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Towards autonomous ocean observing systems using Miniature Underwater Gliders with UAV deployment and recovery capabilitiesFeb 08 2019This paper presents preliminary results towards the development of an autonomous ocean observing system using Miniature Underwater Gliders (MUGs) that can operate with the support of Unmanned Aerial Vehicles (UAVs) and Unmanned Surface Vessels (USVs) ... More

Topics In Normal Bases Of Finite FieldsApr 01 2013This is an introduction to the theory of normal bases of finite fields. The first few chapters cover a wide range of topics on the theory of normal bases of finite fields. Most standard definitions and results, including proofs are given. The last few ... More

Note on Integer Factoring Methods IVFeb 28 2008Sep 25 2008This note continues the theoretical development of deterministic integer factorization algorithms based on systems of polynomials equations. The main result establishes a new deterministic time complexity bench mark in integer factorization.

Note on Integer Factoring Algorithms IIFeb 08 2007This note introduces a new class of integer factoring algorithms. Two versions of this method will be described, deterministic and probabilistic. These algorithms are practical, and can factor large classes of balanced integers N = pq, p < q < 2p in superpolynomial ... More

Note Integer Factoring Methods IIIJul 30 2007The best deterministic unconditionally proven integer factorization algorithms have exponential running time complexities of O(N^(1/4)) arithmetic operations, and conditional on the Riemann hypothesis, there is a deterministic algorithm of exponential ... More

Note on the Merit Factors of SequencesJun 02 2005Jul 10 2013A method for estimating the merit factors of sequences will be provided. The result is also effective in determining the nonexistence of certain infinite collections of cyclic difference sets and cyclic matrices and associated binary sequences.

A Totient Function InequalityFeb 09 2010Feb 06 2012A new unconditional inequality of the totient function is contributed to the literature. This result is associated with various unsolved problems about the distribution of prime numbers.

A Note on the Zero-Free Regions of the Zeta FunctionAug 28 2009Oct 12 2012This short note contributes a new zero-free region of the zeta function. This zero-free region has the form {s : Re(s) > a}, where a = 21/40.

Simple Zeros Of The Zeta FunctionJun 03 2013Jul 27 2018This note studies the Laurent series of the inverse zeta function $1/\zeta(s)$ at any fixed nontrivial zero $\rho$ of the zeta function $\zeta(s)$, and its connection to the simplicity of the nontrivial zeros.

The Error Term In The Primes Counting FunctionAug 11 2009This article considers the error term of the primes counting function. It applies some recent results on the densities of prime numbers in short intervals to derive an improvement of the error term from subexponential size to fractional exponential size. ... More

Inequalities For The Primes Counting FunctionAug 03 2018The prime counting function inequality $\pi(x+y) < \pi(x)+\pi(y)$, which is known as Hardy-Littlewood conjecture, has been established for a variety of cases such as $ \delta x \leq y \leq x$, where $0< \delta \leq 1$, and $x \leq y\leq x \log x \log ... More

On Estimates of Exponential SumsJan 29 2005This paper introduces a general technique for estimating the absolute value of pure Gaussian sums of order k over a prime p for a class of composite order k. The new estimate improves the classical estimate by a factor of about 2 or better (depending ... More

Note on Integer Factoring Methods INov 07 2006This note presents the basic mathematical structure of a new integer factorization method based on systems of linear Diophantine equations.

Irrationality of the Zeta ConstantsDec 13 2012Sep 16 2016A general technique for proving the irrationality of the zeta constants $\zeta(s)$ for odd $s = 2n + 1 \geq 3$ from the known irrationality of the beta constants $L(2n+1)$ is developed in this note. The results on the irrationality of the zeta constants ... More

On the Coefficients of Primitive Normal polynomialsOct 01 2005The previous paper [4] proved the existence of primitive polynomials and primitive normal polynomials of degree n with k prescribed coefficients in the finite field GF(q) for all sufficiently large q. This paper presents a loger versions of the result ... More

A Divisor Function InequalityDec 09 2009Feb 09 2010This short note provides an unconditional proof of a well known inequality of the divisor function. This is an unsolved problem in pure mathematics and the distribution of prime numbers. Furthermore, the technique is completely elementary.

