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Learning spatially-correlated temporal dictionaries for calcium imagingFeb 08 2019Calcium imaging has become a fundamental neural imaging technique, aiming to recover the individual activity of hundreds of neurons in a cortical region. Current methods (mostly matrix factorization) are aimed at detecting neurons in the field-of-view ... More

A Study of "Churn" in Tweets and Real-Time Search Queries (Extended Version)May 30 2012The real-time nature of Twitter means that term distributions in tweets and in search queries change rapidly: the most frequent terms in one hour may look very different from those in the next. Informally, we call this phenomenon "churn". Our interest ... More

Diffusion NetsJun 25 2015Non-linear manifold learning enables high-dimensional data analysis, but requires out-of-sample-extension methods to process new data points. In this paper, we propose a manifold learning algorithm based on deep learning to create an encoder, which maps ... More

Hierarchical Coupled Geometry Analysis for Neuronal Structure and Activity Pattern DiscoveryNov 06 2015In the wake of recent advances in experimental methods in neuroscience, the ability to record in-vivo neuronal activity from awake animals has become feasible. The availability of such rich and detailed physiological measurements calls for the development ... More

Fast Data in the Era of Big Data: Twitter's Real-Time Related Query Suggestion ArchitectureOct 27 2012We present the architecture behind Twitter's real-time related query suggestion and spelling correction service. Although these tasks have received much attention in the web search literature, the Twitter context introduces a real-time "twist": after ... More

Symmetric self-adjoint Hopf categories and a categorical Heisenberg doubleJun 16 2014Feb 29 2016Motivated by the work of of A. Zelevinsky on positive self-adjoint Hopf algebras, we define what we call a symmetric self-adjoint Hopf structure for a certain kind of semisimple abelian categories. It is known that every positive self-adjoint Hopf algebra ... More

A geometric approach to Hall algebras I: Higher AssociativityNov 28 2016We construct a geometric system from which the Hall algebra can be recovered. This system inherently satisfies higher associativity conditions and thus leads to a categorification of the Hall algebra. We then suggest how to use this approach to construct ... More

Band-gaps in electrostatically controlled dielectric laminates subjected to incremental shear motionsJan 03 2012The thickness vibrations of a finitely deformed infinite periodic laminate made out of two layers of dielectric elastomers is studied. The laminate is pre-stretched by inducing a bias electric field perpendicular the the layers. Incremental time-harmonic ... More

A Uniform Version of the Petrov-Khovanskii TheoremAug 09 2011An Abelian integral is the integral over the level curves of a Hamiltonian $H$ of an algebraic form $\omega$. The infinitesimal Hilbert sixteenth problem calls for the study of the number of zeros of Abelian integrals in terms of the degrees $H$ and $\omega$. ... More

Neutrino signals in electron-capture storage-ring experimentsJul 07 2014Jun 15 2016Neutrino signals in electron-capture decays of hydrogen-like parent ions P in storage-ring experiments at GSI are reconsidered, with special emphasis placed on the storage-ring quasi-circular motion of the daughter ions D in two-body decays P --> D + ... More

Neutrino effects in two-body electron-capture measurements at GSISep 07 2008May 30 2010Oscillatory behavior of electron capture rates in the two-body decay of hydrogen-like ions into recoil ions plus undetected neutrinos, with a period of approximately 7 s, was reported in storage ring single-ion experiments at the GSI Laboratory, Darmstadt. ... More

Lambda-Lambda hypernuclei and stranger systemsDec 17 2003Recent experiments on production of Lambda-Lambda hypernuclei have renewed interest in extracting the Lambda-Lambda interaction from the few events identified since the inception of this field forty years ago. Few-body calculations relating to this issue ... More

To bind or not to bind: Lambda-Lambda hypernuclei and Xi hyperonsNov 22 2002Four-body Faddeev-Yakubovsky calculations for Lambda-Lambda-p-n do not produce a bound state for Lambda-Lambda hydrogen 4, although suitably defined three-body Faddeev calculations for Lambda-Lambda-d produce a 1+ bound state for Lambda-Lambda interactions ... More

