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Frames of translates for number-theoretic groupsApr 20 2018Frames of translates of f in L^2(G) are characterized in terms of the zero-set of the so-called spectral symbol of f in the setting of a locally compact abelian group G having a compact open subgroup H. We refer to such a G as a number theoretic group. ... More

A wavelet theory for local fields and related groupsDec 01 2003Sep 15 2005Let G be a locally compact abelian group with compact open subgroup H. The best known example of such a group is G=Q_p, the field of p-adic rational numbers (as a group under addition), which has compact open subgroup H=Z_p, the ring of p-adic integers. ... More

Besov spaces for Schrodinger operators with barrier potentialsNov 16 2004Let H be a Schrodinger operator with barrier potential on the real line. We define the Besov spaces for H by developing the associated Littlewood-Paley theory. This theory depends on the decay estimates of the spectral operator in the high and low energies. ... More

Linear Independence of Finite Gabor Systems Determined by Behavior at InfinityNov 02 2012We prove that the HRT (Heil, Ramanathan, and Topiwala) conjecture holds for finite Gabor systems generated by square-integrable functions with certain behavior at infinity. These functions include functions ultimately decaying faster than any exponential ... More

Super-resolution by means of Beurling minimal extrapolationJan 21 2016Aug 14 2016Let $M(\mathbb{T}^d)$ be the space of complex bounded Radon measures defined on the $d$-dimensional torus group $(\mathbb{R}/\mathbb{Z})^d=\mathbb{T}^d$, equipped with the total variation norm $\|\cdot\|$; and let $\hat\mu$ denote the Fourier transform ... More

Optimal ambiguity functions and Weil's exponential sum boundJul 10 2011Complex-valued periodic sequences, u, constructed by Goran Bjorck, are analyzed with regard to the behavior of their discrete periodic narrow-band ambiguity functions A_p(u). The Bjorck sequences, which are defined on Z/pZ for p>2 prime, are unimodular ... More

Generalized Fourier frames in terms of balayageOct 09 2013Based on Beurling's theory of balayage, we develop the theory of non-uniform sampling in the context of the theory of frames for the settings of the Short Time Fourier Transform and pseudo-differential operators. There is sufficient complexity to warrant ... More

Reactive Sensing and Multiplicative Frame Super-resolutionMar 13 2019The problem is to evaluate the behavior of an object when primary sources of information about the object become unavailable, so that any information must be obtained from the intelligent use of available secondary sources. This evaluative process is ... More

Balayage and Short time Fourier transform framesSep 02 2013Using his formulation of the potential theoretic notion of balayage and his deep results about this idea, Beurling gave sufficient conditions for Fourier frames in terms of balayage. The analysis makes use of spectral synthesis, due to Wiener and Beurling, ... More

Frame multiplication theory and a vector-valued DFT and ambiguity functionJun 17 2017Vector-valued discrete Fourier transforms (DFTs) and ambiguity functions are defined. The motivation for the definitions is to provide realistic modeling of multi-sensor environments in which a useful time-frequency analysis is essential. The definition ... More

The Balian--Low theorem for the symplectic form on ${\mathbb R}^{2d}$Dec 13 2002In this paper we extend the Balian--Low theorem, which is a version of the uncertainty principle for Gabor (Weyl--Heisenberg) systems, to functions of several variables. In particular, we first prove the Balian--Low theorem for arbitrary quadratic forms. ... More

Dynamics from elastic neutron-scattering via direct measurement of the running time-integral of the van Hove distribution functionMar 30 2019We present a new neutron-scattering approach to access the van Hove distribution function directly in the time domain, I(t), which reflects the system dynamics. Currently, I(t) is always determined from neutron energy-exchange. Our method consists of ... More

Dual-readout, Particle Identification, and 4thApr 30 2009The 4th detector is rich in particle identification measurements from the dual-readout calorimeters, the cluster-timing tracking chamber, the muon spectrometer, and combinations of these systems. In all, a total of 13 measurements contribute to the identification ... More

