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SUMMARY:Applying monoid duality to interacting particle systems
DTSTART;VALUE=DATE-TIME:20220805T080000Z
DTEND;VALUE=DATE-TIME:20220805T082000Z
DTSTAMP;VALUE=DATE-TIME:20231210T050207Z
UID:indico-contribution-202-1213@conference2.aau.at
DESCRIPTION:In the study of interacting particle systems duality is an imp
ortant\ntool used to prove various types of long-time behavior\, for examp
le convergence to an invariant distribution. The two most used types of du
alities\nare additive and cancellative dualities\, which we are able to tr
eat in a unified framework considering commutative monoids (i.e.\\ semigro
ups containing a neutral element) as cornerstones of such a duality. For i
nteracting particle systems on local state spaces with more than two eleme
nts this approach revealed formerly unknown dualities. \n\nAs an applicati
on of one of the newly found dualities a convergence result of a combinati
on of the \\emph{contact process} and its cancellative version\, formerly
known as the \\emph{annihilating branching process}\, is presented.\n\nhtt
ps://conference2.aau.at/event/131/contributions/1213/
LOCATION: Universität Klagenfurt HS 3
URL:https://conference2.aau.at/event/131/contributions/1213/
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BEGIN:VEVENT
SUMMARY:Quantifying the almost sure uniform convergence of eigenvalue-coun
ting functions
DTSTART;VALUE=DATE-TIME:20220805T073000Z
DTEND;VALUE=DATE-TIME:20220805T075000Z
DTSTAMP;VALUE=DATE-TIME:20231210T050207Z
UID:indico-contribution-202-1198@conference2.aau.at
DESCRIPTION:This talk will introduce the concept of almost-additive functi
ons on lattices with the special case of eigenvalue-counting functions of
random Schrödinger operators and showcase how they can be used in conjunc
tion with some results from empirical process theory to find explicit erro
r estimates for their convergence to the integrated density of states. Thi
s talk is based on joint work with Christoph Schumacher\, Fabian Schwarzen
berger and Ivan Veselić.\n\nhttps://conference2.aau.at/event/131/contribu
tions/1198/
LOCATION: Universität Klagenfurt HS 3
URL:https://conference2.aau.at/event/131/contributions/1198/
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BEGIN:VEVENT
SUMMARY:Parabolic Fractal Geometry
DTSTART;VALUE=DATE-TIME:20220805T070000Z
DTEND;VALUE=DATE-TIME:20220805T072000Z
DTSTAMP;VALUE=DATE-TIME:20231210T050207Z
UID:indico-contribution-202-1210@conference2.aau.at
DESCRIPTION:The parabolic fractal geometry inheres a certain non-linear sc
aling between time and space. It is useful to determine the Hausdorff dime
nsion of self-similar stochastic processes plus deterministic drift functi
on in terms of the drift function alone. An explicit formula for the Hausd
orff dimension of isotropic stable Lévy processes plus drift will be pres
ented.\n\nhttps://conference2.aau.at/event/131/contributions/1210/
LOCATION: Universität Klagenfurt HS 3
URL:https://conference2.aau.at/event/131/contributions/1210/
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