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Quantitative and qualitative cohomological properties for non-Kähler manifoldsJul 25 2015Mar 18 2016We introduce a "qualitative property" for Bott-Chern cohomology of complex non-K\"ahler manifolds, which is motivated in view of the study of the algebraic structure of Bott-Chern cohomology. We prove that such a property characterizes the validity of ... More

A first study of the semi-leptonic decay of the $Λ_b$ baryonJul 29 1996We present the preliminary results of the first Lattice study of the baryonic Isgur and Wise function obtained from the matrix element of the weak current between $\Lambda$-baryon external states. Its dependence on the heavy and light quark masses is ... More

Heavy Baryon SpectroscopyNov 30 1994We present the preliminary results of an exploratory study of heavy baryon spectroscopy, using the $O(a)$-improved fermionic action. Estimates of masses and splittings at the charm and beauty physical limit are reported.

Cohomologies of locally conformally symplectic manifolds and solvmanifoldsMar 16 2017Mar 22 2017We study the Morse-Novikov cohomology and its almost-symplectic counterpart on manifolds admitting locally conformally symplectic structures. More precisely, we introduce lcs cohomologies and we study elliptic Hodge theory, dualities, Hard Lefschetz Condition. ... More

Pathwise construction of affine processesDec 25 2014Based on the theory of multivariate time changes for Markov processes, we show how to identify affine processes as solutions of certain time change equations. The result is a strong version of a theorem presented by J. Kallsen (2006) which provides a ... More

Homogenization of a transmission problem with Hamilton-Jacobi equations and a two-scale interface. Effective transmission conditionsJul 06 2017We consider a family of optimal control problems in the plane with dynamics and running costs possibly discontinuous across a two-scale oscillatory interface. Typically, the amplitude of the oscillations is of the order of $\epsilon$ while the period ... More

Low degree morphisms of E(5,10)-generalized verma modulesMar 27 2019In this paper we face the study of the representations of the exceptional Lie superalgebra E(5,10). We recall the construction of generalized Verma modules and give a combinatorial description of the restriction to sl_5 of the Verma module induced by ... More

Propagation of Chaos for a Balls into Bins ModelSep 21 2018Dec 18 2018Consider a finite number of balls initially placed in $L$ bins. At each time step a ball is taken from each non-empty bin. Then all the balls are uniformly reassigned into bins. This finite Markov chain is called Repeated Balls-into-Bins process and is ... More

Variational problems in conformal geometryJul 25 2019We study the Euler-Lagrange equation for several natural functionals defined on a conformal class of almost Hermitian metrics, whose expression involves the Lee form $\theta$ of the metric. We show that the Gauduchon metrics are the unique extremal metrics ... More

Rotating black holes in the FI-gauged $N=2$, $D=4$ $\overline{\mathbb{C}\text{P}}^n$ modelFeb 08 2019Mar 25 2019We construct supersymmetric black holes with rotation or NUT charge for the $\overline{\mathbb{C}\text{P}}^n$- and the $\text{t}^3$ model of $N=2$, $D=4$ $\text{U}(1)$ FI-gauged supergravity. The solutions preserve 2 real supercharges, which are doubled ... More

Note on Dolbeault cohomology and Hodge structures up to bimeromorphismsDec 24 2017We investigate the stability of the property of satisfying the $\partial\overline\partial$-Lemma under modifications of compact complex manifolds. More precisely, we study the Dolbeault cohomology of the blowing-up $\tilde X_Z$ of a compact complex manifold ... More

Rotating black holes in the FI-gauged $N=2$, $D=4$ $\overline{\mathbb{C}\text{P}}^n$ modelFeb 08 2019We construct supersymmetric black holes with rotation or NUT charge for the $\overline{\mathbb{C}\text{P}}^n$- and the $\text{t}^3$ model of $N=2$, $D=4$ $\text{U}(1)$ FI-gauged supergravity. The solutions preserve 2 real supercharges, which are doubled ... More