Particle Identification in 4thDec 18 2008Jan 14 2009We describe 12 measurements in the 4th detector that yield particle identification information. Seven of these have been demonstrated with test beam data from the DREAM collaboration, one demonstrated in cosmic muon test data, one verified in ILCroot, ... More

A Neutron Spin-Echo Concept for Elastic Scattering Spectroscopy (ESS) for Dynamics of Complex (Bio-) SystemsFeb 20 2017Recently, a new neutron spectroscopy for the dynamics in complex (bio-) systems has been proposed [A. Benedetto, and G. J. Kearley, Sci. Rep. 6, 34266, (2016)]. This spectroscopy is ideal where only the overall relaxation time in a parameterless way is ... More

A gap principle for dynamicsOct 07 2008Let $f_1,...,f_g\in {\mathbb C}(z)$ be rational functions, let $\Phi=(f_1,...,f_g)$ denote their coordinatewise action on $({\mathbb P}^1)^g$, let $V\subset ({\mathbb P}^1)^g$ be a proper subvariety, and let $P=(x_1,...,x_g)\in ({\mathbb P}^1)^g({\mathbb ... More

The Dynamical Mordell-Lang ConjectureDec 14 2007Feb 06 2009We prove a special case of a dynamical analogue of the classical Mordell-Lang conjecture. In particular, let $\phi$ be a rational function with no superattracting periodic points other than exceptional points. If the coefficients of $\phi$ are algebraic, ... More

Natural transformations associated with a locally compact group and universality of the global Terrell lawAug 19 2013Sep 03 2015Via the construction of a functor from $\mathsf{C}_{u}(H)$ to an auxiliary category we associate, with any triplet $(G,F,\rho)$, two natural transformations, $\mathfrak{m}_{\star}$ morphism of $\mathsf{Fct}(\mathsf{C}_{u}(H)^{op},\mathsf{Fct}(H,\mathsf{set}))$ ... More

The 2-category of species of dynamical patternsDec 07 2015Apr 27 2016A new category $\mathfrak{dp}$, called of dynamical patterns addressing a primitive, nongeometrical concept of dynamics, is defined and employed to construct a $2-$category $2-\mathfrak{dp}$, where the irreducible plurality of species of context-depending ... More

Time-Optimal Control Problem for the Swing and the SkiNov 03 1994This paper is concerned with a class of time-optimal control problems for the swing and the ski. We first consider the motion of a man standing on a swing. For simplicity, we neglect friction and air resistance and assume that the mass of the swinger ... More

The 2-category of species of dynamical patternsDec 07 2015Dec 16 2018A new category $\mathfrak{dp}$, called of dynamical patterns addressing a primitive, nongeometrical concept of dynamics, is defined and employed to construct a $2-$category $2-\mathfrak{dp}$, where the irreducible plurality of species of context-depending ... More

Use of bundles of locally convex spaces in problems of convergence of semigroups of operators defined on different Banach spaces. Applications to spectral stability problemsJun 16 2009Jun 01 2016In this work we construct certain general bundles $<\mathfrak{M},\rho,X>$ and $<\mathfrak{B},\eta,X>$ of Hausdorff locally convex spaces associated with a given Banach bundle $<\mathfrak{E},\pi,X>$. Then we present conditions ensuring the existence of ... More

Natural transformations associated with a locally compact group and universality of the global Terrell lawAug 19 2013Dec 16 2018Via the construction of a functor from $\mathsf{C}_{u}(H)$ to an auxiliary category we associate, with any triplet $(G,F,\rho)$, two natural transformations, $\mathfrak{m}_{\star}$ morphism of $\mathsf{Fct}(\mathsf{C}_{u}(H)^{op},\mathsf{Fct}(H,\mathsf{set}))$ ... More

