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Competition between shocks and entropy floor : unifying groups and clusters of galaxiesJun 26 2001Semi-analytic models of X-ray clusters and groups of galaxies, relying on the idea that there was a non-gravitational energy injection in these systems, are able to reproduce many observed correlations, in particular the L_X-T relation and the ``central ... More

The Elfe System - Verifying mathematical proofs of undergraduate studentsJan 31 2018Elfe is an interactive system for teaching basic proof methods in discrete mathematics. The user inputs a mathematical text written in fair English which is converted to a special data-structure of first-order formulas. Certain proof obligations implied ... More

Extragalactic Foreground Contamination in Temperature-based CMB Lens ReconstructionOct 28 2013We discuss the effect of unresolved point source contamination on estimates of the CMB lensing potential, from components such as the thermal Sunyaev-Zel'dovich effect, radio point sources, and the Cosmic Infrared Background. We classify the possible ... More

CMB Power Spectrum Estimation via Hierarchical DecompositionApr 27 2001We have developed a fast, accurate and generally applicable method for inferring the power spectrum and its uncertainties from maps of the cosmic microwave background (CMB) in the presence of inhomogeneous and correlated noise. For maps with 10 to 100 ... More

Probing CMB Non-Gaussianity Using Local CurvatureFeb 06 2002Feb 06 2002It is possible to classify pixels of a smoothed cosmic microwave background (CMB) fluctuation map according to their local curvature in ``hill'', ``lake'' and ``saddle'' regions. In the Gaussian case, fractional areas occupied by pixels of each kind can ... More

Elliptical Beams in CMB Temperature and Polarization Anisotropy Experiments: An Analytic ApproachJul 18 2001Dec 04 2001We present an analytic approach to the estimation of beam asymmetry effects in CMB temperature and linear polarization anisotropy experiments. We derive via perturbative expansions simple and accurate results for the case of an elliptical Gaussian window. ... More

Sharpening the Precision of the Sunyaev-Zel'dovich Power SpectrumMar 31 2009Using both halo model calculations and a large sample of simulated SZ maps, we demonstrate that high-mass clusters add significant non-Gaussian variance to measurements of the SZ power spectrum amplitude. The difficulty in correctly accounting theoretically ... More

Cluster physics from joint weak gravitational lensing and Sunyaev-Zel'dovich dataFeb 09 2001We present a self consistent method to perfom a joint analysis of Sunyaev-Zel'dovich and weak gravitational lensing observation of galaxy clusters. The spatial distribution of the cluster main constituents is described by a perturbative approach. Assuming ... More

Joint cosmological parameters forecast from CFHTLS-cosmic shear and CMB dataApr 15 2004We present a prospective analysis of a combined cosmic shear and cosmic microwave background data set, focusing on a Canada France Hawaii Telescope Legacy Survey (CFHTLS) type lensing survey and the current WMAP-1 year and CBI data. We investigate the ... More

Modeling the Radio Background from the First Black Holes at Cosmic Dawn: Implications for the 21 cm Absorption AmplitudeMar 05 2018Sep 27 2018We estimate the 21 cm Radio Background from accretion onto the first intermediate-mass Black Holes between $z\approx 30$ and $z\approx 16$. Combining potentially optimistic, but plausible, scenarios for black hole formation and growth with empirical correlations ... More

Lensing and time-delay contributions to galaxy correlationsNov 26 2013Jun 07 2016Galaxy clustering on very large scales can be probed via the 2-point correlation function in the general case of wide and deep separations, including all the lightcone and relativistic effects. Using our recently developed formalism, we analyze the behavior ... More

Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for CosmologyMar 19 2006Feb 27 2007A simple cosmological model with only six parameters (matter density, Omega_m h^2, baryon density, Omega_b h^2, Hubble Constant, H_0, amplitude of fluctuations, sigma_8, optical depth, tau, and a slope for the scalar perturbation spectrum, n_s) fits not ... More

Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Temperature AnalysisMar 17 2006Feb 27 2007We present new full-sky temperature maps in five frequency bands from 23 to 94 GHz, based on the first three years of the WMAP sky survey. The new maps, which are consistent with the first-year maps and more sensitive, incorporate improvements in data ... More

MAPCUMBA : a fast iterative multi-grid map-making algorithm for CMB experimentsJan 08 2001The data analysis of current Cosmic Microwave Background (CMB) experiments like BOOMERanG or MAXIMA poses severe challenges which already stretch the limits of current (super-) computer capabilities, if brute force methods are used. In this paper we present ... More

The Neutrino Puzzle: Anomalies, Interactions, and Cosmological TensionsFeb 01 2019New physics in the neutrino sector might be necessary to address anomalies between different neutrino oscillation experiments. Intriguingly, it also offers a possible solution to the discrepant cosmological measurements of $H_0$ and $\sigma_8$. We show ... More

Testing Gravity with the CFHTLS-Wide Cosmic Shear Survey and SDSS LRGsDec 10 2007General relativity as one the pillar of modern cosmology has to be thoroughly tested if we want to achieve an accurate cosmology. We present the results from such a test on cosmological scales using cosmic shear and galaxy clustering measurements. We ... More

Probing dark energy perturbations: the dark energy equation of state and speed of sound as measured by WMAPJul 04 2003Jul 17 2003We review the implications of having a non-trivial matter component in the universe and the potential for detecting such a component through the matter power spectrum and ISW effect. We adopt a phenomenological approach and consider the mysterious dark ... More

A compact null set containing a differentiability point of every Lipschitz functionApr 29 2008May 14 2011We prove that in a Euclidean space of dimension at least two, there exists a compact set of Lebesgue measure zero such that any real-valued Lipschitz function defined on the space is differentiable at some point in the set. Such a set is constructed explicitly. ... More

Are Chaplygin gases serious contenders to the dark energy throne?Jan 15 2003Aug 08 2003We study the implications on both background and perturbation evolution of introducing a Chaplygin gas component in the universe's ingredients. We perform likelihood analyses using wide-ranging, SN1a, CMB and large scale structure observations to assess ... More

Probing the Largest Cosmological Scales with the CMB-Velocity CorrelationJan 28 2007Jan 14 2008Cross-correlation between the CMB and large-scale structure is a powerful probe of dark-energy and gravity on the largest physical scales. We introduce a novel estimator, the CMB-velocity correlation, that has most of his power on large scales and that, ... More

A minimal empirical model for the cosmic far-infrared background anisotropiesNov 14 2016Mar 01 2017Cosmic far-infrared background (CFIRB) probes unresolved dusty star-forming galaxies across cosmic time and is complementary to ultraviolet and optical observations of galaxy evolution. In this work, we interpret the observed CFIRB anisotropies using ... More

CSMA/CA Bottleneck Remediation in Saturation Mode with New Backoff StrategyJan 07 2015Many modern wireless networks integrate carrier sense mul-tiple access/collision avoidance (CSMA/CA) with exponential backoff as medium access control (MAC) technique. In order to decrease the MAC overhead and the collision probability, we propose in ... More

A minimal empirical model for the cosmic far-infrared background anisotropiesNov 14 2016Cosmic far-infrared background (CFIRB) probes unresolved dusty star-forming galaxies across cosmic time and is complementary to ultraviolet/optical probes of galaxy evolution. In this work, we interpret the observed CFIRB anisotropies using an empirical ... More

Designing an Inflation Galaxy Survey: how to measure $σ(f_{\rm NL}) \sim 1$ using scale-dependent galaxy biasDec 11 2014The most promising method for measuring primordial non-Gaussianity in the post-Planck era is to detect large-scale, scale-dependent galaxy bias. Considering the information in the galaxy power spectrum, we here derive the properties of a galaxy clustering ... More

