2 papers
physics.acc-ph2026
Analytic Derivation of Vertical Chromaticity in the Fermilab Muon Storage Ring
Eremey Valetov, Kyoko Makino, Martin Berz
We derive the vertical chromaticity of the Fermilab Muon g-2 storage ring in closed analytic form. Expanding the Hamiltonian as a Taylor polynomial in the dynamical variable…
math.DS2025
Rigorous lower bounds for the domains of definition of extended generating functions
B. Erdelyi, J. Hoefkens, M. Berz
The recently developed theory of extended generating functions of symplectic maps are combined with methods to prove invertibility via high-order Taylor model methods to obtain rig…