Frechet differential of a power series in a Banach algebraApr 17 2008Feb 02 2012We present two new forms in which the Frechet differential of a power series in a Banach algebra can be expressed in terms of absolutely convergent series involving the commutant $C(T):A\mapsto [A,T]$.Then we apply the results to the analytic functional ... More

Construction of a Natural Transformation from a Classical to a Quantum 0-SpeciesDec 16 2018A natural transformation $\mathfrak{J}$ between functors valued in the category $\mathfrak{Chdv}_{0}$ is assembled. $\mathfrak{Chdv}_{0}$ is obtained by replacing both the categories $\mathrm{ptls}$ and $\mathrm{ptsa}$ with the category of topological ... More

Integral equalities for functions of unbounded spectral operators in Banach spacesApr 18 2008Feb 02 2012We investigate a limiting procedure for extending local integral operator equalities to the global ones and to applying it to obtaining generalizations of the Newton-Leibnitz formula for operator-valued maps for a wide class of unbounded operators.

Periods of rational maps modulo primesJul 14 2011Let $K$ be a number field, let $\phi \in K(t)$ be a rational map of degree at least 2, and let $\alpha, \beta \in K$. We show that if $\alpha$ is not in the forward orbit of $\beta$, then there is a positive proportion of primes ${\mathfrak p}$ of $K$ ... More

Equivalence Notions for Discrete-Time Stochastic Linear Control SystemsNov 25 2016In this paper we propose definitions of equivalence via stochastic bisimulation and of equivalence of stochastic external behavior for the class of discrete-time stochastic linear control systems with possibly degenerate normally distributed disturbances. ... More

Current Trends and Open Problems in Arithmetic DynamicsJun 13 2018Jul 02 2018Arithmetic dynamics is the study of number theoretic properties of dynamical systems. A relatively new field, it draws inspiration partly from dynamical analogues of theorems and conjectures in classical arithmetic geometry, and partly from $p$-adic analogues ... More

Optimal control of a bioreactor for biofuel productionMar 26 2013Jul 06 2015Dynamic flux balance analysis of a bioreactor is based on the coupling between a dynamic problem, which models the evolution of biomass, feeding substrates and metabolites, and a linear program, which encodes the metabolic activity inside cells. We cast ... More

Transport equation with nonlocal velocity in Wasserstein spaces: convergence of numerical schemesJun 13 2011Jun 05 2012Motivated by pedestrian modelling, we study evolution of measures in the Wasserstein space. In particular, we consider the Cauchy problem for a transport equation, where the velocity field depends on the measure itself. We deal with numerical schemes ... More

Competition of Direct and Indirect Sources of Thermal Entanglement in a spin star networkDec 05 2017A spin star system consisting of three peripheral two-state systems and a central one is considered, with the peripheral spins assumed to interact with each other, as well as with the central one. It is shown that such two couplings, each one being a ... More

Heights and preperiodic points of polynomials over function fieldsOct 20 2005Dec 13 2005Let K be a function field in one variable over an arbitrary field F. Given a rational function f(z) in K(z) of degree at least two, the associated canonical height on the projective line was defined by Call and Silverman. The preperiodic points of f all ... More

Convergent expansions for Random Cluster Model with q>0 on infinite graphsJan 03 2005Feb 08 2008In this paper we extend our previous results on the connectivity functions and pressure of the Random Cluster Model in the highly subcritical phase and in the highly supercritical phase, originally proved only on the cubic lattice $\Z^d$, to a much wider ... More

Pedestrian flows in bounded domains with obstaclesDec 23 2008In this paper we systematically apply the mathematical structures by time-evolving measures developed in a previous work to the macroscopic modeling of pedestrian flows. We propose a discrete-time Eulerian model, in which the space occupancy by pedestrians ... More

