BEGIN:VCALENDAR VERSION:2.0 METHOD:PUBLISH PRODID:-//Missouri State University/Calendar of Events//EN CALSCALE:GREGORIAN X-WR-TIMEZONE:America/Chicago BEGIN:VTIMEZONE TZID:America/Chicago BEGIN:DAYLIGHT TZOFFSETFROM:-0600 TZOFFSETTO:-0500 DTSTART:20070311T020000 RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=2SU TZNAME:CDT END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:-0500 TZOFFSETTO:-0600 DTSTART:20071104T020000 RRULE:FREQ=YEARLY;BYMONTH=11;BYDAY=1SU TZNAME:CST END:STANDARD END:VTIMEZONE BEGIN:VEVENT UID:75066212-bcec-4fb1-a1b0-f2b581516d24.205403@calendar.missouristate.edu CREATED:20200127T160851Z LAST-MODIFIED:20200127T160851Z LOCATION:Cheek Hall 202 SUMMARY:Mathematics Colloquium: Geometric Averaging Operators and Point Co nfigurations DESCRIPTION:Finding and understanding patterns in data sets is of signific ant importance in many applications.  One example of a simple pattern is the distance between data points\, which can be thought of as a 2-point c onfiguration.  Two classic questions\, the Erdos distinct distance proble m\, which asks about the least number of distinct distances determined by N points in the plane\, and its continuous analog\, the Falconer distanc e problem\, explore that simple pattern.  When studying the continuous an alogues geometric averaging operators\, such as the spherical averaging o perator\, arise naturally.  Questions similar to the Erdos distinct dista nce problem and the Falconer distance problem can also be posed for more complicated patterns such as triangles\, which can be viewed as 3-point c onfigurations.  In this talk Dr. Palsson will give a brief introduction t o the motivating point configuration questions and then report on some no vel geometric averaging operators and their mapping properties.  X-ALT-DESC;FMTTYPE=text/html:<html><head><title></title></head><body><p>Fi nding and understanding patterns in data sets is of significant importanc e in many applications.&nbsp\; One example of a simple pattern is the dis tance between data points\, which can be thought of as a 2-point configur ation.&nbsp\; Two classic questions\, the Erdos distinct distance problem \, which asks about the least number of distinct distances determined by N points in the plane\, and its continuous analog\, the Falconer distance problem\, explore that simple pattern.&nbsp\; When studying the continuo us analogues geometric averaging operators\, such as the spherical averag ing operator\, arise naturally.&nbsp\; Questions similar to the Erdos dis tinct distance problem and the Falconer distance problem can also be pose d for more complicated patterns such as triangles\, which can be viewed a s 3-point configurations.&nbsp\; In this talk Dr. Palsson will give a bri ef introduction to the motivating point configuration questions and then report on some novel geometric averaging operators and their mapping prop erties.&nbsp\;</p></body></html> DTSTART;TZID=America/Chicago:20200128T153000 DTEND;TZID=America/Chicago:20200128T163000 SEQUENCE:0 URL:https://math.missouristate.edu/ CATEGORIES:Current Students,Faculty,Staff END:VEVENT END:VCALENDAR