Physics of Antiproton Nuclear Interactions near ThresholdJun 27 2001Antiproton-nucleus optical potentials fitted to $\bar p$-atom level shifts and widths are used to calculate the recently reported very low energy ($p_{L}<100$ MeV/c) $\bar p$ cross sections for annihilation on light nuclei. The apparent suppression of ... More

Meson Assisted Strange DibaryonsNov 29 2010Aug 10 2011The state of the art in dibaryons with strangeness is reviewed, including the K^{-}pp dibaryon which signals the onset of antikaon-nuclear binding. A new type of strange dibaryons is highlighted, where the primary binding mechanism is provided by strong ... More

Overview of Strangeness Nuclear PhysicsApr 26 2009Apr 30 2009Selected topics in Strangeness Nuclear Physics are reviewed: Lambda-hypernuclear spectroscopy and structure, Sigma-hyperon nuclear interaction, multistrangeness, and anti-kaons in nuclei.

Why the traditional concept of local hardness does not workJul 21 2011Apr 25 2012Finding a proper local measure of chemical hardness has been a long-standing aim of density functional theory. The traditional approach to defining a local hardness index, by the derivative of the chemical potential with respect to the electron density ... More

Multiplicity Estimates: a Morse-theoretic approachJun 07 2014Aug 13 2015The problem of estimating the multiplicity of the zero of a polynomial when restricted to the trajectory of a non-singular polynomial vector field, at one or several points, has been considered by authors in several different fields. The two best (incomparable) ... More

Pfaffian Intersections and Multiplicity CyclesJan 14 2015Aug 13 2015We consider the problem of estimating the intersection multiplicity between an algebraic variety and a Pfaffian foliation, at every point of the variety. We show that this multiplicity can be majorized at every point $p$ by the local algebraic multiplicity ... More

Density of algebraic points on Noetherian varietiesApr 03 2017Let $\Omega\subset{\mathbb R}^n$ be a relatively compact domain. A finite collection of real-valued functions on $\Omega$ is called a \emph{Noetherian chain} if the partial derivatives of each function are expressible as polynomials in the functions. ... More

MESON2016 -- Concluding RemarksSep 15 2016Several topics presented and discussed at MESON2016 are highlighted, including pentaquarks, dibaryons and meson-nuclear bound states.

A Theoretically Grounded Application of Dropout in Recurrent Neural NetworksDec 16 2015May 25 2016Recurrent neural networks (RNNs) stand at the forefront of many recent developments in deep learning. Yet a major difficulty with these models is their tendency to overfit, with dropout shown to fail when applied to recurrent layers. Recent results at ... More

Comment on "Lattice determination of $Σ$-$Λ$ mixing"Jun 03 2015Jul 19 2015A recent lattice QCD (LQCD) calculation of $\Sigma$-$\Lambda$ mixing by the QCDSF-UKQCD Collaboration [Phys. Rev. D 91, 074512 (2015)] finds a mixing angle about half of that found from the Dalitz-von Hippel (DvH) flavor SU(3) mass formula which relates ... More

Charge symmetry breaking in $Λ$ hypernuclei: updated HYP 2015 progress reportSep 01 2016Sep 14 2016Ongoing progress in understanding and evaluating charge symmetry breaking in $\Lambda$ hypernuclei is discussed in connection to recent measurements of the $_{\Lambda}^{4}{\rm H}(0^+_{\rm g.s.})$ binding energy at MAMI [A1 Collaboration: PRL 114 (2015) ... More

Charge symmetry breaking in $Λ$ hypernuclei revisitedMar 05 2015Apr 19 2015The large charge symmetry breaking (CSB) implied by the $\Lambda$ binding energy difference $\Delta B^{4}_{\Lambda}(0^+_{\rm g.s.})\equiv B_{\Lambda}(_{\Lambda}^4$He)$-$$B_{\Lambda}(_{\Lambda}^4$H) = 0.35$\pm$0.06 MeV of the $A=4$ mirror hypernuclei ground ... More

