12 citations · 19 across the 19 of their papers we have counts for
22 papers
Scaling limits for Moran processes on metric strategy spaces: an Eulerian derivation of pure replicator and Fleming--Viot measure-valued PDEs
Stefano Almi, Riccardo Durastanti, Marco Morandotti +2
We study the large-population limit of a discrete-time Moran process featuring multiple strategies, drawn from a possibly infinite strategy space (a metric space), un…
Riesz fractional gradient functionals defined on partitions: nonlocal-to-local variational limits
Stefano Almi, Maicol Caponi, Manuel Friedrich +1
This paper addresses the asymptotics of functionals with linear growth depending on the Riesz -fractional gradient on piecewise constant functions. We consider a general class o…
A general perspective on CBO methods with stochastic rate of information
Stefano Almi, Alessandro Baldi, Marco Morandotti +1
This paper studies a class of Consensus-Based Optimization (CBO) models featuring an additional stochastic rate of information, modeling the agents' knowledge of the environment an…
Mean field first order optimality condition under low regularity of controls
Stefano Almi, Riccardo Durastanti, Francesco Solombrino
We show that mean field optimal controls satisfy a first order optimality condition (at a.e. time) without any a priori requirement on their spatial regularity. This principle is o…
A fractional approach to strain-gradient plasticity: beyond core-radius of discrete dislocations
Stefano Almi, Maicol Caponi, Manuel Friedrich +1
We derive a strain-gradient theory for plasticity as the -limit of discrete dislocation fractional energies, without the introduction of a core-radius. By using the finite horiz…
A Pontryagin Maximum Principle for agent-based models with convex state space
Stefano Almi, Riccardo Durastanti, Francesco Solombrino
We derive a first order optimality condition for a class of agent-based systems, as well as for their mean-field counterpart. A relevant difficulty of our analysis is that the stat…
Geometric rigidity for incompatible fields in the multi-well case and an application to strain-gradient plasticity
Stefano Almi, Dario Reggiani, Francesco Solombrino
We derive a quantitative rigidity estimate for a multi-well problem in nonlinear elasticity with dislocations. Precisely, we show that the -distance of a possibly incomp…
Geometric rigidity on Sobolev spaces with variable exponent and applications
Stefano Almi, Maicol Caponi, Manuel Friedrich +1
We present extensions of rigidity estimates and of Korn's inequality to the setting of (mixed) variable exponents growth. The proof techniques, based on a classical covering argume…
Optimal control problems in transport dynamics with additive noise
Stefano Almi, Marco Morandotti, Francesco Solombrino
Motivated by the applications, a class of optimal control problems is investigated, where the goal is to influence the behavior of a given population through another controlled one…
Lower semicontinuity and relaxation for free discontinuity functionals with non-standard growth
Stefano Almi, Dario Reggiani, Francesco Solombrino
A lower semicontinuity result and a relaxation formula for free discontinuity functionals with non-standard growth in the bulk energy are provided. Our analysis is based on a non-t…
Non-local approximation of free-discontinuity problems in linear elasticity and application to stochastic homogenisation
Roberta Marziani, Francesco Solombrino
We analyse the -convergence of general non-local convolution type functionals with varying densities depending on the space variable and on the symmetrized gradient. The limit i…
Mean-field limits for entropic multi-population dynamical systems
Stefano Almi, Claudio D'Eramo, Marco Morandotti +1
The well-posedness of a multi-population dynamical system with an entropy regularization and its convergence to a suitable mean-field approximation are proved, under a general set…
Brittle membranes in finite elasticity
Stefano Almi, Dario Reggiani, Francesco Solombrino
This work is devoted to the variational derivation of a reduced model for brittle membranes in finite elasticity. The main mathematical tools we develop for our analysis are: (i) a…
The notions of Inertial Balanced Viscosity and Inertial Virtual Viscosity solution for rate-independent systems
Filippo Riva, Giovanni Scilla, Francesco Solombrino
The notion of Inertial Balanced Viscosity (IBV) solution to rate-independent evolutionary processes is introduced. Such solutions are characterized by an energy balance where a sui…
Mean-field selective optimal control via transient leadership
Giacomo Albi, Stefano Almi, Marco Morandotti +1
A mean-field selective optimal control problem of multipopulation dynamics via transient leadership is considered. The agents in the system are described by their spatial position…
-convergence for free-discontinuity problems in linear elasticity: Homogenization and relaxation
Manuel Friedrich, Matteo Perugini, Francesco Solombrino
We analyze the -convergence of sequences of free-discontinuity functionals arising in the modeling of linear elastic solids with surface discontinuities, including phenomena as…
An alternate Lagrangian scheme for spatially inhomogeneous evolutionary games
Stefano Almi, Marco Morandotti, Francesco Solombrino
An alternate Lagrangian scheme at discrete times is proposed for the approximation of a nonlinear continuity equation arising as a mean-field limit of spatially inhomogeneous evolu…
Integral representation for energies in linear elasticity with surface discontinuities
Vito Crismale, Manuel Friedrich, Francesco Solombrino
In this paper we prove an integral representation formula for a general class of energies defined on the space of generalized special functions of bounded deformation () in…
Lower semicontinuity for functionals defined on piecewise rigid functions and on
Manuel Friedrich, Matteo Perugini, Francesco Solombrino
In this work, we provide a characterization result for lower semicontinuity of surface energies defined on piecewise rigid functions, i.e., functions which are piecewise affine on…
Mean-field analysis of multi-population dynamics with label switching
Marco Morandotti, Francesco Solombrino
The mean-field analysis of a multi-population agent-based model is performed. The model couples a particle dynamics driven by a nonlocal velocity with a Markow-type jump process on…
Functionals defined on piecewise rigid functions: Integral representation and -convergence
Manuel Friedrich, Francesco Solombrino
We analyze integral representation and -convergence properties of functionals defined on \emph{piecewise rigid functions}, i.e., functions which are piecewise affine on a Caccio…
Quasistatic crack growth in 2d-linearized elasticity
Manuel Friedrich, Francesco Solombrino
In this paper we prove a two-dimensional existence result for a variational model of crack growth for brittle materials in the realm of linearized elasticity. Starting with a time-…