Note on Dolbeault cohomology and Hodge structures up to bimeromorphismsDec 24 2017Mar 25 2019We construct simply-connected compact complex manifolds satisfying the $\partial\overline\partial$-Lemma. This is done by investigating the stability of the property of satisfying the $\partial\overline\partial$-Lemma under modifications of compact complex ... More

Classification of linearly compact simple N=6 3-algebrasOct 18 2010Nov 07 2010$N\leq 8$ 3-algebras have recently appeared in N-supersymmetric 3-dimensional Chern-Simons gauge theories. In our previous paper we classified linearly compact simple N = 8 n-algebras for any $n \geq 3$. In the present paper we classify linearly compact ... More

Discontinous change from thermally- to geometrically- dominated effective interactions in colloidal solutionsAug 23 2016We report numerical results on the effective potential arising between two colloids immersed in a self-assembling cosolute which forms reversible clusters. The potential is evaluated at cosolute state points with different densities and temperatures but ... More

Tuning effective interactions close to the critical point in colloidal suspensionsSep 11 2012We report a numerical investigation of two colloids immersed in a critical solvent, with the aim of quantifying the effective colloid-colloid interaction potential. By turning on an attraction between the colloid and the solvent particles we follow the ... More

Effective transmission conditions for Hamilton-Jacobi equations defined on two domains separated by an oscillatory interfaceJun 09 2015We consider a family of optimal control problems in the plane with dynamics and running costs possibly discontinuous across an oscillatory interface $\Gamma_\epsilon$. The oscillations of the interface have small period and amplitude, both of the order ... More

Casimir-like forces at the percolation transitionAug 18 2013Jul 15 2014Percolation and critical phenomena show common features such as scaling and universality. Colloidal particles, immersed in a solvent close to criticality, experience long-range effective forces, named critical Casimir forces. %These originate from the ... More

Quasi Fibonacci approximation to the low tiny fluctuations of the Li-Keiper coefficients: a numerical computationApr 15 2019Using the first discrete derivatives for the expansion in z=0 of the oscillating part lambdatiny(n) =lambda n* of the "tiny" Li-Keiper coefficients , we analyse two series in the variable z=1-1/s ~0 for the first low values and compare them with the exact ... More

Spherical orbits and representations of $U_ε(\mathfrak g)$Jun 23 2003Dec 20 2003Let $U_\epsilon(\mathfrak g)$ be the simply connected quantized enveloping algebra associated to a finite-dimensional complex simple Lie algebra $\mathfrak g$ at the roots of unity. The De Concini-Kac-Procesi conjecture on the dimension of the irreducible ... More

A global existence result for a Keller-Segel type system with supercritical initial dataJun 19 2015We consider a parabolic-elliptic Keller-Segel type system, which is related to a simplified model of chemotaxis. Concerning the maximal range of existence of solutions, there are essentially two kinds of results: either global existence in time for general ... More

On a singular Liouville-type equation and the Alexandrov isoperimetric inequalitySep 06 2016We obtain a generalized version of an inequality, first derived by C. Bandle in the analytic setting, for weak subsolutions of a singular Liouville-type equation. As an application we obtain a new proof of the Alexandrov isoperimetric inequality on singular ... More

Self gravitating cosmic strings and the Alexandrov's inequality for Liouville-type equationsSep 10 2014Motivated by the study of self gravitating cosmic strings, we pursue the well known method by C. Bandle to obtain a weak version of the classical Alexandrov's isoperimetric inequality. In fact we derive some quantitative estimates for weak subsolutions ... More

Deterministic mean field games with control on the accelerationAug 09 2019In the present work, we study deterministic mean field games (MFGs) with finite time horizon in which the dynamics of a generic agent is controlled by the acceleration. They are described by a system of PDEs coupling a continuity equation for the density ... More

On the depth of quantum spaceJul 22 2011We focus on the question: "Is space fundamentally discrete or continuous?" in the context of current quantum gravity research. In particular, we paint a scenario based on the idea that 'quantum space' is a sort of peculiar condensed matter system, and ... More