Limits on $\boldmath n {\bar n}$ oscillations from nuclear stabilityJul 13 1999Nov 04 1999The relationship between the lower limit on the nuclear stability lifetime as derived from the non disappearance of `stable` nuclei ($T_{d}~\gtrsim~5.4~\times~10^{31}$ yr), and the lower limit thus implied on the oscillation time $(\tau_{n \bar n})$ of ... More

Stability of equilibrium under constraints: Role of second-order constrained derivativesAug 13 2007Jul 22 2010In the stability analysis of an equilibrium, given by a stationary point of a functional F[n] (free energy functional, e.g.), the second derivative of F[n] plays the essential role. If the system in equilibrium is subject to the conservation constraint ... More

Does the derivative of the energy density functional provide a proper quantitative formulation of electronegativity?Sep 27 2012It is pointed out that the derivative of the energy density functional does not provide a valid local electronegativity measure, in spite of its appealing property of becoming constant for ground-state equilibrium systems.

Quantitative estimates in approximation by Bernstein-Durrmeyer-Choquet operators with respect to monotone and submodular set functionsNov 23 2015For the qualitative results of pointwise and uniform approximation obtained in \cite{Gal-Opris}, we present general quantitative estimates in terms of the modulus of continuity and in terms of a $K$-functional, for the generalized multivariate Bernstein-Durrmeyer ... More

Recent studies of kaonic atoms and nuclear clustersJan 10 2013Sep 08 2013Recent studies of kaonic atoms, few-body kaonic quasibound states and kaonic nuclei are reviewed, with emphasis on implementing the subthreshold energy dependence of the Kbar-N interaction in chiral interaction models that are consistent with the SIDDHARTA ... More

Antikaon-nucleus dynamics: from quasibound states to kaon condensationDec 11 2009Aug 20 2010Coupled-channel Kbar-N dynamics near threshold and its repercussions in few-body Kbar-nuclear systems are briefly reviewed, highlighting studies of a K^-pp quasibound state. In heavier nuclei, the extension of mean-field calculations to multi-Kbar nuclear ... More

pi^- decay rates of p-shell hypernuclei revisitedApr 07 2009Aug 12 2009Explicit expressions for the parity-violating s-wave and the parity-conserving p-wave contributions to pi- weak-decay rates of Lambda hypernuclei in the 1p shell are given in the weak-coupling limit, to update previous shell-model calculations and to ... More

The hypernuclear physics heritage of Dick Dalitz (1925-2006)Jan 01 2007Mar 28 2007The major contributions of Richard H. Dalitz to hypernuclear physics, since his first paper in 1955 to his last one in 2005 covering a span of 50 years during which he founded and led the theoretical study of hypernuclei, are reviewed from a personal ... More

$\bar K$-Nuclear Deeply Bound States?Apr 25 2006Following the prediction by Akaishi and Yamazaki of relatively narrow $\bar K$-nuclear states, deeply bound by over 100 MeV where the main decay channel $\bar K N \to \pi \Sigma$ is closed, several experimental signals in stopped $K^-$ reactions on light ... More

Introducing Time Dependence into the Static Maxwell EquationsJun 27 2001Using to a minimum extent special relativity input, and relying on the Lorentz-force expression for the force acting on a charged particle in motion under the influence of electric (E) and magnetic (B) fields, the Maxwell curl equations are shown to follow ... More

Pion-assisted $NΔ$ and $ΔΔ$ dibaryons, and beyondNov 30 2014Feb 26 2015Experimental evidence for $I(J^P)=0(3^+)$ $\Delta\Delta$ dibaryon ${\cal D}_{03}(2370)$ has been presented recently by the WASA-at-COSY Collaboration. Here I review new hadronic-basis Faddeev calculations of $L=0$ nonstrange pion-assisted $N\Delta$ and ... More

Comment on recent Strangeness -2 predictionsJan 07 2013Apr 26 2013It is pointed out that the Chiral Constituent Quark Model (CCQM) interactions that bind the H dibaryon and Lambda-Lambda-3H overbind Lambda-Lambda-6He by more than 4 MeV, thus outdating the CCQM in the strangeness S=-2 sector.

