Scholarly Works - Pure Mathematics and Mathematical Statistics
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(Institute of Mathematical Statistics, 2019-04-01)We consider the statistical inverse problem of recovering a function $f: M \to \mathbb R$, where $M$ is a smooth compact Riemannian manifold with boundary, from measurements of general $X$-ray transforms $I_a(f)$ of ...
(2019-06-15)Let p be a prime number. In this article we study the restriction to Sn−1 of irreducible characters of degree coprime to p of Sn. In particular, we study the combinatorial properties of the subgraph Yp′ of the Young graph Y.
Coupling the Gaussian Free Fields with Free and with Zero Boundary Conditions via Common Level Lines (Springer Nature, 2018-07-01)We point out a new simple way to couple the Gaussian free field (GFF) with free boundary conditions in a two-dimensional domain with the GFF with zero boundary conditions in the same domain: Starting from the latter, one ...