A note on the multiplicative gamma processOct 11 2016Adaptive dimensionality reduction in high-dimensional problems is a key topic in statistics. The multiplicative gamma process prior takes a step in this direction, but improved studies on its properties are required to ease implementation. This note addresses ... More

X Ray Precursors in SGRs: Precessing Gamma Jet TailsMay 16 2001May 18 2001Weak isolated X-ray precursor events before the main Gamma Ray Burst, GRB, and also rare Soft Gamma Repeaters, SGR, events are in complete disagreement with any Fireball, or Magnetar, one-shoot explosive scenarios. Fireball model in last two years has ... More

GRBs and the Ghost of the FireballMar 17 2001Jan 17 2002Gamma Ray Burst has been widely believed in last decade to be super-explosions: the Fireball. We are argue on the contrary that GRBs (as well as Soft Gamma Repeaters SGR) are precessing Gamma Jets. We remind the list of contradiction that Fireball and ... More

Invisible Higgs in large extra dimension modelsAug 06 2004In large extra dimension models the presence of an interaction between the Ricci scalar curvature and the Higgs doublet of the Standard Model can give rise to an invisible decay of the Higgs to Kaluza Klein graviscalars. The corresponding invisible width ... More

Probing extra dimensions through the invisible Higgs decayMar 22 2005In the large extra dimension model of Arkani-Hamed, Dimopoulos and Dvali the presence of an interaction between the Ricci scalar curvature and the Higgs doublet of the Standard Model makes a light Higgs boson observable at LHC at the 5 sigma level through ... More

Universal Lagrangian BundlesApr 10 2013The obstruction to construct a Lagrangian bundle over a fixed integral affine manifold was constructed by Dazord and Delzant in \cite{daz_delz} and shown to be given by `twisted' cup products in \cite{sepe_lag}. This paper uses the topology of universal ... More

Yet again on two examples by Iyama and YoshinoSep 11 2014We give an elementary proof of Iyama-Yoshino's classification of rigid MCM modules on Veronese embeddings in P9.

Logic on the n-cubeJul 24 2012We endow the partially ordered set of nonempty faces of the n-cube with a distinguished 0-dimensional face and three operations that naturally extend the Rota-Metropolis partial operations. While the structures thus obtained turn out to be term-equivalent ... More

Group field theory as the 2nd quantization of Loop Quantum GravityOct 29 2013Aug 18 2015We construct a 2nd quantized reformulation of canonical Loop Quantum Gravity at both kinematical and dynamical level, in terms of a Fock space of spin networks, and show in full generality that it leads directly to the Group Field Theory formalism. In ... More

A note on the multiplicative gamma processOct 11 2016Oct 30 2016Adaptive dimensionality reduction in high-dimensional problems is a key topic in statistics. The multiplicative gamma process takes a relevant step in this direction, but improved studies on its properties are required to ease implementation. This note ... More

Gravitational collapse of Hagedorn fluidsMay 11 2016We consider a toy model for relativistic collapse of an homogeneous perfect fluid that takes into account an equation of state for high density matter, in the form of an Hagedorn phase, and semiclassical corrections in the strong field. We show that collapse ... More

Anisotropic fluid spheres in Hořava gravity and Einstein-æther theory with a non-static ætherJun 18 2019In this paper we consider spherically symmetric interior spacetimes filled by anisotropic fluids in the context of Ho\v{r}ava gravity and Einstein-aether theory. We assume a specific non-static configuration of the aether vector field and show that the ... More

Generating alternating and symmetric groups with two elements of fixed orderFeb 17 2018We answer a question raised by Lanier about the possibility of generating $A_n$ and $S_n$ with two elements of order $k$, where $n \geqslant k \geqslant 3$. We show that this can always be done apart from some clear exceptions.

