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Inflationary stochastic anomaliesJun 26 2018Feb 25 2019The stochastic approach aims at describing the long-wavelength part of quantum fields during inflation by a classical stochastic theory. It is usually formulated in terms of Langevin equations, giving rise to a Fokker-Planck equation for the probability ... More

Revisiting non-Gaussianity in multifield inflation with curved field spaceJul 24 2019Recent studies of inflation with multiple scalar fields have highlighted the importance of non-canonical kinetic terms in novel types of inflationary solutions. This motivates a thorough analysis of non-Gaussianities in this context, which we revisit ... More

Imprint of DESI fiber assignment on the anisotropic power spectrum of emission line galaxiesNov 15 2016The Dark Energy Spectroscopic Instrument (DESI), a multiplexed fiber-fed spectrograph, is a Stage-IV ground-based dark energy experiment aiming to measure redshifts for 29 million Emission-Line Galaxies (ELG), 4 million Luminous Red Galaxies (LRG), and ... More

Hyper non-Gaussianities in inflation with strongly non-geodesic motionFeb 08 2019Several recent proposals to embed inflation into high-energy physics rely on inflationary dynamics characterized by a strongly non-geodesic motion in negatively curved field space. This naturally leads to a transient instability of perturbations on sub-Hubble ... More

The effect of limiting resources in aging populationsNov 29 2010The concept of a carrying capacity is essential in most models to prevent unlimited growth. Despite the large amount of deaths it introduces, the actual influence of the Verhulst term in simulations is often times not accounted for. Generally, it is treated ... More

Safe Recursion on Notation into a Light Logic by LevelsMay 04 2010We embed Safe Recursion on Notation (SRN) into Light Affine Logic by Levels (LALL), derived from the logic L4. LALL is an intuitionistic deductive system, with a polynomial time cut elimination strategy. The embedding allows to represent every term t ... More

Quantum bright solitons in a quasi-one-dimensional optical latticeJan 31 2014Jun 04 2014We study a quasi-one-dimensional attractive Bose gas confined in an optical lattice with a superimposed harmonic potential by analyzing the effective one-dimensional Bose-Hubbard Hamiltonian of the system. In order to have a reliable description of the ... More

From Lock Freedom to Progress Using Session TypesDec 10 2013Inspired by Kobayashi's type system for lock freedom, we define a behavioral type system for ensuring progress in a language of binary sessions. The key idea is to annotate actions in session types with priorities representing the urgency with which such ... More

Linear lambda Calculus with Explicit Substitutions as Proof-Search in Deep InferenceNov 16 2010May 26 2011SBV is a deep inference system that extends the set of logical operators of multiplicative linear logic with the non commutative operator Seq. We introduce the logical system SBVr which extends SBV by adding a self-dual atom-renaming operator to it. We ... More

A Discussion on the Heisenberg Uncertainty Principle from the Perspective of Special RelativityJan 09 2015Sep 16 2016In this note, we consider the implications of the Heisenberg uncertainty principle (HUP) when computing uncertainties that affect the main dynamical quantities, from the perspective of special relativity. Using the well-known formula for propagating statistical ... More

Conformal metrics on R^{2m} with constant Q-curvature and large volumeFeb 06 2012We study conformal metrics on R^{2m} with constant Q-curvature and finite volume. When m=3 we show that there exists V* such that for any V\in [V*,\infty) there is a conformal metric g on R^{6} with Q_g = Q-curvature of S^6, and vol(g)=V. This is in sharp ... More

Classification of solutions to the higher order Liouville's equation on R^{2m}Jan 17 2008We classify the solutions to the equation (- \Delta)^m u=(2m-1)!e^{2mu} on R^{2m} giving rise to a metric g=e^{2u}g_{R^{2m}} with finite total $Q$-curvature in terms of analytic and geometric properties. The analytic conditions involve the growth rate ... More

