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Effects of boundary conditions on irreversible dynamicsMar 13 2017We present a simple one-dimensional Ising-type spin system on which we define a completely asymmetric Markovian single spin-flip dynamics. We study the system at a very low, yet non-zero, temperature and we show that for empty boundary conditions the ... More

Fast mixing for the low temperature 2d Ising model through irreversible parallel dynamicsJul 24 2014We study metastability and mixing time for a non-reversible probabilistic cellular automaton. With a suitable choice of the parameters, we first show that the stationary distribution is close in total variation to a low temperature Ising model. Then we ... More

Some spin glass ideas applied to the clique problemMay 12 2006In this paper we introduce a new algorithm to study some NP-complete problems. This algorithm is a Markov Chain Monte Carlo (MCMC) inspired by the cavity method developed in the study of spin glass. We will focus on the maximum clique problem and we will ... More

Probabilistic Cellular Automata for low temperature Ising modelJun 11 2016Jun 15 2016We construct a parallel stochastic dynamics with invariant measure converging to the Gibbs measure of the low temperature Ising model. The proof of such convergence requires a polymer expansion based on suitably defined Peierls-type contours.

Phase transitions for the cavity approach to the clique problem on random graphsNov 12 2010We give a rigorous proof of two phase transitions for a disordered system designed to find large cliques inside Erdos random graphs. Such a system is associated with a conservative probabilistic cellular automaton inspired by the cavity method originally ... More

Criticality of measures on 2-d Ising configurations: from square to hexagonal graphsJun 06 2019On the space of Ising configurations on the 2-d square lattice, we consider a family of non Gibbsian measures introduced by using a pair Hamiltonian, depending on an additional inertial parameter $q$. These measures are related to the usual Gibbs measure ... More

Strong times and first hittingJun 23 2016We generalize the notion of strong stationary time and we give a representation formula for the hitting time to a target set in the general case of non-reversible Markov processes.

Sampling from a Gibbs measure with pair interaction by means of PCAJan 27 2012We consider the problem of approximate sampling from the finite volume Gibbs measure with a general pair interaction. We exhibit a parallel dynamics (Probabilistic Cellular Automaton) which efficiently implements the sampling. In this dynamics the product ... More

Convergent expansions for Random Cluster Model with q>0 on infinite graphsJan 03 2005Feb 08 2008In this paper we extend our previous results on the connectivity functions and pressure of the Random Cluster Model in the highly subcritical phase and in the highly supercritical phase, originally proved only on the cubic lattice $\Z^d$, to a much wider ... More

Conditioned, quasi-stationary, restricted measures and escape from metastable statesOct 17 2014Feb 24 2015We study the asymptotic hitting time $\tau^{(n)}$ of a family of Markov processes $X^{(n)}$ to a target set $G^{(n)}$ when the process starts from a trap defined by very general properties. We give an explicit description of the law of $X^{(n)}$ conditioned ... More

Shaken dynamics for the 2d ising modelApr 12 2019We define a Markovian parallel dynamics for a class of nearest neighbors spin systems. In the dynamics, beside the two usual parameters $J$, the strength of the interaction, and $\lambda$, the external field, it appears an inertial parameter $q$, measuring ... More

Equilibrium and non-equilibrium Ising models by means of PCAJul 08 2013We propose a unified approach to reversible and irreversible PCA dynamics, and we show that in the case of 1D and 2D nearest neighbour Ising systems with periodic boundary conditions we are able to compute the stationary measure of the dynamics also when ... More

The Global Renormalization Group Trajectory in a Critical Supersymmetric Field Theory on the Lattice Z^3Sep 25 2007Sep 09 2008We consider an Euclidean supersymmetric field theory in $Z^3$ given by a supersymmetric $\Phi^4$ perturbation of an underlying massless Gaussian measure on scalar bosonic and Grassmann fields with covariance the Green's function of a (stable) L\'evy random ... More

Renormalization group approach to interacting polymerised manifoldsDec 30 1998Mar 02 1999We propose to study the infrared behaviour of polymerised (or tethered) random manifolds of dimension D interacting via an exclusion condition with a fixed impurity in d-dimensional Euclidean space in which the manifold is embedded. We prove rigorously, ... More

