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Fate of the $η'$ in the Quark Gluon PlasmaMar 13 2019In this paper we study the $\eta'$ mass in $N_f=2+1+1$ lattice QCD simulations at finite temperature. Results are obtained from the analysis of the gluonic defined topological charge density correlator after gradient flow. Our results favour a small dip ... More

Chiral observables and topology in hot QCD with two families of quarksMay 15 2018Nov 08 2018We present results on QCD with four dynamical flavors in the temperature range $150$ MeV $\lesssim T \lesssim 500$ MeV. We have performed lattice simulations with Wilson fermions at maximal twist and measured Polyakov loop, chiral condensate and disconnected ... More

Topology (and axion's properties) from lattice QCD with a dynamical charmMay 04 2017We present results on QCD with four dynamical flavors in the temperature range $0.9 \lesssim T/T_c \lesssim 2$. We have performed lattice simulations with Wilson fermions at maximal twist and measured the topological charge with gluonic and fermionic ... More

Pseudo-Critical Temperature and Thermal Equation of State from $N_f=2$ Twisted Mass Lattice QCDDec 05 2012We report about the current status of our ongoing study of the chiral limit of two-flavor QCD at finite temperature with twisted mass quarks. We estimate the pseudo-critical temperature $T_c$ for three values of the pion mass in the range of $m_\mathrm{PS} ... More

Computing Matveev's complexity via crystallization theory: the boundary caseOct 16 2012The notion of Gem-Matveev complexity has been introduced within crystallization theory, as a combinatorial method to estimate Matveev's complexity of closed 3-manifolds; it yielded upper bounds for interesting classes of such manifolds. In this paper ... More

A note about complexity of lens spacesSep 23 2013Oct 16 2013Within crystallization theory, (Matveev's) complexity of a 3-manifold can be estimated by means of the combinatorial notion of GM-complexity. In this paper, we prove that the GM-complexity of any lens space L(p,q), with p greater than 2, is bounded by ... More

Lattice Monte-Carlo study of pre-conformal dynamics in strongly flavoured QCD in the light of the chiral phase transition at finite temperatureDec 05 2012Mar 18 2013We study the thermal phase transition in colour SU(3) Quantum Chromodynamics (QCD) with a variable number of fermions in the fundamental representation by using lattice Monte-Carlo simulations. We collect the (pseudo) critical couplings for N_f=(0, 4, ... More

G-degree for singular manifoldsJun 22 2017Dec 15 2017The G-degree of colored graphs is a key concept in the approach to Quantum Gravity via tensor models. The present paper studies the properties of the G-degree for the large class of graphs representing singular manifolds (including closed PL manifolds). ... More

The physics of eight flavoursOct 09 2008When the flavour content of QCD is increased sufficiently, the theory develops a non-trivial infra red fixed point. Thus, for a number of flavours above a certain critical value, but not yet so high that asymptotic freedom is lost, QCD becomes a conformal ... More

Thermodynamic Study for Conformal Phase in Large Nf Gauge TheoryNov 04 2011We investigate the chiral phase transition at finite temperature (T) in colour SU(3) Quantum Chromodynamics (QCD) with six species of fermions (Nf = 6) in the fundamental representation. The simulations have been performed by using lattice QCD with improved ... More

Chiral phase transition at finite temperature and conformal dynamics in large Nf QCDOct 14 2011Mar 09 2012We investigate the chiral phase transition at finite temperature (T) in colour SU(Nc=3) Quantum Chromodynamics (QCD) with six species of fermions (Nf=6) in the fundamental representation by using lattice QCD with improved staggered fermions. By considering ... More

Traces of a fixed point: Unravelling the phase diagram at large NfNov 11 2009With a sufficiently high number of fundamental fermionic flavours present, Yang-Mills theory develops an infrared fixed point and becomes (quasi-)conformal in nature. The range of flavour numbers for which this occurs defines the conformal window, the ... More