Universal Lefschetz fibrations and Lefschetz cobordismsMar 10 2014Feb 24 2016We construct universal Lefschetz fibrations, defined in analogy with classical universal bundles. We also introduce the cobordism groups of Lefschetz fibrations, and we see how these groups are quotients of the singular bordism groups via the universal ... More

Rank 2 arithmetically Cohen-Macaulay bundles on a nonsingular cubic surfaceApr 24 2005Jul 27 2006Rank 2 indecomposable arithmetically Cohen-Macaulay bundles E on a nonsingular cubic surface X in P^3 are classified, by means of the possible forms taken by the minimal graded free resolution of E over P^3. The admissible values of the Chern classes ... More

On the orbital stability of standing-waves solutions to a coupled non-linear Klein-Gordon equationSep 13 2010May 29 2011We consider a system of two coupled non-linear Klein-Gordon equations. We show the existence of standing waves solutions and the existence of a Lyapunov function for the ground state.

Modular theory for the von Neumann algebras of Local Quantum PhysicsDec 08 2008In the first part, the second quantization procedure and the free Bosonic scalar field will be introduced, and the axioms for quantum fields and nets of observable algebras will be discussed. The second part is mainly devoted to an illustration of the ... More

Positive proportion of short intervals containing a prescribed number of primesDec 31 2018We will prove that for every $m\geq 0$ there exists an $\varepsilon=\varepsilon(m)>0$ such that if $0<\lambda<\varepsilon$ and $x$ is sufficiently large in terms of $m$ and $\lambda$, then $$|\lbrace n\leq x: |[n,n+\lambda\log n]\cap \mathbb{P}|=m\rbrace|\gg_{m,\lambda} ... More

Almost Lagrangian ObstructionJun 22 2011The aim of this paper is to describe the obstruction for an almost Lagrangian fibration to be Lagrangian, a problem which is central to the classification of Lagrangian fibrations and, more generally, to understanding the obstructions to carry out surgery ... More

On the structure of Selmer and Shafarevich-Tate groups of higher weight modular formsNov 12 2016May 01 2017Under a non-torsion assumption on Heegner points, results of Kolyvagin describe the structure of Shafarevich-Tate groups of elliptic curves. In this paper we prove analogous results for ($p$-primary) Shafarevich-Tate groups associated with higher weight ... More

Global bifurcation analysis of mean field equations and the Onsager microcanonical description of two-dimensional turbulenceSep 14 2016Oct 21 2016On strictly starshaped domains of second kind we find natural sufficient conditions which allow the solution of two long standing open problems closely related to the mean field equation $\prl$ below. On one side we catch the global behaviour of the Entropy ... More

On short expressions for cosets of permutation subgroupsMay 30 2018Oct 22 2018Following Babai's algorithm for the string isomorphism problem, we determine that it is possible to write expressions of short length describing certain permutation cosets, including all permutation subgroups; this is feasible both in the original version ... More

Reverse Khas'minskii conditionMay 13 2010Oct 20 2010The aim of this paper is to present and discuss some equivalent characterizations of p-parabolicity in terms of existence of special exhaustion functions. In particular, Khas'minskii in [K] proved that if there exists a 2-superharmonic function k defined ... More

The cohomologies of the Iwasawa manifold and of its small deformationsDec 18 2012We prove that, for some classes of complex nilmanifolds, the Bott-Chern cohomology is completely determined by the Lie algebra associated to the nilmanifold with the induced complex structure. We use these tools to compute the Bott-Chern and Aeppli cohomologies ... More

The invariably generating graph of the alternating and symmetric groupsJun 26 2017Given a finite group $G$, the invariably generating graph of $G$ is defined as the undirected graph in which the vertices are the nontrivial conjugacy classes of $G$, and two classes are connected if and only if they invariably generate $G$. In this paper ... More

Global bifurcation analysis of mean field equations and the Onsager microcanonical description of two-dimensional turbulenceSep 14 2016On strictly starshaped domains of second kind we find natural sufficient conditions which allow the solution of two long standing open problems closely related to the mean field equation $\prl$ below. On one side we catch the global behaviour of the Entropy ... More

Conjugate flow action functionalsOct 13 2011Oct 15 2013We present a new general method to construct an action functional for a non-potential field theory. The key idea relies on representing the governing equations of the theory relative to a diffeomorphic flow of curvilinear coordinates which is assumed ... More

