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Nonlocal Andreev Reflections as a Source of Spin Exchange and Kondo ScreeningSep 17 2018Jan 17 2019We report on a novel exchange mechanism, mediating the Kondo screening, in a correlated double quantum dot structure in the proximity of superconductor, stemming from nonlocal Andreev reflection processes. We estimate its strength perturbatively and corroborate ... More

Strong spin Seebeck effect in Kondo T-shaped double quantum dotsJun 20 2016We theoretically investigate the thermoelectric and spin thermoelectric properties of a T-shaped double quantum dot strongly coupled to two ferromagnetic leads, focusing on transport regime where the system exhibits the two-stage Kondo effect. We study ... More

Intersubband pairing induced Fulde-Ferrell phase in metallic nanofilmsApr 12 2019We consider a free-standing metallic nanofilm with a predominant intersubband paring which emerges as a result of the confinement in the growth direction. We show that the Fermi wave vector mismatch between the subbands, detrimental to the intersubband ... More

Orbital effect on the in-plane critical field in free-standing superconducting nanofilmsMay 21 2015The superconductor to normal metal phase transition induced by the in-plane magnetic field is studied in free-standing Pb(111) nanofilms. In the considered structures the energy quantization induced by the confinement leads to the thickness-dependent ... More

Fulde-Ferrell state in superconducting core/shell nanowires: role of the orbital effectJul 27 2017The orbital effect on the Fulde-Ferrell (FF) phase is investigated in superconducting core/shell nanowires subjected to the axial magnetic field. The confinement in the radial direction results in the quantization of the electron motion with energies ... More

Applications of amenable semigroups in operator theoryMay 24 2017The paper deals with continuous homomorphisms $S \ni s \mapsto T_s \in L(E)$ of amenable semigroups $S$ into the algebra $L(E)$ of all bounded linear operators on a Banach space $E$. For a closed linear subspace $F$ of $E$, sufficient conditions are given ... More

Renormalization of the Majorana bound state decay length in a perpendicular magnetic fieldNov 17 2017Jan 12 2018Orbital effects of a magnetic field in a proximitized semiconductor nanowire are studied in the context of the spatial extent of Majorana bound states. We develop analytical model that explains the impact of concurring effects of paramagnetic coupling ... More

Probing Andreev reflection reach in semiconductor-superconductor hybrids by Aharonov-Bohm effectSep 28 2018Jan 21 2019Recent development in fabrication of hybrid nanostructures allows for creation of quantum interferometers that combine semiconductor and superconductor materials. We show that in those nanostructures the joint phenomena of Aharonov-Bohm effect and Andreev ... More

Durability of the superconducting gap in Majorana nanowires under orbital effects of a magnetic fieldApr 17 2018Jun 23 2018We analyze the superconducting gap in semiconductor/superconductor nanowires under orbital effects of a magnetic field in the weak- and strong-hybridization regimes using an universal procedure that guarantees the stationarity of the system -- vanishing ... More

Interplay of the Kondo effect with the induced pairing in electronic and caloric properties of T-shaped double quantum dotsApr 23 2018Jun 29 2018We examine the influence of the superconducting proximity effect on the transport properties of a T-shaped double quantum dot strongly coupled to two normal, nonmagnetic or ferromagnetic leads. We show that the two-stage Kondo screening may be suppressed ... More

Tunneling conductance in half-metal/conical magnet/superconductor junctions in the adiabatic and non-adiabatic regime: self-consistent calculationsJul 20 2015The tunneling conductance in the half-metal/conical magnet/superconductor (HM/CM/SC) is investigated by the use of the combined Blonder-Tinkham-Klapwijk (BTK) formalism and the Bogoliubov-de Gennes (BdG) equations. We show that the conductance calculated ... More

Giant superconducting proximity effect on spintronic anisotropyNov 30 2018We investigate theoretically the interplay of proximity effects due to the presence of a superconductor and normal ferromagnetic leads on the formation of the spintronic quadrupolar exchange field in a large-spin molecule. We show that the spintronic ... More

