23 citations · 50 across the 16 of their papers we have counts for
19 papers
The Complete Crouzeix Conjecture in Dimension Three and the Clouâtre-Ostermann-Ransford conjecture
Per Åhag, Rafał Czyż, Jani Virtanen
We settle the complete Crouzeix conjecture for matrices of order at most three and prove the Q-algebra case of the completely bounded Clouâtre--Ostermann--Ransford (COR) conjecture…
PolyNODE: Variable-dimension Neural ODEs on M-polyfolds
Per Åhag, Alexander Friedrich, Fredrik Ohlsson +1
Neural ordinary differential equations (NODEs) are geometric deep learning models based on dynamical systems and flows generated by vector fields on manifolds. Despite numerous suc…
Kiselman Minimum Principle and Rooftop Envelopes in Complex Hessian Equations
Per Åhag, Rafał Czyż, Chinh H. Lu +1
We initiate the study of -subharmonic functions with respect to a semipositive -form in Euclidean domains, providing a significant element in understanding geodesics with…
Geodesic connectivity and rooftop envelopes in the Cegrell classes
Per Åhag, Rafał Czyż, Chinh H. Lu +1
This study examines geodesics and plurisubharmonic envelopes within the Cegrell classes on bounded hyperconvex domains in . We establish that solutions possessing com…
Explicit Solutions in Isotropic Planar Elastostatics
Andreas Granath, Per Åhag, Antti Perälä +1
Addressing the intricate challenges in plane elasticity, especially with non-vanishing traction and complex geometries, requires innovative methods. This paper offers a novel appro…
On the regularity of the complex Hessian equation
Per Ahag, Rafal Czyz
This note aims to investigate the regularity of a solution to the Dirichlet problem for the complex Hessian equation, which has a density of the -Hessian measure that belongs to…