Tests for a Strong Electroweak Sector at Future e^+e^- High Energy CollidersNov 19 1997Feb 09 1998The study of the scattering at high energy of the gauge bosons W and Z, in particular longitudinally polarized W and Z, can clarify the mechanism of spontaneous symmetry breaking in the Standard Model of the electroweak interactions. Different models ... More

GRBs by thin persistent precessing lepton Jets: the long life GRB110328 and the Neutrino signalAug 02 2011Mar 29 2012Gamma Ray Burst sources are apparently evolving around us in a harder and brighter samples at far and far redshift. The average output may range from a near Supernova (nearest events) output to a billion time that power for most distant events. Such a ... More

Tau air showers detectability with GLASTJun 12 2008We show that with GLAST there will be the possibility to detect, within the UHECR skimming at atmosphere edges, the showers generated by very high energy upward and horizontal Tau. The effective area, thanks to the large area covered by the showers at ... More

Arrays is Space to detect Upward Tau and Highest Altitude ShowersJul 05 2001Ultra High Energy, UHE, upward Tau neutrinos Tau, anti-neutrino Tau, above hundred TeVs and up to tens PeV energies, of relevant astrophysical nature, may lead to UHE Taus and consequent Up-ward Tau air-Showers {UPTAUS} after interaction on Earth crust ... More

Tau Air-Showers Signature of Ultra High Energy NeutrinosJan 31 2001The discover of Ultra High Energy Neutrino of astrophysical nature may be already reached. Indeed upward and horizontal tau Air-showers emerging from the Earth crust or mountain chains offer the best and most powerful signal of Ultra High Energy UHE neutrinos ... More

Neutrino Solar Flare detection for a saving alert system of satellites and astronautsJun 19 2011Largest Solar Neutrino Flare may be soon detectable by Deep Core neutrino detector immediately and comunicate to satellites or astronauts. Its detection is the fastest manifestation of a later (tens minutes,hours) dangerous cosmic shower. The precursor ... More

UHECR besides CenA: hints of galactic sourcesNov 23 2009Nov 26 2009Ultra High Energy Cosmic Rays, UHECR, maybe protons, as most still believe and claim, or nuclei; in particular lightest nuclei as we advocated recently. The first (Auger Collaboration) nucleon proposal (2007)[2] foresaw to trace clearly the UHECR GZK ... More

Horizontal and Upward Tau Airshowers in Valleys from Mountains and Space: Discovering UHE Neutrinos and New PhysicsJun 13 2001Upward and horizontal tau Air-showers emerging from the Earth crust or mountain chains are the most powerful signals of Ultra High Energy UHE neutrinos nu_{tau}, bar\nu_{tau} and bar{nu}_e at PeVs and higher energy. The multiplicity in tau Air-showers ... More

Regularity of the extremal solution for singular p-Laplace equationsJul 14 2014Sep 17 2014We study the regularity of the extremal solution $u^*$ to the singular reaction-diffusion problem $-\Delta_p u = \lambda f(u)$ in $\Omega$, $u =0$ on $\partial \Omega$, where $1<p<2$, $0 < \lambda < \lambda^*$, $\Omega \subset \mathbb{R}^n$ is a smooth ... More

UHECR and GRB neutrinos: an incomplete revolution?Aug 01 2014At highest energy edges Ultra High Energy Cosmic Ray, (UHECR) and PeVs neutrino (UHE neutrino), should soon offer new exciting astronomy. The fast and somehow contradictory growth of hundred of antagonist models shows the explosive vitality of those new ... More

On the p-Laplace operator on Riemannian manifoldsDec 14 2012Jan 24 2014This thesis covers different aspects of the p-Laplace operators on Riemannian manifolds. Chapter 2. Potential theoretic aspects: the Khasmkinskii condition. Chapter 3: sharp eigenvalue estimates with Ricci curvature lower bounds. Chapter 4: Critical sets ... More