The bulk transition of many-flavour QCD and the search for a UVFP at strong couplingDec 29 2010We explore the nature of the bulk transition observed at strong coupling in the SU(3) gauge theory with Nf=12 fermions in the fundamental representation. The transition separates a weak coupling chirally symmetric phase from a strong coupling chirally ... More

QCD thermodynamics from an imaginary mu_B: results on the four flavor lattice modelJun 09 2004Jun 21 2004We study four flavor QCD at nonzero temperature and density by analytic continuation from an imaginary chemical potential. The explored region is T = 0.95 T_c < T < 3.5 T_c, and the baryochemical potentials range from 0 to approx. 500 MeV. Observables ... More

Study of finite temperature QCD with 2+1 flavors via Taylor expansion and imaginary chemical potentialDec 21 2010We study QCD with 2+1 flavors at nonzero temperature and nonzero chemical potential. We present preliminary results obtained from lattice calculations performed with an improved staggered fermions action (p4-action) on lattice with temporal extent N_t ... More

The physics of eight flavoursApr 17 2008May 30 2008We study Quantum Chromodynamics with eight flavours by use of lattice simulations and present evidence that the theory still breaks chiral symmetry in the zero temperature, continuum limit. This confirms that the lower end of the conformal window of QCD ... More

On the spectrum of QCD-like theories and the conformal windowJan 09 2012We report on the spectrum of the SU(3) gauge theory with twelve flavours in the fundamental representation of the gauge group. We isolate distinctive features of the hadronic phase - the one proper of QCD at zero temperature - and the so called conformal ... More

Topology in colored tensor models via crystallization theoryApr 10 2017Mar 07 2018The aim of this paper is twofold. On the one hand, it provides a review of the links between random tensor models, seen as quantum gravity theories, and the PL-manifolds representation by means of edge-colored graphs (crystallization theory). On the other ... More

Glueballs and the superfluid phase of Two-Color QCDApr 30 2008Aug 22 2008We present the first results on scalar glueballs in cold, dense matter using lattice simulations of two color QCD. The simulations are carried out on a $6^3 \times 12$ lattice and use a standard hybrid molecular dynamics algorithm for staggered fermions ... More

Lowest eigenvalues of the Dirac operator for two color QCD at nonzero chemical potentialOct 11 2001We investigate the eigenvalue spectrum of the staggered Dirac matrix in SU(3) and U(1) gauge theory as well as in full QCD with two colors and finite chemical potential. Along the strong-coupling axis up to the phase transition, the low-lying Dirac spectrum ... More

Eigenvalues of the QCD Dirac operator at finite temperature and densitySep 15 2000We investigate the eigenvalue spectrum of the staggered Dirac matrix in two-color QCD at nonzero temperature and at baryon density when the eigenvalues become complex. The quasi-zero modes and their role for chiral symmetry breaking and the deconfinement ... More

The strongly interacting Quark Gluon Plasma, and the critical behaviour of QCD at imaginary chemical potentialMay 25 2007Jun 07 2007We explore the highly non-perturbative hot region of the QCD phase diagram close to Tc by use of an imaginary chemical potential mu which avoids the sign problem. The number density and the quark number susceptibility are consistent with a critical behaviour ... More

Lowest eigenvalues of the Dirac operator for two color QCD at finite densityOct 11 2001We investigate the eigenvalue spectrum of the staggered Dirac matrix in full QCD with two colors and finite chemical potential. Along the strong-coupling axis up to the temperature phase transition, the low-lying Dirac spectrum is well described by random ... More

QCD at High Temperature : Results from Lattice Simulations with an Imaginary muNov 15 2005We summarize our results on the phase diagram of QCD with emphasis on the high temperature regime. For $T \ge 1.5 T_c$ the results are compatible with a free field behavior, while for $T \simeq 1.1 T_c$ this is not the case, clearly exposing the strongly ... More

