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we focus on a question raised by daws [ arens regularity of the algebra of operators on a banach space, bull. lond. math. soc. 36 ( 2004 ), 493 - 503 ] concerning the arens regularity of b ( x ), the algebra of operators on a banach space x. among other things, we show that b ( x ) is arens regular if and only if x is ...
arxiv:1608.05986
the risk estimator called " direct eigenvalue estimator " ( dee ) is studied. dee was developed for small sample regression. in contrast to many existing model selection criteria, derivation of dee requires neither any asymptotic assumption nor any prior knowledge about the noise variance and the noise distribution. it...
arxiv:1610.03938
we propose defect extremal surface as the holographic counterpart of boundary quantum extremal surface. the defect extremal surface is defined by minimizing the ryu - takayanagi surface corrected by the defect theory. this is particularly interesting when the rt surface crosses or terminates on the defect. in a simple ...
arxiv:2012.07612
the assouad dimension of the limit set of a geometrically finite kleinian group with parabolics may exceed the hausdorff and box dimensions. the assouad \ emph { spectrum } is a continuously parametrised family of dimensions which ` interpolates ' between the box and assouad dimensions of a fractal set. it is designed ...
arxiv:2203.04931
we propose a new method for identifying active galactic nuclei ( agn ) in low mass ( $ \ rm m _ * \ leq10 ^ { 10 } m _ \ odot $ ) galaxies. this method relies on spectral energy distribution ( sed ) fitting to identify galaxies whose radio flux density has an excess over that expected from star formation alone. combini...
arxiv:2402.11817
the superfluid density near the superconducting transition is investigated in the presence of spatial inhomogeneity in the critical temperature. disorder is accounted for by means of a random $ t _ c $ term in the conventional ginzburg - landau action for the superconducting order parameter. focusing on the case where ...
arxiv:0808.1314
quantum metrology research promises approaches to build new sensors that achieve the ultimate level of precision measurement and perform fundamentally better than modern sensors. practical schemes that tolerate realistic fabrication imperfections and environmental noise are required in order to realise quantum - enhanc...
arxiv:1307.4673
we discuss the energy of the excited 2 $ ^ + $ state in the unbound nucleus $ ^ { 26 } $ o using the three - body model of $ ^ { 24 } $ o + $ n $ + $ n $. this model fully takes into account the continuum effects as well as the dineutron correlation of the valence neutrons. the present calculation yields the energy of ...
arxiv:1407.3560
we investigate the taylor expansion of the baryon number susceptibility, and hence, pressure, in a series in the baryon chemical potential ( mu _ b ) through a lattice simulation with light dynamical staggered quarks at a finer lattice cutoff a = 1 / 6t. we determine the qcd cross over coupling at mu _ b = 0. we find t...
arxiv:0806.2233
given a symmetric siegel domain $ \ mathscr d $ and a positive plurihamonic function $ f $ on $ \ mathscr d $, we study the largest positive radon measure $ \ mu $ on the silov boundary $ \ mathrm b \ mathscr d $ of $ \ mathscr d $ whose poisson integral $ \ mathscr p \ mu $ is $ \ leq f $. if $ \ mathscr d $ has no tu...
arxiv:2403.05436
we study radio - frequency ( rf ) wireless power transfer ( wpt ) using a digital radio transmitter for applications where alternative analog transmit circuits are impractical. an important paramter for assessing the viability of an rf wpt system is its end - to - end efficiency. in this regard, we present a prototype ...
arxiv:2012.01108
we analyze the role of the difference between the central frequencies of the spectral distributions of the vector potential and the electric field of a short laser pulse. the frequency shift arises when the electric field is determined as the derivative of the vector potential to ensure that both quantities vanish at t...
arxiv:1807.00856
in this paper, we demonstrate some applications of compressive sensing over networks. we make a connection between compressive sensing and traditional information theoretic techniques in source coding and channel coding. our results provide an explicit trade - off between the rate and the decoding complexity. the key d...
arxiv:1012.0955
the pre - exponential factor in the probability of decay of a metastable vacuum is calculated for a generic ( 2 + 1 ) dimensional model in the limit of small difference $ \ epsilon $ of the energy density between the metastable and the stable vacua. it is shown that this factor is proportional to $ \ epsilon ^ { - 7 / ...