The quantum geometry of tensorial group field theoriesNov 24 2012We remark the importance of adding suitable pre-geometric content to tensor models, obtaining what has recently been called tensorial group field theories, to have a formalism that could describe the structure and dynamics of quantum spacetime. We also ... More

Non-commutative quantum geometric data in group field theoriesMay 08 2014We review briefly the motivations for introducing additional group-theoretic data in tensor models, leading to the richer framework of group field theories, themselves a field theory formulation of loop quantum gravity. We discuss how these data give ... More

Notes on BPS Wilson Loops and the Cusp Anomalous Dimension in ABJM theoryDec 10 2013We introduce a new purely bosonic, $\frac{1}{6}$ BPS Wilson loop for ABJM theory on $S^3$ that couples scalar fields to a latitude at an angle $\theta$ on $S^2\in\mathbb{C}P^3$. Through localization of this operator, we relate the expansion of the cusp ... More

Search for the flavour-changing neutral current decay D0 to mu+mu- in pp collisions at sqrt(s) = 7 TeV with CMSAug 29 2012A search for the flavour-changing neutral current decay D0 to mu+mu- is performed in pp collisions at sqrt(s) = 7 TeV using 90 pb-1 of data collected by the CMS experiment at the LHC. No evidence is found for this decay mode. The upper limit on the branching ... More

A Model of Selective Advantage for the Efficient Inference of Cancer Clonal EvolutionFeb 15 2016Recently, there has been a resurgence of interest in rigorous algorithms for the inference of cancer progression from genomic data. The motivations are manifold: (i) growing NGS and single cell data from cancer patients, (ii) need for novel Data Science ... More

Angular and CP-violation analyses of $\bar{B}\to D^{*+} l^-\barν_{l}$ decays at hadron collider experimentsDec 19 2018The $\bar{B}\to D^{*+} l^-\bar{\nu}_{l}$ branching fraction ratio $R(D^{*})$ has shown intriguing discrepancies between the Standard Model prediction and measurements performed at BaBar, Belle and LHCb experiments, a possible sign of beyond the Standard ... More

Weighted Average Number of Prime $m$-tuples lying on an Admissible $k$-tuple of Linear FormsApr 17 2018We find an upper bound for the sum $\sum_{x<n\leq 2x}\textbf{1}_{\mathbb{P}}(n+h_{i_{1}})\cdots\textbf{1}_{\mathbb{P}}(n+h_{i_{m+1}})w_{n}$, where $(h_{i_{1}},...,h_{i_{m+1}})$ is any $(m+1)$-tuple of elements in the admissible set $\mathcal{H}=\{h_{1},...,h_{k}\}$, ... More

Apart Cen A are UHECR mostly heavy radioactive and galactic nuclei?Dec 29 2011Feb 28 2012Earliest AUGER UHECR anisotropy correlated with AGN within a GZK Universe almost fade away. Recent UHECR mass compositions did show a negligible nucleon composition and an UHECR nuclei (light or heavy) signature. The absence of UHECR events toward the ... More

Basic geometry of the affine group over ZFeb 03 2019The subject matter of this paper is the geometry of the affine group over the integers, $\mathsf{GL}(n,\mathbb{Z})\ltimes \mathbb{Z}^n$. Turing-computable complete $\mathsf{GL}(n,\mathbb{Z})\ltimes \mathbb{Z}^n$-orbit invariants are constructed for angles, ... More

Universal Lefschetz fibrations over bounded surfacesJun 17 2011Jul 08 2012In analogy with the vector bundle theory we define universal and strongly universal Lefschetz fibrations over bounded surfaces. After giving a characterization of these fibrations we construct very special strongly universal Lefschetz fibrations when ... More

Ulrich bundles on K3 surfacesJul 20 2018Jul 21 2019We show that any polarized K3 surface supports special Ulrich bundles of rank 2.