Dirac and Gor'kov spectra in two color QCD with chemical potentialOct 11 2000We analyze the eigenvalue spectrum of the staggered Dirac matrix in two-color QCD at nonzero baryon density when the eigenvalues become complex. The quasi-zero modes and their role for chiral symmetry breaking and the deconfinement transition are examined. ... More

Bounds for Serre's open image theorem for elliptic curves over number fieldsMar 15 2014Oct 08 2015For $E/K$ an elliptic curve without complex multiplication we bound the index of the image of $\operatorname{Gal}(\bar{K}/K)$ in $\operatorname{GL}_2(\hat{\mathbb{Z}})$, the representation being given by the action on the Tate modules of $E$ at the various ... More

Magnetostatic problems in fractal domainsMay 21 2018Dec 03 2018We consider a magnetostatic problem in a 3D "cylindrical" domain of Koch type. We prove existence and uniqueness results for both the fractal and pre-fractal problems and we investigate the convergence of the pre-fractal solutions to the limit fractal ... More

Roots of unity and torsion points of abelian varietiesJul 03 2015Dec 31 2015We answer a question raised by Hindry and Ratazzi concerning the intersection between cyclotomic extensions of a number field $K$ and extensions of $K$ generated by torsion points of an abelian variety over $K$. We prove that a weak version of the property ... More

Explicit open image theorems for abelian varieties with trivial endomorphism ringAug 06 2015Jan 04 2016Let $K$ be a number field and $A/K$ be an abelian variety of dimension $g$ with $\operatorname{End}_{\overline{K}}(A)=\mathbb{Z}$. We provide a semi-effective bound $\ell_0(A/K)$ such that the natural Galois representation attached to $T_\ell A$ is onto ... More

An explicit open image theorem for products of elliptic curvesJan 19 2015Nov 29 2015Let $K$ be a number field and $E_1, \ldots, E_n$ be elliptic curves over $K$, pairwise non-isogenous over $\overline{K}$ and without complex multiplication over $\overline{K}$. We study the image of the adelic representation of the absolute Galois group ... More

P wave bottomonium spectral functions in the QGP from lattice NRQCDNov 05 2013We present an overview of bottomonium spectral functions in the quark-gluon plasma, obtained by the FASTSUM collaboration, using lattice QCD simulations with two light quark flavours on anisotropic lattices. The bottom quark is treated nonrelativistically. ... More

Towards thermodynamics with $N_f=2+1+1$ twisted mass quarksNov 07 2013We present preliminary results achieved within a recently started project dealing with QCD thermodynamics in the presence of a fully dynamical second quark family. We are employing the Wilson twisted mass discretization. To reduce the amount of zero temperature ... More

The bulk transition of QCD with twelve flavors and the role of improvementSep 25 2012We study the SU(3) gauge theory with Nf=12 flavors in the fundamental representation by use of lattice simulations with staggered fermions. With a non-improved action we observe a chiral zero-temperature (bulk) transition separating a region at weak coupling, ... More

Density profiles of small Dirac operator eigenvalues for two color QCD at nonzero chemical potential compared to matrix modelsSep 12 2004We investigate the eigenvalue spectrum of the staggered Dirac matrix in two color QCD at finite chemical potential. The profiles of complex eigenvalues close to the origin are compared to a complex generalization of the chiral Gaussian Symplectic Ensemble, ... More

Bulk transitions of twelve flavor QCD and $U_A(1)$ symmetryNov 10 2011We present an update on our ongoing study on the nature of the bulk transition observed at strong coupling in the SU(3) gauge theory with N_f = 12 flavors in the fundamental representation. We show evidence that there is a first order chiral symmetry ... More

Symmetries and spectrum of SU(2) Lattice Gauge Theory at finite chemical potentialFeb 25 1999We study SU(2) Lattice Gauge Theory with dynamical fermions at non-zero chemical potential $\mu$. The symmetries special to SU(2) for staggered fermions on the lattice are discussed explicitly and their relevance to spectroscopy and condensates at non-zero ... More