Gaussian Mean Fields Lattice GasNov 09 2017Jan 31 2018We study rigorously a lattice gas version of the Sherrington-Kirckpatrick spin glass model. In discrete optimization literature this problem is known as Unconstrained Binary Quadratic Programming (UBQP) and it belongs to the class NP-hard. We prove that ... More

Examples of wavelets for local fieldsDec 01 2003Using the wavelet theory introduced by the author and J. Benedetto, we present examples of wavelets on p-adic fields and other locally compact abelian groups with compact open subgroups. We observe that in this setting, the Haar and Shannon wavelets (which ... More

Attaining potentially good reduction in arithmetic dynamicsDec 16 2013Jan 01 2015Let K be a non-archimedean field, and let f in K(z) be a rational function of degree d>1. If f has potentially good reduction, we give an upper bound, depending only on d, for the minimal degree of an extension L/K such that f is conjugate over L to a ... More

A Criterion for Potentially Good Reduction in Non-archimedean DynamicsNov 26 2013Dec 02 2013Let K be a non-archimedean field, and let f in K(z) be a polynomial or rational function of degree at least 2. We present a necessary and sufficient condition, involving only the fixed points of f and their preimages, that determines whether or not the ... More

An SERS study of the galvanostatic sequence employed for the electrochemical deposition of Copper in the fabrication of InterconnectsDec 29 2007This paper reports the first study carried out by surface-enhanced Raman spectroscopy (SERS) during the galvanostatic electrodeposition (ECD) of copper from an acidic sulphate solution, in the presence of polyethylene glycol (PEG), bis-(3-sulfopropyl)-disulfide ... More

Dark Energy or local acceleration?Oct 17 2016We find that an observer with a suitable acceleration relative to the frame comoving whit the cosmic fluid, in the context of the FRW decelerating universe, measures the same cosmological redshift as the LambdaCDM model. The estimated value of this acceleration ... More

Entropy type conditions for Riemann solvers at nodesMay 27 2009This paper deals with conservation laws on networks, represented by graphs. Entropy-type conditions are considered to determine dynamics at nodes. Since entropy dispersion is a local concept, we consider a network composed by a single node $J$ with $n$ ... More

Wandering domains in non-archimedean polynomial dynamicsDec 01 2003Feb 15 2006We extend a recent result on the existence of wandering domains of polynomial functions defined over the p-adic field C_p to any algebraically closed complete non-archimedean field C_K with residue characteristic p>0. We also prove that polynomials with ... More

An Ahlfors Islands Theorem for non-archimedean meromorphic functionsJul 08 2004We present a p-adic and non-archimdean version of the Five Islands Theorem for meromorphic functions from Ahlfors' theory of covering surfaces. In the non-archimedean setting, the theorem requires only four islands, with explicit constants. We present ... More

Generalized Wasserstein distance and its application to transport equations with sourceJun 14 2012In this article, we generalize the Wasserstein distance to measures with different masses. We study the properties of such distance. In particular, we show that it metrizes weak convergence for tight sequences. We use this generalized Wasserstein distance ... More

Open canals flow with fluvial to torrential phase transitions on networksMay 17 2018Network flows and specifically open canal flows can be modeled by systems of balance laws defined on topological graphs. The shallow water or Saint-Venant system of balance laws is one of the most used model and present two phases: fluvial or sub-critical ... More

Wandering domains and nontrivial reduction in non-archimedean dynamicsDec 01 2003Dec 06 2004Let K be a non-archimedean field with residue field k, and suppose that k is not an algebraic extension of a finite field. We prove two results concerning wandering domains of rational functions f in K(z) and Rivera-Letelier's notion of nontrivial reduction. ... More

Measure dynamics with Probability Vector Fields and sourcesSep 09 2018We introduce a new formulation for differential equation describing dynamics of measures on an Euclidean space, that we call Measure Differential Equations with sources. They mix two different phenomena: on one side, a transport-type term, in which a ... More

