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the reaction 243 am ( n, 2n ) populates the t of 16 hours ground state 242 g am with j of 1 or the 242 m am isomer state j of 5 with t of 141 years. the former state 242 g am mostly beta decays to 242 cm, or transmutes to 242 pu via electron capture. the absolute yield of 242 g am is compatible with the measured data, ...
arxiv:2406.15445
we propose a method for detecting single chiral phonons that will enable their use as dark - matter detectors. we suggest metal - - organic frameworks ( mofs ) as detector materials, as their flexibility yields low - energy chiral phonons with measurable magnetic moments, and their anisotropy leads to directional sensi...
arxiv:2301.07617
we report detailed studies on non - equilibrium magnetic behavior of antiferromagnetic co _ 3o _ 4 nanoparticles. temperature and field dependence of magnetization, wait time dependence of magnetic relaxation ( aging ), memory effects and temperature dependence of specific heat have been investigated to understand the ...
arxiv:1102.2303
we study multi - budgeted variants of the classic minimum cut problem and graph separation problems that turned out to be important in parameterized complexity : skew multicut and directed feedback arc set. in our generalization, we assign colors $ 1, 2,..., \ ell $ to some edges and give separate budgets $ k _ { 1 }, ...
arxiv:1810.06848
in this paper we generalize the notion of the comparative index for the pair of lagrangian subspaces which has fundamental applications in oscillation theory of symplectic difference systems and linear differential hamiltonian systems. we introduce cyclic sums $ \ mu _ c ^ { \ pm } ( y _ 1, y _ 2, \ dots, y _ m ), \, m...
arxiv:2202.01041
we define generalised chiral vertex operators covariant under the ocneanu ` ` double triangle algebra ' ' { \ cal a }, a novel quantum symmetry intrinsic to a given rational 2 - d conformal field theory. this provides a chiral approach, which, unlike the conventional one, makes explicit various algebraic structures enc...
arxiv:hep-th/0101151
convolutional neural networks ( cnn ) have enabled major advances in image classification through convolution and pooling. in particular, image pooling transforms a connected discrete grid into a reduced grid with the same connectivity and allows reduction functions to take into account all the pixels of an image. howe...
arxiv:2208.01648
two - level systems ( tls ) coupled to waveguides are a fundamental paradigm for light - matter interactions and quantum networks. we introduce and experimentally demonstrate a method to tune the interaction between a tls, implemented as a flux qubit, and a transmission line waveguide from a decoupled state to a coupli...
arxiv:2208.05571
mesh generation plays a crucial role in scientific computing. traditional mesh generation methods, such as tfi and pde - based methods, often struggle to achieve a balance between efficiency and mesh quality. to address this challenge, physics - informed intelligent learning methods have recently emerged, significantly...
arxiv:2501.11937
the ability to confine light into tiny spatial dimensions is important for applications such as microscopy, sensing and nanoscale lasers. while plasmons offer an appealing avenue to confine light, landau damping in metals imposes a trade - off between optical field confinement and losses. we show that a graphene - insu...
arxiv:1804.01061
let $ f $ be a nonarchimedean local field and consider the action of the reductive group so $ _ 3 ( f ) $ on the spherical variety ( u $ _ 3 $ / o $ _ 3 ) ( f ) $. we compute the endoscopic orbital integrals of the basic function in this situation. knowing the endoscopic orbital integrals is essential for observing the...
arxiv:2110.11890
we investigate the impacts of spatial pricing for ride - sourcing services in a stackelberg framework considering traffic congestion. in the lower level, we use combined distribution and assignment approaches to explicitly capture the interactions between drivers ' relocation, riders ' mode choice, and all travelers ' ...
arxiv:2006.00164
we propose a novel algorithm for learning fair representations that can simultaneously mitigate two notions of disparity among different demographic subgroups in the classification setting. two key components underpinning the design of our algorithm are balanced error rate and conditional alignment of representations. ...
arxiv:1910.07162
in this article, using hadamard product for $ _ 4f _ 3 \ left ( ^ { a _ 1, \, a _ 2, \, a _ 3, \, a _ 4 } _ { b _ 1, \, b _ 2, \, b _ 3 } ; z \ right ) $ hypergeometric function with normalized analytic functions in the open unit disc, an operator $ \ mathcal { i } ^ { a _ 1, a _ 2, a _ 3, a _ 4 } _ { b _ 1, b _ 2, b _...
arxiv:2211.04950
we establish a link between the concepts of infrared renormalons, infrared fixed point, and dynamical nonperturbative mass generation of gluons in pure yang - mills theories. by utilizing recent results in the resurgent analysis of renormalons through non - linear ordinary differential equations, we develop a new descr...