Scalar mesons interactions effects on the symmetry energy behaviorSep 10 2018The symmetry energy behavior is analyzed within the framework of standard Relativistic Mean Field model including the scalar mesons interactions. It is shown that this type of coupling allows the symmetry energy slope to be in agreement with the recent ... More

Interactions of benzene, naphthalene, and azulene with alkali-metal and alkaline-earth-metal atoms for ultracold studiesMar 04 2019We consider collisional studies of polyatomic aromatic hydrocarbon molecules immersed into ultracold atomic gases and investigate intermolecular interactions of exemplary benzene, naphthalene, and azulene with alkali-metal (Li, Na, K, Rb, Cs) and alkaline-earth-metal ... More

Spin filter effect at room temperature in GaN/GaMnN ferromagnetic resonant tunneling diodeJan 28 2013We have investigated the spin current polarization without the external magnetic field in the resonant tunneling diode with the emitter and quantum well layers made from the ferromagnetic GaMnN. For this purpose we have applied the self-consistent Wigner-Poisson ... More

Spin transistor operation driven by the Rashba spin-orbit coupling in the gated nanowireNov 27 2013The theoretical description has been proposed for the operation of the spin transistor in the gate-controlled InAs nanowire. The calculated current-voltage characteristics show that the current flowing from the source (spin injector) to the drain (spin ... More

Extended Hubbard model with renormalized Wannier wave functions in the correlated state III: Statistically consistent Gutzwiller approximation and the metallization of atomic solid hydrogenFeb 14 2013Jul 03 2014We extend our previous approach (Eur. Phys. J. B, \textbf{74}, 63(2010)) to modeling correlated electronic states and the metal-insulator transition by applying the so-called \emph{statistically consistent Gutzwiller approximation} (SGA) to carry out ... More

All-electrical manipulation of electron spin by the spin-orbit interaction in a semiconductor nanotube: analytical resultsMay 29 2013Dec 05 2013A possibility of controlled manipulation of electron spin states has been investigated for a cylindrical two-dimensional electron gas confined in a semiconductor nanotube/cylindrical nanowire with the Rashba spin-orbit interaction. We present analytical ... More

Antiferromagnetism of almost localized fermions: Evolution from Slater-type to Mott-Hubbard gapJan 21 2003Oct 28 2003We supplement (and critically overview) the existing extensive analysis of antiferromagnetic solution for the Hubbard model with a detailed discussion of two specific features, namely (i) the evolution of the magnetic (Slater) gap (here renormalized by ... More

Quantifying ContextualitySep 17 2012Apr 11 2013Contextuality is central to both the foundations of quantum theory and to the novel information processing tasks. Although it was recognized before Bell's nonlocality, despite some recent proposals, it still faces a fundamental problem: how to quantify ... More

How fast increasing powers of a continuous random variable converge to Benford's lawJul 22 2013It is known that increasing powers of a continuous random variable converge in distribution to Benford's law as the exponent approaches infinity. The rate of convergence has been estimated using Fourier analysis, but we present an elementary method, which ... More

Random Projection in Deep Neural NetworksDec 22 2018This work investigates the ways in which deep learning methods can benefit from random projection (RP), a classic linear dimensionality reduction method. We focus on two areas where, as we have found, employing RP techniques can improve deep models: training ... More

Application of a numerical renormalization group procedure to an elementary anharmonic oscillatorOct 05 2012The canonical quantum Hamiltonian eigenvalue problem for an anharmonic oscillator with a Lagrangian L = \dot{\phi}^2/2 - m^2 \phi^2/2 - g m^3 \phi^4 is numerically solved in two ways. One of the ways uses a plain cutoff on the number of basis states and ... More