Approaching ConformalityNov 06 2014We investigate the preconformal region of the phase diagram of SU(3) theories with fundamental flavors. We have simulated SU(3) theories with six and eight fundamental flavors at volumes 32^3 x 64. We use the generated configurations to measure the string ... More

Chiral Symmetry Restoration and Realisation of the Goldstone Mechanism in the U(1) Gross-Neveu Model at Non-Zero Chemical PotentialFeb 25 1999We simulate the Gross-Neveu model in 2+1 dimensions at nonzero baryon density (chemical potential mu =/= 0). It is possible to formulate this model with a real action and therefore to perform standard hybrid Monte Carlo simulations with mu =/= 0 in the ... More

Massive Star FormationFeb 05 2014Sep 18 2014The enormous radiative and mechanical luminosities of massive stars impact a vast range of scales and processes, from the reionization of the universe, to the evolution of galaxies, to the regulation of the interstellar medium, to the formation of star ... More

Non-Riemmanian geometry, force-free magnetospheres and the generalized Grad-Shafranov equationDec 09 2018The magnetosphere structure of a magnetar is considered in the context of a theory of gravity with dynamical torsion field beyond the standard General Relativity (GR). To this end, the axially symmetric version of the Grad-Shafranov equation (GSE) is ... More

Non-Riemannian geometry, Born-Infeld models and trace free gravitational equationsAug 15 2017Aug 18 2017Non-Riemannian generalization of the standard Born-Infeld (BI) Lagrangian is introduced and analized from a theory of gravitation with dynamical torsion field. The field equations derived from the proposed action lead to a trace free gravitational equation ... More

The bottomonium spectrum at finite temperature from $N_f=2+1$ lattice QCDFeb 25 2014We present results on the bottomonium spectrum at temperatures above and below the deconfinement crossover temperature, $T_c$, from dynamical lattice QCD simulations. The heavy quark is treated with a non-relativistic effective field theory on the lattice ... More

Bottomonium spectrum at finite temperatureNov 13 2013Nov 15 2013We investigate the modification of S and P wave states in the bottomonium spectrum above and below the deconfinement crossover temperature through their spectral functions obtained from the maximum entropy method. Anisotropic ensembles with $N_f=2+1$ ... More

From SU(2) gauge theory to qubits on the fuzzy sphereMar 31 2013We consider a classical pure SU(2) gauge theory, and make an ansatz, which separates the space-temporal degrees of freedom from the internal ones. This ansatz is gauge-invariant but not Lorentz invariant. In a limit case of the ansatz, obtained through ... More

Quantum Mind from a Classical Field Theory of the BrainApr 13 2011We suggest that, with regard to a theory of quantum mind, brain processes can be described by a classical, dissipative, non-abelian gauge theory. In fact, such a theory has a hidden quantum nature due to its non-abelian character, which is revealed through ... More

I, Quantum Robot: Quantum Mind control on a Quantum ComputerDec 25 2008May 28 2009The logic which describes quantum robots is not orthodox quantum logic, but a deductive calculus which reproduces the quantum tasks (computational processes, and actions) taking into account quantum superposition and quantum entanglement. A way toward ... More

Beyond UndecidableJun 28 2006The predicate complementary to the well-known Godel's provability predicate is defined. From its recursiveness new consequences concerning the incompleteness argumentation are drawn and extended to new results of consistency, completeness and decidability ... More

Thermal transition temperature from twisted mass QCDSep 20 2010We present the current status of lattice simulations with N_f=2 maximally twisted mass Wilson fermions at finite temperature. In particular, the determination of the thermal transition temperature is discussed.