Generalized Fibonacci Primitive RootsMay 20 2015Aug 05 2016This note generalizes the Fibonacci primitive roots to the set of integers. An asymptotic formula for counting the number of integers with such primitive root is introduced here.

Simple Zeros Of The Zeta FunctionJun 03 2013Jul 15 2016This note studies the Laurent series of the inverse zeta function $1/\zeta(s)$ at any fixed nontrivial zero $\rho$ of the zeta function $\zeta(s)$, and its connection to the simplicity of the nontrivial zeros.

Character Sums Over The Prime NumbersMay 22 2012A few elementary estimates of a basic character sum over the prime numbers are derived here. These estimates are nontrivial for character sums modulo large q. In addition, an omega result for character sums over the primes is also included.

On Evaluation of Nonlinear Exponential SumsMar 05 2005This paper provides a technique for evaluating some nonlinear Gaussian sums in closed forms. The evaluation is obtained from the known values of simpler exponential sums.

Primes Solutions Of Linear Diophantine EquationsOct 29 2013Apr 03 2014Let k => 1, m => 1 be small fixed integers, gcd(k, m) = 1. This note develops some techniques for proving the existence of infinitely many primes solutions x = p, and y = q of the linear Diophantine equation y = mx + k.

Elementary Primes Counting MethodsJul 25 2012Aug 28 2012This work proposes elementary proofs of several related primes counting problems, based on an elementary weighted sieve. The subsets of primes considered here are the followings: the subset of twin primes PT = {p and p + 2 are primes}, the subset of Germain ... More

Note on Prime Gaps and Zero SpacingsMar 03 2009May 08 2017The article focuses on the problems of prime gaps and zero spacings. Possible solutions of several related problems such as the greatest lower bound, the least upper bound of the zero spacings, and the least upper bound of the prime gaps are considered. ... More

The Error Term of the Summatory Euler Phi FunctionJun 12 2012Dec 30 2015A sharper estimate of the summatory Euler phi function is presented in this work. It improves the established estimate in the current mathematical literature. The corresponding estimate for the normalized summatory Euler phi function, an omega result, ... More

Primes In Cubic Arithmetic ProgressionsFeb 04 2013Feb 19 2013This work proposes a proof of the simplest cubic primes counting problem. It shows that the subset of primes {p = n^3 + 2 is prime : n => 1} is an infinite subset of primes. Further, the expected order of magnitude of the cubic primes counting function ... More

Note on the Theory of Perfect NumbersFeb 08 2011Mar 03 2011A perfect number is a number whose divisors add up to twice the number itself. The existence of odd perfect numbers is a millennia-old unsolved problem. This note proposes a proof of the nonexistence of odd perfect numbers. More generally, the same analysis ... More

A Dedekind Psi Function InequalityDec 01 2011Dec 22 2011This note shows that the Dedekind psi function achieves its extreme values on the subset of primorial integers N_k = 2*3*5*...*p_k, where p_k is the kth prime. In particular, the inequality psi(N_k) > cloglog N_k, where c = 1.08... is a universal constant, ... More

Squarefree Integers And Extreme Values Of Some Arithmetic FunctionsDec 21 2010Mar 08 2011A study of the Dedekind psi function concludes that its extreme values are supported on the subset of primorial integers N_k = 2*3***p_k, where p_k is the kth prime. In particular, the inequality psi(N_k) > cloglogN_k, c > 0 constant, holds for all large ... More

Oscillations in Mertens Theorems and Other Finite Sums and ProductsMay 25 2010Jul 10 2013This note simplifies the proof of a recent result on the oscillation of the prime product in Martens Theorem, and provides a quantitative expression for the error term. In addition, the corresponding oscillation results for the finite sums of the reciprocal ... More

Asymptotic For Primitive Roots Producing PolynomialsSep 02 2016Oct 21 2016Let $x \geq 1$ be a large number, let $f(x) \in \mathbb{Z}[x]$ be a prime polynomial of degree $\text{deg}(f)=m$, and let $u\ne \pm 1, v^2$ be a fixed integer. Assuming the Bateman-Horn conjecture, an asymptotic counting function for the number of primes ... More

