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Multidimensional random walks conditioned to stay ordered via generalized ladder height functionsMay 14 2019Random walks conditioned to stay positive are a prominent topic in fluctuation theory. One way to construct them is as a random walk conditioned to stay positive up to time $n$, and let $n$ tend to infinity. A second method is conditioning instead to ... More

Dini derivatives for Exchangeable Increments processes and applicationsMar 12 2019Let $X$ be an exchangeable increment (EI) process whose sample paths are of infinite variation. We prove that, for any fixed $t$ almost surely, \[ \limsup_{h\to 0 \pm} (X_{t+h}-X_t)/h=\infty \quad\text{and}\quad \liminf_{h\to 0\pm} (X_{t+h}-X_t)/h=-\infty. ... More

Dini derivatives for Exchangeable Increment processes and applicationsMar 12 2019Mar 14 2019Let $X$ be an exchangeable increment (EI) process whose sample paths are of infinite variation. We prove that, for any fixed $t$ almost surely, \[ \limsup_{h\to 0 \pm} (X_{t+h}-X_t)/h=\infty \quad\text{and}\quad \liminf_{h\to 0\pm} (X_{t+h}-X_t)/h=-\infty. ... More

On the N=2 Superstring BRST OperatorMay 28 1999We write the BRST operator of the N=2 superstring as $Q= e^{-R} (\oint \frac{dz}{2\pi i} ~ b \gamma_+ \gamma_-)e^R$ where $b$ and $gamma_\pm$ are super-reparameterization ghosts. This provides a trivial proof of the nilpotence of this operator.

A Very Brief Introduction to Machine Learning With Applications to Communication SystemsAug 07 2018Nov 05 2018Given the unprecedented availability of data and computing resources, there is widespread renewed interest in applying data-driven machine learning methods to problems for which the development of conventional engineering solutions is challenged by modelling ... More

Convenient filtering techniques for LIGO strain of the GW150914 eventMar 01 2019We present a new strategy for the pre-processing filtering techniques of the LIGO strain of the GW150914\cite{Abbott:2016blz,TheLIGOScientific:2016wfe} event that intends to extract as much physical information as possible, minimizing the use of prior ... More

On Model Coding for Distributed Inference and Transmission in Mobile Edge Computing SystemsApr 11 2019Consider a mobile edge computing system in which users wish to obtain the result of a linear inference operation on locally measured input data. Unlike the offloaded input data, the model weight matrix is distributed across wireless Edge Nodes (ENs). ... More

Robust Coding for Lossy Computing with Observation CostsMay 24 2011Apr 16 2012An encoder wishes to minimize the bit rate necessary to guarantee that a decoder is able to calculate a symbol-wise function of a sequence available only at the encoder and a sequence that can be measured only at the decoder. This classical problem, first ... More

A Comparison between two methods for the measurement of the Planck constant h, the watt balance and the superconductor electromechanical oscillator methodsAug 14 2009The purpose of this note is to make a brief analysis of the physical principles upon which two methods for relating the mass of an object to fundamental physical constants are based. The two methods are, namely, the watt balance method, and a still untested ... More

Exhaustion of the curve graph via rigid expansionsNov 23 2016For an orientable surface $S$ of finite topological type with genus $g \geq 3$, we construct a finite set of curves whose union of iterated rigid expansions is the curve graph of $S$. The set constructed, and the method of rigid expansion, are closely ... More

Training Dynamic Exponential Family Models with Causal and Lateral Dependencies for Generalized Neuromorphic ComputingOct 21 2018Oct 23 2018Neuromorphic hardware platforms, such as Intel's Loihi chip, support the implementation of Spiking Neural Networks (SNNs) as an energy-efficient alternative to Artificial Neural Networks (ANNs). SNNs are networks of neurons with internal analogue dynamics ... More

Cosmological singularity theorems for $f(R)$ gravity theoriesFeb 13 2016May 13 2016In the present work some generalizations of the Hawking singularity theorems in the context of $f(R)$ theories are presented. The assumptions are of these generalized theorems is that the matter fields satisfy the conditions $\bigg(T_{ij}-\frac{g_{ij}}{2} ... More