Quantitative morphology and color gradients of E+A galaxies in distant galaxy clustersJan 20 1997Narrow band multifilter photometry of the galaxy populations of four galaxy clusters at z=0.4-0.5 has provided us with a sample of 73 E+A galaxies which are secure cluster members. For 34 of them HST images are available (WFPC2). We have determined surface ... More

Observations concerning Gödel's 1931Jun 02 2003Nov 04 2009This article demonstrates the invalidity of Theorem VI of Godel's monograph of 1931, showing that propositions (15) and (16), derived from definition (8.1), in its proof, are false in PA. This is achieved in two steps. First, the predicate complementary ... More

Correspondences between K3 surfacesNov 07 2002May 05 2003In this paper we show that there is a correspondence between some $K3$ surfaces with non-isometric transcendental lattices constructed as a twist of the transcendental lattice of the Jacobian of a generic genus 2 curve. Moreover, we show the existence ... More

Abelian varieties as automorphism groups of smooth projective varietiesJan 06 2018We determine which complex abelian varieties can be realized as the automorphism group of a smooth projective variety.

What happens to the Upsilon and eta_b in the quark-gluon plasma? Bottomonium spectral functions from lattice QCDSep 21 2011Nov 21 2011We study bottomonium spectral functions in the quark-gluon plasma in the Upsilon and eta_b channels, using lattice QCD simulations with two flavours of light quark on highly anisotropic lattices. The bottom quark is treated with nonrelativistic QCD (NRQCD). ... More

Quark-gluon plasma phenomenology from the latticeOct 18 2013The FASTSUM Collaboration has calculated several quantities relevant for QCD studies at non-zero temperature using the lattice technique. We report here our results for the (i) interquark potential in charmonium; (ii) bottomonium spectral functions; and ... More

S wave bottomonium states moving in a quark-gluon plasma from lattice NRQCDOct 10 2012Feb 28 2013We extend our study of bottomonium spectral functions in the quark-gluon plasma to nonzero momentum. We use lattice QCD simulations with two flavours of light quark on highly anisotropic lattices and treat the bottom quark with nonrelativistic QCD (NRQCD). ... More

Computing twists of hyperelliptic curvesNov 15 2016Sep 26 2018We give an efficient algorithm to compute equations of twists of hyperelliptic curves of arbitrary genus over any separable field (of characteristic different from 2), and we explicitly describe some interesting examples.

Nonorientable 3-manifolds admitting coloured triangulations with at most 30 tetrahedraMay 10 2007We present the census of all non-orientable, closed, connected 3-manifolds admitting a rigid crystallization with at most 30 vertices. In order to obtain the above result, we generate, manipulate and compare, by suitable computer procedures, all rigid ... More

Two topics from lattice NRQCD at non-zero temperature: heavy quark mass dependence and S-wave bottomonium states moving in a thermal bathOct 29 2012Using Non-Relativistic QCD (NRQCD), we study heavy quark mass dependence of S-wave and P-wave bottomonium correlators for 0.42Tc <= T <= 2.09Tc and study spectral functions of S-wave bottomonium states moving in a thermal bath at these temperatures using ... More

Bottomonium at Non-zero Temperature from Lattice Non-relativistic QCDSep 07 2011Sep 12 2011The temperature dependence of bottomonium states at temperatures above and below $T_c$ is presented, using non-relativistic dynamics for the bottom quark and full relativistic lattice QCD simulations for two light flavors on a highly anisotropic lattice. ... More

Riemannian symmetries in flag manifoldsApr 11 2012Flag manifolds are in general not symmetric spaces. But they are provided with a structure of $\mathbb{Z}_2^k$-symmetric space. We describe the Riemannian metrics adapted to this structure and some properties of reducibility. We detail for the flag manifold ... More

A Mathematical Model for Signal's Energy at the Output of an Ideal DACNov 26 2015Mar 21 2016The presented research work considers a mathematical model for energy of the signal at the output of an ideal DAC, in presence of sampling clock jitter. When sampling clock jitter occurs, the energy of the signal at the output of ideal DAC does not satisfies ... More