Differentiation of functionals with variables coupled by constraints: Analysis through a fluid-dynamical modelJan 11 2007Mar 08 2007Analysing an application in liquid film dynamics, a guide for obtaining the corresponding constrained functional derivatives for constraints coupling the functional variables is given. The use of constrained derivatives makes the proper account for constraints ... More

The ground-state energy and external potential as functionals of the electron density and their derivativesAug 18 2011Aug 22 2011It is shown that the ground-state energy as a functional solely of the electron density is determined by the asymptotic value of the derivative of the degree-one homogeneous extension of the universal density functional F[n] at the given electron number. ... More

Proof of non-extremal nature of excited-state energies in nonrelativistic quantum mechanics with the use of constrained derivativesApr 20 2011Apr 26 2011With the use of a second derivative test based on constrained second derivatives, a proof is given that excited states in nonrelativistic quantum mechanics are saddle points of the energy expectation value, and is shown, further, how to determine their ... More

Bezout-type Theorems for Differential FieldsJan 13 2015Mar 02 2015We prove analogs of the Bezout and the Bernstein-Kushnirenko-Khovanskii theorems for systems of algebraic differential conditions over differentially closed fields. Namely, given a system of algebraic conditions on the first $l$ derivatives of an $n$-tuple ... More

Meson assisted dibaryonsNov 20 2015Mar 14 2016We discuss a new type of L=0 positive-parity dibaryons, pion-B-B', where the dominant binding mechanism is provided by resonating p-wave pion-baryon interactions. Recent calculations of such pion assisted dibaryons are reviewed with special emphasis placed ... More

Comment on a recent attempt to explain the `GSI anomaly' by initial-state e.m. spin-rotation couplingFeb 12 2013Jun 11 2014A recently proposed solution of the `GSI anomaly' by spin precession of the decaying heavy ions in the magnetic field that controls their circular motion at the GSI storage ring [G. Lambiase, G. Papini, G. Scarpetta, PLB 718 (2013) 998, Ann. Phys. 332 ... More

Neutrino magnetic moment effects in electron-capture measurements at GSIApr 23 2010Jun 02 2010I conjecture that the time modulated decay rates reported in single ion measurements of two body electron capture decay of hydrogen like heavy ions at GSI may be related to neutrino spin precession in the static magnetic field of the storage ring. These ... More

Overview of Antikaon-Nuclear Quasi-Bound StatesOct 24 2006Experimental evidence for antikaon-nuclear quasi-bound states is briefly reviewed. Theoretical and phenomenological arguments for and against the existence of such states are considered, based on constructing antikaon-nuclear optical potentials from various ... More

Phenomenology of kaonic atoms and other strange hadronic atomsJan 03 2001Recent optical-potential studies of the phenomenology of kaonic atoms are reviewed. It is shown that the data can be fitted by a complex optical potential with either a relatively shallow attractive component (about -50 MeV at nuclear-matter density), ... More

MESON2016 -- Concluding RemarksSep 15 2016Oct 05 2016Several topics presented and discussed at MESON2016 are highlighted, including pentaquarks, dibaryons and meson-nuclear bound states.

Functional differentiation under simultaneous conservation constraints (Constrained functional differentiation in statistical physics and hydrodynamics)Mar 16 2006Feb 15 2007Analytical formulae for functional differentiation under simultaneous K-conservation constraints, with K the integral of some function of the functional variable, are derived, making the proper account for the simultaneous conservation of normalization ... More

Local energy: a basis for local electronegativity and local hardnessJul 25 2011Oct 13 2011The traditional approach to establishing a local measure of chemical hardness, by defining a local hardness concept through the derivative of the chemical potential with respect to the electron density, has been found to have limited chemical applicability, ... More

Inference-less Density Estimation using Copula Bayesian NetworksMar 15 2012We consider learning continuous probabilistic graphical models in the face of missing data. For non-Gaussian models, learning the parameters and structure of such models depends on our ability to perform efficient inference, and can be prohibitive even ... More