Uplink HARQ for Distributed and Cloud RAN via Separation of Control and Data PlanesAug 26 2015Sep 05 2016The implementation of uplink HARQ in a Cloud- Radio Access Network RAN (C-RAN) architecture is constrained by the two-way latency on the fronthaul links connecting the Remote Radio Heads (RRHs) with the Baseband Units (BBUs) that perform decoding. To ... More

Two-way Communication with Adaptive Data AcquisitionSep 26 2012Motivated by computer networks and machine-to-machine communication applications, a bidirectional link is studied in which two nodes, Node 1 and Node 2, communicate to fulfill generally conflicting informational requirements. Node 2 is able to acquire ... More

Two-Way Communication with Energy ExchangeApr 09 2012The conventional assumption made in the design of communication systems is that the energy used to transfer information between a sender and a recipient cannot be reused for future communication tasks. A notable exception to this norm is given by passive ... More

Robust Coding for Lossy Computing with Receiver-Side Observation CostsAug 07 2011Apr 18 2012An encoder wishes to minimize the bit rate necessary to guarantee that a decoder is able to calculate a symbolwise function of a sequence available only at the encoder and a sequence that can be measured only at the decoder. This classical problem, first ... More

Wireless Secrecy in Cellular Systems with Infrastructure--Aided CooperationMay 03 2008In cellular systems, confidentiality of uplink transmission with respect to eavesdropping terminals can be ensured by creating intentional inteference via scheduling of concurrent downlink transmissions. In this paper, this basic idea is explored from ... More

The Ideal Electromechanical Oscillator SystemOct 25 2003Oscillators and rotators are among the most important physical systems. For centuries the only known rotating systems that actually reached the limits of the ideal situation of undamped periodical motion were the planets in their orbits. Physics had to ... More

Supersymmetric Particle in a Spacetime with Torsion and the Index TheoremMar 04 1998Apr 14 1998The supersymmetric Lagrangian compatible with the presence of torsion in the background spacetime requires, in addition to the minimal coupling, an interaction between the spin and the torsion of the form ${1/2} N_{\mu\nu\lambda\rho}\psi^\mu\psi^\nu\psi^\lambda\psi^\rho$, ... More

Torsional Topological Invariants (and their relevance for real life)Aug 26 1997Sep 05 1997The existence of topological invariants analogous to Chern/Pontryagin classes for a standard $SO(D)$ or $SU(N)$ connection, but constructed out of the torsion tensor, is discussed. These invariants exhibit many of the features of the Chern/Pontryagin ... More

Application of Conformal Mapping to the determination of Magnetic Moment Distributions in typical Antidot Film NanostructuresDec 02 2008There has been an increasing technological interest on magnetic thin films containing antidot arrays of hexagonal or square symmetry. Part of this interest is related to the possibility of domain formation and pinning at the antidots boundaries. In this ... More

A superconductor electromechanical oscillator and its potential application in energy storage (with corrections)Mar 24 2004May 23 2005We discuss theoretically the properties of an electromechanical oscillating system whose operation is based upon the cyclic conservative conversion between gravitational potential, kinetic, and magnetic energies. The system consists of a superconducting ... More

Mechanical and Electrical Oscillations of a Superconductor Coil and its ApplicationsAug 07 2003In this paper we discuss the phenomenon of resonance that we predict will occur when a superconducting coil is submitted simultaneously to a magnetic field and to an external force. When both the force and the magnetic field are constant in time the coil ... More

Unambiguous angular momentum of radiative spacetimes and asymptotic structure in terms of the center of mass systemMay 02 2003We present a definition of angular momentum for radiative spacetimes which does not suffer from any ambiguity of supertranslations. We succeed in providing an appropriate notion of {\it intrinsic} angular momentum; and at the same time a definition of ... More