Notes on scale-invariance and base-invariance for Benford's LawJul 13 2013It is known that if X is uniformly distributed modulo 1 and Y is an arbitrary random variable independent of X then Y+X is also uniformly distributed modulo 1. We prove a converse for any continuous random variable Y (or a reasonable approximation to ... More

Symmetry-Breaking Topological Insulators in the $\mathbb{Z}_2$ Bose-Hubbard ModelNov 20 2018Dec 03 2018In this work, we study a one-dimensional model of interacting bosons coupled to a dynamical $\mathbb{Z}_2$ field, the $\mathbb{Z}_2$ Bose-Hubbard model, and analyze the interplay between spontaneous symmetry breaking and topological symmetry protection. ... More

Exact solution of equations for proton localization in neutron star matterJun 29 2015The rigorous treatment of proton localization phenomenon in asymmetric nuclear matter is presented. The solution of proton wave function and neutron background distribution is found by the use of the extended Thomas-Fermi approach. The minimum of energy ... More

A simple model of spontaneous emissionJan 23 2012Mar 31 2012We present a very simple model of a spontaneous emission from a two-level atom, interacting with a field of a finite number of states. Such a process is often said to occur because of the large number of equally-probable states of environment. We show ... More

Which connected spaces have a quotient homeomorphic to an arcOct 24 2014We announce and examine the conjecture that each infinite connected normal Hausdorff space has a quotient homeomorphic to the unit interval, shown to be true with the additional assumption of compactness or local connectedness. Some connected subsets ... More

Spatiotemporal chaos: the microscopic perspectiveJan 10 2012Extended nonequilibrium systems can be studied in the framework of field theory or from dynamical systems perspective. Here we report numerical evidence that the sum of a well-defined number of instantaneous Lyapunov exponents for the complex Ginzburg-Landau ... More

Influence of the interactions of scalar mesons on the behavior of the symmetry energySep 10 2018Mar 22 2019Symmetry energy behavior of scalar mesons interactions is analyzed within the framework of the standard relativistic mean field model. Whereas the presence of the $\delta$ meson itself makes the symmetry energy stiffer, the crossing term $\delta\textrm{-}\sigma$ ... More

Connected economically metrizable spacesJan 02 2009Nov 07 2009A topological space is nonseparably connected if it is connected but all of its connected separable subspaces are singletons. We show that each connected sequential topological space X is the image of a nonseparably connected complete metric space Eco(X) ... More

Dimension of interaction dynamicsFeb 17 2000May 22 2000A method allowing to distinguish interacting from non-interacting systems based on available time series is proposed and investigated. Some facts concerning generalized Renyi dimensions that form the basis of our method are proved. We show that one can ... More

LOSSGRAD: automatic learning rate in gradient descentFeb 20 2019In this paper, we propose a simple, fast and easy to implement algorithm LOSSGRAD (locally optimal step-size in gradient descent), which automatically modifies the step-size in gradient descent during neural networks training. Given a function $f$, a ... More

Symmetry of Birkhoff-James orthogonality of operators defined between infinite dimensional Banach spacesJul 30 2018We study left symmetric bounded linear operators in the sense of Birkhoff-James orthogonality defined between infinite dimensional Banach spaces. We prove that a bounded linear operator defined between two strictly convex Banach spaces is left symmetric ... More

Lieb-Wu Solution, Gutzwiller-Wave-Function, and Gutzwiller-Ansatz Approximation, with Adjustable Single-Particle Wave Function for the Hubbard ChainJun 09 2007The optimized single-particle wave functions contained in the parameters of the Hubbard model (t and U) were determined for an infinite atomic chain. In effect, the electronic properties of the chain as a function of interatomic distance R were obtained ... More

Fulde-Ferrell state induced purely by the orbital effect in a superconducting nanowireFeb 17 2015May 11 2015We demonstrate that the Fulde-Ferrell (FF) phase can be induced uniquely by the orbital effect in a cylindrical metallic nanowire. In the external magnetic field the two-fold degeneracy with respect to the orbital quantum number $m$ is lifted what leads ... More