Optimizing future experiments of cosmic far-infrared background: a principal component approachDec 07 2016Apr 16 2017The anisotropies of cosmic far-infrared background (CFIRB) probe the star formation rate (SFR) of dusty star-forming galaxies as a function of dark matter halo mass and redshift. We explore how future CFIRB experiments can optimally improve the SFR constraints ... More

A step towards testing general relativity using weak gravitational lensing and redshift surveysDec 01 2008Aug 24 2009Using the linear theory of perturbations in General Relativity, we express a set of consistency relations that can be observationally tested with current and future large scale structure surveys. We then outline a stringent model-independent program to ... More

Optimizing future experiments of cosmic far-infrared background: a principal component approachDec 07 2016The anisotropies of cosmic far-infrared background (CFIRB) probe the star-formation rate (SFR) of dusty star-forming galaxies as a function of dark matter halo mass and redshift. We explore how future CFIRB experiments can optimally improve the SFR constraints ... More

Comparison of map-making algorithms for CMB experimentsJan 24 2005Sep 20 2005We have compared the cosmic microwave background (CMB) temperature anisotropy maps made from one-year time ordered data (TOD) streams that simulated observations of the originally planned 100 GHz Planck Low Frequency Instrument (LFI). The maps were made ... More

Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Foreground PolarizationApr 30 2007We present a full-sky model of polarized Galactic microwave emission based on three years of observations by the Wilkinson Microwave Anisotropy Probe (WMAP) at frequencies from 23 to 94 GHz. The model compares maps of the Stokes Q and U components from ... More

Where stars form and live at high redshift: clues from the infraredJan 02 2012Apr 02 2012The relation between dark matter halos and the loci of star formation at high redshift is a pressing question in contemporary cosmology. Matching the abundance of halos to the abundance of infrared (IR) galaxies, we explicit the link between dark matter ... More

Using Cross-Correlations to Calibrate Lensing Source Redshift Distributions: Improving Cosmological Constraints from Upcoming Weak Lensing SurveysJun 03 2013Jul 19 2013Cross-correlations between the galaxy number density in a lensing source sample and that in an overlapping spectroscopic sample can in principle be used to calibrate the lensing source redshift distribution. In this paper, we study in detail to what extent ... More

Dissecting the high-z interstellar medium through intensity mapping cross-correlationsAug 01 2016We explore the detection, with upcoming spectroscopic surveys, of three-dimensional power spectra of emission line fluctuations produced in different phases of the Interstellar Medium (ISM) by ionized carbon, ionized nitrogen and neutral oxygen at redshift ... More

Compensated Isocurvature Perturbations and the Cosmic Microwave BackgroundJul 25 2011Jan 06 2012Measurements of cosmic microwave background (CMB) anisotropies constrain isocurvature fluctuations between photons and non-relativistic particles to be sub-dominant to adiabatic fluctuations. Perturbations in the relative number densities of baryons and ... More

The Synergy between Weak Lensing and Galaxy Redshift SurveysAug 28 2013Aug 29 2013We study the complementarity of weak lensing (WL) and spectroscopic galaxy clustering (GC) surveys, by forecasting dark energy and modified gravity constraints for three upcoming survey combinations: SuMIRe (Subaru Measurement of Images and Redshifts, ... More

Interpreting the cosmic far-infrared background anisotropies using a gas regulator modelJul 08 2016Cosmic far-infrared background (CFIRB) is a powerful probe of the history of star formation rate and the connection between baryons and dark matter. In this work, we explore to which extent the CFIRB anisotropies can be reproduced by a simple physical ... More

Do baryons trace dark matter in the early universe?Jul 08 2011Jan 06 2012Baryon-density perturbations of large amplitude may exist if they are compensated by dark-matter perturbations so that the total density remains unchanged. Big-bang nucleosynthesis and galaxy clusters allow the amplitudes of these compensated isocurvature ... More