Discrete bright solitons in Bose-Einstein condensates and dimensional reduction in quantum field theoryNov 01 2014Nov 04 2014We first review the derivation of an effective one-dimensional (1D) discrete nonpolynomial Schr\"odinger equation from the continuous 3D Gross-Pitaevskii equation with transverse harmonic confinement and axial periodic potential. Then we study the bright ... More

Two-dimensional quasi-ideal Fermi gas with Rashba spin-orbit couplingNov 16 2013Nov 22 2013We investigate the zero-temperature properties of a quasi-ideal Fermi gas with Rashba spin-orbit coupling. We find that the spin-orbit term strongly affects the speeds of zero sound and first sound in the Fermi gas, due to the presence of a third-order ... More

Contact intensity and extended hydrodynamics in the BCS-BEC crossoverOct 12 2012In the first part of this chapter we analyze the contact intensity $C$, which has been introduced by Tan [Ann. Phys. 323, 2952 (2008)] and appears in several physical observables of the strongly correlated two-component Fermi gas. We calculate the contact ... More

Supersonic and subsonic shock waves in the unitary Fermi gasOct 03 2011We investigate shock waves in the unitary Fermi gas by using the zero-temperature equations of superfluid hydrodynamics. We obtain analytical solutions for the dynamics of a localized perturbation of the uniform gas. These supersonic bright and subsonic ... More

Triaxial Bright Solitons in Bose-Condensed Atomic VaporsJul 25 2004The properties of triaxial bright solitons (TBSs) made of attractive Bose-Einstein condensed atoms under transverse anisotropic harmonic confinement are investigated by using a variational approach. We show that these metastable TBSs change their shape ... More

Statistical Mechanics of a Trapped Bose-Einstein CondensateMar 26 1998Bose-Einstein condensation (BEC) in a gas has now been achieved. Alkali atoms ($^{87}Rb$, $^{23}Na$ and $^{7}Li$) have been cooled to the point of condensation (temperature of 100 nK) using laser cooling and trapping, followed by magnetic trapping and ... More

Review on 'Integrability of the S-Matrix vs Integrability of the Hamiltonian' by C. Jung and T.H. SeligmanDec 16 1997We review the paper 'Integrability of the S-Matrix vs Integrability of the Hamiltonian' by C. Jung and T.H. Seligman (Phys. Rep. 285, 77-141 (1997)). This paper deals with the connection between the integrability of the scattering matrix $S$ and the integrability ... More

Quantum Transition from Order to Chaos in the Nuclear Shell ModelJul 21 1997We discuss the role of quantum chaos in atomic nuclei. After reviewing the basic assumptions of the nuclear shell model, we analyze the spectral statistics of the energy levels obtained with realistic shell-model calculations in the fp shell. In particular, ... More

On the Torus Quantization of Two Anyons with Coulomb Interaction in a Magnetic FieldApr 10 1997We study two anyons with Coulomb interaction in a uniform magnetic field $B$. By using the torus quantization we obtain the modified Landau and Zeeman formulas for the two anyons. Then we derive a simple algebraic equation for the full spectral problem ... More

Multi Solitons of a Bose-Einstein Condensate in a Three-Dimensional RingNov 03 2005A Bose-Einstein Condensate (BEC) made of alkali-metal atoms at ultra-low temperatures is well described by the three-dimensional cubic nonlinear Schr\"odinger equation, the so-called Gross-Pitaevskii equation (GPE). Here we consider an attractive BEC ... More

Particles and Anti-Particles in a Relativistic Bose CondensateJul 22 2002We study the Bose-Einstein condensation (BEC) for a relativistic ideal gas of bosons. In the framework of canonical thermal field theory, we analyze the role of particles and anti-particles in the determination of BEC transition temperature. At the BEC ... More

Embedding right-angled Artin groups into graph braid groupsJun 13 2005Apr 02 2010We construct an embedding of any right-angled Artin group $G(\Delta)$ defined by a graph $\Delta$ into a graph braid group. The number of strands required for the braid group is equal to the chromatic number of $\Delta$. This construction yields an example ... More