Approximately angle preserving mappingsNov 10 2017Oct 31 2018In this paper, we present some characterizations of linear mappings, which preserve vectors at a specific angle. We introduce the concept of $(\varepsilon, c)$-angle preserving mappings for $|c|<1$ and $0\leq \varepsilon < 1 + |c|$. In addition, we define ... More

Nonseparably connected complete metric spacesMar 27 2009Nov 05 2009A topological space is nonseparably connected if it is connected but all of its connected separable subspaces are singletons. We show that each connected first countable space is the image of a nonseparably connected complete metric space under a continuous ... More

A Mock Data Challenge for the Einstein Gravitational-Wave TelescopeJan 17 2012Aug 07 2012Einstein Telescope (ET) is conceived to be a third generation gravitational-wave observatory. Its amplitude sensitivity would be a factor ten better than advanced LIGO and Virgo and it could also extend the low-frequency sensitivity down to 1--3 Hz, compared ... More

Extended Hubbard model with renormalized Wannier wave functions in the correlated state: beyond the parametrized modelsJul 15 2008The method used earlier for analysis of correlated nanoscopic systems is extended to infinite (periodic) s-band like systems described by the Hubbard model and its extensions. The optimized single-particle wave functions contained in the parameters of ... More

Connected, not separably connected complete metric spacesMar 27 2009In a separably connected space any two points are contained in a separable connected subset. We show a mechanism that takes a connected bounded metric space and produces a complete connected metric space whose separablewise components form a quotient ... More

ZnO, ZnMnO and ZnCoO films grown by atomic layer depositionAug 09 2013Despite many efforts the origin of a ferromagnetic (FM) response in ZnMnO and ZnCoO is still not clear. Magnetic investigations of our samples, not discussed here, show that the room temperature FM response is observed only in alloys with a non-uniform ... More

Transition from positive to negative magnetoresistance induced by a constriction in semiconductor nanowireJul 24 2015Mar 09 2016We have studied the magnetotransport through an indium antimonide (InSb) nanowire grown in [111] direction, with a geometric constriction and in an external magnetic field applied along the nanowire axis. We have found that the magnetoresistance is negative ... More

Critical scaling of the renormalized single-particle wave function near the Mott-Hubbard transitionFeb 25 2009We present a quantum critical behavior of the renormalized single-particle Wannier function, calculated in the Gutzwiller correlated state near the insulator-metal transition (IMT) for cubic lattices. The wave function size and its maximum, as well as ... More

Nonsignaling quantum random access code boxesMar 05 2014Nov 11 2015A well known cryptographic primitive is so called random access code. Namely, Alice is to send to Bob one of two bits, so that Bob has the choice which bit he wants to learn about. However at any time Alice should not learn Bob's choice, and Bob should ... More

Extended Hubbard model with renormalized Wannier wave functions in the correlated state II: Quantum critical scaling of the wave function near the Mott-Hubbard transitionDec 04 2009Dec 09 2009We present a model example of a quantum critical behavior of renormalized single-particle Wannier function composed of Slater s-orbitals and represented in an adjustable Gaussian STO-7G basis, which is calculated for cubic lattices in the Gutzwiller correlated ... More

Testing Implementation of FAMTAR: Adaptive Multipath RoutingAug 09 2018Mar 02 2019Flow-Aware Multi-Topology Adaptive Routing (FAMTAR) is a new approach to multipath and adaptive routing in IP networks which enables automatic use of alternative paths when the primary one becomes congested. It provides more efficient network resource ... More

Creation of superposition of unknown quantum statesMay 19 2015Feb 18 2016The superposition principle is one of the landmarks of quantum mechanics. The importance of quantum superpositions provokes questions about the limitations that quantum mechanics itself imposes on the possibility of their generation. In this work we systematically ... More