The CMB Quadrupole in a Polarized LightSep 10 2003May 12 2004The low quadrupole of the cosmic microwave background (CMB), measured by COBE and confirmed by WMAP, has generated much discussion recently. We point out that the well-known correlation between temperature and polarization anisotropies of the CMB further ... More

The Non-Linear Fisher Information content of cosmic shear surveysMay 04 2009We quantify the Fisher information content of the cosmic shear survey two-point function as a function of noise and resolution. The two point information of dark matter saturates at the trans-linear scale. We investigate the impact of non-linear non-Gaussianity ... More

Gravitational Potential Reconstruction from Peculiar Velocity and Weak Lensing MeasurementsJul 18 2002We present an analytic method for rapidly forecasting the accuracy of gravitational potential reconstruction possible from measurement of radial peculiar velocities of every galaxy cluster with M > M_th in solid angle \theta^2 and over redshift range ... More

Is There Scale-Dependent Bias in Single-Field Inflation?Apr 22 2015Scale-dependent halo bias due to local primordial non-Gaussianity provides a strong test of single-field inflation. While it is universally understood that single-field inflation predicts negligible scale-dependent bias compared to current observational ... More

Skeleton as a probe of the cosmic web: the 2D caseJun 30 2003We discuss the skeleton as a probe of the filamentary structures of a 2D random field. It can be defined for a smooth field as the ensemble of pairs of field lines departing from saddle points, initially aligned with the major axis of local curvature ... More

Dark Energy from Large-Scale Structure Lensing InformationMay 04 2009Wide area Large-Scale Structure (LSS) surveys are planning to map a substantial fraction of the visible universe to quantify dark energy through Baryon Acoustic Oscillations (BAO). At increasing redshift, for example that probed by proposed 21-cm intensity ... More

Supercritical instability of Dirac electrons in the field of two oppositely charged nucleiSep 29 2016The Dirac equation for an electron in a finite dipole potential has been studied within the method of linear combination of atomic orbitals (LCAO). The Coulomb potential of the nuclei that compose a dipole is regularized, by considering the finite nuclear ... More

Quantum singularities in (2+1) dimensional matter coupled black hole spacetimesApr 15 2010Sep 16 2010Quantum singularities considered in the 3D BTZ spacetime by Pitelli and Letelier (Phys. Rev. D77: 124030, 2008) is extended to charged BTZ and 3D Einstein-Maxwell-dilaton gravity spacetimes. The occurence of naked singularities in the Einstein-Maxwell ... More

On Groups with a Supercomplemented SubgroupOct 05 2007Groups, in which every subgroup containing some fixed primary cyclic subgroup has a complement, are investigated.

Very weak lensing in the CFHTLS Wide: Cosmology from cosmic shear in the linear regimeDec 06 2007We present an exploration of weak lensing by large-scale structure in the linear regime, using the third-year (T0003) CFHTLS Wide data release. Our results place tight constraints on the scaling of the amplitude of the matter power spectrum sigma_8 with ... More

Modeling the evolution of infrared galaxies : clustering of galaxies in the Cosmic Infrared BackgroundOct 03 2011Star-forming galaxies are a highly biased tracer of the underlying dark matter density field. Their clustering can be studied through the cosmic infrared background anisotropies. These anisotropies have been measured from 100 \mum to 2 mm in the last ... More

Cosmological Measurements with General Relativistic Galaxy CorrelationsMay 22 2015We investigate the cosmological dependence and the constraining power of large-scale galaxy correlations, including all redshift-distortions, wide-angle, lensing and gravitational potential effects on linear scales. We analyze the cosmological information ... More

Single-Field Inflation and the Local Ansatz: Distinguishability and ConsistencyOct 03 2016The single-field consistency conditions and the local ansatz have played separate but important roles in characterizing the non-Gaussian signatures of single- and multifield inflation respectively. We explore the precise relationship between these two ... More