Finite morphic $p$-groupsNov 04 2014Jan 08 2015According to Li, Nicholson and Zan, a group $G$ is said to be morphic if, for every pair $N_{1}, N_{2}$ of normal subgroups, each of the conditions $G/N_{1} \cong N_{2}$ and $G/N_{2} \cong N_{1}$ implies the other. Finite, homocyclic $p$-groups are morphic, ... More

Entropy-driven cutoff phenomenaFeb 22 2011May 03 2012In this paper we present, in the context of Diaconis' paradigm, a general method to detect the cutoff phenomenon. We use this method to prove cutoff in a variety of models, some already known and others not yet appeared in literature, including a chain ... More

Hadrons with c-s content: past, present and futureOct 11 2015The PANDA detector at FAIR aims to conduct an antiproton-proton experiment with a very high rate capability. It is expected to feature high mass resolution, more than 20 times better than achieved at B-factories. PANDA is in a unique position to perform ... More

The mixed Hodge structure on the fundamental group of hyperelliptic curves and higher cyclesJan 25 2002In this paper we give a geometrical interpretation of an extension of mixed Hodge structures (MHS) obtained from the canonical MHS on the group ring of the fundamental group of a hyperelliptic curve modulo the fourth power of its augmentation ideal. We ... More

Diffusive-Ballistic Transition in Random Walks with Long-Range Self-RepulsionDec 04 2007Dec 06 2007We prove that a class of random walks on $\Z^2$ with long-range self-repulsive interactions have a diffusive-ballistic phase transition.

Metabelian thin Beauville $p$-groupsJan 24 2017A non-cyclic finite $p$-group $G$ is said to be thin if every normal subgroup of $G$ lies between two consecutive terms of the lower central series and $|\gamma_i(G):\gamma_{i+1}(G)|\le p^2$ for all $i\geq 1$. In this paper, we determine Beauville structures ... More

A Dissipative Model for Hydrogen Storage: Existence and Regularity ResultsMar 23 2010Mar 24 2010We prove global existence of a solution to an initial and boundary value problem for a highly nonlinear PDE system. The problem arises from a thermomechanical dissipative model describing hydrogen storage by use of metal hydrides. In order to treat the ... More

On Lennard-Jones type potentials and hard-core potentials with an attractive tailJun 30 2014We revisit an old tree graph formula, namely the Brydges-Federbush tree identity, and use it to get new bounds for the convergence radius of the Mayer series for gases of continuous particles interacting via non absolutely summable pair potentials with ... More

Clustering Bounds on N-Point Correlations for Unbounded Spin SystemsJan 29 2009We prove clustering estimates for the truncated correlations, i.e., cumulants of an unbounded spin system on the lattice. We provide a unified treatment, based on cluster expansion techniques, of four different regimes: large mass, small interaction between ... More

Topology, the meson spectrum and the scalar glueball: three probes of conformality and the way it is lostSep 02 2015We discuss properties of non-Abelian gauge theories that change significantly across the lower edge of the conformal window. Their probes are the topological observables, the meson spectrum and the scalar glueball operator. The way these quantities change ... More

On the gradient flow of the Lagrangian density in non-Abelian gauge theoriesOct 14 2018We observe that the would-be running coupling on the lattice defined by means of the gradient-flow method in order to identify the conformal window of QCD is not renormalization-group invariant (RGI). Indeed, we show that the would-be running coupling, ... More

The Many Uses of Chiral Effective TheoriesMar 16 2008I review basic concepts of chiral effective field theories guided by an historical perspective: from the first ideas to the merging with other effective frameworks, and to the interplay with lattice field theory. The impact of recent theoretical developments ... More

Search for exotics in the rare decay $B \rightarrow J/ψK K K$ at $BABAR$Oct 21 2014One of the most intriguing puzzles in hadron spectroscopy are the numerous charmonium-like states observed in the last decade, including charged states that are manifestly exotic. Over the years, the experiment $BABAR$ has extensively studied those in ... More

X, Y, Z Search at Belle IIAug 14 2018Aug 15 2018Search for exotics has increased importance since the observation of the X(3872), 13 years ago, announced by the Belle Collaboration. The observation of pentaquark states by LHCb, and the Z-charged states observed at Belle and BES III have raised even ... More

Experimental results on searches beyond the Standard ModelDec 13 2006Recent results for direct searches for physics beyond the Standard Model are reviewed. The results include Tevatron II data up to 1.2 fb-1 and HERA results up to 350 pb-1. Searches for Supersymmetry, for compositeness and for large extra dimensions are ... More