Topological Invariants, Instantons and Chiral Anomaly on Spaces with TorsionFeb 03 1997In a spacetime with nonvanishing torsion there can occur topologically stable configurations associated with the frame bundle which are independent of the curvature. The relevant topological invariants are integrals of local scalar densities first discussed ... More

LAGC: Lazily Aggregated Gradient Coding for Straggler-Tolerant and Communication-Efficient Distributed LearningMay 22 2019Gradient-based distributed learning in Parameter Server (PS) computing architectures is subject to random delays due to straggling worker nodes, as well as to possible communication bottlenecks between PS and workers. Solutions have been recently proposed ... More

Improved Latency-Communication Trade-Off for Map-Shuffle-Reduce Systems with StragglersAug 20 2018Aug 21 2018In a distributed computing system operating according to the map-shuffle-reduce framework, coding data prior to storage can be useful both to reduce the latency caused by straggling servers and to decrease the inter-server communication load in the shuffling ... More

Constructing balanced equations of motion for particles in general relativity: the harmonic gauge caseNov 22 2017Mar 14 2018Based in the framework of article (arXiv:1609.02110), where we have presented the general problems one encounters in the construction of balanced equations of motions for particles in relativistic theories of gravity, we present in this work the explicit ... More

A superfield realization of the integrated vertex operator in an $AdS_5\times S^5$ backgroundSep 16 2017Sep 21 2017The integrated massless vertex operator in an $AdS_5\times S^5$ background in the pure spinor formalism is constructed in terms of superfields.

Explicit expressions for optical scalars in gravitational lensing from general matter sourcesDec 11 2012We present explicit expressions for the optical scalars and the deection angle in terms of the energymomentum tensor components of matter distributions. Our work generalizes standard references in the literature where normally stringent assumptions are ... More

Source Coding When the Side Information May Be DelayedSep 06 2011Jul 17 2012For memoryless sources, delayed side information at the decoder does not improve the rate-distortion function. However, this is not the case for more general sources with memory, as demonstrated by a number of works focusing on the special case of (delayed) ... More

Rest Frame System for Asymptotically Flat SpacetimesMar 22 2002The notion of center of mass for an isolated system has been previously encoded in the definition of the so called nice sections. In this article we present a generalization of the proof of existence of solutions to the linearized equation for nice sections, ... More

Robust utility maximization for Lévy processes: Penalization and solvabilityJun 04 2012In this paper the robust utility maximization problem for a market model based on L\'evy processes is analyzed. The interplay between the form of the utility function and the penalization function required to have a well posed problem is studied, and ... More

Alternating maps on Hatcher-Thurston graphsNov 30 2016Let $S_{1}$ and $S_{2}$ be connected orientable surfaces of genus $g_{1}, g_{2} \geq 3$, $n_{1},n_{2} \geq 0$ punctures, and empty boundary. Let also $\varphi: \mathcal{HT}(S_{1}) \rightarrow \mathcal{HT}(S_{2})$ be an edge-preserving alternating map ... More

Deriving sorting algorithms via abductive logic program transformationOct 04 2018Logic program transformation by the unfold/fold method ad- vocates the writing of correct logic programs via the application of some rules to a naive program. This work focuses on how to overcome subgoal- introduction difficulties in synthesizing efficient ... More

New derivation for the equations of motion for particles in electromagnetismDec 22 2011Mar 07 2012We present equations of motion for charged particles using balanced equations, and without introducing explicitly divergent quantities. This derivation contains as particular cases some well known equations of motion, as the Lorentz-Dirac equations. An ... More

One-loop Conformal Invariance of the Type II Pure Spinor Superstring in a Curved BackgroundSep 22 2006Oct 04 2006We compute the one-loop beta function for the Type II superstring using the pure spinor formalism in a generic supergravity background. It is known that the classical pure spinor BRST symmetry puts the background fields on-shell. In this paper we show ... More

Estimates of the total gravitation radiation in the head-on black hole collisionMar 21 2002We report on calculations of the total gravitational energy radiated in the head-on black hole collision, where we use the geometry of the Robinson-Trautman metrics.