Zero counting and invariant sets of differential equationsOct 01 2015Consider a polynomial vector field $\xi$ in $\mathbb{C}^n$ with algebraic coefficients, and $K$ a compact piece of a trajectory. Let $N(K,d)$ denote the maximal number of isolated intersections between $K$ and an algebraic hypersurface of degree $d$. ... More

Finiteness properties of formal Lie group actionsMay 21 2014Aug 13 2015Following ideas of Arnold and Seigal-Yakovenko, we prove that the space of matrix coefficients of a formal Lie group action belongs to a Noetherian ring. Using this result we extend the uniform intersection multiplicity estimates of these authors from ... More

Some effective estimates for André-Oort in $Y(1)^n$Sep 14 2018Let $X\subset Y(1)^n$ be a subvariety defined over a number field $\mathbb F$ and let $(P_1,\ldots,P_n)\in X$ be a special point not contained in a positive-dimensional special subvariety of $X$. We show that the if a coordinate $P_i$ corresponds to an ... More

Hypernuclear physics legacy and heritage of Dick DalitzApr 25 2008The major contributions of Richard H. Dalitz to hypernuclear physics, since his first paper in 1955 to his last one in 2005 covering a span of 50 years during which he founded and led the theoretical study of hypernuclei, are reviewed from a personal ... More

On the scattering length of the K^- d systemJul 30 2006Multiple-scattering approximations to Faddeev calculations of the K^- d scattering length are reviewed and compared with published Kbar-N-N <--> pi-Y-N fully reactive Faddeev calculations. A new multiple-scattering approximation which goes beyond the ... More

Strangeness nuclear physics - 2010Aug 20 2010Dec 23 2010Selected topics in Strangeness Nuclear Physics are reviewed: Lambda hypernuclear spectroscopy and structure, multistrangeness, and Kbar mesons in nuclei

Overview of Kbar-N and Kbar-nucleus dynamicsNov 30 2008Nov 15 2009The main features of coupled-channel Kbar-N dynamics near threshold and its repercussions in few-body Kbar-nuclear systems are briefly reviewed highlighting the I=1/2 Kbar-N-N system. For heavier nuclei, the extension of mean-field calculations to multi-Kbar ... More

Overview of Antikaon-Nuclear Theory and PhenomenologyMar 29 2007Experimental evidence for antikaon-nuclear quasibound states is briefly reviewed. Theoretical and phenomenological arguments for and against deep antikaon-nucleus potentials which might allow for narrow quasibound states are reviewed, with recent calculations ... More

On constrained second derivativesJul 12 2012Aug 13 2012The question of defining unique, generally applicable constrained second, and higher-order, derivatives is investigated. It is shown that second-order constrained derivatives obtained via two successive constrained differentiations provide a proper tool ... More

Treatments of the exchange energy in density-functional theoryAug 03 2007Sep 03 2008Following a recent work [Gal, Phys. Rev. A 64, 062503 (2001)], a simple derivation of the density-functional correction of the Hartree-Fock equations, the Hartree-Fock-Kohn-Sham equations, is presented, completing an integrated view of quantum mechanical ... More

Multiplicity estimates, analytic cycles and Newton polytopesJul 04 2014Nov 19 2014We consider the problem of estimating the multiplicity of a polynomial when restricted to the smooth analytic trajectory of a (possibly singular) polynomial vector field at a given point or points, under an assumption known as the D-property. Nesterenko ... More

Semantics, Modelling, and the Problem of Representation of Meaning -- a Brief Survey of Recent LiteratureFeb 28 2014Over the past 50 years many have debated what representation should be used to capture the meaning of natural language utterances. Recently new needs of such representations have been raised in research. Here I survey some of the interesting representations ... More

The F-snapshot ProblemOct 08 2015Aguilera, Gafni and Lamport introduced the signaling problem in [5]. In this problem, two processes numbered 0 and 1 can call two procedures: update and Fscan. A parameter of the problem is a two- variable function $F(x_0,x_1)$. Each process $p_i$ can ... More