Time-dependent Hypercritical Accretion onto Black HolesDec 10 1996Results are presented from a time-dependent, numerical investigation of super-Eddington spherical accretion onto black holes with different initial conditions. We have studied the stability of stationary solutions, the non-linear evolution of shocked ... More

Detections of millisecond pulsars with the Fermi Large Area TelescopeOct 25 2009The Fermi observatory was launched on June 11, 2008. It hosts the \emph{Large Area Telescope} (LAT), sensitive to $\gamma$-ray photons from 20 MeV to over 300 GeV. When the LAT began its activity, nine young and energetic pulsars were known in $\gamma$ ... More

Comment on "Bell's Theorem without Inequalities and without Alignments"Sep 20 2004In this Comment we show that Cabello's proof of Bell's theorem without inequalities [Phys. Rev. Lett. 91, 230403 (2003)] does not exhibit two of the three "remarkable properties" which the proof is claimed to possess. More precisely it is our purpose ... More

Photometric stellar parameters for asteroseismology and Galactic studiesSep 08 2014Asteroseismology has the capability of delivering stellar properties which would otherwise be inaccessible, such as radii, masses and thus ages of stars. When coupling this information with classical determinations of stellar parameters, such as metallicities, ... More

Covariant Anomalies and Functional DeterminantsDec 06 1993We analize the algebraic structure of consistent and covariant anomalies in gauge and gravitational theories: using a complex extension of the Lie algebra it is possible to describe them in a unified way. Then we study their representations by means of ... More

LFV in Models with A4 Flavour SymmetryNov 21 2008The approximated tri-bimaximal mixing observed in the neutrino oscillations is a particular feature of a class of models characterized by the spontaneously broken horizontal flavour symmetry A4. In this paper, it is presented an analysis on the predictions ... More

Theoretical Models for Neutrino MassesMay 25 2012The recent measurements of the neutrino reactor angle require a re-examination of flavour models based on discrete groups. Indeed, when these models deal with the Tri-Bimaximal, the Bimaximal and the Golden Ratio mixing patterns, some tensions arise in ... More

R-symmetry breaking, runaway directions and global symmetries in O'Raifeartaigh modelsMay 14 2007We discuss O'Raifeartaigh models with general R-charge assignments, introduced by Shih to break R-symmetry spontaneously. We argue that most of these models have runaway directions related to the R-symmetry. In addition, we study the simplest model with ... More

Theoretical approaches to the physics of spectral line polarizationMar 28 2011Due to the continuous developments in polarimetric instrumentation, which will become even more dramatic in the near future with the availability of new generation solar telescopes, we are now severely confronted with a variety of new detailed observations ... More

Weakly-Interacting Massive Particles in Torsionally-Gravitating Dirac TheoryNov 16 2012Jul 05 2013We shall consider the problem of Dark Matter in torsion gravity with Dirac matter fields; we will consider the fact that if WIMPs in a bath are allowed to form condensates then torsional effects may be relevant even at galactic scales: we show that torsionally-gravitating ... More

A Torsional Model of LeptonsAug 22 2012Dec 27 2012Quite recently it was shown that torsion induces interactions among leptons that are identical to the weak interactions of leptons of the Weinberg standard model, if it is in terms of leptonic bound states that the bosonic sector is built: here we obtain ... More

Conformal Gravity with the most general ELKO MatterJan 13 2011Apr 10 2014Recently we have constructed the conformal gravity with metric and torsion, finding the gravitational field equations that give the conservation laws and trace condition; in the present paper we apply this theory to the case of ELKO matter field, proving ... More

Causality for ELKOsNov 27 2009Sep 10 2010The importance for cosmology of the recently introduced ELKOs requires our deepest understanding of them and of all of their fundamental properties. Among these fundamental properties, a special one is causality: in the present paper, we show that causality ... More

Higher-Order Theories of GravitationJun 16 2008Apr 26 2011We study higher-order theories of gravitation; in particular, we will focus our attention on the second-order theory, in which conformal symmetry can be implemented.