A density result for Sobolev spaces in dimension two, and applications to stability of nonlinear Neumann problemsOct 27 2005We prove that if $\Om \subseteq \R^2$ is bounded and $\R^2 \setminus \Om$ satisfies suitable structural assumptions (for example it has a countable number of connected components), then $W^{1,2}(\Om)$ is dense in $W^{1,p}(\Om)$ for every $1\le p<2$. The ... More

Regularity of Nash payoffs of Markovian nonzero-sum stochastic differential gamesNov 07 2017Oct 23 2018In this paper we deal with the problem of existence of a smooth solution of the Hamilton-Jacobi-Bellman-Isaacs (HJBI for short) system of equations associated with nonzero-sum stochastic differential games. We consider the problem in unbounded domains ... More

Prym map and second gaussian map for Prym-canonical line bundlesMay 23 2011Feb 25 2013We show that the second fundamental form of the Prym map lifts the second gaussian map of the Prym-canonical bundle. We prove, by degeneration to binary curves, that this gaussian map is surjective for the general point [C,A] of R_g for g > 19.

Observability of rectangular membranes and plates on small setsAug 21 2013Since the works of Haraux and Jaffard we know that rectangular plates may be observed by subregions not satisfying the geometrical control condition. We improve these results by observing only on an arbitrarily short segment inside the domain. The estimates ... More

Generalized companion matrix for approximate GCDFeb 09 2011We study a variant of the univariate approximate GCD problem, where the coefficients of one polynomial f(x)are known exactly, whereas the coefficients of the second polynomial g(x)may be perturbed. Our approach relies on the properties of the matrix which ... 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

Compact 3-manifolds via 4-colored graphsApr 18 2013Sep 22 2015We introduce a representation of compact 3-manifolds without spherical boundary components via (regular) 4-colored graphs, which turns out to be very convenient for computer aided study and tabulation. Our construction is a direct generalization of the ... More

On the first Gaussian map for Prym-canonical line bundlesOct 29 2012Jun 25 2013We prove by degeneration to Prym-canonical binary curves that the first Gaussian map of the Prym canonical line bundle $\omega_C \otimes A$ is surjective for the general point [C,A] of R_g if g >11, while it is injective if g < 12.

Siegel metric and curvature of the moduli space of curvesMay 22 2008We study the curvature of the moduli space M_g of curves of genus g with the Siegel metric induced by the period map. We give an explicit formula for the holomorphic sectional curvature of M_g along a Schiffer variation at a point P on the curve X, in ... More

Some results on the second Gaussian map for curvesMay 22 2008We study the second Gaussian map for a curve X of genus g, in relation with the second fundamental form of the period map. We exhibit a class of infinitely many curves with surjective second Gaussian map. We compute its rank on the hyperelliptic and trigonal ... More

Coherent States, Superpositions of Coherent States and Uncertainty Relations on a Möbius StripJun 16 2013Since symmetry properties of coherent states (CS) on M\"obius strip (MS) and fermions are closely related, CS on MS are naturally associated to the topological properties of fermionic fields. Here we consider CS and superpositions of coherent states (SCS) ... More

Geometric phase corrections on a moving particle in front of a dielectric mirrorJul 21 2017We consider an atom (represented by a two-level system) moving in front of a dielectric plate, and study how traces of dissipation and decoherence (both effects induced by vacuum field fluctuations) can be found in the corrections to the unitary geometric ... More

Medium polarization effects in 3SD1 spin-triplet pairingAug 21 2018Nov 14 2018Stimulated by the still puzzling competition between spin-singlet and spin-triplet pairing in nuclei, the 3SD1 neutron-proton pairing is investigated in the framework of BCS theory of nuclear matter. The medium polarization effects are included in the ... More

Dynamical breaking of symmetries beyond the standard model and supergeometryDec 14 2018Group theoretical realizations containing the electroweak sector of the Standard Model are discussed from the supersymmetry point of view. Dynamical breaking of the symmetry is performed and the corresponding quadratic (super Yang-Mills) Lagrangian is ... More