arxiv:hep-th/0407061
the problem of structure from motion is concerned with recovering 3 - dimensional structure of an object from a set of 2 - dimensional images. generally, all information can be uniquely recovered if enough images and image points are provided, but there are certain cases where unique recovery is impossible ; these are ...
arxiv:2112.05074
recent advances in ai technology have made the forgery of digital images and videos easier, and it has become significantly more difficult to identify such forgeries. these forgeries, if disseminated with malicious intent, can negatively impact social and political stability, and pose significant ethical and legal chal...
arxiv:1912.12184
we present a topological framework for finding low - flop algorithms for evaluating element stiffness matrices associated with multilinear forms for finite element methods posed over straight - sided affine domains. this framework relies on phrasing the computation on each element as the contraction of each collection ...
arxiv:1205.3001
persistent homology is a tool that can be employed to summarize the shape of data by quantifying homological features. when the data is an object in $ \ mathbb { r } ^ d $, the ( augmented ) persistent homology transform ( ( a ) pht ) is a family of persistence diagrams, parameterized by directions in the ambient space...
arxiv:2212.13206
in this note, we give a short proof of the torelli theorem for cubic fourfolds that relies on the global torelli theorem for irreducible holomorphic symplectic varieties proved by verbitsky.
arxiv:1209.4509
in this paper, we consider the dynamic multi - robot distribution problem where a heterogeneous group of networked robots is tasked to spread out and simultaneously move towards multiple moving task areas while maintaining connectivity. the heterogeneity of the system is characterized by various categories of units and...
arxiv:2012.10008
we give a detailed account of the methods introduced in [ 1 ] to calculate holographic four - point correlators in iib supergravity on $ ads _ 5 \ times s ^ 5 $. our approach relies entirely on general consistency conditions and maximal supersymmetry. we discuss two related methods, one in position space and the other ...
arxiv:1710.05923
multiple description coding ( mdc ) is an error - resilient source coding method designed for transmission over noisy channels. we present a novel mdc scheme employing a neural network based on implicit neural representation. this involves overfitting the neural representation for images. each description is transmitte...
arxiv:2306.13919
we report neutron scattering measurements of the spectrum of magnetic excitations in the stripe - ordered phase of la2 - xsrxnio4 ( x = 0. 275 and 1 / 3 ). the propagating spin excitations follow a similar dispersion relation for the two compositions, but the line widths are broader for x = 0. 275 than for x = 1 / 3.
arxiv:cond-mat/0308630
we propose a class of e6 - based local orbifold grand unified theories ( guts ) which yield an exceptional supersymmetric standard model as their low energy theory including leptoquark and unhiggs exotics and a z ' at the tev scale. unification is achieved in two steps through an intermediate scale symmetry breaking.
arxiv:1001.4074
let $ g $ be a finite abelian group, let $ 0 < \ alpha < 1 $, and let $ a \ subseteq g $ be a random set of size $ | g | ^ \ alpha $. we let $ $ \ mu ( a ) = \ max _ { b, c : | b | = | c | = | a | } | \ { ( a, b, c ) \ in a \ times b \ times c : a = b + c \ } |. $ $ the issue is to determine upper bounds on $ \ mu ( a ...
arxiv:1309.5582
$ f $ the germ of $ f $ at $ z $ is smoothly equivalent to a homogeneous polynomial $ \ mathbb { r } ^ 2 \ to \ mathbb { r } $ without multiple linear factors.
arxiv:1610.01219
the article [ hps ] established a monotonicity inequality for the helmholtz equation and presented applications to shape detection and local uniqueness in inverse boundary problems. the monotonicity inequality states that if two scattering coefficients satisfy $ q _ 1 \ leq q _ 2 $, then the corresponding neumann - to ...
arxiv:1901.08495
we introduce a just - in - time runtime program transformation strategy based on repeated recursion unfolding. our online program optimization generates several versions of a recursion differentiated by the minimal number of recursive steps covered. the base case of the recursion is ignored in our technique. our method...
arxiv:2307.02180
we have observed centaurus a with the mid - infrared interferometric instrument ( midi ) at the very large telescope interferometer ( vlti ) at resolutions of 7 - 15 mas ( at 12. 5 micron ) and filled gaps in the ( u, v ) coverage in comparison to earlier measurements. we are now able to describe the nuclear emission i...