A Theory of Information overload applied to perfectly efficient financial marketsApr 07 2019Before the massive spread of computer technology, information was far from complex. The development of technology shifted the paradigm: from individuals who faced scarce and costly information to individuals who face massive amounts of information accessible ... More

Blindfolded monkeys or financial analysts: who is worth your money?Apr 06 2019The efficient market hypothesis has been considered one of the most controversial arguments in finance, with the academia divided between who claims the impossibility of beating the market and who believes that it is possible to gain over the average ... More

Preperiodic points of polynomials over global fieldsJun 23 2005Given a global field K and a polynomial f defined over K of degree at least two, Morton and Silverman conjectured in 1994 that the number of K-rational preperiodic points of f is bounded in terms of only the degree of K and the degree of f. In 1997, for ... More

Well-posedness for scalar conservation laws with moving flux constraintsJan 15 2018We consider a strongly coupled ODE-PDE system representing moving bottlenecks immersed in vehicular traffic. The PDE consists of a scalar conservation law modeling the traffic flow evolution and the ODE models the trajectory of a slow moving vehicle. ... More

Stability of Metabolic Networks via Linear-In-Flux-ExpressionsAug 24 2018Mar 28 2019The methodology named LIFE (Linear-in-Flux-Expressions) was developed with the purpose of simulating and analyzing large metabolic systems. With LIFE, the number of model parameters is reduced by accounting for correlations among the parameters of the ... More

A Baire Category Approach to the Bang-Bang PropertyMay 06 1992Aim of this paper is to develop a new technique, based on the Baire category theorem, in order to establish the closure of reachable sets and the existence of optimal trajectories for control systems, without the usual convexity assumptions. The bang-bang ... More

Equilibrium and non-equilibrium Ising models by means of PCAJul 08 2013We propose a unified approach to reversible and irreversible PCA dynamics, and we show that in the case of 1D and 2D nearest neighbour Ising systems with periodic boundary conditions we are able to compute the stationary measure of the dynamics also when ... More

An invariant region for the collisional dynamics of two bodies on Keplerian orbitsAug 02 2014We study the dynamics of two bodies moving on elliptic Keplerian orbits around a fixed center of attraction and interacting only by means of elastic or inelastic collisions. We show that there exists a bounded invariant region: for suitable values of ... More

Time-evolving measures and macroscopic modeling of pedestrian flowNov 20 2008Apr 27 2010This paper deals with the early results of a new model of pedestrian flow, conceived within a measure-theoretical framework. The modeling approach consists in a discrete-time Eulerian macroscopic representation of the system via a family of measures which, ... More

On properties of the Generalized Wasserstein distanceApr 25 2013Nov 17 2014The Wasserstein distances $W_p$ ($p\geq 1$), defined in terms of solution to the Monge-Kantorovich problem, are known to be a useful tool to investigate transport equations. In particular, the Benamou-Brenier formula characterizes the square of the Wasserstein ... More

Stability of Metabolic Networks via Linear-In-Flux-ExpressionsAug 24 2018The methodology named LIFE (Linear-in-Flux-Expressions) was developed with the purpose of simulating and analyzing large metabolic systems. With LIFE, the number of model parameters is reduced by accounting for correlations among the parameters of the ... More

Odoni's conjecture for number fieldsMar 06 2018Let $K$ be a number field, and let $d\geq 2$. A conjecture of Odoni (stated more generally for characteristic zero Hilbertian fields $K$) posits that there is a monic polynomial $f\in K[x]$ of degree $d$, and a point $x_0\in K$, such that for every $n\geq ... More

Master equation approach to the three-state open Majorana modelApr 24 2019The three-state Majorana model in the presence of dissipation is considered. Different models of system-environment interaction are explored, ranging from situation where dissipation is the main effect to regimes where dephasing is mainly produced. It ... More