On a purely geometric approach to the Dirac matter field and its quantum propertiesOct 03 2012May 08 2014We consider the most general axial torsion completion of gravity with electrodynamics for $\frac{1}{2}$-spin spinors in an $8$-dimensional representation of the Dirac matter field: this theory will allow to define antimatter as matter with all quantum ... More

On moduli and effective theory of N=1 warped flux compactificationsFeb 24 2009May 28 2009The moduli space of N=1 type II warped compactions to flat space with generic internal fluxes is studied. Using the underlying integrable generalized complex structure that characterizes these vacua, the different deformations are classified by H-twisted ... More

Semiclassical strings on confining backgroundsMar 31 2005This paper discusses some results on semiclassical string configurations lying in the IR sector of supergravity backgrounds dual to confining gauge theories. On the gauge theory side, the string states we analyse correspond to Wilson loops, glueballs ... More

Galilean symmetry in generalized abelian Schrödinger-Higgs models with and without gauge field interactionMar 16 2015Oct 14 2015We consider a generalization of nonrelativistic Schr\"odinger-Higgs Lagrangian by introducing a nonstandard kinetic term. We show that this model is Galilean invariant, we construct the conserved charges associated to the symmetries and realize the algebra ... More

Singular soliton solution in the Chern-Simons-CP(1) modelApr 26 2011Sep 13 2011We show that the Chern-Simons-CP(1) model can support a singular soliton solution in which the magnetic field is a Dirac delta.

The Limiting Shape for Drifted Internal Diffusion Limited Aggregation is a True Heat BallFeb 09 2012Feb 17 2013We build the iDLA cluster using drifted random walks, and study the limiting shapes they exhibit, with the help of sandpile models. For constant drift, the normalised cluster converges to a canonical shape S, which can be termed a true heat ball, in that ... More

Lagrangian mechanics on Lie groups: a pedagogical approachNov 05 2011We describe a new method to formulate classical Lagrangian mechanics on a finite-dimensional Lie group. This new approach is much more pedagogical than many previous treatments of the subject, and it directly introduces students to generator matrices ... More

Lower complexity bounds for positive contactomorphismsFeb 19 2016Let $S^*Q$ be the spherization of a closed connected manifold of dimension at least two. Consider a contactomorphism $\varphi$ that can be reached by a contact isotopy that is everywhere positively transverse to the contact structure. In other words, ... More

Asymptotic Equation for Zeros of Hermite Polynomials from the Holstein-Primakoff RepresentationJun 01 2015Jun 05 2015The Holstein-Primakoff representation for spin systems is used to derive expressions with solutions that are conjectured to be the zeros of Hermite polynomials $H_n(x)$ as $n \rightarrow \infty$. This establishes a correspondence between the zeros of ... More

A solvable model of the evolutionary loopJun 19 1998A model for the evolution of a finite population in a rugged fitness landscape is introduced and solved. The population is trapped in an evolutionary loop, alternating periods of stasis to periods in which it performs adaptive walks. The dependence of ... More

On some extensions to GA package: hybrid optimisation, parallelisation and islands evolutionMay 06 2016Genetic algorithms are stochastic iterative algorithms in which a population of individuals evolve by emulating the process of biological evolution and natural selection. The R package GA provides a collection of general purpose functions for optimisation ... More

On the existence of Euler-Lagrange orbits satisfying the conormal boundary conditionsJul 21 2015Sep 07 2016Let $(M,g)$ be a closed Riemannian manifold, $L: TM\rightarrow \mathbb R$ be a Tonelli Lagrangian. Given two closed submanifolds $Q_0$ and $Q_1$ of $M$ and a real number $k$, we study the existence of Euler-Lagrange orbits with energy $k$ connecting $Q_0$ ... More