arxiv:1008.0858
artificial bee colony ( abc ), an optimization algorithm is a recent addition to the family of population based search algorithm. abc has taken its inspiration from the collective intelligent foraging behavior of honey bees. in this study we have incorporated golden section search mechanism in the structure of basic ab...
arxiv:1210.6128
we analyze the shape of radial second dirichlet eigenfunctions of fractional schr \ " odinger type operators of the form $ ( - \ delta ) ^ s + v $ in the unit ball $ b $ in $ \ mathbb { r } ^ n $ with a nondecreasing radial potential $ v $. specifically, we show that the eigenspace corresponding to the second radial ei...
arxiv:2405.02120
we summarize measurements of elliptic flow and higher order flow harmonics performed by the atlas experiment at the lhc. results on event - averaged flow measurements and event - plane correlations in pb + pb collisions are discussed along with the event - by - event flow measurements. further, we summarize results on ...
arxiv:1406.5541
earlier estimates have argued that the baryon number violating scattering cross - section in the laboratory is exponentially small so it will never be observed, even for incoming 2 - particle energy well above the sphaleron energy of 9 tev. however, we argue in arxiv : 1505. 03690 that, due to the periodic nature of th...
arxiv:1710.07223
recent progress in image recognition has stimulated the deployment of vision systems at an unprecedented scale. as a result, visual data are now often consumed not only by humans but also by machines. existing image processing methods only optimize for better human perception, yet the resulting images may not be accura...
arxiv:1910.09185
we first consider immersions on compact manifolds with uniform $ l ^ p $ - bounds on the second fundamental form and uniformly bounded volume. we show compactness in arbitrary dimension and codimension, generalizing a classical result of j. langer. in the second part, this result is used to deduce a localized version, ...
arxiv:1201.4562
we define a variant of the young integration on some kinds of self - similar sets which are called cellular self - similar sets. this variant is an analogue of the young integration defined on the unit interval. we give the criteria of the variant on cellular self - similar sets, and also show that the variant is a cyc...
arxiv:1612.03311
we compute the particle currents induced on a bubble wall background at finite temperature in a model with cp violation in the higgs sector. using a field theory approach we show that fermionic currents arise at one loop, so that a suppression factor $ { \ cal o } ( h _ t \ phi / \ pi t ) ^ 2 $ with respect to previous...
arxiv:hep-ph/9504265
the new transient x - ray pulsar xte j0111. 2 - 7317 was observed with advanced satellite for cosmology and astrophysics ( asca ) on 1998 november 18, a few days after its discovery with the proportional counter array onboard the rossi x - ray timing explorer. the source was detected at a flux level of 3. 6x10 ^ - 10 e...
arxiv:astro-ph/0003251
an accurate line list for calcium oxide is presented covering transitions between all bound ro - vibronic levels from the five lowest electronic states \ x, \ ap, \ a, \ astate, and \ bstate. the ro - vibronic energies and corresponding wavefunctionts were obtained by solving the fully coupled schr \ " { o } dinger equ...
arxiv:1512.08987
we suggest a new asymptotic representation for the solutions to the 2 - d wave equation with variable velocity with localized initial data. this representation is a generalization of the maslov canonical operator and gives the formulas for the relationship between initial localized perturbations and wave profiles near ...
arxiv:math-ph/0601001
in this paper, we are concerned with the compressible viscous magnetohydrodynamic ( mhd ) system and investigate the large time behavior of strong solutions near constant equilibrium. in the eighties, umeda, kawashima and shizuta initiated the dissipative mechanism for a rather general class of symmetric hyperbolic - p...
arxiv:1710.00154
recurrent neural networks have been widely used in sequence learning tasks. in previous studies, the performance of the model has always been improved by either wider or deeper structures. however, the former becomes more prone to overfitting, while the latter is difficult to optimize. in this paper, we propose a simpl...
arxiv:1911.08074
$ \ newcommand { \ eps } { \ epsilon } \ newcommand { \ np } { \ mathsf { np } } \ newcommand { \ yes } { \ mathsf { yes } } \ newcommand { \ no } { \ mathsf { no } } \ newcommand { \ myminus } { \ text { - } } \ newcommand { \ bsat } { { \ mathsf { b } } } \ newcommand { \ threesat } { \ rm { 3 } \ myminus \ mathsf { ...