Transfer reactions in inverse kinematics, an experimental approach for fission investigationsDec 22 2013Inelastic and multi-nucleon transfer reactions between a $^{238}$U beam, accelerated at 6.14 MeV/u, and a $^{12}$C target were used for the production of neutron-rich, fissioning systems from U to Cm. A Si telescope, devoted to the detection of the target-like ... More

Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Beam Profiles, Data Processing, Radiometer Characterization and Systematic Error LimitsMar 17 2006Feb 27 2007The WMAP satellite has completed 3 years of observations of the cosmic microwave background radiation. The 3-year data products include several sets of full sky maps of the Stokes I, Q and U parameters in 5 frequency bands, spanning 23 to 94 GHz, and ... More

Primordial Gravitational Wave Detectability with Deep Small-Sky CMB ExperimentsAug 09 2011We use Bayesian estimation on direct T-Q-U CMB polarization maps to forecast errors on the tensor-to- scalar power ratio r, and hence on primordial gravitational waves, as a function of sky coverage fsky. This method filters the quadratic pixel-pixel ... More

Baryons do trace dark matter 380,000 years after the big bang: Search for compensated isocurvature perturbations with WMAP 9-year dataJun 18 2013Primordial isocurvature fluctuations between photons and either neutrinos or non-relativistic species such as baryons or dark matter are known to be sub-dominant to adiabatic fluctuations. Perturbations in the relative densities of baryons and dark matter ... More

The Weight of Emptiness: The Gravitational Lensing Signal of Stacked VoidsOct 09 2012Nov 06 2012The upcoming new generation of spectroscopic galaxy redshift surveys will provide large samples of cosmic voids, the distinct, large underdense structures in the universe. Combining these with future galaxy imaging surveys, we study the prospects of probing ... More

Interpreting the cosmic far-infrared background anisotropies using a gas regulator modelJul 08 2016Jan 24 2018Cosmic far-infrared background (CFIRB) is a powerful probe of the history of star formation rate (SFR) and the connection between baryons and dark matter across cosmic time. In this work, we explore to which extent the CFIRB anisotropies can be reproduced ... More

Beyond the Damping Tail: Cross-Correlating the Kinetic Sunyaev-Zel'dovich Effect with Cosmic ShearSep 11 2003Sep 16 2003Secondary anisotropies of the CMB have the potential to reveal intricate details about the history of our universe between the present and recombination epochs. However, because the CMB we observe is the projected sum of a multitude of effects, the interpretation ... More

The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objectsOct 25 2007Mar 27 2008We study the effect of primordial nongaussianity on large-scale structure, focusing upon the most massive virialized objects. Using analytic arguments and N-body simulations, we calculate the mass function and clustering of dark matter halos across a ... More

A practical theorem on using interferometry to measure the global 21-cm signalDec 16 2015Jul 28 2016The sky-averaged, or global, background of redshifted $21$ cm radiation is expected to be a rich source of information on cosmological reheating and reionizaton. However, measuring the signal is technically challenging: one must extract a small, frequency-dependent ... More

Inclusion within Continuous Belief FunctionsJan 27 2015Defining and modeling the relation of inclusion between continuous belief function may be considered as an important operation in order to study their behaviors. Within this paper we will propose and present two forms of inclusion: The strict and the ... More

The Cosmic Reionization History as Revealed by the CMB Doppler--21-cm CorrelationDec 01 2005Apr 11 2006We show that the epoch(s) of reionization when the ionization fraction of the universe is about half can be determined by correlating Cosmic Microwave Background (CMB) temperature maps with 21-cm line maps at degree scales ($l\sim 100$). During reionization ... More

Three Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Polarization AnalysisMar 17 2006Feb 27 2007The Wilkinson Microwave Anisotropy Probe WMAP has mapped the entire sky in five frequency bands between 23 and 94 GHz with polarization sensitive radiometers. We present three-year full-sky maps of the polarization and analyze them for foreground emission ... More

