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  1. (, Inverse Problems)
    Abstract We consider an MP -system, that is, a compact Riemannian manifold with boundary, endowed with a magnetic field and a potential. On simple MP -systems, we study the MP -ray transform in order to obtain new boundary rigidity results for MP -systems. We show that there is an explicit relation between the MP -ray transform and the magnetic one, which allows us to apply results from Dairbekovet al(2007Adv. Math.216535–609) to our case. Regarding rigidity, we show that there exists a generic set G m of simple MP -systems, which is open and dense, such that any two MP -systems close to an element in it and having the same boundary action function, must bek-gauge equivalent. 
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  2. (, The Journal of Geometric Analysis)
    Free, publicly-accessible full text available September 1, 2025
  3. ; (, SIAM Journal on Mathematical Analysis)
    Full Text Available 
  4. ; (, SIAM Journal on Mathematical Analysis)