Dealing with delicate issues in waveforms calculationsJun 09 2007We revisit the calculation of gravitational radiation through the use of Weyl scalars. We point out several possible problems arising from gauge and tetrad ambiguities and ways to address them. Our analysis indicates how, relatively simple corrections ... More

Ambitwistor superstring in the Green-Schwarz formulationDec 06 2016Dec 14 2016In this paper we construct the ambitwistor superstring in the Green-Schwarz formulation. The model is obtained from the related pure spinor version. We show that the spectrum contains only ten dimensional supergravity and that kappa symmetry in a curved ... More

Constructing balanced equations of motion for particles in general relativistic theories: the general caseSep 07 2016Mar 14 2018We present a general approach for the formulation of equations of motion for compact objects in general relativistic theories. The particle is assumed to be moving in a geometric background which in turn is asymptotically flat. Our approach defines a ... More

Lebesgue-Type inequalities for quasi-greedy basesNov 02 2011Nov 16 2011We show that for quasi-greedy bases in real Banach spaces the error of the thresholding greedy algorithm of order N is bounded by the best N-term error of approximation times a constant which depends on the democracy functions and the quasi-greedy constant ... More

Characterization of the minimal penalty of a convex risk measure with applications to Levy processesMay 16 2012Jan 30 2014The minimality of the penalization function associated with a convex risk measure is analyzed in this paper. First, in a general static framework, we provide necessary and sufficient conditions for a penalty function defined in a convex and closed subset ... More

How Much Can D2D Communication Reduce Content Delivery Latency in Fog Networks with Edge Caching?Apr 02 2019A Fog-Radio Access Network (F-RAN) is studied in which cache-enabled Edge Nodes (ENs) with dedicated fronthaul connections to the cloud aim at delivering contents to mobile users. Using an information-theoretic approach, this work tackles the problem ... More

Fundamental Latency Limits for D2D-Aided Content Delivery in Fog Wireless NetworksJan 02 2018Apr 04 2018Device-to-Device (D2D) communication can support the operation of cellular systems by reducing the traffic in the network infrastructure. In this paper, the benefits of D2D communication are investigated in the context of a Fog-Radio Access Network (F-RAN) ... More

Multi-Tenant C-RAN With Spectrum Pooling: Downlink Optimization Under Privacy ConstraintsOct 17 2017Spectrum pooling allows multiple operators, or tenants, to share the same frequency bands. This work studies the optimization of spectrum pooling for the downlink of a multi-tenant Cloud Radio Access Network (C-RAN) system in the presence of inter-tenant ... More

Fog-Aided Wireless Networks for Content Delivery: Fundamental Latency Trade-OffsMay 05 2016Apr 03 2018A fog-aided wireless network architecture is studied in which edge-nodes (ENs), such as base stations, are connected to a cloud processor via dedicated fronthaul links, while also being endowed with caches. Cloud processing enables the centralized implementation ... More

Lossy Compression with Privacy Constraints: Optimality of Polar CodesApr 21 2015A lossy source coding problem with privacy constraint is studied in which two correlated discrete sources $X$ and $Y$ are compressed into a reconstruction $\hat{X}$ with some prescribed distortion $D$. In addition, a privacy constraint is specified as ... More

Cache Aided Wireless Networks: Tradeoffs between Storage and LatencyDec 24 2015We investigate the fundamental information theoretic limits of cache-aided wireless networks, in which edge nodes (or transmitters) are endowed with caches that can store popular content, such as multimedia files. This architecture aims to localize popular ... More

Massless geodesics in $AdS_5\times Y(p,q)$ as a superintegrable systemMay 15 2012Oct 10 2012A Carter like constant for the geodesic motion in the $Y(p,q)$ Einstein-Sasaki geometries is presented. This constant is functionally independent with respect to the five known constants for the geometry. Since the geometry is five dimensional and the ... More