Cross-correlation of cosmic far-infrared background anisotropies with large scale structuresApr 07 2014Sep 24 2014We measure the cross-power spectra between luminous red galaxies (LRGs) from the Sloan Digital Sky Survey (SDSS)-III Data Release Eight (DR8) and cosmic infrared background (CIB) anisotropies from Planck and data from the Improved Reprocessing (IRIS) ... More

PICO: Probe of Inflation and Cosmic OriginsFeb 26 2019Mar 05 2019The Probe of Inflation and Cosmic Origins (PICO) is an imaging polarimeter that will scan the sky for 5 years in 21 frequency bands spread between 21 and 799 GHz. It will produce full-sky surveys of intensity and polarization with a final combined-map ... More

Condensation temperature of interacting Bose gases with and without disorderApr 24 2006The momentum-shell renormalization group (RG) is used to study the condensation of interacting Bose gases without and with disorder. First of all, for the homogeneous disorder-free Bose gas the interaction-induced shifts in the critical temperature and ... More

Migdal's model and holographyJan 23 2007May 29 2007Migdal's model on the spectrum of vector mesons is reassessed. We discuss how its departure from a Pade approximant is closely linked to the issue of quark-hadron duality breakdown. We also show that Migdal's model is not truly a model of large-Nc QCD. ... More

Photospheric processes and magnetic flux tubesSep 01 2007In the first part of these lecture notes, new high-resolution observations of small-scale magnetic flux concentrations are presented and compared to results from new three-dimensional magnetohydrodynamic simulations. Special attention is paid to the physics ... More

Transverse Double-Spin Asymmetries for Dimuon Production in pp CollisionsMay 29 1999Oct 25 1999We calculate the transverse double-spin asymmetry for the production of dimuons in pp collisions as function of the dimuon rapidity and mass to next-to-leading accuracy in the strong coupling. Predictions for BNL-RHIC and HERA-N are made by assuming a ... More

On Witten's global anomaly for higher SU(2) representationsSep 02 2002The spectral flow of the overlap operator is computed numerically along a path connecting two gauge fields which differ by a topologically non-trivial gauge transformation. The calculation is performed for SU(2) in the 3/2 and 5/2 representation. An even-odd ... More

Study of predominant hadronic modes of $τ$-lepton using a Monte Carlo generator TAUOLAJun 28 2015Aug 22 2015TAUOLA is a Monte Carlo generator dedicated to generating tau-lepton decays and it is used in the analysis of experimental data both at B-factories and LHC. TAUOLA is a long-term project that started in the 90's and has been under development up to now. ... More

Evolution of electric-field-induced quasibound states and resonances in one-dimensional open quantum systemsNov 01 2016A comparative analysis of three different time-independent approaches to studying open quantum structures in uniform electric field $\mathscr{E}$ was performed using the example of one-dimensional attractive or repulsive $\delta$-potential and surface ... More

Three Key Tests to GravityJun 20 2003Three presumably unrelated open questions concerning gravity and the structure of the Universe are here discussed: 1) To which extent is Lorentz invariance an exact symmetry ? 2) What is the equation of state of the Universe ? 3) What is the origin of ... More

Is Minisuperspace Quantum Gravity Reliable?Jan 27 2001Feb 13 2001We study a minisuperspace quantum cosmology for a 2+1 dimensional de Sitter universe and find the wave function both exactly and in WKB approximation. Then we extend the model to a canonically quantized field theory for quantum gravity, i.e., a midisuperspace, ... More

Diagnostic of stellar magnetic fields with cumulative circular polarisation profilesMay 27 2015Information about stellar magnetic field topologies is obtained primarily from high-resolution circular polarisation (Stokes $V$) observations. Due to their generally complex morphologies, the stellar Stokes $V$ profiles are usually interpreted with elaborate ... More

Variation of the line profile moments for stars pulsating in distorted oblique non-radial modesMar 21 2005We derive expressions and develop a numerical technique for the analysis of the line profile moment variations for stars pulsating in oblique non-radial modes. This represents an extension of the widely used spectroscopic moment mode identification method ... More