W physics at LEPSep 22 2003Studying the properties of the W boson plays a key role in precision tests of the Standard Model. The key measurements performed over the last decade will be reviewed. W-pair and single-W cross-sections and W decay branching fractions are determined and ... More

Final State Interactions and eps'/epsOct 02 2000I discuss the role of strong final state interactions (FSI) in K \to 2\pi decays. In this case strong FSI effects can be resummed [1,2] by solving the Omn\`es problem for K\to 2\pi amplitudes. Implications for the CP conserving Delta I=1/2 ratio and the ... More

A counterexample to well-posedness of entropy solutions to the compressible Euler systemJan 17 2012We deal with entropy solutions to the Cauchy problem for the isentropic compressible Euler equations in the space-periodic case. In more than one space dimension, the methods developed by De Lellis-Sz\'ekelyhidi enable us to show failure of uniqueness ... More

Gluon-fusion Higgs production at NNLO for a non-standard Higgs sectorJun 20 2011We consider an extension of the Standard Model with an arbitrary number of heavy quarks having general couplings to the Higgs boson. We construct an effective Lagrangian integrating out quarks that are heavier than half the mass of the Higgs boson and ... More

Final State Interactions in $ε'/ε$Jul 03 2000Strong final state interaction (FSI) effects can play a central role in the Standard Model prediction of weak $K\to 2\pi$ matrix elements. Here, I discuss how FSI's affect the direct CP violation parameter $\vepp / \vep$ by solving the Omn\`es problem ... More

The mass of the scalar boson beyond the large-N_c limitJun 10 1996Within the framework of the $1/N_c$ expansion of four-fermion interaction models, we analyse the next to leading $1/N_c$ corrections to the well known large-$N_c$ result $M_S=2M_Q$ where $M_S$ is the mass of the scalar boson and $M_Q$ is the constituent ... More

The Lichnerowicz theorem on CR manifoldsMay 16 2006We obtain a Bochner type formula and an estimate from below on the spectrum of the sublaplacian of a compact strictly pseudoconvex CR manifold.

Search for exotic charmonium statesNov 03 2014One of the most intriguing puzzles in hadron spectroscopy are the numerous charmonium-like states observed in the last decade, including charged states that are manifestly exotic. The $BABAR$ and Belle experiments have extensively studied those in B meson ... More

Status and perspectives for $\bar PANDA$ at FAIROct 20 2014Nov 05 2014The Facility for Antiproton and Ion Research (FAIR) is an international accelerator facility which will use antiprotons and ions to perform research in the fields of nuclear, hadron and particle physics, atomic and anti-matter physics, high density plasma ... More

Leptonic B decays at BaBarOct 14 2008We will present the most recent results on leptonic B decays $B^{\pm(0)} \to K^{* \pm (0)} \nu \bar{\nu}$ and $B^{\pm} \to \mu^{\pm} \nu$, based on the data collected by the BaBar detector at PEP-II, an asymmetric $e^+ e^-$ collider at the center of mass ... More

Extraction of Polarization Parameters in the $\mathrm{\bar{p} p} \rightarrow \barΩ Ω$ ReactionMar 30 2018A method to extract the polarization of $\Omega$ hyperons produced via the strong interaction is presented. Assuming they are spin 3/2 particles, the corresponding spin density matrix can be written in terms of seven non-zero polarization parameters, ... More

ZEUS ResultsJul 06 2005Several results from the ZEUS Collaboration were presented at this Workshop. The highlights are presented in this summary, and include results from NLO QCD fits and determination of alphas, from forward jets and diffractive final states, from pentaquarks ... More

Perspectives of Open Charm Physics at $\bar PANDA$Oct 21 2014Oct 26 2014The $\bar PANDA$ experiment at FAIR (Facility for Antiproton and Ion Research) in Darmstadt (Germany) is designed for $\bar p p$ annihilation studies and it will investigate fundamental questions of hadron and nuclear physics in interactions of antiprotons ... More

Exotics at Belle and perspectives at Belle IIJun 28 2018The search for multi-quark states beyond the constituent quark model (CQM) has resulted in the discovery of many new exotic states, starting with the observation of the X(3872), discovered by Belle in 2003. Also in the sector of charm-strange physics ... More