The mathematics of functional differentiation under conservation constraintMar 09 2006Dec 12 2006The mathematics of K-conserving functional differentiation, with K being the integral of some invertible function of the functional variable, is clarified. The most general form for constrained functional derivatives is derived from the requirement that ... More

Kaonic atoms and in-medium K-N amplitudes II: interplay between theory and phenomenologyNov 27 2012Jan 23 2013A microscopic kaonic-atom optical potential $V^{(1)}_{K^-}$ is constructed, using the Ikeda-Hyodo-Weise NLO chiral $K^-N$ subthreshold scattering amplitudes constrained by the kaonic hydrogen SIDDHARTA measurement, and incorporating Pauli correlations ... More

Room for an S = +1 pentaquark in K^+ - nucleus phenomenologyNov 14 2005Feb 02 2006Evidence for excitation of exotic S=+1 pentaquark degrees of freedom is presented by studying optical-potential fits to K^+ - nucleus total, reaction and elastic-differential cross section data at p(lab) = 500 - 700 MeV/c. Estimates of the underlying ... More

On the determination of the pion effective mass in nuclei from pionic atomsMay 03 1998The binding energies of the deeply bound 1s and 2p states in pionic atoms of $^{207}$Pb, recently established experimentally in the $^{208}$Pb(d,$^3$He) reaction, have been used by several groups to derive the pion effective mass in nuclear matter. We ... More

Traces of Theta^+ pentaquark in K^+ nucleus dynamicsNov 12 2004Jan 21 2005Long-standing anomalies in K^+ nucleus integral cross sections could be resolved by extending the impulse-approximation t*rho optical-potential framework to incorporate K^+ absorption on pairs of nucleons. Substantially improved fits to the data at p(lab)=500-700 ... More

An Effective Equation of State for Dense Matter with StrangenessApr 09 1997Jul 08 1997An effective equation of state (EoS) which generalizes the Lattimer-Swesty equation for nuclear matter is presented for matter at supernuclear densities including strange baryons. It contains an adjustable baryon potential energy density, based on models ... More

Energy surface, chemical potentials, Kohn-Sham energies in spin-polarized density functional theoryOct 26 2009Jul 19 2010On the basis of the zero-temperature grand canonical ensemble generalization of the energy E[N,N_s,v,B] for fractional particle N and spin N_s numbers, the energy surface over the (N,N_s) plane is displayed and analyzed in the case of homogeneous external ... More

Pion-assisted Nucleon-Delta and Delta-Delta dibaryonsJan 14 2014Apr 08 2014N-Delta and Delta-Delta dibaryon candidates are discussed and related quark-based calculations are reviewed. New hadronic calculations of L=0 nonstrange dibaryon candidates are reported. For N-Delta, I(JP)=1(2+) and 2(1+) S-matrix poles slightly below ... More

Synthesis of Parametric Programs using Genetic Programming and Model CheckingFeb 27 2014Formal methods apply algorithms based on mathematical principles to enhance the reliability of systems. It would only be natural to try to progress from verification, model checking or testing a system against its formal specification into constructing ... More

On the Constant in The Lower Estimate for the Bernstein OperatorOct 13 2014For functions belonging to the classes $C^{2}[0, 1]$ and $C^{3}[0, 1]$, we establish the lower estimate with an explicit constant in approximation by Bernstein polynomials in terms of the second order Ditzian-Totik modulus of smoothness. Several applications ... More

On the compositum of all degree d extensions of a number fieldOct 15 2012Aug 16 2013Let k be a number field, and denote by k^[d] the compositum of all degree d extensions of k in a fixed algebraic closure. We first consider the question of whether all algebraic extensions of k of degree less than d lie in k^[d]. We show that this occurs ... More

A Theoretically Grounded Application of Dropout in Recurrent Neural NetworksDec 16 2015Oct 05 2016Recurrent neural networks (RNNs) stand at the forefront of many recent developments in deep learning. Yet a major difficulty with these models is their tendency to overfit, with dropout shown to fail when applied to recurrent layers. Recent results at ... More