SuperB Technical Design ReportJun 24 2013In this Technical Design Report (TDR) we describe the SuperB detector that was to be installed on the SuperB e+e- high luminosity collider. The SuperB asymmetric collider, which was to be constructed on the Tor Vergata campus near the INFN Frascati National ... More

Renormalized Energies of Superfluorescent Bursts from an Electron-Hole Magneto-plasma with High Gain in InGaAs Quantum WellsSep 16 2010May 28 2012We study light emission properties of a population-inverted 2D electron-hole plasma in a quantizing magnetic field. We observe a series of superfluorescent bursts, discrete both in time and energy, corresponding to the cooperative recombination of electron-hole ... More

Charge multiplets and masses for E(11)May 28 2008Oct 30 2008The particle, string and membrane charge multiplets are derived in detail from the decomposition of the l1 (charge) representation of E(11) in three, four, five, six, seven and eight spacetime dimensions. A tension formula relating weights of the l1 (charge) ... More

The coincidence problem in linear dark energy modelsNov 01 2004Nov 12 2004We show that a solution to the the coincidence problem can be found in the context of a generic class of dark energy models with a scalar field, $\phi$, with a linear effective potential $V(\phi)$. We determine the fraction, $f$, of the total lifetime ... More

Could the dynamics of the Universe be influenced by what is going on inside black holes?Nov 01 2014Mar 26 2015We investigate the potential impact of mass inflation inside black holes on the dynamics of the Universe, considering a recent reformulation of general relativity, proposed in [1], which prevents the vacuum energy from acting as a gravitational source. ... More

Impact of the matter density uncertainty on the dark energy reconstructionMar 04 2009Jun 24 2009In this paper we study the impact of the fractional matter density uncertainty in the reconstruction of the equation of state of dark energy. We consider both standard reconstruction methods, based on the dynamical effect that dark energy has on the expansion ... More

Mass inflation in Eddington-inspired Born-Infeld black holes: analytical scaling solutionsFeb 26 2016We study the inner dynamics of accreting Eddington-inspired Born-Infeld black holes using the homogeneous approximation and taking charge as a surrogate for angular momentum. We show that there is a minimum of the accretion rate below which mass inflation ... More

Sensitivity of the Superconducting Transition Temperature to Changes in the Spin-Fluctuation Spectral WeightNov 20 2002In the simplest model of magnetic pairing, the transition temperature to the superconducting state depends on the dynamical susceptibility $\chi({\bf q},\omega)$. We discuss how $T_c$ is affected by different momentum and frequency parts of $\chi({\bf ... More

Description of Stellar Acoustic Modes Using the Local Wave ConceptJun 26 2006An understanding of stellar acoustic oscillations is attempted, using the local wave concept in semi-analytical calculations. The local homogeneity approximation allows to obtain simplified equations that can nevertheless describe the wave behavior down ... More

ad-nilpotent ideals of a Borel subalgebra IIIMar 05 2003Sep 30 2003This paper is devoted to a detailed study of certain remarkable posets which form a natural partition of all abelian ideals of a Borel subalgebra. Our main result is a nice uniform formula for the dimension of maximal ideals in these posets. We also obtain ... More

Resonance statistics in a microwave cavity with a thin antennaFeb 07 1997We propose a model for scattering in a flat resonator with a thin antenna. The results are applied to rectangular microwave cavities. We compute the resonance spacing distribution and show that it agrees well with experimental data provided the antenna ... More

ROSAT Observations of Compact Groups of GalaxiesDec 11 1994Dec 15 1994A search for X-ray emission from compact groups revealed detection from 8 out of the 12 HCG images extracted from the ROSAT public archive. For two of them the X-ray emission originates from galaxies in the group. On the contrary, three groups show an ... More

Gribov Copies in Lattice QCDJun 15 1993We have performed an exhaustive search for Gribov copies on the lattice and their possible dependence from finite temperature effects. We show that, for each value of lattice size, Gribov copies are dense in configuration space at low temperature but ... More

An analysis of the zero energy states in grapheneDec 09 2015Using the concept of complex non PT symmetric potential we study creation of zero energy states in graphene by a scalar potential. The admissible range of the potential parameter values for which such states exist has been examined. The situation with ... More

A faithful tensor space representation for the blob algebraDec 19 2003We show that a certain tensor space representation of the blob algebra (an affine Hecke algebra quotient) is faithful.