An Explicit Formula For The Divisor FunctionMay 16 2014The details for the construction of an explicit formula for the divisors function d(n) = #{d | n} are formalized in this article. This formula facilitates a unified approach to the investigation of the error terms of the divisor problem and circle problem. ... More

Topic In Elliptic Curves Over Finite Fields: The Groups of PointsMar 22 2011Apr 05 2011This article is a short introduction to the theory of the groups of points of elliptic curves over finite fields. It is concerned with the elementary theory and practice of elliptic curves cryptography, the new generation of public key systems. The material ... More

Note On Elliptic Primitive PointsMar 20 2017Oct 09 2018Let $E$ be an elliptic curve of rank $\text{rk}(E) \geq 1$, and let $P \in E(\mathbb{Q})$ be a point of infinite order. The number of elliptic primes $p \leq x$ for which $\langle P\rangle=E(\mathbb{F}_p)$ is expected to be $\pi(x,E,P)=\delta(E,P)x/\log ... More

Note On Elliptic Groups of Prime OrdersFeb 16 2017Aug 03 2018Let $E$ be an elliptic curve of rank $\text{rk}(E) \geq 1$, and let $E(\mathbb{F}_p)$ be the elliptic group of order $\#E(\mathbb{F}_p)=n$. The number of primes $p\leq x$ such that $n$ is prime is expected to be $\pi(x,E)=\delta(E)x/\log^2 x+o(x/\log^2 ... More

Note On the Irrationality of the L-Function Constants L(s, X)May 10 2011Oct 12 2012A unified proof of the irrationality of the special values L(n, X), n > 1 an integer, of the beta L-function is put forward in this note. The first case of n = 2 seems to confirm that the Catalan constant L(2, X) is an irrational number.

Quadratic PrimesJan 06 2014Apr 02 2015The subset of quadratic primes {p = an^2 + bn + c : n => 1} generated by an irreducible polynomial f(x) = ax^2 + bx + c over the integers is widely believed to be an unbounded subset of prime numbers. This note provides the details of a possible proof ... More

Divisor and Totient Functions EstimatesJun 23 2008Jul 16 2008New unconditional estimates of the divisor and totient functions are contributed to the literature. These results are consistent with the Riemann hypothesis and seem to solve the Nicolas inequality for all sufficiently large integers.

A Simple Proof Of The Prime Number TheoremOct 09 2015It is shown that the Mean Value Theorem for arithmetic functions, and simple properties of the zeta function are sufficient to assemble proofs of the Prime Number Theorem, and Dirichlet Theorem. These are among the simplest proofs of the asymptotic formulas ... More

Cyclic Difference Sets And Cyclic Hadamard MatricesSep 29 2011Dec 20 2011The collection of cyclic Hadamard matrices {H = (a_{i - j}) : 0 <= i, j < n, and a_i = -1, 1} of order n is characterized by the orthogonality relation HH^T = nI. Only two of such matrices are currently known. It will be shown that this collection consists ... More

Asymptotic For Primitive Roots Producing PolynomialsSep 02 2016Let $x \geq 1$ be a large number, let $f(x) \in \mathbb{Z}[x]$ be a prime polynomial of degree $\text{deg}(f)=m$, and let $u\ne \pm 1, v^2$ be a fixed integer. Assuming the Bateman-Horn conjecture, an asymptotic counting function for the number of primes ... More

Closed Forms Evaluations Of Some Exponential SumsMar 22 2011This note provides new closed forms evaluations of a few classes of exponential sums associated with elliptic curves and hyperelliptic curves.