Dropout as a Bayesian Approximation: Representing Model Uncertainty in Deep LearningJun 06 2015Oct 04 2016Deep learning tools have gained tremendous attention in applied machine learning. However such tools for regression and classification do not capture model uncertainty. In comparison, Bayesian models offer a mathematically grounded framework to reason ... More

Improving the Gaussian Process Sparse Spectrum Approximation by Representing Uncertainty in Frequency InputsMar 09 2015Mar 20 2015Standard sparse pseudo-input approximations to the Gaussian process (GP) cannot handle complex functions well. Sparse spectrum alternatives attempt to answer this but are known to over-fit. We suggest the use of variational inference for the sparse spectrum ... More

Multiplicities of Noetherian deformationsJun 23 2014Aug 12 2015The \emph{Noetherian class} is a wide class of functions defined in terms of polynomial partial differential equations. It includes functions appearing naturally in various branches of mathematics (exponential, elliptic, modular, etc.). A conjecture by ... More

Intersection multiplicities of Noetherian functionsAug 08 2011We provide a partial answer to the following problem: \emph{give an effective upper bound on the multiplicity of non-isolated common zero of a tuple of Noetherian functions}. More precisely, consider a foliation defined by two commuting polynomial vector ... More

Wilkie's conjecture for restricted elementary functionsMay 16 2016We consider the structure ${\mathbb R}^{\mathrm{RE}}$ obtained from $({\mathbb R},<,+,\cdot)$ by adjoining the restricted exponential and sine functions. We prove Wilkie's conjecture for sets definable in this structure: the number of rational points ... More

Uniform upper bounds for the cyclicity of the zero solution of the Abel differential equationApr 09 2015Given two polynomials $P,q$ we consider the following question: "how large can the index of the first non-zero moment $\tilde{m}_k=\int_a^b P^k q$ be, assuming the sequence is not identically zero?". The answer $K$ to this question is known as the moment ... More

Entrainment of the intrinsic dynamics of single isolated neurons by natural-like inputJan 31 2013Neuronal dynamics is intrinsically unstable, producing activity fluctuations that are essentially scale-free. Here we show that while these scale-free fluctuations are independent of temporal input statistics, they can be entrained by input variation. ... More

On Normal Subgroups of Coxeter Groups Generated by Standard Parabolic SubgroupsFeb 26 2005We discuss one construction of nonstandard subgroups in the category of Coxeter groups. Two formulae for the growth series of such a subgroups are given. As an application we construct a flag simple convex polytope, whose f-polynomial has non-real roots. ... More

Approximation by Choquet Integral OperatorsJul 22 2014The main aim of this paper is to show that the nonlinear Choquet integral can be used to construct nonlinear approximation operators, exactly as by the use in probability of the Lebesgue-type integral, linear and positive approximation operators are constructed. ... More

Observational and Physical Classification of SupernovaeNov 27 2016This chapter describes the current classification scheme of supernovae (SNe). This scheme has evolved over many decades and now includes numerous SN Types and sub-types. Many of these are universally recognized, while there are controversies regarding ... More

On the Bernstein's constant in convex approximationApr 12 2015Feb 21 2016Denoting by $E_{n}^{(+2)}(f)$ the best uniform approximation of $f$ by convex polynomials of degree $\le n$, there is an open question if there exists the limit $\lim_{n\to \infty}n^{\lambda}E_{n}^{(+2)}(|x|^{\lambda})$ for $\lambda \ge 1$.