Power spectra in extended tachyon cosmologiesFeb 03 2015Sep 08 2015In the present work the power spectrum of a particular class of tachyon fields is compared with the one corresponding to a cosmological constant model. This is done for different barotropic indexes $\gamma_0$ and the background space time is assumed to ... More

Closed-Form Trajectories of the UnicycleJun 08 2009This paper presents a methodology to stabilize some kind of Nonlinear Control system known as Driftless, utilizing the concept of \textit{Pseudo-Kinetic Energy} introduced in this work. Once this controller is applied to the Unicycle-type robot, stability ... More

Prescribing the Preschwarzian in several complex variablesJun 17 2010We solve the several complex variables preSchwarzian operator equation $[Df(z)]^{-1}D^2f(z)=A(z)$, $z\in \C^n$, where $A(z)$ is a bilinear operator and $f$ is a $\C^n$ valued locally biholomorphic function on a domain in $\C^n$. Then one can define a ... More

Zero-sum stochastic differential games without the Isaacs condition: random rules of priority and intermediate HamiltoniansSep 29 2016For a zero-sum stochastic game which does not satisfy the Isaacs condition, we provide a value function representation for an Isaacs-type equation whose Hamiltonian lies in between the lower and upper Hamiltonians, as a convex combination of the two. ... More

Epireflections in topological algebraic structuresApr 04 2017Nov 20 2018Let $\sR$ be an epireflective category of $\topo$ and let $F_\sR$\, be the epireflective functor associated with $\sR$. If $\sA$ denotes a (semi)topological algebraic subcategory of $\topo$, we study when $F_\sR\,(A)$ is an epireflective subcategory of ... More

Cloud and Cache-Aided Wireless Networks: Fundamental Latency Trade-OffsMay 05 2016Jun 08 2016A cloud and cache-aided wireless network architecture is studied in which edge-nodes (ENs), such as base stations, are connected to a cloud processor via dedicated fronthaul links, while also being endowed with caches. Cloud processing enables the centralized ... More

Mobile Edge Computing via a UAV-Mounted Cloudlet: Optimal Bit Allocation and Path PlanningSep 17 2016Unmanned Aerial Vehicles (UAVs) have been recently considered as means to provide enhanced coverage or relaying services to mobile users (MUs) in wireless systems with limited or no infrastructure. In this paper, a UAV-based mobile cloud computing system ... More

Gravitational lens optical scalars in terms of energy-momentum distributions in the cosmological frameworkOct 19 2016Dec 04 2017We present new results on gravitational lensing over a cosmological Robertson-Walker backgrounds which extend and generalize previous works. Our expressions show the presence of new terms and factors which have been neglected in the literature on the ... More

Learning First-to-Spike Policies for Neuromorphic Control Using Policy GradientsOct 23 2018Feb 28 2019Artificial Neural Networks (ANNs) are currently being used as function approximators in many state-of-the-art Reinforcement Learning (RL) algorithms. Spiking Neural Networks (SNNs) have been shown to drastically reduce the energy consumption of ANNs by ... More

Adversarial Training for Probabilistic Spiking Neural NetworksFeb 22 2018Feb 26 2018Classifiers trained using conventional empirical risk minimization or maximum likelihood methods are known to suffer dramatic performance degradations when tested over examples adversarially selected based on knowledge of the classifier's decision rule. ... More

Message and State Cooperation in a Relay Channel When Only the Relay Knows the StateFeb 03 2011Jul 13 2014A state-dependent relay channel is studied in which strictly causal channel state information is available at the relay and no state information is available at the source and destination. The source and the relay are connected via two unidirectional ... More

Multiple Access Channels with States Causally Known at TransmittersNov 30 2010Dec 09 2012It has been recently shown by Lapidoth and Steinberg that strictly causal state information can be beneficial in multiple access channels (MACs). Specifically, it was proved that the capacity region of a two-user MAC with independent states, each known ... More

Isomorphisms between curve graphs of infinite-type surfaces are geometricJun 12 2017Let $\phi:\mathcal{C}(S)\to\mathcal{C}(S')$ be a simplicial isomorphism between the curve graphs of two infinite-type surfaces. In this paper we show that in this situation $S$ and $S'$ are homeomorphic and $\phi$ is induced by a homeomorphism $h:S\to ... More

