We investigate how the dynamics of a countable Markov map change when the map is perturbed by analysing the topological conjugacy maps between the original and perturbed system. These conjugacies are strictly increasing singular maps (i.e., with…
Categoria evento: Seminars
Asteroid families identification: history and state of the art – Dr. Zoran Knezevic (Astronomic Observatory of Belgrade)
The history of asteroid families, from their discovery back in 1918, until the present time, is briefly reviewed. Two threads have been followed: on the development of the theories of asteroid motion and the computation of proper elements, and on…
Basi di Groebner e anelli determinantali – Emanuela De Negri (Università di Genova)
Lo studio degli anelli determinantali è un argomento classico in algebra commutativa, ed ha forti motivazioni geometriche. Un nuovo strumento che ha permesso di ottenere interessanti risultati in questo ambito è la teoria delle basi di Groebner. Sia…
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…
Homological properties of ideals associated to graphs – Hop Nguyen (Università di Genova)
(This comes from a joint work with Thanh Vu.) Fix a field k. For any finite simple graph G with vertex set {x_1,…,x_n}, there is a so-called edge ideal associated to G, denoted by I(G), defined as follows: I(G) lives in the polynomial ring…
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…
“Shape optimization problems with Robin conditions on the free boundary” – Dorin Bucur (Université de Savoie, France)
Motivated by spectral optimization problems, we provide a free discontinuity approach to a class of shape optimization problems involving Robin conditions on the free boundary. More precisely, we identify a large family of domains on which such…
“On the first nontrivial Neumann eigenvalue of the infinity Laplacian” – Carlo Nitsch (Università Federico II, Napoli)
The first nontrivial eigenfunction of the Neumann eigenvalue problem for the p-Laplacian converges, as $p$ goes to $\infty$, to a viscosity solution of a suitable eigenvalue problem for the $\infty$-Laplacian. We show among other things that the…
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…