Least Prime Primitive RootsSep 01 2017This note presents an upper bound for the least prime primitive roots $g^*(p)$ modulo $p$, a large prime. The current literature has several estimates of the least prime primitive root $g^*(p)$ modulo a prime $p\geq 2$ such as $g^*(p)\ll p^c, c>2.8$. ... More

Summatory Mobius Function, and Summatory Liouville FunctionJun 09 2011Jun 15 2011The orders of magnitudes of the summatory Liouville function L(x), and the summatory Mobius function M(x), are unconditionally proven to be of the forms L(x) = O(x^.5)), and M(x) = O(x^.5) respectively. Furthermore, applications of these estimates to ... More

On Primes In Short IntervalsDec 29 2008This note discusses the existence of prime numbers in short intervals. An unconditional elementary argument seems to prove the existence of primes in the short intervals [x, x + y], where y >= x^(1/2)(log x)^e, e > 0, and a sufficiently large number x ... More

Graphene: QFT in curved spacetimes close to experimentsApr 09 2013A recently proposed step-by-step procedure, to merge the low-energy physics of the $\pi$-bonds electrons of graphene, and quantum field theory on curved spacetimes, is recalled. The last step there is the proposal of an experiment to test a Hawking-Unruh ... More

Supersymmetric Noether Currents and Seiberg-Witten TheoryJun 26 2000A reliable method to construct Supersymmetric Noether currents is presented. As the most important application the central charge of the N=2 Supersymmetric Yang-Mills effective theory, known as Seiberg-Witten (SW) theory, is computed. The analisys is ... More

Autenticazione biometrica: Realtà e fantasiaJan 04 2012Feb 04 2012Biometrical authentication systems are often presented as the best and simplest way to reach higher security levels. But a deeper analysis shows that several risks are hidden and the service provider adopting those system has to carefully check its liabilities ... More

Nonclassical states from the joint statistics of simultaneous measurementsJun 25 2015Nonclassicality cannot be a single-observable property since the statistics of any quantum observable is compatible with classical physics. We develop a general procedure to reveal nonclassical behavior from the joint measurement of multiple observables. ... More

Generalized wreath products of graphs and groupsOct 26 2013Inspired by the definition of generalized wreath product of permutation groups, we define the generalized wreath product of graphs, containing the classical Cartesian and wreath product of graphs as particular cases. We prove that the generalized wreath ... More

SU(5) & A4May 06 2009The introduction of a Flavour Symmetry can represent an interesting way in which one can try to find an answer to some intriguing problems in Flavour Physics, like the hierarchy between the fermion masses or the particular values of mixing angles. In ... More

Curved Spacetimes and Curved Graphene: a status report of the Weyl-symmetry approachDec 15 2014This is a status report about the ongoing work on the realization of quantum field theory on curved graphene spacetimes that uses Weyl symmetry. The programme is actively pursued from many different perspectives. Here we point to what has been done, and ... More

Large degree asymptotics of orthogonal polynomials with respect to an oscillatory weight on a bounded intervalFeb 10 2014Jul 08 2014We consider polynomials $p_n^{\omega}(x)$ that are orthogonal with respect to the oscillatory weight $w(x)=e^{i\omega x}$ on $[-1,1]$, where $\omega>0$ is a real parameter. A first analysis of $p_n^{\omega}(x)$ for large values of $\omega$ was carried ... More

Breaking the weak Heisenberg limitJul 26 2016We provide a very simple analytical and numerical case showing that the weak form of the Heisenberg limit can be beaten while the prior information is improved without bias problems.

Coherence for vectorial waves and majorizationMar 04 2016We show that majorization provides a powerful approach to the coherence conveyed by partially polarized transversal electromagnetic waves. Here we present the formalism, provide some examples and compare with standard measures of polarization and coherence ... More

All states, except the identity, are nonclassical: entanglement of joint statisticsJun 05 2016Simple measurement protocols reveal that every states is nonclassical excluding just the identity state. We show that this is a consequence of the fact that we can always find a joint measurement whose statistics is not separable.

On postcritically finite polynomials, part 2: Hubbard treesJul 10 1993We provide an effective classification of postcritically finite polynomials as dynamical systems by means of Hubbard Trees. This can be viewed as an application of the results developed in part 1 (Stony Brook IMS 1993/5).