Point interaction in dimension two and three as models of small scatterersJul 03 1996In addition to the conventional renormalized--coupling--constant picture, point interactions in dimension two and three are shown to model within a suitable energy range scattering on localized potentials, both attractive and repulsive.

Enhancement of Tc by Sr substitution for Ba in Hg-2212 superconductorApr 16 2003Sep 23 2003The Ba substitution by Sr has been studied in two Hg-2212 series: Hg2(Ba(1-y)Sr(y))2YCu2O8-d and Hg2(Ba(1-y)Sr(y))2(Y0.80Ca0.20)Cu2O8-d. In both series a Tc enhancement of about 40 K is observed when Sr substitutes Ba from y = 0 to y = 1.0. The y = 0 ... More

Characteristic Relations for Quantum MatricesFeb 20 1995Feb 24 1995General algebraic properties of the algebras of vector fields over quantum linear groups $GL_q(N)$ and $SL_q(N)$ are studied. These quantum algebras appears to be quite similar to the classical matrix algebra. In particular, quantum analogues of the characteristic ... More

A new approach to the connection problem for local solutions to the general Heun equationJun 28 2016Jul 03 2016We present new solution of the the connection problem for local solutions to the general Heun equation. Our approach is based on the symmetric form of the Heun's differential equation \cite{Fiziev14,Fiziev16} with four different regular singular points ... More

Inner Structure of Black Holes in Eddington-inspired Born-Infeld gravity: the role of mass inflationNov 10 2015We investigate the interior dynamics of accreting black holes in Eddington-inspired Born-Infeld gravity using the homogeneous approximation and taking charge as a surrogate for angular momentum, showing that accretion can have an enormous impact on their ... More

Primordial black hole constraints on non-gaussian inflation modelsOct 03 2005We determine the abundance of primordial black holes (PBHs) formed in the context of non-gaussian models with primordial density perturbations. We consider models with a renormalized $\chi^2$ probability distribution function parametrized by the number, ... More

Eddington-inspired Born-Infeld gravity: nuclear physics constraints and the validity of the continuous fluid approximationJul 19 2012In this paper we investigate the classical non-relativistic limit of the Eddington-inspired Born-Infeld theory of gravity. We show that strong bounds on the value of the only additional parameter of the theory \kappa, with respect to general relativity, ... More

Efficiency of the coherent biexciton admixture mechanism for multiple exciton generation in InAs nanocrystalsJun 23 2015We study the coherent mixing between two-particle (single exciton) and four-particle (biexciton) states of a semiconductor nanocrystal resulting from the coulomb coupling between states with different numbers of electron-hole pairs. Using a simple model ... More

Thermodynamic consistency for nuclear matter calculationsFeb 10 2001We investigate the relation between the binding energy and the Fermi energy and between different expressions for the pressure in cold nuclear matter. For a self-consistent calculation based on a $\Phi$ derivable $T-$matrix approximation with off-shell ... More

Laser probing of atomic Cooper pairsJan 24 2000We consider a gas of attractively interacting cold Fermionic atoms which are manipulated by laser light. The laser induces a transition from an internal state with large negative scattering length to one with almost no interactions. The process can be ... More

On the electron-energy loss spectra and plasmon resonance in cupratesMar 18 1999The consequences of the non-Drude charge response in the normal state of cuprates and the effect of the layered structure on electron-energy loss spectra are investigated, both for experiments in the transmission and the reflection mode. It is shown that ... More