On the boundary behavior of the holomorphic sectional curvature of the Bergman metricMay 16 2006We obtain a conceptually new differential geometric proof of P.F. Klembeck's result that the holomorphic sectional curvature of a strictly pseudoconvex domain approaches (in the boundary limit) the constant sectional curvature of the Bergman metric of ... More

Almost-free finite coversMay 31 2007Jun 03 2007Finite covers are a technique for building new structures from simpler ones. The original motivation to study finite covers is in the Ladder theorem of Zilber which describes how totally categorical structures are built from strictly minimal sets by a ... More

Two Component Theory of Neutrino Flavor MixingOct 04 1997Neutrino flavor mixing is discussed in terms of two-component coupled left-handed flavor fields. This is to take into account the fact that the weak interaction couples only to left-handed fields. The flavor fields are written through a rotation matrix, ... More

Flavor Oscillations in Field TheorySep 25 1996Dec 04 1996Neutrino flavor oscillations are discussed in terms of two coupled Dirac fields. The interacting Lagrangian is diagonalized to obtain the exact eigenvalues and eigenfunctions. Flavor wave functions are then derived directly from the quantized neutrino ... More

On the pseudohermitian sectional curvature of a strictly pseudoconvex CR manifoldMay 15 2006We study the pseudohermitian sectional curvature of a CR manifold.

Asymptotically exponential hitting times and metastability: a pathwise approach without reversibilityJun 10 2014We study the hitting times of Markov processes to target set $G$, starting from a reference configuration $x_0$ or its basin of attraction. The configuration $x_0$ can correspond to the bottom of a (meta)stable well, while the target $G$ could be either ... More

Regular subgroups with large intersectionNov 14 2018Nov 30 2018In this paper we study the relationships between the elementary abelian regular subgroups and the Sylow $2$-subgroups of their normalisers in the symmetric group $\mathrm{Sym}(\mathbb{F}_2^n)$, in view of the interest that they have recently raised for ... More

The Overdetermined Cauchy Problem for $ω$-ultradifferentiable FunctionsNov 23 2015In this paper we study the Cauchy problem for overdetermined systems of linear partial differential operators with constant coefficients in some spaces of $\omega$-ultradifferentiable functions in the sense of Braun, Meise and Taylor, for non-quasianalytic ... More

A degenerating PDE system for phase transitions and damageMay 16 2012Apr 15 2013In this paper, we analyze a PDE system arising in the modeling of phase transition and damage phenomena in thermoviscoelastic materials. The resulting evolution equations in the unknowns \theta (absolute temperature), u (displacement), and \chi (phase/damage ... More

Metrics for Evaluating Dialogue Strategies in a Spoken Language SystemDec 17 1996In this paper, we describe a set of metrics for the evaluation of different dialogue management strategies in an implemented real-time spoken language system. The set of metrics we propose offers useful insights in evaluating how particular choices in ... More

Quenched penguins, the Delta I=1/2 rule, and epsilon'/epsilonSep 30 2006The transformation properties of strong penguin operators under the action of the flavor group change when they are considered as operators in (partially) quenched QCD instead of the unquenched theory. An ambiguity arises, which is parameterized by new ... More

On the Determination of Nonleptonic Kaon Decays from $K\toπ$ Matrix ElementsJun 29 2000The coupling constants of the order $p^2$ low-energy weak effective lagrangian can be determined from the $K\to\pi$ and $K\to 0$ weak matrix elements, choosing degenerate quark masses for the first of these. However, for typical values of quark masses ... More

On the curvature groups of a CR manifoldMay 16 2006We show that any contact form whose Fefferman metric admits a nonzero parallel vector field is pseudo-Einstein of constant pseudohermitian scalar curvature. As an application we compute the curvature groups of the total space of the canonical circle bundle ... More

Jacobi fields of the Tanaka-Webster connection on Sasakian manifoldsMay 15 2006We build a variational theory of geodesics of the Tanaka-Webster connection on a strictly pseudoconvex CR manifold.

