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X-WR-CALNAME:CMM
X-WR-CALDESC:Centro de Modelamiento Matemático
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DTSTART:20260819T213702
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DTSTART;TZID=America/Santiago:20260820T161000
DTEND;TZID=America/Santiago:20260820T180000
DTSTAMP:20260817T161736Z
CREATED:20260817
LAST-MODIFIED:20260817
PRIORITY:5
SEQUENCE:1
TRANSP:OPAQUE
SUMMARY:Inverse Problems and Control Theory “(In)Stability Results for The Light-Ray Transform”
DESCRIPTION:Abstract:  In Lorentzian geometry, the light-ray transform is the operator that integrates functions over lightlike geodesics. It appears naturally in the study of wave equations, geometric scattering rigidity, and inverse problems. In this talk, I will discuss some work in progress with L. Busch and L. Oksanen, about the stability of this operator. First, I will present an instability result: the modulus of continuity cannot be smaller than certain polynomial. This can be upgraded to a logarithmic bound in the Gevrey category. Secondly, on stationary geometries, I will show how to obtain a stability result for moments of order k, using moments of the light-ray transform from 0 to k.\nSpeaker: Sebastián Muñoz Thon, Université Paris-Saclay\n
URL:https://www.cmm.uchile.cl/events/inverse-problems-and-control-theory-instability-results-for-the-light-ray-transform/
ORGANIZER;CN=CMM:MAILTO:
CATEGORIES:Seminarios
LOCATION:Auditorio Ninoslav Bralic (junto a la Facultad de Matemáticas), Campus San Joaquín, Pontificia Universidad Católica de Chile.
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