We investigate micro-to-macroscopic derivations in two models of living cells, in presence to cell-cell adhesive interactions. We rigorously address two PDE-based models, one featuring non-local terms and another purely local, as a a result of a law…
Categoria evento: Probability and Stochastic Analysis and Statistics Seminar
Modelli matematici per l’angiogenesi tumorale – Vincenzo Capasso (ADAMSS (Advanced Applied Mathematical and Statistical Sciences), Università di Milano)
Sommario. Nella modellazione matematica della angiogenesi tumorale, il forte accoppiamento tra i processi stocastici di diramazione-elongazione-morte di vasi, e i campi biochimici dovuti alla massa tumorale, è causa di forte complessità dal punto di…
Martingale Optimal Transport (minicorso, parte IV) – Nizar Touzi (Ecole Polytechnique, Paris)
We provide an introduction to martingale optimal transport. In the context of the one-period version of the problem, we establish the Kantorovitch duality, we discuss the existence for the primal and the dual problems, and we provide the martingale…
Martingale Optimal Transport (minicorso, parte III) – Nizar Touzi (Ecole Polytechnique, Paris)
We provide an introduction to martingale optimal transport. In the context of the one-period version of the problem, we establish the Kantorovitch duality, we discuss the existence for the primal and the dual problems, and we provide the martingale…
Martingale Optimal Transport (minicorso, parte II) – Nizar Touzi (Ecole Polytechnique, Paris)
We provide an introduction to martingale optimal transport. In the context of the one-period version of the problem, we establish the Kantorovitch duality, we discuss the existence for the primal and the dual problems, and we provide the martingale…
Martingale Optimal Transport (minicorso, parte I) [orario aggiornato] – Nizar Touzi (Ecole Polytechnique, Paris)
We provide an introduction to martingale optimal transport. In the context of the one-period version of the problem, we establish the Kantorovitch duality, we discuss the existence for the primal and the dual problems, and we provide the martingale…