arxiv:1806.04080
we present a programme of spectroscopic observations of galaxies in a sample of optically - selected clusters taken from the catalogue of couch et al ( 1991 ). previous rosat observations of these clusters have shown them to have lower x - ray luminosities, given their optical richness, than might be expected on the ba...
arxiv:astro-ph/9705099
we perform a thorough theoretical study of the electron properties of a generic cuo $ _ 2 $ plane in the framework of shubin - kondo - zener $ s $ - $ d $ exchange interaction that simultaneously describes the correlation between $ t _ c $ and the cu4 $ s $ energy. to this end, we apply the pokrovsky theory [ j. exp. t...
arxiv:2208.00936
motivated by the problem of background independence of closed string field theory we study geometry on the infinite vector bundle of local fields over the space of conformal field theories ( cft ' s ). with any connection we can associate an excluded domain $ d $ for the integral of marginal operators, and an operator ...
arxiv:hep-th/9304053
the harmonic archipelago ha is obtained by attaching a large pinched annulus to every pair of consecutive loops of the hawaiian earring. we clarify the fundamental group pi1 ( ha ) as a quotient of the hawaiian earring group, provide a precise description of the kernel, show that both pi1 ( ha ) and the kernel are unco...
arxiv:math/0501426
we provide a new derivation of the hawking mass and willmore energy functionals for asymptotically ads spacetimes, by embedding einstein - ads gravity in conformal gravity. by construction, the evaluation of the four - dimensional conformal gravity action in a manifold with a conical defect produces a codimension - 2 c...
arxiv:2209.02006
the energetic properties of a paired quantum hall state at landau level filling $ \ nu = 2 $ are investigated using variational monte carlo techniques. pairing is found to be energetically favorable in small magnetic fields because it introduces correlations between up and down spins that are absent in the traditional ...
arxiv:cond-mat/9606107
we prove two conjectures of paule and radu from their recent paper on broken k - diamond partitions.
arxiv:1104.5430
two different multivariate clustering techniques, the k - means partitioning method and the dirichlet process of mixture modeling, have been applied to the batse gamma - ray burst ( grb ) catalog, to obtain the optimum number of coherent groups. in the standard paradigm, grb are classified in only two groups, the long ...
arxiv:0705.4020
it is shown that similarly to massless superparticle, classical global symmetry of the berkovits twistor string action is infinite - dimensional. we identify its superalgebra, whose finite - dimensional subalgebra contains $ psl ( 4 | 4, \ mathbb r ) $ superalgebra. in quantum theory this infinite - dimensional symmetr...
arxiv:1405.7829
in this paper, we report the observation of spin - orbit magnetoresistance ( somr ) in ferromagnetic metal / heavy metal / mgo system. we measure the magnetoresistance as the function of the thickness of heavy metal ( hm ) for cofeb / hm / mgo and cofeb / hm films where hm = pt and ta. besides the conventional spin hal...
arxiv:1909.12811
let $ \ pi _ 1, \ pi _ 2 $ be irreducible admissible generic tempered representations of $ \ mathrm { gl } _ 2 ( f ) $ for some $ p $ - adic field $ f $ of odd residue characteristic. we introduce a natural notion of general $ ( \ pi _ 1 \ times \ pi _ 2 ) $ - integral data $ ( \ phi, g _ 1, g _ 2 ) \ in \ mathcal { s ...
arxiv:2501.16972
bose - einstein condensation is a remarkable manifestation of quantum statistics and macroscopic quantum coherence. superconductivity and superfluidity have their origin in bose - einstein condensation. ultracold quantum gases have provided condensates close to the original ideas of bose and einstein, while condensatio...
arxiv:1706.01528
we prove that the sequence spaces $ \ ell _ p \ oplus \ ell _ q $ and the spaces of infinite matrices $ \ ell _ p ( \ ell _ q ) $, $ \ ell _ q ( \ ell _ p ) $ and $ ( \ bigoplus _ { n = 1 } ^ \ infty \ ell _ p ^ n ) _ { \ ell _ q } $, which are isomorphic to certain besov spaces, have an almost greedy basis whenever $ ...
arxiv:2208.10203
i argue against the widespread notion that manifest de sitter invariance on the full de sitter manifold is either useful or even attainable in gauge theories. green ' s functions and propagators computed in a de sitter invariant gauge are generally more complicated than in some noninvariant gauges. what is worse, solvi...