Noise versus chaos in a causal Fisher-Shannon planeOct 14 2015We revisit the Fisher-Shannon representation plane ${\mathcal H} \times {\mathcal F}$, evaluated using the Bandt and Pompe recipe to assign a probability distribution to a time series. Several stochastic dynamical (noises with $f^{-k}$, $k \geq 0$, power ... More

A New Method for Signal and Image Analysis: The Square Wave MethodJan 04 2015A brief review is provided of the use of the Square Wave Method (SWM) in the field of signal and image analysis and it is specified how results thus obtained are expressed using the Square Wave Transform (SWT), in the frequency domain. To illustrate the ... More

Information-Centric Grant-Free Access for IoT Fog Networks: Edge vs Cloud Detection and LearningJul 11 2019Jul 12 2019A multi-cell Fog-Radio Access Network (F-RAN) architecture is considered in which Internet of Things (IoT) devices periodically make noisy observations of a Quantity of Interest (QoI) and transmit using grant-free access in the uplink. The devices in ... More

Mobile Cloud Computing with a UAV-Mounted Cloudlet: Optimal Bit Allocation for Communication and ComputationMay 23 2016Sep 18 2016Mobile cloud computing relieves the tension between compute-intensive mobile applications and battery-constrained mobile devices by enabling the offloading of computing tasks from mobiles to a remote processors. This paper considers a mobile cloud computing ... More

Time-Asynchronous Robust Cooperative Transmission for the Downlink of C-RANAug 16 2016This work studies the robust design of downlink precoding for cloud radio access network (C-RAN) in the presence of asynchronism among remote radio heads (RRHs). Specifically, a C-RAN downlink system is considered in which non-ideal fronthaul links connecting ... More

Cloud Radio-Multistatic Radar: Joint Optimization of Code Vector and Backhaul QuantizationOct 17 2014Nov 03 2014A multistatic radar set-up is considered in which distributed receive antennas are connected to a Fusion Center (FC) via limited-capacity backhaul links. Similar to cloud radio access networks in communications, the receive antennas quantize the received ... More

Dynamic Compression-Transmission for Energy-Harvesting Multihop Networks with Correlated SourcesMar 14 2012Energy-harvesting wireless sensor networking is an emerging technology with applications to various fields such as environmental and structural health monitoring. A distinguishing feature of wireless sensors is the need to perform both source coding tasks, ... More

Energy-Efficient Sensing and Communication of Parallel Gaussian SourcesFeb 18 2012May 22 2012Energy efficiency is a key requirement in the design of wireless sensor networks. While most theoretical studies only account for the energy requirements of communication, the sensing process, which includes measurements and compression, can also consume ... More

Boundedness of the fractional maximal operator on variable exponent Lebesgue spaces: a short proofAug 10 2009We give a simple proof of the boundedness of the fractional maximal operator providing in this way an alternative approach to the one given by C. Capone, D. Cruz Uribe and A. Fiorenza in \cite{CCUF}.

Estimating total momentum at finite distancesJun 26 2008Sep 25 2008We study the difficulties associated with the evaluation of the total Bondi momentum at finite distances around the central source of a general (asymptotically flat) spacetime. Since the total momentum is only rigorously defined at future null infinity, ... More

A construction of integrated vertex operator in the pure spinor sigma-model in AdS5xS5Jun 01 2013Sep 03 2013Vertex operators in string theory come in two varieties: integrated and unintegrated. Understanding both types is important for the calculation of the string theory amplitudes. The relation between them is a descent procedure typically involving the b-ghost. ... More

On the Optimal Scheduling of Independent, Symmetric and Time-Sensitive TasksDec 06 2011Jul 05 2012Consider a discrete-time system in which a centralized controller (CC) is tasked with assigning at each time interval (or slot) K resources (or servers) to K out of M>=K nodes. When assigned a server, a node can execute a task. The tasks are independently ... More