arxiv:2405.01639
in the first half of the paper, some recent advances in coupled dynamical systems, in particular, a globally coupled map are surveyed. first, dominance of milnor attractors in partially ordered phase is demonstrated. second, chaotic itinerancy in high - dimensional dynamical systems is briefly reviewed, with discussion...
arxiv:nlin/0203040
a sixth order quadrupole boson hamiltonian is treated through a time dependent variational principle approach choosing as trial function a coherent state with respect to zeroth $ b ^ { \ dagger } _ 0 $ and second $ b ^ { \ dagger } _ 2 + b ^ { \ dagger } _ { - 2 } $ components of the quadrupole bosons. the coefficients...
arxiv:nucl-th/0507069
we present a novel method for the calculation of the static and electronic dielectric tensor of polar insulating crystals based on concepts from the modern theory of dielectric polarization. as an application, we present the first ab initio calculation of the dielectric constants in the wurtzite iii - v nitrides aln, g...
arxiv:cond-mat/9707252
in this paper we obtain a 2 + 2 double null hamiltonian description of general relativity using only the ( complex ) so ( 3 ) connection and the components of the complex densitised self - dual bivectors. we carry out the general canonical analysis of this system and obtain the first class constraint algebra entirely i...
arxiv:gr-qc/0604084
we present 1. 4 to 2. 5 um integral field spectroscopy of 16 stars in the braid nebula star formation region in cygnus ob7. these data forms one aspect of a large - scale multi - wavelength survey aimed at determining an unbiased estimate of the number, mass distribution, and evolutionary state of the young stars withi...
arxiv:0810.3943
we give a variant of the homogeneous buchberger algorithm for positively graded lattice ideals. using this algorithm we solve the sullivant computational commutative algebra challenge.
arxiv:math/0508287
we consider $ d = 2 $, $ \ mathcal { n } = ( 0, 2 ) $ scfts that can arise from m5 - branes wrapping four - dimensional, complex, toric manifolds and orbifolds. we use equivariant localization to compute the off - shell central charge of the dual supergravity solutions, obtaining a result which can be written as a sum ...
arxiv:2308.10933
far infrared fine structure line data from the iso archive have been extracted for several hundred ysos and their outflows, including molecular ( co ) outflows, optical jets and herbig - haro ( hh ) objects. given the importance of these lines to astrophysics, their excitation and transfer ought to be investigated in d...
arxiv:astro-ph/0509836
we report the results of deep ( 4. 6h ) h band spectroscopy of the well studied z ~ 12 h - band dropout galaxy candidate udfj - 39546284 with mosfire on keck - i. these data reach a sensitivity of 5 - 10 x 10 ^ - 19 erg s ^ - 1 cm ^ - 2 per 4. 4 angstrom resolution element between sky lines. previous papers have argued...
arxiv:1307.4089
a complete numerical description of the charge and spin dynamics of a two - electron system confined in narrow nanowire quantum dots under oscillating electric field is presented in the context of recent electric dipole spin resonance experiments. we find that the spin - orbit coupling results in lifting the spin block...
arxiv:1303.0211
there has been considerable interest in a recent preprint - arxiv / 1407. 3194 - describing an effect named as the quantum pigeonhole principle. the classical pigeonhole principle ( classical php ) refers to a result in number theory which states that if n objects are distributed between m boxes, with m less than n, th...
arxiv:1412.1333
we develop an automated computational modeling framework for rapid gradient - based design of multistable soft mechanical structures composed of non - identical bistable unit cells with appropriate geometric parameterization. this framework includes a custom isogeometric analysis - based continuum mechanics solver that...
arxiv:2309.04970
the prospects of the future panda experiment at fair in darmstadt / germany in the field of charmonium and charm spectroscopy are discussed.
arxiv:1210.4701
a ccd photometry of the dwarf nova master ot j172758. 09 + 380021. 5 was carried out in 2019 during 134 nights. observations covered three superoutbursts, five normal outbursts and quiescence between them. the available asassn and ztf data for 2014 - 2020 were also examined. spectral observations were done in 2020 when...
arxiv:2103.14369
recent studies on reservoir computing essentially involve a high dimensional dynamical system as the reservoir, which transforms and stores the input as a higher dimensional state, for temporal and nontemporal data processing. we demonstrate here a method to predict temporal and nontemporal tasks by constructing virtua...
arxiv:2401.09501
we point out that the mixed - event method for two - particle acceptance correction, widely used in particle correlation measurements at rhic and lhc, is wrong in cases where the single particle pseudorapidity distribution is significantly nonuniform. the correct acceptance should be the convolution of two single - par...
arxiv:1304.8120
we study the perturbative dynamics of noncommutative field theories on r ^ d, and find an intriguing mixing of the uv and the ir. high energies of virtual particles in loops produce non - analyticity at low momentum. consequently, the low energy effective action is singular at zero momentum even when the original nonco...