A bound on the dimension of a totally geodesic submanifold in the Prym locusNov 09 2017We give an upper bound for the dimension of a germ of a totally geodesic submanifold, and hence of a Shimura variety of A_{g-1}, contained in the Prym locus. First we give such a bound for a germ passing through a Prym variety of a k-gonal curve in terms ... More

Failure on n-uniqueness: a family of examplesSep 03 2009Jul 05 2010In this paper, the connections between model theory and the theory of infinite permutation groups are used to study the n-existence and the n-uniqueness for n-amalgamation problems of stable theories. We show that, for any n>1, there exists a stable theory ... More

Damage processes in thermoviscoelastic materials with damage-dependent thermal expansion coefficientsFeb 17 2014Nov 20 2014In this paper we prove existence of global in time weak solutions for a highly nonlinear PDE system arising in the context of damage phenomena in thermoviscoelastic materials. The main novelty of the present contribution with respect to the ones already ... More

On the Koszul cohomology of canonical and Prym-canonical binary curvesJul 13 2012Mar 04 2013In this paper we study Koszul cohomology and the Green and Prym-Green conjectures for canonical and Prym-canonical binary curves. We prove that if property $N_p$ holds for a canonical or a Prym-canonical binary curve of genus $g$ then it holds for a generic ... More

On the energy dissipation rate of solutions to the compressible isentropic Euler systemDec 17 2013In this paper we extend and complement some recent results by Chiodaroli, De Lellis and Kreml on the well-posedness issue for weak solutions of the compressible isentropic Euler system in $2$ space dimensions with pressure law $p(\rho)=\rho^\gamma$, $\gamma ... More

Fully-dynamic Approximation of Betweenness CentralityApr 27 2015Jul 03 2015Betweenness is a well-known centrality measure that ranks the nodes of a network according to their participation in shortest paths. Since an exact computation is prohibitive in large networks, several approximation algorithms have been proposed. Besides ... More

Collimating, relativistic, magnetic jets from rotating disksOct 24 2000The magnetic flux distribution is determined by the solution of the Grad-Shafranov equation. With differential rotation, i.e. the variation of the iso-rotation parameter, the shape of the light surface must be calculated in an iterative way. For the first ... More

Final State Interactions in Kaon DecaysJul 19 2000We quantify the important effect of strong final state interactions in the weak $K\to 2\pi$ amplitudes, using the measured $\pi$-$\pi$ phase shifts with J=0 and $I=0,2$. The main results of this analysis, with their implications for $\epsilon'/\epsilon$ ... More

Pion loops in quenched Quantum ChromodynamicsFeb 25 1997We calculate the divergences of the generating functional of quenched Chiral Perturbation Theory to one loop for a generic number of flavours. The flavour number dependence of our result enlightens the mechanism of quark loop cancellation in the quenched ... More

Mass of scalar resonances beyond the large-$N_c$ limitMay 19 1995Within the Extended Nambu Jona-Lasinio model we analyse the $1/N_c$-corrections to the leading order result $M_S=2M_Q$ where $M_Q$ is the constituent quark mass.

Present Status of experimental determination of VcbMay 15 2002The present status of our knowledge of the magnitude of the quark mixing parameter Vcb is reviewed, with particular emphasis on the factors affecting experimental and theoretical errors and on prospects for a more precise determination.

On $K\toππ$ Decays in Quenched and Unquenched Chiral Perturbation TheorySep 09 1999We calculate the logarithmic corrections to the matrix elements for $K^+\to\pi^+$ and $K\to$vacuum (which are used on the lattice to determine $K\to\pi\pi$ amplitudes), in one-loop quenched and unquenched Chiral Perturbation Theory. We find that these ... More

Stability for weighted composition $C_0$-semigroups on Lebesgue and Sobolev spacesJun 03 2016Stability of weighted composition strongly continuous semigroups acting on Lebesgue and Sobolev spaces is studied, without the use of spectral conditions on the generator of the semigroup. Applications to the generalized von Foerster - Lasota semigroup ... More

Percolation and isoperimetry on roughly transitive graphsJul 28 2015Feb 16 2016In this paper we study percolation on a roughly transitive graph G with polynomial growth and isoperimetric dimension larger than one. For these graphs we are able to prove that p_c < 1, or in other words, that there exists a percolation phase. The main ... More

A Semi-Lagrangian Scheme with Radial Basis Approximation for Surface ReconstructionFeb 15 2016Nov 05 2016We propose a Semi-Lagrangian scheme coupled with Radial Basis Function interpolation for approximating a curvature-related level set model, which has been proposed by Zhao et al. in \cite{ZOMK} to reconstruct unknown surfaces from sparse, possibly noisy ... More

