44 citations · 148 across the 39 of their papers we have counts for
43 papers
Periodicity, type factors and free Poisson laws in interacting Fock spaces
Vitonofrio Crismale, Yun Gang Lu, Éric Ricard
We show that the von Neumann algebra generated by position operators in a 2-periodic interacting Fock space is a type factor. On the probabilistic side, we prove that the sq…
De Finetti Theorem on the infinite non-commutative torus
Vitonofrio Crismale, Simone Del Vecchio, Maria Elena Griseta +1
The set of spreadabl estates on an infinite non-commutive torus \mathbb{A}_{\mathbb{Z}_α} is determined for all values of the deformation parameter α. If α is irrational, the canon…
A characterization of Generalized functions of Bounded Deformation
Antonin Chambolle, Vito Crismale
We show that Dal Maso's GBD space, introduced for tackling crack growth in linearized elasticity, can be defined by simple conditions in a finite number of directions of slicing.
Non-commutative skew-product extension dynamical systems
Vitonofrio Crismale, Simone Del Vecchio, Maria Elena Griseta +1
Starting from a uniquely ergodic action of a locally compact group on a compact space , we consider non-commutative skew-product extensions of the dynamics, on the crossed…
Weakly-monotone C*-algebras as Exel-Laca algebras
Vitonofrio Crismale, Simone Del Vecchio, Stefano Rossi +1
An abstract characterization of weakly monotone -algebras, namely the concrete -algebras generated by creators and annihilators acting on the so-called weakly monotone Fo…
On the visco-plastic approximation of a rate-independent coupled elastoplastic damage model
Vito Crismale, Giuliano Lazzaroni, Riccarda Rossi
In this paper we study a rate-independent system for the propagation of damage and plasticity. To construct solutions we resort to approximation in terms of viscous evolutions, whe…
Freedman's theorem for unitarily invariant states on the CCR algebra
Vitonofrio Crismale, Simone Del Vecchio, Tommaso Monni +1
The set of states on , the CCR algebra of a separable Hilbert space , is here looked at as a natural object to obtain a non-commutative version of Freedman's t…
A general compactness theorem in
Antonin Chambolle, Vito Crismale
We give a new, simpler proof of a compactness result in , , by the same authors, which is also valid in (the case ), and shows that bounded sequences conver…
Failure of the Ryll-Nardzewski theorem on the CAR algebra
Vitonofrio Crismale, Stefano Rossi
Spreadability of a sequence of random variables is a distributional symmetry that is implemented by suitable actions of , the unital semigroup of strictly in…
On distributional symmetries on the CAR algebra
Vitonofrio Crismale, Simone Del Vecchio, Stefano Rossi
Spreadable, exchangeable, and rotatable states on the CAR algebra are shown to be the same.
On truncated -free Fock spaces: spectrum of position operators and shift-invariant states
Vitonofrio Crismale, Simone Del Vecchio, Stefano Rossi
The ergodic properties of the shift on both full and -truncated -free -algebras are analyzed. In particular, the shift is shown to be uniquely ergodic with respect to th…
Tail algebras for monotone and -deformed exchangeable stochastic processes
Vitonofrio Crismale, Stefano Rossi
We compute the tail algebras of exchangeable monotone stochastic processes. This allows us to prove the analogue of de Finetti's theorem for this type of processes. In addition, si…
On the monotone -algebra
Vitonofrio Crismale, Simone Del Vecchio, Stefano Rossi
The concrete monotone -algebra, that is the (unital) -algebra generated by monotone independent algebraic random variables of Bernoulli type, is characterized abstractly…
Singular limits of a coupled elasto-plastic damage system as viscosity and hardening vanish
Vito Crismale, Giuliano Lazzaroni, Riccarda Rossi
The paper studies the asymptotic analysis of a model coupling elastoplasticity and damage depending on three parameters -- governing viscosity, plastic hardening, and convergence r…
de Finetti-type theorems on quasi-local algebras and infinite Fermi tensor products
Vitonofrio Crismale, Stefano Rossi, Paola Zurlo
Local actions of , the group of finite permutations on , on quasi-local algebras are defined and proved to be -abelian. It…
On -norms on -graded tensor products
Vitonofrio Crismale, Stefano Rossi, Paola Zurlo
We systematically investigate -norms on the algebraic graded product of -graded -algebras. This requires to single out the notion of a compatible norm, that…
Energetic solutions for the coupling of associative plasticity with damage in geomaterials
Vito Crismale
We prove existence of globally stable quasistatic evolutions, referred to as energetic solutions, for a model proposed by Marigo and Kazymyrenko in 2019. The behaviour of geomateri…
Distributions for Nonsymmetric Monotone and Weakly Monotone Position Operators
Vitonofrio Crismale, Maria Elena Griseta, Janusz Wysoczanski
We study the vacuum distribution, under an appropriate scaling, of a family of partial sums of nonsymmetric position operators on weakly monotone and monotone Fock spaces, respecti…
The variational approach to -fractional heat flows and the limit cases and
Lucia De Luca, Vito Crismale, Andrea Kubin +2
This paper deals with the limit cases for -fractional heat flows in a cylindrical domain, with homogeneous Dirichlet boundary conditions, as and \,. To this…
-fermi systems and detailed balance
Vitonofrio Crismale, Rocco Duvenhage, Francesco Fidaleo
A systematic theory of product and diagonal states is developed for tensor products of -graded -algebras, as well as -graded -algebras. As a preli…
Equilibrium configurations for nonhomogeneous linearly elastic materials with surface discontinuities
Antonin Chambolle, Vito Crismale
We prove a compactness and semicontinuity result that applies to minimisation problems in nonhomogeneous linear elasticity under Dirichlet boundary conditions. This generalises a p…
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…
A derivation of Griffith functionals from discrete finite-difference models
Vito Crismale, Giovanni Scilla, Francesco Solombrino
We analyze a finite-difference approximation of a functional of Ambrosio-Tortorelli type in brittle fracture, in the discrete-to-continuum limit. In a suitable regime between the c…
Dissipative boundary conditions and entropic solutions in dynamical perfect plasticity
Jean-François Babadjian, Vito Crismale
We prove the well--posedness of a dynamical perfect plasticity model under general assumptions on the stress constraint set and on the reference configuration. The problem is studi…