On Continuous Flavour Symmetries for NeutrinosMar 11 2015Flavour symmetries are fundamental tools in the search for an explanation to the flavour puzzle: fermion mass hierarchies, the neutrino mass ordering, the differences between the mixing matrices in the quark and lepton sector, can all find an explanation ... More

Observational Constraints on Monomial Warm InflationMay 20 2016Jul 31 2016Warm inflation is, as of today, one of the best motivated mechanisms for explaining an early inflationary period. In this paper, we derive and analyze the current bounds on warm inflation with a monomial potential $U\propto \phi^p$, using the constraints ... More

"Large" conformal metrics of prescribed Q-curvature in the negative caseFeb 03 2016Given a compact and connected four dimensional smooth Riemannian manifold $(M,g_0)$ with $k_P := \int_M Q_{g_0} dV_{g_0} <0$ and a smooth non-constant function $f_0$ with $\max_{p\in M}f_0(p)=0$, all of whose maximum points are non-degenerate, we assume ... More

A simple assessment on the hierarchy problemApr 16 2015Apr 04 2016We consider the simplest extension of the standard model, where torsion couples to spinor as well as the scalar fields, and in which the cosmological constant problem is solved.

On the existence of orbits satisfying periodic or conormal boundary conditions for Euler-Lagrange flowsNov 24 2015Let $(M,g)$ be a closed Riemannian manifold and $L:TM\rightarrow \mathbb R$ be a Tonelli Lagrangian. In this thesis we study the existence of orbits of the Euler-Lagrange flow associated with $L$ satisfying suitable boundary conditions. We first look ... More

Notes on diagonals of the product and symmetric variety of a surfaceOct 16 2015Nov 09 2015Let $X$ be a smooth quasi-projective algebraic surface and let $\Delta_n$ the big diagonal in the product variety $X^n$. We study cohomological properties of the ideal sheaves $\mathcal{I}^k_{\Delta_n}$ and their invariants $(\mathcal{I}^k_{\Delta_n})^{\mathfrak{S}_n}$ ... More

A chiral lagrangian with broken scale: a Fortran code with the thermal contributions of the dilaton fieldSep 04 2009The Chiral Dilaton Model is a chiral lagrangian in which the breaking of scale invariance is regulated by the expectation value of a scalar field, called dilaton. Here we provide a Fortran code \cite{epaps,ind}, as a tool to make calculations within the ... More

Lehmer problem and Drinfeld modulesFeb 01 2013Jan 21 2015We propose a lower bound estimate in Dobrowolski's style of the canonical height on a certain family of Drinfeld modules of characteristic 0, including under some hypothesis on their degree and their base field, the complex multiplication case, extending ... More

Phantom energy mediates a long-range repulsive forceSep 22 2004Oct 14 2004Scalar field models with non-standard kinetic terms have been proposed in the context of k-inflation, of Born-Infeld lagrangians, of phantom energy and, more in general, of low-energy string theory. In general, scalar fields are expected to couple to ... More

Schröder partitions, Schröder tableaux and weak poset patternsJun 21 2016We introduce the notions of Schr\"oder shape and of Schr\"oder tableau, which provide some kind of analogs of the classical notions of Young shape and Young tableau. We investigate some properties of the partial order given by containment of Schr\"oder ... More

Wonderful models for toric arrangementsDec 30 2009Feb 09 2011We build a wonderful model for toric arrangements. We develop the "toric analog" of the combinatorics of nested sets, which allows to define a family of smooth open sets covering the model. In this way we prove that the model is smooth, and we give a ... More

Torsion Gravity for Dirac ParticlesNov 25 2016We elucidate the role of torsion in gravity by showing how Dirac matter fields have distributions that are stable and localized and as such they can be seen as particles.