arxiv:gr-qc/0408002
the phase and phase - shift resulting from signal modification ka - band exciter ( kex ) it supplies telemetry data. s - band transmitter is used for radio science experiments. the transmitter receives signal from the rfs, amplifies and multiplies the signal, sending a 2290 mhz signal to the antenna. filter microwave e...
https://en.wikipedia.org/wiki/Radio_science_subsystem
in this lecture, i put forward conjectures asserting that, in all noncommutative field theories, ( 1 ) open wilson lines and their descendants constitute a complete set of interpolating operators of ` noncommutative dipoles ', obeying dipole relation, ( 2 ) infrared dynamics of the noncommutative dipoles is dual to ult...
arxiv:hep-th/0207108
we prove a milnor - l \ ^ e type fibration theorem for a subanalytic map $ f : x \ to y $ between subanalytic sets $ x \ subset \ mathbb { r } ^ m $ and $ y \ subset \ mathbb { r } ^ n $. moreover, if $ f $ extends to an analytic map $ \ mathbb { r } ^ m \ to \ mathbb { r } ^ n $, we define the singular set and the dis...
arxiv:1806.05349
in recent years, a number of observations have been made of the transits of ' hot jupiters ', such as hd 189733b, which have been modelled to derive atmospheric structure and composition. as measurement techniques improve, the transit spectra of ' super - earths ' such as gj 1214b are becoming better constrained, allow...
arxiv:1408.3914
we present inferflow, an efficient and highly configurable inference engine for large language models ( llms ). with inferflow, users can serve most of the common transformer models by simply modifying some lines in corresponding configuration files, without writing a single line of source code. compared with most exis...
arxiv:2401.08294
we call a coupling of two stochastic processes which maximizes the time until the first disagreement a maximal agreement coupling. we show that such a coupling always exists. furthermore, it is possible to construct a lower bound on the disagreement time which is independent of one of the two processes.
arxiv:1608.01511
understanding equilibration and thermalization in isolated many - body quantum systems is a central challenge in quantum physics. the traditional approach focuses on the study of the full state of the quantum system which, at equilibrium, is best described by the diagonal ensemble. here, we present observable statistic...
arxiv:2309.15173
cell detection and segmentation are integral parts of automated systems in digital pathology. encoder - decoder networks have emerged as a promising solution for these tasks. however, training of these networks has typically required full boundary annotations of cells, which are labor - intensive and difficult to obtai...
arxiv:2412.15392
various approaches to gene selection for cancer classification based on microarray data can be found in the literature and they may be grouped into two categories : univariate methods and multivariate methods. univariate methods look at each gene in the data in isolation from others. they measure the contribution of a ...
arxiv:1506.02085
cluster number counts offer sensitive probes of the dark energy if and only if the _ evolution _ of the cluster mass versus observable relation ( s ) is well calibrated. we investigate the potential for internal calibration by demanding consistency in the counts as a function of the observable. in the context of a cons...
arxiv:astro-ph/0301416
we build and probe a $ \ mathbb { z } _ 2 $ spin liquid in a programmable quantum device, the d - wave dw - 2000q. specifically, we observe the classical 8 - vertex and 6 - vertex ( spin ice ) states and transitions between them. to realize this state of matter, we design a hamiltonian with combinatorial gauge symmetry...
arxiv:2009.07853
modern datasets are often in the form of matrices or arrays, potentially having correlations along each set of data indices. for example, data involving repeated measurements of several variables over time may exhibit temporal correlation as well as correlation among the variables. a possible model for matrix - valued ...
arxiv:1008.2169
in this study, we address challenges in designing quantum information processors based on electron spin qubits in electrostatically - defined quantum dots ( qds ). numerical calculations of charge stability diagrams are presented for a realistic double qd device geometry. these methods generaize to linear qd arrays, an...
arxiv:2402.15499
this paper shows that accretion of positronium plasma between 0. 01 to 14s after the big bang could have created small black holes contributing at least 1 percent of the dark matter present today, with uncertainties ranging from 10 percent or more. general relativistic magnetohydrodynamic ( grmhd ) simulations newly ad...
arxiv:2403.04227
deep reinforcement learning ( drl ) policies are highly susceptible to adversarial noise in observations, which poses significant risks in safety - critical scenarios. the challenge inherent to adversarial perturbations is that by altering the information observed by the agent, the state becomes only partially observab...
