4 papers
Nonhomogeneous boundary condition for spectral non-local operators
Ivan BioÄiÄ, Vanja Wagner
We study semilinear non-local elliptic problems driven by spectral-type operators of the form in a bounded domain with a nonhomogene…
Continuous Branching Processes with Settlement in Cancer Metastasis: Stochastic Modelling and the Feller Property
Ivan BioÄiÄ, Bruno Toaldo, Lena Zuspann
Motivated by models of cancer metastasis, this paper introduces a type of (multi-type) branching process that records the positions of particles, representing tumor cells or cluste…
Sampling inverse subordinators and subdiffusions
Ivan BioÄiÄ, Daniel E. Cedeño-Girón, Bruno Toaldo
In this paper, a method to exactly sample the trajectories of inverse subordinators (in the sense of the finite-dimensional distributions), jointly with the undershooting or oversh…
Harmonic problems arising from continuous time random walks limit processes
Ivan BioÄiÄ, Bruno Toaldo
In this paper, we develop a universal method that identifies the (non-local) governing evolution equations for Continuous Time Random Walks' (CTRWs) limit processes. Given one of t…