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math.PR2026★ 5 cited
Convergence Rates for Semistochastic Processes
James Broda, Alexander Grigo, Nikola P. Petrov
We study processes that consist of deterministic evolution punctuated at random times by disturbances with random severity; we call such processes semistochastic. Under appropriate…
math.DS2026
Existence of stable periodic orbits in billiards close to lemon and moon billiards
Alexander Grigo
It is known that at lemon and moon billiards that have a sufficiently small curvature on one of their circular arcs are hyperbolic. In this paper we show that replacing this circul…