Remarks on analyticity and unitarity in the presence of a Strongly Interacting Light HiggsOct 21 2013Apr 25 2014Applying the three axiomatic criteria of Lorentz invariance, analyticity and unitarity to scattering amplitudes involving the Goldstone bosons and the Higgs boson, we derive a general sum rule for the Strongly Interacting Light Higgs Lagrangian. This ... More

A note on Seiberg-Witten central chargeMay 11 1999Oct 19 1999The central charge for the Seiberg-Witten low-energy effective Action is computed using Noether supercharges. A reliable method to construct supersymmetric Noether currents is presented.

Graphene and Black Holes: novel materials to reach the unreachableDec 15 2014The case for a dedicated laboratory, to test hep-th models on analogue systems, is briefly made. The focus is on graphene.

Comment on "Noncommutative gauge theories and Lorentz symmetry, Phys. Rev. D {\bf 70}, 125004 (2004) by R.Banerjee, B.Chakraborty and K.Kumar"Feb 15 2011We show that Lorentz symmetry is generally absent for noncommutative (abelian) gauge theories and obtain a compact formula for the divergence of the Noether currents that allows a throughout study of this instance of symmetry violation. We use that formula ... More

Three Questions on Lorentz ViolationDec 18 2006We review the basics of the two most widely used approaches to Lorentz violation - the Stardard Model Extension and Noncommutative Field Theory - and discuss in some detail the example of the modified spectrum of the synchrotron radiation. Motivated by ... More

Higgs decay into photons through a spin-2 loopAug 28 2012Sep 04 2012A new particle with proprieties similar to those of the Higgs boson in the Standard Model (SM) has been recently discovered. The biggest discrepancy is related to its diphoton decay, whose branching ratio seems to be around two times larger with respect ... More

Coexistence of critical orbit types in sub-hyperbolic polynomial mapsJun 17 1994We establish necessary and sufficient conditions for the realization of mapping schemata as post-critically finite polynomials, or more generally, as post-critically finite polynomial maps from a finite union of copies of the complex numbers {\bf C} to ... More

Hubbard forestsAug 13 1992The theory of Hubbard trees provides an effective classification of non-linear post-critically finite polynomial maps from \C to itself. This note will extend this classification to the case of maps from a finite union of copies of \C to itself. Maps ... More

The Origin of MassFeb 11 2009Dynamical chiral symmetry breaking and confinement are two crucial features of Quantum Chromodynamics responsible for the nature of the hadron spectrum. These phenomena, presumably coincidental, can account for 98% of the mass of our visible universe. ... More

Alternative Symmetries in Quantum Field Theory and GravityFeb 25 2011A general, incomplete and partisan overview of various areas of the theoretical investigation is presented. Most of this activity stems from the search for physics beyond quantum field theory and general relativity, a titanic struggle that, in my opinion, ... More

L'utilità di una teoria inutile-Crittografia, firma digitale e teoria dei numeriFeb 14 2011The theory of numbers was supposed to be the less useful branch of mathematics. At the same time, cryptography was thought to be a military or a diplomatic issue. In this note we show how the two concepts are today strictly related and how this link affects ... More

Debunking some myths about biometric authenticationMar 01 2012Biometric authentication systems are presented as the best way to reach high security levels in controlling access to IT systems or sensitive infrastructures. But several issues are often not taken properly into account. In order for the implementation ... More

Symbolic dynamics and semigroup theoryNov 09 2018A major motivation for the development of semigroup theory was, and still is, its applications to the study of formal languages. Therefore, it is not surprising that the correspondence $\mathcal X\mapsto B(\mathcal X)$, associating to each symbolic dynamical ... More

Large $z$ Asymptotics for Special Function Solutions of Painlevé II in the Complex PlaneApr 02 2018Oct 03 2018In this paper we obtain large $z$ asymptotic expansions in the complex plane for the tau function corresponding to special function solutions of the Painlev\'e II differential equation. Using the fact that these tau functions can be written as $n\times ... More

On the realization of fixed point portraits (an addendum to Goldberg, Milnor: Fixed point portraits)Oct 27 1991We establish that every formal critical portrait (as defined by Goldberg and Milnor), can be realized by a postcritically finite polynomial.

