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UID:DSC-16007
DTSTART;TZID=Europe/Berlin:20190619T170000
SEQUENCE:1560851858
TRANSP:OPAQUE
DTEND;TZID=Europe/Berlin:20190619T180000
URL:https://dresden-science-calendar.de/calendar/de/detail/16007
LOCATION:TUD Willers-Bau\, Zellescher Weg 12-1401069 Dresden
SUMMARY:Lifshits: Coding of Poisson random sets: large derivations
CLASS:PUBLIC
DESCRIPTION:Speaker: Prof. Mikhail A. Lifshits\nInstitute of Speaker: St. P
 etersburg State Univerity\, Russland\nTopics:\nMathematik\n Location:\n  N
 ame: TUD Willers-Bau ((WIL B 321))\n  Street: Zellescher Weg 12-14\n  City
 : 01069 Dresden\n  Phone: \n  Fax: \nDescription: Consider a random set (o
 r \"picture\") in the unit cube of d-dimensional Euclidean space  as  a  u
 nion of  balls  centered at  points  of  a  Poissonian random field  and  
 having  i.i.d.  radii.  Let  K  be  the  minimal  number  of balls needed 
 to reproduce the picture.We  study  large  deviation  probabilities  for  
 K  and  prove  in  some  cases that for large n ln P( K > n) − A n ln n 
 where the constant A may explicitly depend  on  dimension\,  on  the  dist
 ribution  of  radii\,  and  on  the  norm under consideration. In many cas
 es the problem of finding the value of A remains open although some upper 
 and lower bounds are available.           This  asymptotics  has  natural 
  corollaries  in  high  dimensional quantization problems.    <br /><br />
 <a href=\"https://tu-dresden.de/mn/math/die-fachrichtung/veranstaltungen/d
 ms\">Dresdner Mathematisches Seminar</a><br /><br />
DTSTAMP:20260505T144857Z
CREATED:20190507T105223Z
LAST-MODIFIED:20190618T095738Z
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