Phase boundary and finite temperature crossovers of the quantum Ising model in two dimensionsJun 07 2009We revisit the two-dimensional quantum Ising model by computing renormalization group flows close to its quantum critical point. The low but finite temperature regime in the vicinity of the quantum critical point is squashed between two distinct non-Gaussian ... More

The contraction of $SU_μ(2)$ and its differential structures to $E_κ(2)$Jul 02 1998The deformed double covering of E(2) group, denoted by $\tilde{E}_\kappa(2)$, is obtained by contraction from the $SU_\mu(2)$. The contraction procedure is then used for producing a new examples of differential calculi: 3D-left covariant calculus on both ... More

Depurification by Lorentz boostsOct 23 2003We consider a particle of half-integer spin which is nonrelativistic in the rest frame. Assuming the particle is completely polarized along third axis we calculate the Bloch vector as seen by a moving observer. The result for its length is expressed in ... More

Deformed Galilei symmetryNov 24 1998A particular deformation of central extended Galilei group is considered. It is shown that the deformation influences the rules of constructing the composed systems while one particle states remain basically unaffected. In particular the mass appeared ... More

Three-Dimensional Two-Pion Emission Source at SPS: Extraction of Source Breakup Time and Emission DurationJul 30 2008A model-independent, three-dimensional source function for pion pairs has been extracted from Pb+Pb collisions at $\sqrt s_{NN}=17.3$ AGeV. The extracted sourc e exhibits long-range non-Gaussian tails in the directions of the pion-pair net transverse-momentum ... More

Probing gravity at sub-femtometer scales through the pressure distribution inside the protonFeb 04 2019Recently, a measurement of the pressure distribution experienced by the quarks inside the proton has found a strong repulsive (positive) pressure at distances up to 0.6 femtometers from its center and a (negative) confining pressure at larger distances. ... More

Jagged partitions and lattice pathsMay 19 2006A lattice-path description of $K$-restricted jagged partitions is presented. The corresponding lattice paths can have peaks only at even $x$ coordinate and the maximal value of the height cannot be larger than $K-1$. Its weight is twice that of the corresponding ... More

Parafermionic derivation of Andrews-type multiple sumsMay 11 2005A multi-parafermion basis of states for the Z_k parafermionic models is derived. Its generating function is constructed by elementary steps. It corresponds to the Andrews multiple-sum which enumerates partitions whose parts separated by the distance k-1 ... More

Parafermionic character formulaeJun 29 2000We study various aspects of parafermionic theories such as the precise field content, a description of a basis of states (that is, the counting of independent states in a freely generated highest-weight module) and the explicit expression of the parafermionic ... More

New path description for the M(k+1,2k+3) models and the dual Z_k graded parafermionsSep 11 2007May 28 2008We present a new path description for the states of the non-unitary M(k+1,2k+3) models. This description differs from the one induced by the Forrester-Baxter solution, in terms of configuration sums, of their restricted-solid-on-solid model. The proposed ... More

A quasi-particle description of the M(3,p) modelsJun 09 2005Oct 07 2005The M(3,p) minimal models are reconsidered from the point of view of the extended algebra whose generators are the energy-momentum tensor and the primary field \phi_{2,1} of dimension $(p-2)/4$. Within this framework, we provide a quasi-particle description ... More

Pascal's triangle and word bases for blob algebra idealsJun 12 2007We give an elementary proof of isomorphism of the blob (diagram) algebra and the corresponding extended Temperley-Lieb algebra (defined by presentation).

