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UID:news1620@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20240326T111142
DTSTART;TZID=Europe/Zurich:20240411T161500
SUMMARY:Perlen-Colloquium: Prof. Roman Shvydkoy (University of Illinois at 
 Chicago) 
DESCRIPTION:Emergence is a phenomenon of formation of collective outcomes i
 n systems where communication between agents has local range. For a wide 
 range of applications\, such as swarming behavior of animals or exchange o
 f opinions between individuals\, such outcomes result in a globally aligne
 d state or congregation of aligned clusters. The classical result of Cucke
 r and Smale states that alignment is unconditional in groups that facilita
 te global interactions with non-integrable radial tails. Proving a similar
  statement for purely local interactions is a challenging mathematical pro
 blem. There have been several programs of research directed  towards unde
 rstanding the emergent phenomena on micro\, kinetic\, and macro levels of 
 description. In this talk we will mostly focus on the kinetic approach and
  demonstrate its connection with the classical problem of relaxation for 
 non-perturbative data.
X-ALT-DESC:<p>Emergence is a phenomenon of formation of collective outcomes
  in systems where communication between agents has local&nbsp\;range. For 
 a wide range of applications\, such as swarming behavior of animals or exc
 hange of opinions between individuals\, such outcomes result in a globally
  aligned state or congregation of aligned clusters. The classical result o
 f Cucker and Smale states that alignment is unconditional in groups that f
 acilitate global interactions with non-integrable radial tails. Proving a 
 similar statement for purely local interactions is a challenging mathemati
 cal problem. There have been several programs of research directed&nbsp\; 
 towards understanding the emergent phenomena on micro\, kinetic\, and macr
 o levels of description. In this talk we will mostly focus on the kinetic 
 approach and demonstrate&nbsp\;its connection with the classical problem o
 f relaxation for non-perturbative data.</p>
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