The KSBA compactification of the moduli space of $D_{1,6}$-polarized Enriques surfacesAug 08 2016Oct 11 2016We describe the moduli compactification by stable pairs of a $4$-dimensional family of Enriques surfaces, which arise as the $\mathbb{Z}_2^2$-covers of the blow up of $\mathbb{P}^2$ at three general points branched along a configuration of three pairs ... More

Quasilinear parabolic stochastic evolution equations via maximal $ L^{p} $-regularityNov 28 2016We study the Cauchy problem for an abstract quasilinear stochastic parabolic evolution equation on a Banach space driven by a cylindrical Brownian motion. We prove existence and uniqueness of a local strong solution up to a maximal stopping time, that ... More

Dirac-Jacobi BundlesFeb 18 2015Feb 10 2016We show that a suitable notion of Dirac-Jacobi structure on a generic line bundle $L$ is provided by Dirac structures in the omni-Lie algebroid of $L$. Dirac-Jacobi structures on line bundles generalize Wade's $\mathcal E^1 (M)$-Dirac structures and unify ... More

Search for Sterile Neutrinos at Long and Short BaselinesApr 22 2016Neutrino physics is currently suffering from lack of knowledge from at least four major ingredients. One of them is the presence or not of new sterile neutrino states at the mass scale of around 1 eV. Settling this point should be the highest priority ... More

Run-and-tumble particles, telegrapher's equation and absorption problems with partially reflecting boundariesJan 19 2016Absorption problems of run-and-tumble particles, described by the telegrapher's equation, are analyzed in one space dimension considering partially reflecting boundaries. Exact expressions for the probability distribution function in the Laplace domain ... More

Zero Energy of Plane-Waves for ELKOsAug 02 2010Feb 23 2011We consider the ELKO field in interaction through contorsion with its own spin density, and we investigate the form of the consequent autointeractions; to do so we take into account the high-density limit and find plane wave solutions: such plane waves ... More

Torsionally-gravitating charged matter fields and quantaMar 17 2015Jan 26 2016In the present article we shall consider the torsional completion of a gravitational background that is filled with electrodynamically interacting material fields, taken to be of fermionic type, eventually deriving properties like the impossibility of ... More

Polar solutions with tensorial connection of the spinor equationFeb 28 2019Mar 08 2019Dirac field equations are studied for spinor fields without any external interaction and when they are considered on a background having a tensorial connection with a specific non-vanishing structure some solution can be found in polar form displaying ... More

Invitation to higher local fields, Part I, section 18: On ramification theory of monogenic extensionsDec 18 2000Ramification theory of monogenic extensions of complete discrete valuation fields is presented. Relations to Kato's conductor are discussed.

Consistency of the local Hubble constant with the cosmic microwave backgroundJun 28 2019A significant tension has become manifest between the current expansion rate of our Universe measured from the cosmic microwave background by the Planck satellite and from local distance probes, which has prompted for interpretations of that as evidence ... More

The Landis conjecture with sharp rate of decayJul 01 2018The so called Landis conjecture states that if a solution of the equation $$\Delta u+V(x)u=0$$ in an exterior domain decays faster than $e^{-\kappa|x|}$, for some $\kappa>\sqrt{\sup |V|}$, then it must be identically equal to $0$. This property can be ... More

Non-Relativistic Four Dimensional p-Brane Supersymmetric Theories and Lie Algebra ExpansionJun 19 2019We apply the Lie algebra expansion method to the $\mathcal{N}=1$ super-Poincar\'e algerba in four dimensions. We define a set of p-brane projectors that induce a decomposition of the super-Poincar\'e algebra preparatory for the expansion. We show that ... More

Geometry, Zitterbewegung, QuantizationJul 11 2019In the most general geometric background, we study Dirac spinor fields with particular emphasis given to the explicit form of their gauge momentum and the way in which this can be inverted so to give the expression of the corresponding velocity; we study ... More

Sheaves on subanalytic sitesMay 24 2005Feb 15 2007In Asterisque 271 the authors introduced the notion of ind-sheaf, and defined the six Grothendieck operations in this framework. They defined subanalytic sheaves and they obtained the formalism of the six Grothendieck operations by including subanalytic ... More