Cohomology of the flag variety under PBW degenerationsJun 21 2017Oct 30 2017PBW degenerations are a particularly nice family of flat degenerations of type A flag varieties. We show that the cohomology of any PBW degeneration of the flag variety surjects onto the cohomology of the original flag variety, and that this holds in ... More

A model for shape memory alloys with the possibility of voidsSep 29 2009The paper is devoted to the study of a mathematical model for the thermomechanical evolution of metallic shape memory alloys. The main novelty of our approach consists in the fact that we include the possibility for these materials to exhibit voids during ... More

Majorana neutrinos from warped extra dimensionsJun 22 2008Field theory in the presence of extra dimensions has offered interesting solutions to the gauge hierarchy problem, and inspired many attempts to understand the fermion mass generation mechanism. We study the behaviour of a bulk fermion field subject to ... More

Effects of Quenching and Partial Quenching on Penguin Matrix ElementsAug 09 2001Oct 30 2001In the calculation of non-leptonic weak decay rates, a "mismatch" arises when the QCD evolution of the relevant weak hamiltonian down to hadronic scales is performed in unquenched QCD, but the hadronic matrix elements are then computed in (partially) ... More

Quenched Chiral Perturbation Theory to one loopAug 08 1997Feb 25 1998We calculate the divergences of the generating functional of quenched Chiral Perturbation Theory at one loop, and renormalize the theory by an appropriate definition of the counterterms. We show that the quenched chiral logarithms can be reabsorbed in ... More

An overview of some recent results on the Euler system of isentropic gas dynamicsAug 12 2015In this overview we discuss some recent results of non--uniqueness for the isentropic Euler equations of gas dynamics with particular attention to the role of some admissibility criteria proposed in the literature.

Well-posedness of an extended model for water-ice phase transitionsMay 30 2011We propose an improved model explaining the occurrence of high stresses due to the difference in specific volumes during phase transitions between water and ice. The unknowns of the resulting evolution problem are the absolute temperature, the volume ... More

Formation of relativistic MHD jets: stationary state solutions & numerical simulationsNov 20 2008We discuss numerical results of relativistic magnetohydrodynamic (MHD) jet formation models. We first review some examples of stationary state solutions treating the collimation and acceleration process of relativistic MHD jets. We provide an a posteriori ... More

Electromagnetic corrections to non-leptonic two-body B and D decaysAug 05 2005We present analytic expressions to evaluate at O(alpha) the effects of soft-photon emission, and the related virtual corrections, in non-leptonic decays of the type B,D -> P1 P2, where P1 and P2 are scalar or pseudoscalar particles. The phenomenological ... More

Effects of Quenching and Partial Quenching on QCD Penguin Matrix ElementsOct 22 2001Oct 30 2001We point out that chiral transformation properties of penguin operators change in the transition from unquenched to (partially) quenched QCD. The way in which this affects the lattice determination of weak matrix elements can be understood in the framework ... More

Second fundamental form of the Prym map in the ramified caseDec 17 2018In this paper we study the second fundamental form of the Prym map $P_{g,r}: R_{g,r} \rightarrow {\mathcal A}^{\delta}_{g-1+r}$ in the ramified case $r>0$. We give an expression of it in terms of the second fundamental form of the Torelli map of the covering ... More

Clustering and the hyperbolic geometry of complex networksSep 02 2013Jun 28 2015Clustering is a fundamental property of complex networks and it is the mathematical expression of a ubiquitous phenomenon that arises in various types of self-organized networks such as biological networks, computer networks or social networks. In this ... More

On the second gaussian map for curves on a K3 surfaceMay 14 2009Mar 04 2010By a theorem of Wahl, for canonically embedded curves which are hyperplane sections of K3 surfaces, the first gaussian map is not surjective. In this paper we prove that if C is a general hyperplane section of high genus (greater than 280) of a general ... More

Non-uniqueness of admissible weak solutions to the Riemann problem for the isentropic Euler equationsApr 06 2017We study the Riemann problem for the multidimensional compressible isentropic Euler equations. Using the framework developed by Chiodaroli, De Lellis, Kreml and based on the techniques of De Lellis and Sz\'{e}kelyhidi, we extend our previous results and ... More