Comparison principles and Dirichlet problem for equations of Monge-Ampere type associated to vector fieldsDec 22 2009We study the Dirichlet problem for subelliptic partial differential equations of Monge-Ampere type involving the derivates with respect to a family X of vector fields of Carnot type. The main result is a comparison principle among viscosity subsolutions, ... More

Equitable block colouringsJun 20 2014Let $\Sigma=(X,\mathcal B)$ a $4$-cycle system of order $v=1+8k$. A $c$-colouring of type $s$ is a map $\phi\colon \mathcal B\rightarrow \mathcal C$, with $C$ set of colours, such that exactly $c$ colours are used and for every vertex $x$ all the blocks ... 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

A Quantitative Central Limit Theorem for the Excursion Area of Random Spherical Harmonics over Subdomains of $\mathbb{S}^2$Jul 18 2018In recent years, considerable interest has been drawn by the analysis of geometric functionals for the excursion sets of random eigenfunctions on the unit sphere (spherical harmonics). In this paper, we extend those results to proper subsets of the sphere ... More

BHK mirror symmetry for K3 surfaces with non-symplectic automorphismApr 02 2017Feb 14 2018In this paper we consider the class of K3 surfaces defined as hypersurfaces in weighted projective space, and admitting a non-symplectic automorphism of non-prime order, excluding the orders 4, 8, and 12. We show that on these surfaces the Berglund-H\"ubsch-Krawitz ... More

The Aw-Rascle traffic model with locally constrained flowJun 30 2010We consider solutions of the Aw-Rascle model for traffic flow fulfilling a constraint on the flux at $x=0$. Two different kinds of solutions are proposed: at $x=0$ the first one conserves both the number of vehicles and the generalized momentum, while ... More

A traffic flow model with non-smooth metric interaction: well-posedness and micro-macro limitOct 15 2015We prove existence and uniqueness of solutions to a transport equation modelling vehicular traffic in which the velocity field depends non-locally on the downstream traffic density via a discontinuous anisotropic kernel. The result is obtained recasting ... More

Abstract Canonical InferenceJun 17 2004Sep 13 2006An abstract framework of canonical inference is used to explore how different proof orderings induce different variants of saturation and completeness. Notions like completion, paramodulation, saturation, redundancy elimination, and rewrite-system reduction ... More

Algebraic Characterization of the Class of Languages recognized by Measure Only Quantum AutomataJun 08 2012Jul 16 2012We study a model of one-way quantum automaton where only measurement operations are allowed (MOn-1qfa). We give an algebraic characterization of LMO, showing that the syntactic monoids of the languages in LMO are exactly the literal pseudovariety of J-trivial ... More

Isotypical Components of Rational FunctionsNov 19 2015A finite group of Moebius transformations acts on the field of rational functions, which in turn decomposes into isotypical components. In spite of the modest group sizes, it is a substantial computational problem to obtain an explicit description of ... More

Screening Effects in Superfluid Nuclear and Neutron Matter within Brueckner TheoryAug 01 2006Effects of medium polarization are studied for $^1S_0$ pairing in neutron and nuclear matter. The screening potential is calculated in the RPA limit, suitably renormalized to cure the low density mechanical instability of nuclear matter. The selfenergy ... More

Quark-gluon plasma phenomenology from anisotropic lattice QCDDec 30 2014The FASTSUM collaboration has been carrying out simulations of N_f=2+1 QCD at nonzero temperature in the fixed-scale approach using anisotropic lattices. Here we present the status of these studies, including recent results for electrical conductivity ... More

YSO disk structure and planetary signaturesDec 28 1999Detailed radial/vertical structure modeling of observations of disks around Young Stellar Objects (YSOs) can provide information on the physical conditions and on the characteristics of the gas and dust in their interiors. We describe recent results of ... More