Social Behaviour of Agents: Capital Markets and Their Small PerturbationsMay 11 2005We study social behaviour of agents on capital markets when these are perturbed by small perturbations. We use the mean field method. Social behaviour of agents on capital markets is described: volatility of the market, aversion constant and equilibrium ... More

Landau theory of 180 degrees domain walls in BaTiO3 type ferroelectric particles: microcomposite materialsApr 27 2005Apr 27 2005The Landau theory of 180 degrees domain walls in BaTiO3 type ferroelectric particles is presented. Results of exact description of domain walls in bulk enabled us to formulate variational approach to theory of domain walls in corresponding small particles. ... More

Percolation thresholds on planar Euclidean relative neighborhood graphsJan 29 2013In the presented article, statistical properties regarding the topology and standard percolation on relative neighborhood graphs (RNGs) for planar sets of points, considering the Euclidean metric, are put under scrutiny. RNGs belong to the family of ``proximity ... More

Post-Riemannian Spacetimes Admit a Causal StructureJun 22 1997Apr 20 1999Paper withdrawn due to conceptual mistakes. A corrected version will soon be available at the gr-qc archive.

Theory of the Robin quantum wall in a linear potential. I. Energy spectrum, polarization and quantum-information measuresMay 10 2016Information-theoretical concepts are employed for the analysis of the interplay between a transverse electric field $\mathscr{E}$ applied to a one-dimensional surface and Robin boundary condition (BC), which with the help of the extrapolation length $\Lambda$ ... More

Comparative analysis of electric field influence on the quantum wells with different boundary conditions. I. Energy spectrum, quantum information entropy and polarizationFeb 10 2015Apr 07 2015Analytical solutions of the Schr\"{o}dinger equation for the one-dimensional quantum well with all possible permutations of the Dirichlet and Neumann boundary conditions (BCs) in perpendicular to the interfaces uniform electric field $\mathscr{E}$ are ... More

On eigenvalue distribution of random matrices of Ihara zeta function of large random graphsAug 31 2015Oct 07 2016We consider the ensemble of real symmetric random matrices $H^{(n,\rho)}$ obtained from the determinant form of the Ihara zeta function of random graphs that have $n$ vertices with the edge probability $\rho/n$. We prove that the normalized eigenvalue ... More

On Borel summation and Stokes phenomena of nonlinear differential systemsAug 16 2006In this paper we study analytic (linear or) nonlinear systems of ordinary differential equations, at an irregular singularity of rank one, under nonresonance conditions. It is shown that the formal asymptotic exponential series solutions (transseries ... More

Singularity barriers and Borel plane analytic properties of 1+ difference equationsAug 12 2006The paper addresses generalized Borel summability of ``$1^+$'' difference equations in ``critical time''. We show that the Borel transform $Y$ of a prototypical such equation is analytic and exponentially bounded for $\Re(p)<1$ but there is no analytic ... More

What mediates the longest correlation length in the QCD plasma?Jan 17 2003When thermal QCD crosses the critical temperature from below, its pressure density rises drastically, consistent with the picture of deconfinement and the release of partons as light degrees of freedom. On the other hand, the concept of partons is a perturbative ... More

Approximations of the self-similar solution for blastwave in a medium with power-law density variationFeb 04 2000Approximations of the Sedov self-similar solution for a strong point explosion in a medium with the power-law density distribution \rho^o\propto r^{-m} are reviewed and their accuracy are analyzed. Taylor approximation is extended to cases m\neq 0. Two ... More

Determination of alpha_S at 500 GeV from Event Shapes and Jet RatesDec 22 1999The potential of the TESLA linear e+e- collider to determine the strong coupling constant, alpha_S, at 500 GeV is investigated. Experimental complications due to background from W- and Z-pairs, top-production, initial state photon radiation and from beamstrahlung ... More

Note on the magnetotransport in the normal state of high-Tc cupratesJun 02 2000Theories of the magnetotransport, based on the quasipartricle of the Fermi-liquid, in the normal state of high-Tc cuprate superconductors, are critically examined and the necessity of the collective transport theory beyond the quasiparticle is discussed. ... More

Note on the exponent puzzle of the Anderson-Mott transitionMar 30 2007The exponent puzzle of the Anderson-Mott transition is discussed on the basis of a duality model for strongly correlated electrons.