Computing higher rank primitive root densitiesMar 20 2012Dec 29 2013We extend the character sum method for the computation of densities in Artin primitive root problems developed by H. W. Lenstra and the authors to the situation of radical extensions of arbitrary rank. Our algebraic set-up identifies the key parameters ... More

Eddington-inspired Born-Infeld gravity: astrophysical and cosmological constraintsJan 12 2012In this letter we compute stringent astrophysical and cosmological constraints on a recently proposed Eddington-inspired Born-Infeld theory of gravity. We find, using a generalized version of the Zel'dovich approximation, that in this theory a pressureless ... More

Unified approach to growth and aging in biological, technical and biotechnical systemsJul 16 2012Complex systems, in many different scientific sectors, show coarse-grain properties with simple growth laws with respect to fundamental microscopic algorithms. We propose a classification scheme of growth laws which includes human aging, tumor (and/or ... More

Lorentz-Invariant Interpretation of Noncommutative Space-Time - global versionAug 12 2004Aug 24 2004The global version of the quantum symmetry defined by Chaichian et al (hep-th/0408069) is constructed.

Stability of vector bundles from F-theoryApr 15 1999We use a recently proposed formulation of stable holomorphic vector bundles $V$ on elliptically fibered Calabi--Yau n-fold $Z_n$ in terms of toric geometry to describe stability conditions on $V$. Using the toric map $f: W_{n+1} \to (V,Z_n)$ that identifies ... More

H_αLuminosity and Star Formation of Galaxies in HCGsApr 07 1999We have obtained $H_{\alpha}$ fluxes and luminosities for a sample of 95 accordant galaxies from observations of 31 Hickson Compact Groups (HCGs) in the North hemisphere. This sample is the largest $H_{\alpha}$ selected catalogue of galaxies having $H_{\alpha}$ ... More

On the geometry of the characteristic class of a star product on a symplectic manifoldDec 28 2001The characteristic class of a star product on a symplectic manifold appears as the class of a deformation of a given symplectic connection, as described by Fedosov. In contrast, one usually thinks of the characteristic class of a star product as the class ... More

Nonlocal operator basis from the path representation of the M(k+1,k+2) and the M(k+1,2k+3) minimal modelsFeb 28 2008Aug 12 2008We reinterpret a path describing a state in an irreducible module of the unitary minimal model M(k+1,k+2) in terms of a string of charged operators acting on the module's ground-state path. Each such operator acts non-locally on a path. The path characteristics ... More

Paths for Z_k parafermionic modelsMar 01 2007Jul 03 2007We present a simple bijection between restricted (Bressoud) lattice paths and RSOS paths in regime II. Both types of paths describe states in Z_k parafermionic irreducible modules. The bijection implies a direct correspondence between a RSOS path and ... More

Embedding of bases: from the M(2,2k+1) to the M(3,4k+2-delta) modelsNov 03 2005Nov 09 2005A new quasi-particle basis of states is presented for all the irreducible modules of the M(3,p) models. It is formulated in terms of a combination of Virasoro modes and the modes of the field phi_{2,1}. This leads to a fermionic expression for particular ... More

Single-channel correlators and residue calculusMay 31 2001Aug 04 2001Some simple (namely, single-channel) correlation functions involving an arbitrary number of fields are computed by means of a direct application of the residue calculus, through partial fraction expansions. Examples are presented in minimal models and ... More

The study on penetration depth of anisotropic two-band s-wave superconductors by Ginzburg-Landau approachMar 29 2019The penetration depth of anisotropic two-band s-wave superconductors have been studied by Ginzburg-Landau approach. The anisotropic spherical Fermi surfaces and order parameters with the spherical ellipse or pancake Fermi shape are used for derive penetration ... More

Vacuum energy sequestering and cosmic dynamicsOct 16 2014We explicitly compute the dynamics of closed homogeneous and isotropic universes permeated by a single perfect fluid with a constant equation of state parameter $w$ in the context of a recent reformulation of general relativity, proposed in [1], which ... More

On the cosmological evolution of alpha and mu and the dynamics of dark energyApr 22 2008We study the cosmological evolution of the fine structure constant, $\alpha$, and the proton-to-electron mass ratio, $\mu=m_p/m_e$, in the context of a generic class of models where the gauge kinetic function is a linear function of a quintessence-type ... More