics


In the study of interacting particle systems duality is an important
tool used to prove various types of long-time behavior, for example convergence to an invariant distribution. The two most used types of dualities
are additive and cancellative dualities, which we are able to treat in a unified framework considering commutative monoids (i.e.\ semigroups containing a neutral element) as cornerstones of such a duality. For interacting particle systems on local state spaces with more than two elements this approach revealed formerly unknown dualities.

As an application of one of the newly found dualities a convergence result of a combination of the \emph{contact process} and its cancellative version, formerly known as the \emph{annihilating branching process}, is presented.

Primary author

Jan Niklas Latz (Czech Academy of Sciences & Charles University)

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