Fields of interest:
non-local operators in probability theory,
probabilistic interpretation of solutions to deterministic equations,
Levy-type jump processes,
semi-Markov processes,
subordinators,
infinitesimal generators of pure-jump processes,
fractional calculus,
and other closely related fields...
List of colaborators:
I. Biočić. Semilinear Dirichlet problem for subordinate spectral Laplacian, Communications on Pure and Applied Analysis 22 (3), 851-898, 2023. (48 pages), doi.org/10.3934/cpaa.2023012 available also on Arxiv
I. Biočić, Z. Vondraček, V. Wagner. Semilinear equations for non-local operators: beyond the fractional Laplacian, Nonlinear Analysis 207, 112303, 2021. (40 pages), doi.org/10.1016/j.na.2021.112303 available also on Arxiv
I. Biočić. Representation of harmonic functions with respect to subordinate Brownian motion, Journal of Mathematical Analysis and Applications 506 (1), 125554, 2022. (31 pages), doi.org/10.1016/j.jmaa.2021.125554 available also on Arxiv
I. Biočić, D.E. Cedeño Girón, B. Toaldo. Sampling inverse subordinators and subdiffusions. arXiv preprint 2412.15815 (49 pages)
I. Biočić, B. Toaldo. Harmonic problems arising from continuous time random walks limit processes. arXiv preprint 2505.14550 (29 pages)
I. Biočić. V. Wagner. Large solutions for subordinate spectral Laplacian . arXiv preprint 2506.16780 (38 pages)
Large solutions for subordinate spectral Laplacian (slides), One-parametar semigroup operators 2024, University of Laval, 5th June 2024