BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Raffaele Grande (Czech Academy of Sciences\, Institute of Informat ion Theory and Automation) DTSTART:20231023T134000Z DTEND:20231023T151000Z DTSTAMP:20260405T175311Z UID:NSCM/122 DESCRIPTION:Title: S tochastic control problems and a convergence result for horizontal mean cu rvature flow\nby Raffaele Grande (Czech Academy of Sciences\, Institut e of Information Theory and Automation) as part of Nečas Seminar on Conti nuum Mechanics\n\nLecture held in Room K3\, Faculty of Mathematics and Ph ysics\, Charles University\, Sokolovská 83 Prague 8..\n\nAbstract\nThe e volution by horizontal mean curvature flow was broadly studied for its app lications in neurogeometry and in image processing (e.g. Citti-Sarti model ). It represents the contracting evolution of a hypersurface embedded in a particular geometrical setting\, called sub-Riemannian geometry\, in whic h only some curves (called horizontal curves) are admissible by definition . This may lead to the existence of some points of the hypersurface\, call ed characteristic\, in which is not possible to define the so-called horiz ontal normal. To avoid this problem\, it is possible to use the notion of Riemannian approximation of a sub-Riemannian geometry applied to the horiz ontal mean curvature flow.\n\nI will show the connection between the evolu tion of a generic hypersurface in this setting and the associated stochast ic optimal control problem. Then\, I will show some results of asymptotic optimal controls in the Heisenberg group and use them to show later a conv ergence result between the solutions of the approximated mean curvature fl ow and the horizontal ones. This is from some joint works with N. Dirr and F. Dragoni.\n LOCATION:https://researchseminars.org/talk/NSCM/122/ END:VEVENT END:VCALENDAR