The Marginal Stability of Proteins: How Jiggling and Wiggling of Atoms are Connected to Neutral EvolutionJul 17 2019Experimental evidence indicates that proteins are marginally stable. Unlike all previous proposals here we suggest, on a statistical thermodynamics basis, that the upper bound of the marginal stability of proteins also belongs to biomacromolecular complexes ... More

$\mathfrak{c}$-many types of a $Ψ$-spaceMay 31 2018We show that for any cardinal $\omega<\kappa \leq \mathfrak{c}$ with $cf(\kappa) > \omega$, there are $\mathfrak{c}$ many AD families whose $\Psi$-spaces are pairwise non-homeomorphic and they can be Luzin families or branch families of $2^\omega$.

On the probabilistic approach to the solution of generalized fractional differential equations of Caputo and Riemann-Liouville typeSep 14 2015Dec 03 2015This paper provides a probabilistic approach to solve linear equations involving Caputo and Riemann-Liouville type derivatives. Using the probabilistic interpretation of these operators as the generators of interrupted Feller processes, we obtain well-posedness ... More

Automorphism groups of simplicial complexes of infinite type surfacesFeb 13 2014Let S be any orientable surface of infinite genus with a finite number of boundary components. In this work we consider the curve complex C(S), the nonseparating curve complex N(S) and the Schmutz graph G(S) of S. When all the topological ends of S carry ... More

Finite-size scaling for the left-current correlator with non-degenerate quark massesJul 26 2007We study the volume dependence of the left-current correlator with non-degenerate quark masses to next-to-leading order in the chiral expansion. We consider three possible regimes: all quark masses are in the $\epsilon$-regime, all are in the $p$-regime ... More

FlavorspinFeb 13 2015Jul 02 2015We propose that the flavor structure of the quark sector of the Standard Model is determined by a vectorial SU(2) flavor symmetry, which we dub Flavorspin, under which quarks transform as triplets. The fundamental Yukawa couplings are real and CP violation ... More

Driving the resonant quantum kicked rotor via extended initial conditionsMay 24 2011We study the resonances of the quantum kicked rotor subjected to an extended initial distribution. For the primary resonances we obtain the dispersion relation for the map of this system. We find an analytical dependence of the statistical moments on ... More

Quantum walks: decoherence and coin-flipping gamesAug 23 2010We investigate the global chirality distribution of the quantum walk on the line when decoherence is introduced either through simultaneous measurements of the chirality and particle position, or as a result of broken links. The first mechanism drives ... More

Exploring the onset of collective motion in self-organised trails of social organismsMay 11 2017Feb 24 2018We investigate the emergence of self-organised trails between two specific target areas in collective motion of social organisms by means of an agent-based model. We present numerical evidences that an increase in the efficiency of navigation in dependence ... More

Finite size scaling analysis of a nonequilibrium phase transition in the naming game modelSep 09 2016Nov 14 2016We realize an extensive numerical study of the Naming Game model with a noise term which accounts for perturbations. This model displays a non-equilibrium phase transition between an absorbing ordered consensus state, which occurs for small noise, and ... More

Composite Vectors and Scalars in Theories of Electroweak Symmetry BreakingJul 30 2011In the context of a strongly coupled Electroweak Symmetry Breaking, composite triplet of heavy vectors belonging to the $SU(2)_{L+R}$ adjoint representation and a composite scalar singlet under $SU(2)_{L+R}$ may arise from a new strong interaction invariant ... More

Airy-heat functions, Hermite and higher order Hermite generating functionsSep 05 2010In this note we discuss the relationship between the generating functions of some Hermite polynomials $H$, $ \sum\limits_{j=0}^\infty H_{j\cdot n}(u) z^n/n!$, generalized Airy-Heat equations $(1/2\pi)\int_{-\infty}^{+\infty}\exp\{a(i\lambda)^n-(1/2)\lambda^2t+i\lambda ... More