Existence and non-uniqueness of global weak solutions to inviscid primitive and Boussinesq equationsSep 08 2016We consider the initial value problem for the inviscid Primitive and Boussinesq equations in three spatial dimensions. We recast both systems as an abstract Euler-type system and apply the methods of convex integration of De Lellis and Sz\'ekelyhidi to ... More

Optimal distributed control of a nonlocal convective Cahn-Hilliard equation by the velocity in 3DApr 07 2014Sep 25 2014In this paper we study a distributed optimal control problem for a nonlocal convective Cahn--Hilliard equation with degenerate mobility and singular potential in three dimensions of space. While the cost functional is of standard tracking type, the control ... More

The AGILE Archive and Data Processing at the ASI Science Data CenterJul 24 2003AGILE (Astro-rivelatore Gamma ad Immagini LEggero) is a Small Scientific Mission of the Italian Space Agency (ASI) with a Science Program open to the national and international community. Its main goal is to develop and operate a scientific satellite ... More

Using Lattice QCD and ChPT to obtain non-leptonic K-decay amplitudesAug 31 2001We summarize some of the difficulties that confront lattice calculations of non-leptonic kaon decay matrix elements. We review some of the methods that have been proposed to overcome these difficulties, and discuss the importance of one-loop ChPT in this ... More

Strong Enhancement of $ε'/ε$ Through Final State InteractionsNov 04 1999Nov 17 1999We quantify the important effect of strong final state interactions in the weak $K\to2\pi$ amplitudes, using the measured $\pi$--$\pi$ phase shifts with J=0 and $I=0,2$. The final rescattering of the two pions provides a strong enhancement of the $\Delta ... More

Sulphur in the metal poor globular cluster NGC 6397Aug 30 2011Sulphur (S) is a non-refractory alpha-element that is not locked into dust grains in the interstellar medium. Thus no correction to the measured, interstellar sulphur abundance is needed and it can be readily compared to the S content in stellar photospheres. ... More

Cosmological constraints combining H(z), CMB shift and SNIa observational dataApr 20 2007Jul 27 2007Recently H(z) data obtained from differential ages of galaxies have been proposed as a new geometrical probe of dark energy. In this paper we use those data, combined with other background tests (CMB shift and SNIa data), to constrain a set of general ... More

Automatic abundance analysis of high resolution spectraDec 18 2002We describe an automatic procedure for determining abundances from high resolution spectra. Such procedures are becoming increasingly important as large amounts of data are delivered from 8m telescopes and their high-multiplexing fiber facilities, such ... More

Lectures on quasi-invariants of Coxeter groups and the Cherednik algebraApr 09 2002The paper an elementary introduction for non-specialists to the theory of quasi-invariants of Coxeter groups. The main object of study is the variety X_m of quasi-invariants for a finite Coxeter group, which arose in a work of O.Chalykh and A.Veselov ... More

A class of large global solutions for the Wave--Map equationApr 20 2015Jul 29 2016In this paper we consider the equation for equivariant wave maps from $R^{3+1}$ to $S^3$ and we prove global in forward time existence of certain $C^\infty$-smooth solutions which have infinite critical Sobolev norm $\dot{H}^{\frac{3}{2}}(R^3)\times \dot{H}^{\frac{1}{2}}(R^3)$. ... More

On a nonlocal Cahn-Hilliard equation with a reaction termJan 07 2015We prove existence, uniqueness, regularity and separation properties for a nonlocal Cahn-Hilliard equation with a reaction term. We deal here with the case of logarithmic potential and degenerate mobility as well an uniformly lipschitz in $u$ reaction ... More

Weak long distance contributions to the neutron and proton electric dipole momentsJun 10 1996We evaluate the long distance weak contribution to the neutron and proton electric dipole moments using an effective Lagrangian framework. We estimate the coefficients needed by a factorization hypothesis and additional assumptions on $\gamma_5$ terms ... More

Percolation and isoperimetry on roughly transitive graphsJul 28 2015Aug 02 2017In this paper we study percolation on a roughly transitive graph G with polynomial growth and isoperimetric dimension larger than one. For these graphs we are able to prove that p_c < 1, or in other words, that there exists a percolation phase. The main ... More

Generalized gradient flow structure of internal energy driven phase field systemsJul 14 2015In this paper we introduce a general abstract formulation of a variational thermomechanical model, by means of a unified derivation via a generalization of the principle of virtual powers for all the variables of the system, including the thermal one. ... More