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BEGIN:VEVENT
UID:news1137@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20210223T225158
DTSTART;TZID=Europe/Zurich:20210303T141500
SUMMARY:Seminar Analysis and Mathematical Physics: Peter Pickl (LMU Münche
 n)
DESCRIPTION:Abstract: The derivation of effective descriptions from microsc
 opic      dynamics is a very vivid area in mathematical physics. In 
 the talk I      will discuss a system of many particles with Newtoni
 an time evolution      that are subject to interaction. It is well k
 nown that in the weak      coupling limit this system converges\, un
 der smoothness assumption on      the interaction force\, to a solut
 ion of the Vlasov equation.    Weakening the types of convergence (con
 vergence for all initial      conditions -> convergence in probabili
 ty -> convergence in      distribution) the smoothness condition on 
 the interaction can be      generalized. In the talk I will present 
 recent results in this      direction and explain\, which types of c
 onvergence hold/do not hold      under the different assumptions on 
 the interaction force.
X-ALT-DESC:<p>Abstract: The derivation of effective descriptions from micro
 scopic&nbsp\;&nbsp\;&nbsp\;&nbsp\;&nbsp\;&nbsp\;dynamics is a very vivid a
 rea in mathematical physics. In the talk I&nbsp\;&nbsp\;&nbsp\;&nbsp\;&nbs
 p\;&nbsp\;will discuss a system of many particles with Newtonian time evol
 ution&nbsp\;&nbsp\;&nbsp\;&nbsp\;&nbsp\;&nbsp\;that are subject to interac
 tion. It is well known that in the weak&nbsp\;&nbsp\;&nbsp\;&nbsp\;&nbsp\;
 &nbsp\;coupling limit this system converges\, under smoothness assumption 
 on&nbsp\;&nbsp\;&nbsp\;&nbsp\;&nbsp\;&nbsp\;the interaction force\, to a s
 olution of the Vlasov equation.&nbsp\;&nbsp\;&nbsp\;&nbsp\;Weakening the t
 ypes of convergence (convergence for all initial&nbsp\;&nbsp\;&nbsp\;&nbsp
 \;&nbsp\;&nbsp\;conditions -&gt\; convergence in probability -&gt\; conver
 gence in&nbsp\;&nbsp\;&nbsp\;&nbsp\;&nbsp\;&nbsp\;distribution) the smooth
 ness condition on the interaction can be&nbsp\;&nbsp\;&nbsp\;&nbsp\;&nbsp\
 ;&nbsp\;generalized. In the talk I will present recent results in this&nbs
 p\;&nbsp\;&nbsp\;&nbsp\;&nbsp\;&nbsp\;direction and explain\, which types 
 of convergence hold/do not hold&nbsp\;&nbsp\;&nbsp\;&nbsp\;&nbsp\;&nbsp\;u
 nder the different assumptions on the interaction force. </p>
DTEND;TZID=Europe/Zurich:20210303T161500
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