arxiv:hep-th/9912072
unit disk graphs are intersection graphs of circles of unit radius in the plane. we present simple and provably good heuristics for a number of classical np - hard optimization problems on unit disk graphs. the problems considered include maximum independent set, minimum vertex cover, minimum coloring and minimum domin...
arxiv:math/9409226
the hotelling game consists of n servers each choosing a point on the line segment, so as to maximize the amount of clients it attracts. clients are uniformly distributed along the line, and each client buys from the closest server. in this paper, we study a fault - prone version of the hotelling game, where the line f...
arxiv:1907.06602
fractional evolution equations lack generally accessible and well - converged codes excepting anomalous diffusion. a particular equation of strong interest to the growing intersection of applied mathematics and quantum information science and technology is the fractional schr \ " odinger equation, which describes sub -...
arxiv:2403.07233
we propose elliptic power and power parameterizations for the probability distribution of initial state anisotropies in heavy - ion collisions. by assuming a linear eccentricity scaling, the new parameterizations can also be applied to fluctuations of harmonic flow. in particular, we analyze flow multi - particle cumul...
arxiv:1408.0709
to obtain a better understanding of the trade - offs between various objectives, bi - objective integer programming ( boip ) algorithms calculate the set of all non - dominated vectors and present these as the solution to a boip problem. historically, these algorithms have been compared in terms of the number of single...
arxiv:1701.08920
the milky way galaxy glows with the soft gamma ray emission resulting from the annihilation of $ \ sim 5 \ times 10 ^ { 43 } $ electron - positron pairs every second. the origin of this vast quantity of antimatter and the peculiar morphology of the 511kev gamma ray line resulting from this annihilation have been the su...
arxiv:1609.04893
in classical matrix theory, there exist useful extremal characterizations of eigenvalues and their sums for hermitian matrices ( due to ky fan, courant - fischer - weyl and wielandt ) and some consequences such as the majorization assertion in lidskii ' s theorem. in this paper, we extend these results to the context o...
arxiv:1210.7581
diffusion limited aggregation is studied from the perspective of computational complexity. a parallel algorithm is exhibited that requires a number of steps that scales as the depth of the tree defined by the cluster. the existence of this algorithm suggests a connection between a fundamental computational and structur...
arxiv:cond-mat/0309519
using a three - dimensional nonlinear hydrodynamic code, we examine the dynamical stability of more than twenty self - gravitating, compressible, ellipsoidal fluid configurations that initially have the same velocity structure as riemann s - type ellipsoids. our focus is on ` ` adjoint ' ' configurations, in which inte...
arxiv:astro-ph/0702750
it is known that lorentz covariance fixes uniquely the current and the associated guidance law in the trajectory interpretation of quantum mechanics for spin particles. in the non - relativistic domain this implies a guidance law for the electron which differs by an additional spin - dependent term from that originally...
arxiv:quant-ph/0302076
the nonlinear component of the optomechanical interaction between light and mechanical vibration promises many exciting classical and quantum mechanical applications, but is generally weak. here we demonstrate enhancement of nonlinear optomechanical measurement of mechanical motion by using pairs of coupled optical and...
arxiv:2207.11114
it is shown that q - deformed quantum mechanics ( q - deformed heisenberg algebra ) can be interpreted as quantum mechanics on kaehler manifolds, or as a quantum theory with second ( or first - ) class constraints. ( saclay, t93 / 027 ).
arxiv:hep-th/9403042
the semi - classical study of the integer quantum hall conductivity is investigated for electrons in a bi - periodic potential $ v ( x, y ) $. the hall conductivity is due to the tunnelling effect and we concentrate our study to potentials having three wells in a periodic cell. a non - zero topological conductivity req...
arxiv:cond-mat/9805086
an electrostatic lens with three focusing elements in an alternating - gradient configuration is used to focus a fountain of cesium atoms in their ground ( strong - field - seeking ) state. the lens electrodes are shaped to produce only sextupole plus dipole equipotentials which avoids adding the unnecessary nonlinear ...
arxiv:physics/0603127
these are the proceedings of the international workshop on " nuclear dynamics with effective field theories " held at ruhr - universitaet bochum, germany from july 1 to 3, 2013. the workshop focused on effective field theories of low - energy qcd, chiral perturbation theory for nuclear forces as well as few - and many ...
arxiv:1309.5820
the direct geodesic problem on an oblate spheroid is described as an initial value problem and is solved numerically in geodetic and cartesian coordinates. the geodesic equations are formulated by means of the theory of differential geometry. the initial value problem under consideration is reduced to a system of first...
arxiv:1612.01357
ocean ecosystems have spatiotemporal variability and dynamic complexity that require a long - term deployment of an autonomous underwater vehicle for data collection. a new long - range autonomous underwater vehicle called tethys is adapted to study different oceanic phenomena. additionally, an ocean environment has ex...