Note on the Spin-Spin Relaxation Time in High-Tc Cuprate SuperconductorsNov 16 2000Recent experiments on the spin-spin relaxation time in high-Tc cuprate superconductors are discussed on the basis of the BCS-RPA theory.

On the Quantum Inverse Problem for the Closed Toda ChainApr 07 2003We reconstruct the canonical operators $p_i,q_i$ of the quantum closed Toda chain in terms of Sklyanin's separated variables.

Upper functions for $L_p$-norm of gaussian random fieldsNov 20 2013In this paper we are interested in finding upper functions for a collection of random variables $\big\{\big\|\xi_{\vec{h}}\big\|_p, \vec{h}\in\mathrm{H}\big\}, 1\leq p<\infty$. Here $\xi_{\vec{h}}(x), x\in(-b,b)^d, d\geq 1$ is a kernel-type gaussian random ... More

Systematic effects in apparent proper motion of radio sourcesMay 08 2008The galactocentric rotation of the Solar system generates the systematic effect in proper motions known as 'secular aberration drift'. This tiny effect (about five microseconds per year) in the quasar proper motion can be measured by VLBI. However, the ... More

Modeling and optimization of the antenna system with focal plane array for the new generation radio telescopes with wide field of viewFeb 15 2016The model of the reflector antenna system with focal plane array, low-noise amplifier and beamformer is developed in the work. The beamformer strategy is suggested to reduce the receiving sensitivity ripple inside field of view of the telescope, while ... More

Higher-order corrections to the splitting functions from differential equations in QCDJan 14 2016We report on the status an ab initio computation of the time-like splitting functions at next-to-next-to-leading order in QCD. Time-like splitting functions govern the collinear kinematics of inclusive hadron production in $e^+e^-$ annihilation and the ... More

The Thom Class and Localization of SUSY QM Generating FunctionalNov 13 2001We demonstrate the usage of explicit form of the Thom class found by Mathai and Quillen for the definition of generating functional of a simple supersymmetric quantum mechanical model.

Limit Theorem for Sums of Random ProductsOct 11 2002We study a generalization of the Random Energy Model to the case when the number of exponential factors varies at random. Also a relation between REM and the Erd"os-R'enyi limit theorem for maximums of partial sums is considered.

The combinatorial geometry of stresses in frameworksDec 08 2015In this paper we formulate and prove necessary and sufficient geometric conditions for existence of generic tensegrities in the plane for arbitrary graphs. The conditions are written in terms of "meet-join" relations for the configuration spaces of fixed ... More

On ultrametric-preserving functionsFeb 23 2019Several new characterizations of pseudoultrametric spaces and ultrametric spaces are found. In particular, a dual form of Pongsriiam-Termwuttipong characterization of the ultrametric-preserving functions is described.

On Connected Diagrams and Cumulants of Erdos-Renyi Matrix ModelsJul 06 2007Jul 10 2007Regarding the adjacency matrices of n-vertex graphs and related graph Laplacian, we introduce two families of discrete matrix models constructed both with the help of the Erdos-Renyi ensemble of random graphs. Corresponding matrix sums represent the characteristic ... More

Screening at finite temperature and densityOct 02 2007We present lattice QCD results on heavy quark free energies, extract from its temperature dependence entropy and internal energy contributions, and discuss the onset of medium effects that lead to screening of static quark-antiquark sources in a thermal ... More