Termination of canonical context-sensitive rewriting and productivity of rewrite systemsDec 22 2015Termination of programs, i.e., the absence of infinite computations, ensures the existence of normal forms for all initial expressions, thus providing an essential ingredient for the definition of a normalization semantics for functional programs. In ... More

Extension of L^2 holomorphic functionsMay 02 2015The purpose of this note is to show that the di-bar-estimate which is needed in the Ohsawa-Takegoshi Extension Theorem [6] is a direct consequence of the Hormander-Kohn-Morrey weigthed inequality. In this inequality, the Donnelly-Fefferman argument is ... More

Digital-analog quantum simulation of generalized Dicke models with superconducting circuitsAug 29 2016Mar 03 2017We propose a digital-analog quantum simulation of generalized Dicke models with superconducting circuits, including Fermi-Bose condensates, biased and pulsed Dicke models, for all regimes of light-matter coupling. We encode these classes of problems in ... More

Measuring the Running of the Electromagnetic Coupling Alpha in Small Angle Bhabha ScatteringAug 07 2006We propose a method to determine the running of $\alpha_{QED}$ from the measurement of small-angle Bhabha scattering. The method is suited to high statistics experiments at $e^{+} e^{-}$ colliders, which are equipped with luminometers in the appropriate ... More

Groupes linéaires finis permutant deux fois transitivement un ensemble de droitesOct 09 2009Dec 13 2009Let n >1 be an integer, and G a doubly transitive subgroup of the symmetric group on X={1,...,n}. In this paper we find all linear group representations rho of G on an euclidean vector space V which contains a set of equiangular vector lines GG={< v_1>,...,} ... More

Cauchy-Kowaleskaya-Kashiwara theorem with growth conditionsApr 03 2008We prove the Cauchy-Kowaleskaya-Kashiwara theorem for holomorphic functions with growth conditions.

The perfect cone compactification of quotients of type IV domainsApr 18 2019The perfect cone compactification is a toroidal compactification which can be defined for locally symmetric varieties. We show that the perfect cone compactification of quotients of type IV domains by the action of the stable orthogonal group has canonical ... More

On the existence and number of invariant polynomialsNov 06 2018This paper explores a natural action of the group $\mathrm{PGL}_2(\mathbb F_q)$ on the set of monic irreducible polynomials of degree at least two over a finite field $\mathbb F_q$. Our main results deal with the existence and number of fixed points and, ... More

A note on primitive $1-$normal elements over finite fieldsJan 19 2017Let $q$ be a prime power of a prime $p$, $n$ a positive integer and $\mathbb F_{q^n}$ the finite field with $q^n$ elements. The $k-$normal elements over finite fields were introduced and characterized by Huczynska et al (2013). Under the condition that ... More

Nilpotent linearized polynomials over finite fields and applicationsSep 29 2016Let $q$ be a prime power and $\mathbb F_{q^n}$ be the finite field with $q^n$ elements, where $n>1$. We introduce the class of the linearized polynomials $L(x)$ over $\mathbb F_{q^n}$ such that $$L^{(t)}(x):=\underbrace{L(L(\cdots(x)\cdots))}_{t \quad\text{times}}\equiv ... More

A group action on multivariate polynomials over finite fieldsSep 13 2017Let $\mathbb{F}_q$ be the finite field with $q$ elements, where $q$ is a power of a prime $p$. Recently, a particular action of the group $\mathrm{GL}_2(\mathbb F_q)$ on irreducible polynomials in $\mathbb F_q[x]$ has been introduced and many questions ... More

Status and Outlook of the EDELWEISS WIMP SearchMay 19 2006EDELWEISS is a direct dark matter search using cryogenic germanium heat-ionisation detectors, located in the Modane underground laboratory beneath the Alps. We summarize the final results of EDELWEISS I, which deployed up to almost one kg of detectors ... More