Neutrino-induced one-pion production revisited: the $ν_μn\toμ^- nπ^+$ channelDec 07 2016Mar 16 2017Understanding single pion production reactions on free nucleons is the first step towards a correct description of these processes in nuclei, which are important for signal and background contributions in current and near future accelerator neutrino oscillation ... More

A Whitney map onto the Long ArcDec 05 2013Feb 12 2014In a recent paper, Garc\'{\i}a-Velazquez has extended the notion of Whitney map to include maps with non-metrizable codomain and left open the question of whether there is a continuum that admits such a Whitney map. In this paper, we consider two examples ... More

Three-Point Vortex Dynamics as a Lie-Poisson SystemSep 19 2016Jan 25 2019This paper studies the reduced dynamics of the three-vortex problem from the point of view of Lie-Poisson reduction on the dual of the Lie algebra of $ U(2) $. The algebraic study leading to this point of view has been given by Borisov and Lebedev 1998 ... More

A Multidimensional Gauss MapFeb 05 2017The classical Gauss Map is a piecewise continuous map from the unit interval to itself. From this map we retrieve the continued fraction expansion of irrational numbers and its dynamical properties give information about some arithmetic and algebraic ... More

The Dirac Equation from a Bohmian Point of ViewMar 08 2010In this paper we intend to extend some ideas of a recently proposed Lorentz-invariant Bohmian model, obeying Klein-Gordon equations, but considering particles with a spin different than zero. First we build a Bohmian model for a single particle, closely ... More

Neutrino-induced one-pion production revisited: the $ν_μn\toμ^- nπ^+$ channelDec 07 2016We reanalyze our previous studies of neutrino-induced one-pion production on nucleons for outgoing $\pi N$ invariant masses below 1.4 GeV. Our motivation is to get a better description of the $\nu_\mu n\to\mu^- n\pi^+$ cross section, for which current ... More

Study of the influence of surface anisotropy and lattice structure on the behaviour of a small magnetic clusterApr 01 2003May 12 2005We have studied by Monte Carlo simulations the thermal behaviour of a small (N=13 particles) cluster described by a Heisenberg model, including nearest-neighbour ferromagnetic interactions and radial surface anisotropy, in an applied magnetic field. We ... More

Similarity networks for classification: a case study in the Horse Colic problemMar 18 2014This paper develops a two-layer neural network in which the neuron model computes a user-defined similarity function between inputs and weights. The neuron transfer function is formed by composition of an adapted logistic function with the mean of the ... More

Nondegeneracy and the Jacobi fields of rotationally symmetric solutions to the Cahn-Hillard equationMay 11 2017May 27 2017In this paper we study rotationally symmetric solutions of the Cahn-Hilliard equation in $\mathbb R^3$ constructed by the authors. These solutions form a one parameter family analog to the family of Delaunay surfaces and in fact the zero level sets of ... More

Countable dense homogeneity of function spacesApr 09 2019In this paper we consider the question of when the space $C_p(X)$ of continuous real-valued functions on $X$ with the pointwise convergence topology is countable dense homogeneous. In particular, we focus on the case when $X$ is countable with a unique ... More

A quadrupolar generalization of the Erez-Rosen coordinatesMay 24 2019The MSA system of coordinates [1] for the M Q-solution [2] is proved to be the unique solution of certain partial differential equation with boundary and asymptotic conditions. Such a differential equation is derived from the orthogonality condition between ... More

F-purity of hypersurfacesDec 12 2011Feb 10 2012In this note, we study F-purity of pairs, and show (as is the case with log canonicity) that F-purity is preserved at the F-pure threshold. We also characterize when F-purity is equivalent to sharp F-purity, an alternate notion of purity for pairs introduced ... More

Critical region for an Ising model coupled to causal dynamical triangulationsFeb 13 2014Jun 12 2015This paper extends results obtained by [15] for the annealed Ising model coupled to two-dimensional causal dynamical triangulations. We employ the Fortuin-Kasteleyn (FK) representation in order to determine a region in the quadrant of parameters $\beta,\mu>0$ ... More