arxiv:2406.04724
nature. some notable structuralists include : paul benacerraf : a philosopher known for his work in the philosophy of mathematics, particularly his paper " what numbers could not be, " which argues for a structuralist view of mathematical objects. stewart shapiro : another prominent philosopher who has developed and de...
https://en.wikipedia.org/wiki/Mathematical_object
we propose a kinematic method based on a factorization formula for precisely measuring the top quark mass $ m _ t $ in $ pp $ collisions using boosted top jets with light soft drop grooming. by using light grooming, which is an order of magnitude less aggressive than typical grooming, we retain a universal description ...
arxiv:1708.02586
in a 3 - manifold m, let k be a knot and r be an annulus which meets k transversely. we define the notion of the pair ( r, k ) being caught by a surface q in the exterior of the link given by k and the boundary curves of r. for a caught pair ( r, k ), we consider the knot k ^ n gotten by twisting k n times along r and ...
arxiv:1303.7018
quantum computing holds immense potential for solving classically intractable problems by leveraging the unique properties of quantum mechanics. the scalability of quantum architectures remains a significant challenge. multi - core quantum architectures are proposed to solve the scalability problem, arising a new set o...
arxiv:2401.17976
the alignment dependence of the ionization behavior of h $ _ 2 $ exposed to intense ultrashort laser pulses is investigated on the basis of solutions of the full time - dependent schr \ " odinger equation within the fixed - nuclei and dipole approximation. the total ionization yields as well as the energy - resolved el...
arxiv:0909.4483
the cosmic background imager ( cbi ) is a 13 - element interferometer designed to image intrinsic anisotropies in the cosmic microwave background ( cmb ) on arcminute scales. a review of the capabilities of the instrument is presented, together with a discussion of observations which have been taken over the past 9 mon...
arxiv:astro-ph/0101171
deep learning in image registration ( dlir ) methods have been tremendously successful in image registration due to their speed and ability to incorporate weak label supervision at training time. however, existing dlir methods forego many of the benefits and invariances of optimization methods. the lack of a task - spe...
arxiv:2406.07361
perturbation theory ( pt ) applied to a cosmological density field with gaussian initial fluctuations suggests a specific hierarchy for the correlation functions when the variance is small. in particular quantitative predictions have been made for the moments and the shape of the one - point probability distribution fu...
arxiv:astro-ph/9707009
a fundamental task in wireless communication is channel estimation : compute the channel parameters a signal undergoes while traveling from a transmitter to a receiver. in the case of delay - doppler channel, a widely used method is the matched filter algorithm. it uses a pseudo - random sequence of length n, and, in c...
arxiv:1208.4405
we investigate the relationship between the zeeman interaction and the inversion asymmetry induced spin orbit interactions ( rashba and dresselhaus sois ) in gaas hole quantum point contacts. the presence of a strong soi results in crossing and anti - crossing of adjacent spin - split hole subbands in a magnetic field....
arxiv:1703.04233
we report the highest - redshift detection of [ o i ] 63 $ \ mu $ m from a luminous quasar, j2054 - 0005, at $ z = 6. 04 $ based on the atacama large millimeter / sub - millimeter array band 9 observations. the [ o i ] 63 $ \ mu $ m line luminosity is $ ( 4. 5 \ pm1. 5 ) \ times 10 ^ { 9 } ~ l _ { \ rm \ odot } $, corr...
arxiv:2408.09944
the concept of gyrogroups is a generalization of groups which do not explicitly have associativity. in this paper, the notion of fuzzy gyronorms on gyrogroups is introduced. the relations of fuzzy metrics ( in the sense of george and veeramani ), fuzzy gyronorms and gyronorms on gyrogroups are studied. also, the fuzzy ...
arxiv:2006.09215
muons from cosmic - ray interactions in the atmosphere provide a high - statistics source of particles that can be used to study the performance and calibration of the atlas detector. cosmic - ray muons can penetrate to the cavern and deposit energy in all detector subsystems. such events have played an important role ...
arxiv:1011.6665
obtaining sparse, interpretable representations of observable data is crucial in many machine learning and signal processing tasks. for data representing flows along the edges of a graph, an intuitively interpretable way to obtain such representations is to lift the graph structure to a simplicial complex : the eigenve...
