BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Martin Barlow (University of British Columbia\, Canada)
DTSTART:20210316T093000Z
DTEND:20210316T111500Z
DTSTAMP:20260421T175108Z
UID:BPS/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BPS/27/">Har
 nack inequalities - from PDE to random graphs</a>\nby Martin Barlow (Unive
 rsity of British Columbia\, Canada) as part of Bangalore Probability Semin
 ar\n\n\nAbstract\nhttps://www.isibang.ac.in/~statmath/amml20/\n\nA major p
 roblem in PDE\, solved independently in the late 1950s by	    de Giorgi\, 
 Moser and Nash\, was the regularity of solutions to second order divergenc
 e form equations. Moser's approach was to use a Harnack	    inequality\, w
 hich can be understood in probabilistic terms.a	  \n\n	    These PDE metho
 ds are very versatile\, and have been extended to manifolds\,	    general 
 metric spaces\, and graphs. They give continuity results for harmonic func
 tions\, and lead to estimates of the transition density of Markov processe
 s.  	    Of particular importance is the fact that the PDE approach is rob
 ust enough to able to handle small local perturbations of the space.	  \n	
   \n\n These lectures will review this progress\, and will present applica
 tions	    of Harnack inequalities to random walks on random graphs. \n\n \
 n\nDate: March 16th\, 2021\n\n         Lecture  1 	      \n            Tim
 e: 15:00-15:45\, IST	      \n        	    \n        Lecture 2	      \n    
         Time: 16:00-16:45\, IST	      \n        	  \nDate: March 18th\, 20
 21\n\n         Lecture  1 	      \n            Time: 15:00-15:45\, IST	   
    \n        	    \n        Lecture 2	      \n            Time: 16:00-16:4
 5\, IST\n
LOCATION:https://researchseminars.org/talk/BPS/27/
END:VEVENT
END:VCALENDAR