Signal detection without finite-energy limits to quantum resolutionMar 20 2012Jan 16 2013We show that there are extremely simple signal detection schemes where the finiteness of energy resources places no limit to the resolution. On the contrary, larger resolution can be obtained with lower energy. To this end the generator of the signal-dependent ... More

Contradictory uncertainty relationsApr 12 2011We show within a very simple framework that different measures of fluctuations lead to uncertainty relations resulting in contradictory conclusions. More specifically we focus on Tsallis and Renyi entropic uncertainty relations and we get that the minimum ... More

On postcritically finite polynomials, part 1: critical portraitsMay 15 1993We extend the work of Bielefeld, Fisher and Hubbard on Critical Portraits to the case of arbitrary postcritically finite polynomials. This determines an effective classification of postcritically finite polynomials as dynamical systems. This paper is ... More

Contradictory entropic joint uncertainty relations for complementary observables in two-level systemsJun 21 2013We show that different entropic measures of fluctuations lead to contradictory uncertainty relations for two complementary observables. We apply Tsallis and R\'{e}nyi entropies to the joint distribution emerging from a noisy simultaneous measurement of ... More

Using Weyl symmetry to make Graphene a real lab for fundamental physicsJul 30 2012In the first attempt to introduce gauge theories in physics, Hermann Weyl, around the 1920s, proposed certain scale transformations to be a fundamental symmetry of nature. Despite the intense use of Weyl symmetry that has been made over the decades, in ... More

Weyl-Gauge Symmetry of GrapheneJul 28 2010Jan 19 2011The conformal invariance of the low energy limit theory governing the electronic properties of graphene is explored. In particular, it is noted that the massless Dirac theory in point enjoys local Weyl symmetry, a very large symmetry. Exploiting this ... More

On (Schröedinger's) quest for new physics for lifeOct 07 2009Two recent investigations are reviewed: quantum effects for DNA aggregates and scars formation on virus capsids. The possibility that scars could explain certain data recently obtained by Sundquist's group in electron cryotomography of immature HIV-1 ... More

Topological Gravity, Kaluza-Klein Reduction, and the KinkJan 19 2004Mar 02 2004Kaluza-Klein reduction of the 3-dimensional gravitational Chern-Simons term leads to a 2-dimensional theory that supports a symmetry breaking solution and an associated kink interpolating between AdS and dS geometries.

All states are nonclassical: entanglement of joint statisticsJun 05 2016Nov 21 2016Joint measurements of two observables reveal that every state is nonclassical, with the only trivial exception of the state with density matrix proportional to the identity. This naturally includes states considered universally as classical-like, such ... More

Neutrino mixing from the double tetrahedral group T^{\prime}Jul 25 2007Nov 09 2007It is shown that it is possible to create successful models of flavor for both quarks and leptons using the discrete non-abelian group $T^{\prime}$ by itself. Two simple realizations are presented that can be used as the starting point for more general ... More

Electroweak scale neutrinos and HiggsesDec 16 2008We present two different models with electroweak scale right-handed neutrinos. One of the models is created under the constraint that any addition to the Standard Model must not introduce new higher scales. The model contains right-handed neutrinos with ... More

Models of Flavor with Discrete SymmetriesNov 20 2002In an attempt to understand the observed patterns of lepton and quark masses, models invoking a flavor symmetry $G_f$, under which the Standard Model generations are charged, have been proposed. One particularly successful symmetry, U(2), has been extensively ... More

A Max-Sum algorithm for training discrete neural networksMay 20 2015Aug 13 2015We present an efficient learning algorithm for the problem of training neural networks with discrete synapses, a well-known hard (NP-complete) discrete optimization problem. The algorithm is a variant of the so-called Max-Sum (MS) algorithm. In particular, ... More

Intrinsic metrological resolution as a distance measure and nonclassical lightJan 30 2008Jun 11 2008We elaborate on a Hilbert-Schmidt distance measure assessing the intrinsic metrological accuracy in the detection of signals imprinted on quantum probe states by signal-dependent transformations. For small signals this leads to a probe-transformation ... More

New experimental proposals for testing Dirac equationJan 07 2004The advent of phenomenological quantum gravity has ushered us in the search for experimental tests of the deviations from general relativity predicted by quantum gravity or by string theories, and as a by--product of this quest the possible modifications ... More