Deformation and fracture of echinoderm collagen networksSep 22 2016Collagen networks provide the main structural component of most tissues and represent an important ingredient for bio-mimetic materials for bio-medical applications. Here we study the mechanical properties of stiff collagen networks derived from three ... More

Searches for Low-Metallicity Galaxies and Preliminary Results from the KPNO International Spectroscopic SurveyJun 17 1998Searches for low-metallicity galaxies are reviewed, focusing mainly on efforts to discover systems that are relevant for use in measuring the primordial helium abundance. Wide-field objective-prism surveys for blue or emission-line galaxies have played ... More

A new age determination Gamma^2 Velorum from binary stellar evolution modelsSep 02 2009We derive a new age for the Gamma^2 Velorum binary by comparing recent observations to our set of binary models. We find that it is very unlikely the stars have not interacted, which implies that previous estimates of the age from single-star models of ... More

Low-Mass Stars in the Sloan Digital Sky Survey: Galactic Structure, Kinematics, and the Luminosity FunctionDec 08 2010Modern sky surveys, such as the Sloan Digital Sky Survey and the Two-Micron All Sky Survey, have revolutionized the study of low-mass stars. With millions of photometric and spectroscopic observations, intrinsic stellar properties can be studied with ... More

Gov2Vec: Learning Distributed Representations of Institutions and Their Legal TextSep 21 2016Sep 25 2016We compare policy differences across institutions by embedding representations of the entire legal corpus of each institution and the vocabulary shared across all corpora into a continuous vector space. We apply our method, Gov2Vec, to Supreme Court opinions, ... More

Noncommutative Khintchine and Paley inequalities via generic factorizationJul 09 2014Oct 03 2014We reprove an inequality for Rademacher series with coefficients in the Schatten class $S_1$. Our method yields the same estimate for coefficients after suitable gaps in $S_1$-valued trigonometric series; this was known for scalar-valued functions. A ... More

The missing proof of Paley's theorem about lacunary coefficientsJul 06 2014We modify the standard proof of Paley's theorem about lacunary coefficients of functions in $H^1$ to work without analytic factorization. This leads to the first direct proof of the extension of Paley's theorem that we applied to the former Littlewood ... More

The cohomology with local coefficients of compact hyperbolic manifolds - long versionJun 19 2003Nov 06 2003We extend the techniques developed by Millson and Raghunathan to prove nonvanishing results for the cohomology of compact arithmetic quotients of hyperbolic n-space with values in the local coefficient systems associated to finite dimensional irreducible ... More

Progenitors of Core-Collapse SupernovaeFeb 02 2005The progenitors of core-collapse supernovae are stars with an initial mass greater than about 8M(sun). Understanding the evolution of these stars is necessary to comprehend the evolution and differences between supernovae. We have constructed new and ... More

Intracluster Planetary Nebulae as Probes of Intracluster StarlightJul 30 2004I review the progress in research on Intracluster Planetary Nebulae (IPN). Hundreds of IPN candidates have now been found in the Virgo and Fornax galaxy clusters, and searches of two nearby galaxy groups have made. From the results thus far, approximately ... More

Black hole accretion in scalar-tensor-vector gravityMar 31 2016We examine the accretion of matter onto a black hole in scalar--tensor--vector gravity (STVG). The gravitational constant is $G=G_{N} (1 + \alpha)$ where $\alpha$ is a parameter taken to be constant for static black holes in the theory. The STVG black ... More

Intracluster Planetary NebulaeJan 28 2002We review the progress of research on intracluster planetary nebulae (IPN). In the past five years, hundreds of IPN candidates have been detected in the Virgo and Fornax galaxy clusters and searches are also underway in poorer galaxy groups. From the ... More

Discrete Fourier restriction theorems in two dimensionsJul 11 2014Consider the group ${\mathbb{R}}^2$ with the discrete topology, and denote its Fourier algebra by $A({{\mathbb{R}}_{\rm d}^2})$. We reformulate a theorem of V.A. Yudin as a statement about restrictions of functions in $A({{\mathbb{R}}_{\rm d}^2})$ to ... More