arxiv:2309.01632
we construct solutions to five dimensional minimal supergravity using an atiyah - hitchin base space. in examining the structure of solutions we show that they generically contain a singularity either on the atiyah - hitchin bolt or at larger radius where there is a singular solitonic boundary. however for most points ...
arxiv:0804.4159
a comparative study of the dielectric properties and electric polarization of multiferroics gdmn2o5 and gd0. 8ce0. 2mn2o5 has been carried out in the temperature range from 5 up to 300 k. the polarization properties in the ferroelectric state that forms due to a charge ordering and exchange striction have been studied ...
arxiv:1803.02126
the association between star - forming regions and x - ray emission was discovered over 30 years ago. we now know that essentially all young stellar objects, t tauri stars and protostars, are x - ray emitters, although the case of the youngest, class ~ 0 protostars, is less clear. the paper highlights x - ray emission ...
arxiv:astro-ph/0111271
information extraction and user intention identification are central topics in modern query understanding and recommendation systems. in this paper, we propose deepprobe, a generic information - directed interaction framework which is built around an attention - based sequence to sequence ( seq2seq ) recurrent neural n...
arxiv:1707.05470
the influence of disorder on the transmission through periodic waveguides is studied. using a canonical form of the transfer matrix we investigate dependence of the lyapunov exponent $ \ gamma $ on the frequency $ \ nu $ and magnitude of the disorder $ \ sigma $. it is shown that in the bulk of the bands $ \ gamma \ si...
arxiv:1110.4132
the eigenvalue problem is a fundamental problem in scientific computing. in this paper, we first give the error analysis for a single step or sweep of jacobi ' s method in floating point arithmetic. then we propose a mixed precision preconditioned jacobi method for the symmetric eigenvalue problem : we first compute th...
arxiv:2211.03339
glacial - interglacial cycles are large variations in continental ice mass and greenhouse gases, which have dominated climate variability over the quaternary. the dominant periodicity of the cycles is $ \ sim $ 40 kyr before the so - called middle pleistocene transition between $ \ sim $ 1. 2 and $ \ sim $ 0. 7 myr ago...
arxiv:1506.04628
we consider the correspondence assigning to every radon measure on two tychonoff coordinate spaces the set of probability measures with these marginals. it is proved that this correspondence is continuous.
arxiv:math/0502474
in this paper, we investigate frequency - selective dynamic scattering array ( dsa ), a versatile antenna structure capable of performing joint wave - based computing and radiation by transitioning signal processing tasks from the digital domain to the electromagnetic ( em ) domain. the numerical results demonstrate th...
arxiv:2502.07336
we study surface effects of neutron $ ^ { 3 } p _ { 2 } $ superfluids in neutron stars. $ ^ { 3 } p _ { 2 } $ superfluids are in uniaxial nematic ( un ), d $ _ { 2 } $ biaxial nematic ( bn ), or d $ _ { 4 } $ bn phase, depending on the strength of magnetic fields from small to large. we suppose a neutron $ ^ { 3 } p _ ...
arxiv:1905.13666
we generalize the standard hopfield model to the case when a weight is assigned to each input pattern. the weight can be interpreted as the frequency of the pattern occurrence at the input of the network. in the framework of the statistical physics approach we obtain the saddle - point equation allowing us to examine t...
arxiv:1205.0908
we study a system of weakly interacting electrons described by the energy dispersion $ \ xi ( \ mathbf { k } ) = k _ x ^ 2 - k _ y ^ 2 - \ mu $ in two dimensions within a renormalization group approach. this energy dispersion exhibits a neck - narrowing lifshitz transition at the critical chemical potential $ \ mu _ c ...
arxiv:1407.6732
various x - ray satellites have used the crab as a standard candle to perform their calibrations in the past. the calibration of xmm - newton, however, is independent of the crab nebula, because this object has not been used to adjust spectral calibration issues. in 2004 a number of special observations were performed ...
arxiv:astro-ph/0508235
we report on the discovery of a highly luminous, broad absorption line quasar at a redshift of $ z = 3. 87 $ which is positionally coincident, within one arcsecond, with the iras fsc source f08279 + 5255. a chance alignment of the quasar and the iras source is extremely unlikely and we argue that the optical and fir fl...
arxiv:astro-ph/9806171