Willmore-Helfrich L^{2}-flow of curves with natural boundary conditionsNov 05 2012Feb 03 2013We consider regular open curves in R^n with fixed boundary points and moving according to the L^{2}-gradient flow for a generalisation of the Helfrich functional. Natural boundary conditions are imposed along the evolution. More precisely, at the boundary ... More

Local and nonlocal solvable structures in ODEs reductionJul 21 2008Nov 27 2008Solvable structures, likewise solvable algebras of local symmetries, can be used to integrate scalar ODEs by quadratures. Solvable structures, however, are particularly suitable for the integration of ODEs with a lack of local symmetries. In fact, under ... More

A note on $\aleph_α$-saturated o-minimal expansions of real closed fieldsDec 17 2011Oct 23 2015We give necessary and sufficient conditions for a polynomially bounded o-minimal expansion of a real closed field (in a language of arbitrary cardinality) to be $\aleph_{\alpha}$-saturated. The conditions are in terms of the value group, residue field, ... More

Peccei-Quinn Transformations and Black Holes : Orbit Transmutations and Entanglement GenerationDec 01 2016Feb 20 2017In a recent paper [Mod. Phys. Lett. A30 (2015) 1550104], the black-hole/qubit correspondence (BHQC) was exploited to define "black hole quantum circuits" allowing for a change of the supersymmetry-preserving features of electromagnetic charge configurations ... More

Homogeneous Edge-Colorings of GraphsMar 20 2012Let G = (V, E) be a multigraph without loops and for any x {\in}V let E(x) be the set of edges of G incident to x. A homogeneous edge-coloring of G is an assignment of an integer m >= 2 and a coloring c:E {\to} S of the edges of Gsuchthat|S| = mandforanyx{\in}V,if|E(x)| ... More

Constructive version of Boolean algebraMar 22 2012The notion of overlap algebra introduced by G. Sambin provides a constructive version of complete Boolean algebra. Here we first show some properties concerning overlap algebras: we prove that the notion of overlap morphism corresponds classically to ... More

Constraining the thermally-pulsing asymptotic giant branch phase with resolved stellar populations in the Small Magellanic CloudMar 11 2019The thermally-pulsing asymptotic giant branch (TP-AGB) experienced by low- and intermediate-mass stars is one of the most uncertain phases of stellar evolution and the models need to be calibrated with the aid of observations. To this purpose, we couple ... More

A new treatment of the in-medium chiral condensatesSep 26 2003A new formalism to calculate the in-medium chiral condensate is presented. At lower densities, this approach leads to a linear expression. If we demand a compatibility with the famous model-independent result, then the pion-nucleon sigma term should be ... More

Analysis of reinforced concrete beams by the equivalent section methodFeb 10 2014This research investigates the analysis of reinforced concrete beams subjected to combined axial load, bending moment and shear force. Cross-sections of general shape are divided, along the height, into plane elements. The biaxial behavior is represented ... More

Deep Probabilistic Video CompressionOct 05 2018We propose a variational inference approach to deep probabilistic video compression. Our model uses advances in variational autoencoders (VAEs) for sequential data and combines it with recent work on neural image compression. The approach jointly learns ... More

Numerical approach to simulating interference phenomena in a two-oscillating mirrors cavityMar 08 2017We study photon creation in a cavity with two perfectly conducting moving mirrors. We derive the dynamic equations of the modes and study different situations concerning various movements of the walls, such as translational or breathing modes. We can ... More

CARS and SHG microscopy to follow the collagen production in living human corneal fibroblasts and mesenchymal stem cells in fibrin gel 3D culturesSep 27 2011Coherent anti-Stokes Raman scattering (CARS) microscopy is combined with second harmonic generation (SHG) technique in order to follow the early stage of stem cell differentiation within a 3D scaffold. CARS microscopy can detect lipid membranes and droplet ... More