On J. Goodman's comment to "Language Trees and Zipping"Mar 13 2002Motivated by the recent submission to cond-mat archives by J. Goodman (cond-mat/0202383) whose results apparently discredit the approach we have proposed in a recent paper (Phys. Rev. Lett., 88, 048702 (2002), cond-mat/0108530), we report the results ... More

Language Trees and ZippingAug 31 2001Dec 19 2001In this letter we present a very general method to extract information from a generic string of characters, e.g. a text, a DNA sequence or a time series. Based on data-compression techniques, its key point is the computation of a suitable measure of the ... More

Perturbative Treatment of the Evolution Operator Associated with Raman CouplingsMay 10 2006A novel perturbative treatment of the time evolution operator of a quantum system is applied to the model describing a Raman-driven trapped ion in order to obtain a suitable 'effective model'. It is shown that the associated effective Hamiltonian describes ... More

A Machian Request for the Equivalence Principle in Extended Gravity and non-geodesic motionNov 04 2014Sep 26 2015Starting from the origin of Einstein general relativity (GR) the request of Mach on the theory's structure has been the core of the foundational debate. That problem is strictly connected with the nature of the mass-energy equivalence. It is well known ... More

The analyticity region of the hard sphere gas. Improved boundsMay 11 2007We find an improved estimate of the radius of analyticity of the pressure of the hard-sphere gas in $d$ dimensions. The estimates are determined by the volume of multidimensional regions that can be numerically computed. For $d=2$, for instance, our estimate ... More

Continuous-time link-based kinematic wave model: formulation, solution existence, and well-posednessAug 25 2012Mar 27 2016We present a continuous-time link-based kinematic wave model (LKWM) for dynamic traffic networks based on the scalar conservation law model. Derivation of the LKWM involves the variational principle for the Hamilton-Jacobi equation and junction models ... More

On Lennard-Jones type potentials and hard-core potentials with an attractive tailJun 30 2014We revisit an old tree graph formula, namely the Brydges-Federbush tree identity, and use it to get new bounds for the convergence radius of the Mayer series for gases of continuous particles interacting via non absolutely summable pair potentials with ... More

Sampling from a Gibbs measure with pair interaction by means of PCAJan 27 2012We consider the problem of approximate sampling from the finite volume Gibbs measure with a general pair interaction. We exhibit a parallel dynamics (Probabilistic Cellular Automaton) which efficiently implements the sampling. In this dynamics the product ... More

Clustering Bounds on N-Point Correlations for Unbounded Spin SystemsJan 29 2009We prove clustering estimates for the truncated correlations, i.e., cumulants of an unbounded spin system on the lattice. We provide a unified treatment, based on cluster expansion techniques, of four different regimes: large mass, small interaction between ... More

On Firing Rate Estimation for Dependent Interspike IntervalsJun 10 2013Jul 21 2014If interspike intervals are dependent the instantaneous firing rate does not catch important features of spike trains. In this case the conditional instantaneous rate plays the role of the instantaneous firing rate for the case of samples of independent ... More

Sparse control of Hegselmann-Krause models: Black hole and declusteringFeb 02 2018This paper elaborates control strategies to prevent clustering effects in opinion formation models. This is the exact opposite of numerous situations encountered in the literature where, on the contrary, one seeks controls promoting consensus. In order ... More

Probabilistic Cellular Automata for low temperature Ising modelJun 11 2016Jun 15 2016We construct a parallel stochastic dynamics with invariant measure converging to the Gibbs measure of the low temperature Ising model. The proof of such convergence requires a polymer expansion based on suitably defined Peierls-type contours.

