All Outputs (11)

Faster identification of faster Formula 1 drivers via time-rank duality (2024)
Journal Article
Fry, J., Brighton, T., & Fanzon, S. (2024). Faster identification of faster Formula 1 drivers via time-rank duality. Economics letters, 237, Article 111671. https://doi.org/10.1016/j.econlet.2024.111671

Two natural ways of modelling Formula 1 race outcomes are a probabilistic approach, based on the exponential distribution, and econometric modelling of the ranks. Both approaches lead to exactly soluble race-winning probabilities. Equating race-winni... Read More about Faster identification of faster Formula 1 drivers via time-rank duality.

Asymptotic linear convergence of fully-corrective generalized conditional gradient methods (2023)
Journal Article
Bredies, K., Carioni, M., Fanzon, S., & Walter, D. (2023). Asymptotic linear convergence of fully-corrective generalized conditional gradient methods. Mathematical Programming, https://doi.org/10.1007/s10107-023-01975-z

We propose a fully-corrective generalized conditional gradient method (FC-GCG) for the minimization of the sum of a smooth, convex loss function and a convex one-homogeneous regularizer over a Banach space. The algorithm relies on the mutual update o... Read More about Asymptotic linear convergence of fully-corrective generalized conditional gradient methods.

A superposition principle for the inhomogeneous continuity equation with Hellinger–Kantorovich-regular coefficients (2022)
Journal Article
Bredies, K., Carioni, M., & Fanzon, S. (2022). A superposition principle for the inhomogeneous continuity equation with Hellinger–Kantorovich-regular coefficients. Communications in Partial Differential Equations, 47(10), 2023-2069. https://doi.org/10.1080/03605302.2022.2109172

We study measure-valued solutions of the inhomogeneous continuity equation (Formula presented.) where the coefficients v and g are of low regularity. A new superposition principle is proven for positive measure solutions and coefficients for which th... Read More about A superposition principle for the inhomogeneous continuity equation with Hellinger–Kantorovich-regular coefficients.

A Generalized Conditional Gradient Method for Dynamic Inverse Problems with Optimal Transport Regularization (2022)
Journal Article
Bredies, K., Carioni, M., Fanzon, S., & Romero, F. (2022). A Generalized Conditional Gradient Method for Dynamic Inverse Problems with Optimal Transport Regularization. Foundations of Computational Mathematics, https://doi.org/10.1007/s10208-022-09561-z

We develop a dynamic generalized conditional gradient method (DGCG) for dynamic inverse problems with optimal transport regularization. We consider the framework introduced in Bredies and Fanzon (ESAIM: M2AN 54:2351–2382, 2020), where the objective f... Read More about A Generalized Conditional Gradient Method for Dynamic Inverse Problems with Optimal Transport Regularization.

On the extremal points of the ball of the Benamou–Brenier energy (2021)
Journal Article
Bredies, K., Carioni, M., Fanzon, S., & Romero, F. (2021). On the extremal points of the ball of the Benamou–Brenier energy. Bulletin of the London Mathematical Society, 53(5), 1436-1452. https://doi.org/10.1112/blms.12509

In this paper, we characterize the extremal points of the unit ball of the Benamou–Brenier energy and of a coercive generalization of it, both subjected to the homogeneous continuity equation constraint. We prove that extremal points consist of pairs... Read More about On the extremal points of the ball of the Benamou–Brenier energy.

An optimal transport approach for solving dynamic inverse problems in spaces of measures (2020)
Journal Article
Bredies, K., & Fanzon, S. (2020). An optimal transport approach for solving dynamic inverse problems in spaces of measures. ESAIM: Mathematical Modelling and Numerical Analysis, 54(6), 2351-2380. https://doi.org/10.1051/m2an/2020056

In this paper we propose and study a novel optimal transport based regularization of linear dynamic inverse problems. The considered inverse problems aim at recovering a measure valued curve and are dynamic in the sense that (i) the measured data tak... Read More about An optimal transport approach for solving dynamic inverse problems in spaces of measures.

Uniform distribution of dislocations in Peierls–Nabarro models for semi-coherent interfaces (2020)
Journal Article
Fanzon, S., Ponsiglione, M., & Scala, R. (2020). Uniform distribution of dislocations in Peierls–Nabarro models for semi-coherent interfaces. Calculus of Variations and Partial Differential Equations, 59(4), Article 141. https://doi.org/10.1007/s00526-020-01787-5

In this paper we introduce Peierls–Nabarro type models for edge dislocations at semi-coherent interfaces between two heterogeneous crystals, and prove the optimality of uniformly distributed edge dislocations. Specifically, we show that the elastic e... Read More about Uniform distribution of dislocations in Peierls–Nabarro models for semi-coherent interfaces.

Derivation of linearized polycrystals from a two-dimensional system of edge dislocations (2019)
Journal Article
Fanzon, S., Palombaro, M., & Ponsiglione, M. (2019). Derivation of linearized polycrystals from a two-dimensional system of edge dislocations. SIAM Journal on Mathematical Analysis, 51(5), 3956-3981. https://doi.org/10.1137/18M118726X

In this paper we show the emergence of polycrystalline structures as a result of elastic energy minimization. For this purpose, we consider a well-known variational model for twodimensional systems of edge dislocations, within the so-called core radi... Read More about Derivation of linearized polycrystals from a two-dimensional system of edge dislocations.

Geometric patterns and microstructures in the study of material defects and composites (2018)
Thesis
Fanzon, S. (2018). Geometric patterns and microstructures in the study of material defects and composites. (PhD). Retrieved from https://hull-repository.worktribe.com/output/4271050

The main focus of this PhD thesis is the study of microstructures and geometric patterns in materials, in the framework of the Calculus of Variations. My PhD research, carried out in collaboration with my supervisor Mariapia Palombaro and Marcello Po... Read More about Geometric patterns and microstructures in the study of material defects and composites.

Optimal lower exponent for the higher gradient integrability of solutions to two-phase elliptic equations in two dimensions (2017)
Journal Article
Fanzon, S., & Palombaro, M. (2017). Optimal lower exponent for the higher gradient integrability of solutions to two-phase elliptic equations in two dimensions. Calculus of Variations and Partial Differential Equations, 56(5), Article 137. https://doi.org/10.1007/s00526-017-1222-9

We study the higher gradient integrability of distributional solutions u to the equation div (σ∇ u) = 0 in dimension two, in the case when the essential range of σ consists of only two elliptic matrices, i.e., σ∈ { σ1, σ2} a.e. in Ω. In Nesi et al. (... Read More about Optimal lower exponent for the higher gradient integrability of solutions to two-phase elliptic equations in two dimensions.

A Variational Model for Dislocations at Semi-coherent Interfaces (2017)
Journal Article
Fanzon, S., Palombaro, M., & Ponsiglione, M. (2017). A Variational Model for Dislocations at Semi-coherent Interfaces. Journal of Nonlinear Science, 27(5), 1435-1461. https://doi.org/10.1007/s00332-017-9366-5

We propose and analyze a simple variational model for dislocations at semi-coherent interfaces. The energy functional describes the competition between two terms: a surface energy induced by dislocations and a bulk elastic energy, spent to decrease t... Read More about A Variational Model for Dislocations at Semi-coherent Interfaces.