Bundles on the Fano threefold V_5Jul 16 2004Using an explicit resolution of the diagonal for the variety V_5, we provide cohomological characterizations of the universal and quotient bundles. A splitting criterion for bundles over V_5 is also proved. The presentation of semistable aCM (i.e. with ... More

Elliptic semi-linear systems on R\sp NMay 02 2010In this work we consider a system of k non-linear elliptic equations where the non-linear term is the sum of a quadratic form and a sub-critic term. We show that under suitable assumptions, e.g. when the non-linear term has a zero with non-zero coordinates, ... More

Short intervals containing a prescribed number of primesFeb 28 2018We prove that for every nonnegative integer $m$ there exists an $\varepsilon>0$ such that if $\lambda\in (0,\varepsilon]$ and $x$ is sufficiently large in terms of $m$, then the number of positive integers $n\leq x$ for which the interval $[n,n+\lambda\log ... More

Cohomologies of certain orbifoldsNov 12 2012We study the Bott-Chern cohomology of complex orbifolds obtained as quotient of a compact complex manifold by a finite group of biholomorphisms.

Classifying $GL(2,\mathbb Z) \ltimes \mathbb Z^{2}$-orbits by subgroups of $\mathbb R$Jan 15 2014Let $\mathcal G_2$ denote the affine group $GL(2,\mathbb Z) \ltimes \mathbb Z^{2}$. For every point $x=(x_1,x_2) \in \R2$ let $\orb(x)=\{y\in\R2\mid y=\gamma(x)$ for some $\gamma \in \mathcal{G}_2 \}$. Let $G_{x}$ be the subgroup of the additive group ... More

On concordances in 3-manifoldsFeb 17 2016We describe an action of the concordance group of knots in the three-sphere on concordances of knots in arbitrary 3-manifolds. As an application we define the notion of almost-concordance between knots. After some basic results, we focus the attention ... More

Global bifurcation analysis of mean field equations and the Onsager microcanonical description of two-dimensional turbulenceSep 14 2016Oct 20 2016On strictly starshaped domains of second kind we find natural sufficient conditions which allow the solution of two long standing open problems closely related to the mean field equation $\prl$ below. On one side we catch the global behaviour of the Entropy ... More

Upward and Horizontal Tau Airshowers by UHE NeutrinosNov 22 2001Dec 02 2001Upward and Horizontal Tau Air-showers (UPTAUS and HORTAUS) emerging from the Earth crust, mountain chains or deep plate boundaries are the most powerful signals of Ultra High Energy UHE anti neutrinos electron at PeV and neutrino and anti-neutrino tau ... More

GRBs, Fireballs and Precessing Gamma JetsApr 27 2001Fireballs are huge isotropic explosions models widely believed to explain Gamma Ray Burst, GRBs (Piran,1999); ever-new versions consider wide beamed (10^o) Jet explosions hitting external shells. On the contrary, since 1994-1998, we argued (Fargion 1995-2000; ... More

Detecting Ultra High Energy Neutrinos by Upward Tau Airshowers and Gamma FlashesMay 22 2000Tau Air-showers are the best trace of rarest Ultra High Energy neutrinos UHE $\nu_{\tau}$, $\bar\nu_{\tau}$ and $\bar{\nu}_e$ at PeV and higher energy. $\tau$ Air-showers may generate billion times amplified signals by their secondaries . Horizontal amplified ... More

UHECR by lightest nuclei in Nearby Universe and its parasite neutrino traceJun 19 2011UHECR mystery survived first Auger claims of AGN connection within a GZK (100 Mpc size) Universe. Last 2010 UHECR maps and compositions do show a much lower correlation with AGN SuperGalactic maps and with protons (the two main ingredient of that claim). ... More

Degenerate BESS at future $e^+e^-$ collidersDec 22 1995An effective lagrangian describing a strong interacting electroweak sector is considered. It contains new vector and axial-vector resonances all degenerate in mass and mixed with $W$ and $Z$. The model, for large mass of these degenerate gauge bosons, ... More

Operators on Bourgain-Delbaen's spacesSep 12 2016We prove that, for a suitable choice of real numbers $a, b$, every operator from $\ell_2$ to $X_{a,b}$ and from $X_{a,b}$ to $\ell_2$ must be compact, where $X_{a,b}$ is the Bourgain- Delbaen's space.