Continuity of the path delay operator for dynamic network loading with spillbackJan 17 2015Mar 18 2016This paper establishes the continuity of the path delay operators for dynamic network loading (DNL) problems based on the Lighthill-Whitham-Richards model, which explicitly capture vehicle spillback. The DNL describes and predicts the spatial-temporal ... More

A gradient flow approach to linear Boltzmann equationsJul 28 2017Nov 14 2018We introduce a gradient flow formulation of linear Boltzmann equations. Under a diffusive scaling we derive a diffusion equation by using the machinery of gradient flows.

Stochasticity, a variable stellar upper-mass limit, binaries and star-formation rate indicatorsJun 21 2011Jan 31 2012Using our Binary Population And Spectral Synthesis (BPASS) code we explore the effects on star-formation rate indicators of stochastically sampling the stellar initial mass function, adding a cluster mass dependent stellar upper-mass limit and including ... More

A silicon-based cluster state quantum computerMay 25 2009It has been over ten years since Kane's influential proposal for a silicon-based nuclear spin quantum computer using phosphorous donors. Since then, silicon-based architectures have been refined as the experimental challenges associated with the original ... More

How SFRIs vary with methods of sampling the IMF and duplicityAug 07 2010Using our new Binary Population and Spectral Synthesis (BPASS) code we explore the affect of binary populations on the integrated spectra of galaxies. We also explore the interplay of binary populations and a varying maximum stellar mass. We compare our ... More

Predicting and Understanding Law-Making with Machine LearningJul 07 2016Out of nearly 70,000 bills introduced in the U.S. Congress from 2001 to 2015, only 2,513 were enacted. We developed a machine learning approach to forecasting the probability that any bill will become law. Starting in 2001 with the 107th Congress, we ... More

Intracluster Planetary NebulaeJun 07 2006I review the progress in research on intracluster planetary nebulae over the last five years. Hundreds more intracluster planetary nebulae have been detected in the nearby Virgo and Fornax galaxy clusters, searches of several galaxy groups have been made, ... More

Fast mixing for the low temperature 2d Ising model through irreversible parallel dynamicsJul 24 2014We study metastability and mixing time for a non-reversible probabilistic cellular automaton. With a suitable choice of the parameters, we first show that the stationary distribution is close in total variation to a low temperature Ising model. Then we ... More

Some spin glass ideas applied to the clique problemMay 12 2006In this paper we introduce a new algorithm to study some NP-complete problems. This algorithm is a Markov Chain Monte Carlo (MCMC) inspired by the cavity method developed in the study of spin glass. We will focus on the maximum clique problem and we will ... More

Sensor Deployment for Network-like EnvironmentsJun 17 2010This paper considers the problem of optimally deploying omnidirectional sensors, with potentially limited sensing radius, in a network-like environment. This model provides a compact and effective description of complex environments as well as a proper ... More

Networked Embedded Control Systems: from Modelling to ImplementationAug 24 2013Networked Embedded Control Systems are distributed control systems where the communication among plants, sensors, actuators and controllers occurs in a shared network. They have been the subject of intensive study in the last few years. In this paper ... More

Non Sequential Recursive Pair Substitution: Some Rigorous ResultsJul 28 2006We present rigorous results on some open questions on NSRPS, non sequential recursive pairs substitution method (see Grassberger in \cite{G}). In particular, starting from the action of NSRPS on finite strings we define a corresponding natural action ... More

Observability and diagnosability of finite state systems: a unifying frameworkAug 10 2016Nov 25 2016In this paper, a general framework is proposed for the analysis and characterization of observability and diagnosability of finite state systems. Observability corresponds to the reconstruction of the system's discrete state, while diagnosability corresponds ... More

Potts model on infinite graphs and the limit of chromatic polynomialsJan 11 2002Given an infinite graph $\GI$ quasi-transitive and amenable with maximum degree $\D$, we show that reduced ground state degeneracy per site $W_r(\GI,q)$ of the q-state antiferromagnetic Potts model at zero temperature on $\GI$ is analytic in the variable ... More