Some combinatorics related to central binomial coefficients: Grand-Dyck paths, coloured noncrossing partitions and signed pattern avoiding permutationsJun 05 2008We give some interpretations to certain integer sequences in terms of parameters on Grand-Dyck paths and coloured noncrossing partitions, and we find some new bijections relating Grand-Dyck paths and signed pattern avoiding permutations. Next we transfer ... More

Linear Phase Perfect Reconstruction Filters and Wavelets with Even SymmetryDec 22 2011Perfect reconstruction filter banks can be used to generate a variety of wavelet bases. Using IIR linear phase filters one can obtain symmetry properties for the wavelet and scaling functions. In this paper we describe all possible IIR linear phase filters ... More

Looking for ovoids of the Hermitian surface: a computational approachOct 09 2012In this note we present a computational approach to the construction of ovoids of the Hermitian surface and show some related experimental results.

A Reformulation of the Riemann Hypothesis in Terms of Continuity of the Limit Function of a Certain Ratio of Partial Sums of a Series for the Dirichlet Eta FunctionJul 14 2009Oct 26 2009For any $s \in \mathbb{C}$ with $\Re(s)>0$, denote by $S_n(s)$ the $n^{th}$ partial sum of the alternating Dirichlet series $1-2^{-s}+3^{-s}-... $ . We first show that $S_n(s)\neq 0$ for all $n$ greater than some index $N(s)$ . Denoting by $D={s \in \mathbb{C}: ... More

Symmetrization and anti-symmetrization in parabolic equationsApr 13 2016Apr 28 2016We derive some symmetrization and anti-symmetrization properties of parabolic equations. First, we deduce from a result by Jones a quantitative estimate of how far the level sets of solutions are from being spherical. Next, using this property, we derive ... More

Field Testing of Software ApplicationsMay 20 2017When interacting with their software systems, users may have to deal with problems like crashes, failures, and program instability. Faulty software running in the field is not only the consequence of ineffective in-house verification and validation techniques, ... More

The product of the eigenvalues of a symmetric tensorFeb 27 2018Mar 06 2018We study E-eigenvalues of a symmetric tensor $f$ of degree $d$ on a finite-dimensional Euclidean vector space $V$, and their relation with the E-characteristic polynomial of $f$. We show that the leading coefficient of the E-characteristic polynomial ... More

On the stochastic Cahn-Hilliard equation with a singular double-well potentialOct 05 2017Jan 31 2018We prove well-posedness and regularity for the stochastic pure Cahn-Hilliard equation under homogeneous Neumann boundary conditions, with both additive and multiplicative Wiener noise. In contrast with great part of the literature, the double-well potential ... More

Canonical Surfaces and Hypersurfaces in Abelian VarietiesAug 15 2018Dec 11 2018The present work deals with the canonical map of smooth, compact complex surfaces of general type in a polarization of type $(1, 2, 2)$ on an abelian threefold. A natural and classical question to ask is whether the canonical system of such surfaces is ... More

Well-posedness for a class of doubly nonlinear stochastic PDEs of divergence typeNov 21 2016We prove well-posedness for doubly nonlinear parabolic stochastic partial differential equations of the form $dX_t-\text{div}\,\gamma(\nabla X_t)\,dt+\beta(X_t)\,dt\ni B(t,X_t)\,dW_t$, where $\gamma$ and $\beta$ are the two nonlinearities, assumed to ... More

Driven transport on a flexible polymer with particle recycling: a model inspired by transcription and translationMar 21 2018Jan 26 2019Many theoretical works have attempted to coarse grain gene expression at the level of transcription and translation via frameworks based on exclusion processes. Usually in these models the three-dimensional conformation of the substrates (DNA and mRNA) ... More

Aspects Regarding Operations with Fuzzy ProcessesMay 29 2009This paper introduces the notion of fuzzy process as a formalism for the idea of fuzzy contact between a device and its environment. The notions of absolute correctness and relative correctness are defined. In order to work with concurrency it has been ... More