Quantization of Damped Harmonic Oscillator, Thermal Field Theories and q-GroupsSep 28 2000We study the canonical quantization of the damped harmonic oscillator by resorting to the realization of the q-deformation of the Weyl-Heisenberg algebra (q-WH) in terms of finite difference operators. We relate the damped oscillator hamiltonian to the ... More

Quantum Groups and Von Neumann TheoremSep 28 2000We discuss the $q$ deformation of Weyl-Heisenberg algebra in connection with the von Neumann theorem in Quantum Mechanics. We show that the $q$-deformation parameter labels the Weyl systems in Quantum Mechanics and the unitarily inequivalent representations ... More

Considering anomalous dimensions in AdS/QCD modelsOct 21 2010We discuss an AdS / QCD model that consider anomalous dimensions. The effect of this kind of dimensions is considered as a mass term that depend on holographical coordenate for duals modes in bulk.

A chiral symmetry breaking AdS / QCD model with scalar interactionsApr 21 2011Jul 27 2011We consider chiral symmetry breaking AdS / QCD models with cubic and quartic potentials in the scalar sector and a z dependent mass for scalars in the bulk. In these models it is possible to get good mesonic spectra using current quark masses.

Quantum field theory in curved graphene spacetimes, Lobachevsky geometry, Weyl symmetry, Hawking effect, and all thatAug 01 2013Dec 15 2014The solutions of many issues, of the ongoing efforts to make deformed graphene a tabletop quantum field theory in curved spacetimes, are presented. A detailed explanation of the special features of curved spacetimes, originating from embedding portions ... More

Naturalness reduxApr 21 2015Jul 13 2015The idea of naturalness, as originally conceived, refers only to the finite renormalization of the Higgs boson mass induced by the introduction of heavier states. In this respect, naturalness is still a powerful heuristic principle in model building beyond ... More

Asymptotic behavior of the generalized Becker-Döring equations for general initial dataJul 15 2005We prove the following asymptotic behavior for solutions to the generalized Becker-D\"oring system for general initial data: under a detailed balance assumption and in situations where density is conserved in time, there is a critical density $\rho_s$ ... More

Revisiting the gauge fields of strained grapheneAug 04 2015Dec 11 2015We show that, when graphene is only subject to strain, the spin connection gauge field that arises plays no measurable role, but when intrinsic curvature is present and strain is small, spin connection dictates most the physics. We do so by showing that ... More

Averaged Iterative Water-Filling Algorithm: Robustness and ConvergenceFeb 09 2011The convergence properties of the Iterative water-filling (IWF) based algorithms have been derived in the ideal situation where the transmitters in the network are able to obtain the exact value of the interference plus noise (IPN) experienced at the ... More

Equidivisible pseudovarieties of semigroupsMar 01 2016We give a complete characterization of pseudovarieties of semigroups whose finitely generated relatively free profinite semigroups are equidivisible. Besides the pseudovarieties of completely simple semigroups, they are precisely the pseudovarieties that ... More

Profinite topologiesApr 21 2018Profinite semigroups are a generalization of finite semigroups that come about naturally when one is interested in considering free structures with respect to classes of finite semigroups. They also appear naturally through dualization of Boolean algebras ... More

Complementarity and the pathological statistics of the quantum impossibleOct 31 2017Standard quantum physics prevents the existence of a joint statistics for complementary observables. Nevertheless, a joint distribution for complementary observables can be derived from their imperfect simultaneous measurement followed by a suitable data ... More

Family of dilatons and metrics for AdS/QCD modelsJan 22 2016Jun 20 2016We explore some possibilities for obtaining useful metrics and dilatons for AdS/QCD models. As a guideline, we consider dilatons and/or metrics that on the one hand reproduce the mesonic spectrum, and that on the other hand allow us a correct implementation ... More

Angular-momentum nonclassicality by breaking classical bounds on statisticsDec 04 2011We derive simple practical procedures revealing the quantum behavior of angular momentum variables by the violation of classical upper bounds on the statistics. Data analysis is minimum and definite conclusions are obtained without evaluation of moments, ... More