On a class of degenerate parabolic equations with dynamic boundary conditionsSep 02 2011Feb 17 2012We consider a quasi-linear parabolic equation with nonlinear dynamic boundary conditions occurring as a natural generalization of the semilinear reaction-diffusion equation with dynamic boundary conditions. The corresponding class of initial and boundary ... More

High-order maximum principles for the stability analysis of positive bilinear control systemsJul 13 2014We consider a continuous-time positive bilinear control system (PBCS), i.e. a bilinear control system with Metzler matrices. The positive orthant is an invariant set of such a system, and the corresponding transition matrix C(t) is entrywise nonnegative ... More

Analytical and numerical analyses of the micromechanics of soft fibrous connective tissuesJan 02 2012State of the art research and treatment of biological tissues require accurate and efficient methods for describing their mechanical properties. Indeed, micromechanics motivated approaches provide a systematic method for elevating relevant data from the ... More

Kaonic atoms and in-medium $K^-N$ amplitudesJan 18 2012May 09 2012Recent work on the connection between in-medium subthreshold $K^-N$ amplitudes and kaonic atom potentials is updated by using a next to leading order chirally motivated coupled channel separable interaction model that reproduces $\bar KN$ observables ... More

The s-wave repulsion and deeply bound pionic atoms: fact and fancyNov 27 2002Fits to a large data set of pionic atoms show that the `missing' s-wave repulsion is accounted for when a density dependence suggested recently by Weise is included in the isovector term of the s-wave pion optical potential. The importance of using large ... More

Ab-initio calculations of charge symmetry breaking in the A=4 hypernucleiDec 03 2015Aug 04 2016We report on ab-initio NCSM calculations of the A=4 mirror Lambda hypernuclei Lambda-4H and Lambda-4He, using the Bonn-Juelich LO chiral EFT YN potentials plus a CSB Lambda0--Sigma0 mixing vertex. In addition to reproducing rather well the 0+ (g.s.) and ... More

In-medium nuclear interactions of low-energy hadronsMay 27 2007Aug 16 2007Experimental and theoretical developments of the last decade in the study of exotic atoms and some related low-energy reactions are reviewed, in order to provide information on the in-medium hadron-nucleon t matrix over a wide range of densities up to ... More

a-T-menability of groups acting on treesNov 13 2003We present some partial results concerning a-T-menability of groups acting on trees. Various known results are given uniform proofs.

Relativistic three-body calculations of a Y=1, I=3/2, JP=2+ pi-Lambda-N -- pi-Sigma-N dibaryonSep 18 2012Jan 08 2013The pi-Lambda-N - pi-Sigma-N coupled-channel system with quantum numbers (Y,I,JP) = (1,3/2,2+) is studied in a relativistic three-body model, using two-body separable interactions in the dominant p-wave pion-baryon and 3S1 YN channels. Three-body equations ... More

Coupled channels calculation of a pion-Lambda-nucleon quasibound stateMar 26 2010May 20 2010We extend the study of a JP=2+, I=3/2 pion-Lambda-nucleon quasibound state [Phys. Rev. D 78, 014013 (2008)] by solving nonrelativistic Faddeev equations, using 3S1-3D1, Lambda N - Sigma N coupled channels Chiral Quark Model local interactions, and pion-nucleon ... More

Three-body model calculations of Nucleon-Delta and Delta-Delta dibaryon resonancesFeb 13 2014Mar 13 2014Three-body hadronic models with separable pairwise interactions are formulated and solved to calculate resonance masses and widths of L=0 N-Delta and Delta-Delta dibaryons using relativistic kinematics. For N-Delta, I(JP)=1(2+) and 2(1+) resonances slightly ... More

Symplectic configurationsApr 06 2005Sep 03 2006We define a class of symplectic fibrations called symplectic configurations. They are natural generalization of Hamiltonian fibrations. Their geometric and topological properties are investigated. We are mainly concentrated on integral symplectic manifolds. ... More

Self-organized criticality in single neuron excitabilityOct 28 2012Aug 07 2013We present experimental and theoretical arguments, at the single neuron level, suggesting that neuronal response fluctuations reflect a process that positions the neuron near a transition point that separates excitable and unexcitable phases. This view ... More

Dropout as a Bayesian Approximation: AppendixJun 06 2015May 25 2016We show that a neural network with arbitrary depth and non-linearities, with dropout applied before every weight layer, is mathematically equivalent to an approximation to a well known Bayesian model. This interpretation might offer an explanation to ... More