Observed galaxy number counts on the lightcone up to second order: III. Magnification BiasSep 06 2014Jul 21 2016We study up to second order the galaxy number over-density that depends on magnification in redshift space on cosmological scales for a concordance model. The result contains all general relativistic effects up to second order which arise from observing ... More

The differential semantics of Lukasiewicz syntactic consequenceJul 24 2012The classical condition "$\phi$ is a semantic consequence of $\Theta$" in infinite-valued propositional \L ukasiewicz logic \L$_\infty$ is refined using enriched valuations that take into account the effect on $\phi$ of the stability of the truth-value ... More

Positivity Sectors and the AmplituhedronJan 11 2016We initiate a detailed investigation into the assembly of simple amplituhedron-like building blocks to obtain spaces of physical interest. In particular, we describe the geometric process through which the building blocks, which we call positivity sectors, ... More

Geometric temperature and entropy of quantum isolated horizonsMay 29 2013May 29 2014By reintroducing Lorentz invariance in canonical loop quantum gravity, we define a geometrical notion of temperature for quantum isolated horizons. This is done by demanding that the horizon state satisfying the boundary conditions be a Kubo-Martin-Schwinger ... More

Radioactivity and fragmentation of UHECR: Correlating gamma anisotropy and neutrino PeV eventsSep 26 2012Dec 26 2013UHECR (Ultra High Energy Cosmic Rays) were expected to be protons, to fly straight and to suffer from a GZK (opacity on CMB radiation) cut off. AUGER suggested in 2007 that such early UHECR anisotropy was compatible with the foreseen Super-Galactic plane, ... More

The two-, three- and four-gluon sector of QCD in the Landau gaugeMar 17 2015Due to the nonperturbative masslessness of the ghost field, ghost loops that contribute to gluon Green's functions in the Landau gauge display infrared divergences, akin to those one would encounter in a conventional perturbative treatment. This is in ... More

Introductory notes on holographic superconductorsJan 07 2014Feb 14 2014The purpose of these lecture notes is to give a quick and introductory overview of holographic superconductors. Besides the actual description of the standard holographic superconductor, attention is paid to the motivations and the relation with the previous, ... More

On the Near-field of an Antenna and the Development of New DevicesJan 30 2012Dipole antennas have been invented a hundred years ago. Nevertheless, what really happens in their proximity during emission (the so-called near-field) is still an open question and the many explanations put forth are not fully convincing. Subject to ... More

Exact Solutions on Twisted Rings for the 3D Navier-Stokes EquationsDec 05 2011The problem of describing the behavior of the solutions to the Navier-Stokes equations in three space dimensions has always been borderline. From one side, due to the viscosity term, smooth data seem to produce solutions with an everlasting regular behavior. ... More

On the structure of Shafarevich-Tate groups of higher weight modular formsNov 12 2016Under a non-torsion assumption on Heegner points, results of Kolyvagin describe the structure of Shafarevich-Tate groups of elliptic curves. In this paper we prove analogous results for ($p$-primary) Shafarevich-Tate groups associated with higher weight ... More

Results from proton-lead and fixed-target collisions at LHCbMay 26 2019The latest results obtained by the LHCb collaboration from proton-lead and proton-gas fixed-target collisions are presented. Results related to charm and beauty flavour hadron and quarkonia production in proton-lead collisions, being clean probes for ... More

Classic and mirabolic Robinson-Schensted-Knuth correspondence for partial flagsMay 24 2010Jun 16 2011In this paper we first generalize to the case of partial flags a result proved both by Spaltenstein and by Steinberg that relates the relative position of two complete flags and the irreducible components of the flag variety in which they lie, using the ... More

Existence of positive solutions to a semi-linear elliptic system with a small energy/charge ratioOct 29 2011We prove the existence of positive solutions to a sys- tem of k non-linear elliptic equations corresponding to standing- wave k-uples solutions to a system of non-linear Klein-Gordon equations. Our solutions are characterised by a small energy/charge ... More