arxiv:1911.09581
we introduce a multimodel approach to solve coupled cluster equations, employing a quasi newton algorithm for the ground state and an olsen algorithm for the excited states. in these algorithms, both of which can be viewed as newton algorithms, the jacobian matrix of a lower level coupled cluster model is used in newto...
arxiv:2004.07773
advancing llm reasoning skills has captivated wide interest. however, current post - training techniques rely heavily on supervisory signals, such as outcome supervision or auxiliary reward models, which face the problem of scalability and high annotation costs. this motivates us to enhance llm reasoning without the ne...
arxiv:2504.08672
two - dimensional van der waals janus materials and their heterostructures offer fertile platforms for designing fascinating functionalities. here, by means of systematic first - principles studies on van der waals janus monolayer cr - based dichalcogenide halides cryx ( y = s, se, te ; x = cl, br, i ), we find that cr...
arxiv:2205.04053
this contribution describes the reorientation of the magnetization of thin ferromagnetic heisenberg films as function of the temperature and / or an external field. working in a rotating frame allows an exact treatment of the single - ion anisotropy when going to higher - order green ' s functions. terms due to the exc...
arxiv:cond-mat/0605331
in decentralized cloud computing marketplaces, ensuring fair and efficient interactions among asset providers and end - users is crucial. a key concern is meeting agreed - upon service - level objectives like the service ' s reliability. in this decentralized context, traditional mechanisms often fail to address the co...
arxiv:2503.19055
we study $ ads _ 5 \ times \ sigma _ 2 $ and $ ads _ 4 \ times \ sigma _ 3 $ solutions of $ n = 2 $, $ so ( 4 ) $ gauged supergravity in seven dimensions with $ \ sigma _ { 2, 3 } $ being $ s ^ { 2, 3 } $ or $ h ^ { 2, 3 } $. the $ so ( 4 ) $ gauged supergravity is obtained from coupling three vector multiplets to the ...
arxiv:1503.04997
we consider probabilistic multinomial probit classification using gaussian process ( gp ) priors. the challenges with the multiclass gp classification are the integration over the non - gaussian posterior distribution, and the increase of the number of unknown latent variables as the number of target classes grows. exp...
arxiv:1207.3649
in two - dimensional dilaton gravity theories, there may exist a global weyl invariance which makes black hole spurious. if the global invariance and the local weyl invariance of the matter coupling are intact at the quantum level, there is no hawking radiation. we explicitly verify the absence of anomalies in these sy...
arxiv:hep-th/9308095
verifiers that can prove programs correct against their full functional specification require, for programs with loops, additional annotations in the form of loop invariants - - - propeties that hold for every iteration of a loop. we show that significant loop invariant candidates can be generated by systematically mut...
arxiv:1407.5286
this paper investigates the optimal formation control problem of a class of nonlinear multi - agent systems ( mass ) under denial - of - service ( dos ) attacks. we design the optimal formation control law using an event - triggered control scheme to achieve formation objectives under dos attacks. critic neural network...
arxiv:2504.14874
impulse formulations of the euler ( and navier - stokes ) equations were considered by kuz ' min [ 1 ] and oseledets [ 2 ] and different impulse formulations are produced by various gauge transformations ( russo and smereka [ 3 ] ). the extension of the kuz ' min - oseledets formulation to the compressible, barotropic ...
arxiv:1812.09294
high dimensional quantum entanglement and the advancements in their experimental realization provide a playground for fundamental research and eventually lead to quantum technological developments. the horodecki criterion determines whether a state violates clauser - horne - shimony - holt ( chsh ) inequality for a two...
arxiv:2408.10350
we study the reward - free reinforcement learning framework, which is particularly suitable for batch reinforcement learning and scenarios where one needs policies for multiple reward functions. this framework has two phases. in the exploration phase, the agent collects trajectories by interacting with the environment ...
arxiv:2010.05901
the innovative application of precise geospatial vegetation forecasting holds immense potential across diverse sectors, including agriculture, forestry, humanitarian aid, and carbon accounting. to leverage the vast availability of satellite imagery for this task, various works have applied deep neural networks for pred...
arxiv:2303.16198
neural metamorphosis ( neumeta ) is a recent paradigm for generating neural networks of varying width and depth. based on implicit neural representation ( inr ), neumeta learns a continuous weight manifold, enabling the direct generation of compressed models, including those with configurations not seen during training...
arxiv:2505.05510
we provide new representations for the finite parts at the poles and the derivative at zero of the barnes zeta function in any dimension in the general case. these representations are in the forms of series and limits. we also give an integral representation for the finite parts at the poles. similar results are derive...
arxiv:1703.04817
malicious document files used in targeted attacks often contain a small program called shellcode. it is often hard to prepare a runnable environment for dynamic analysis of these document files because they exploit specific vulnerabilities. in these cases, it is necessary to identify the position of the shellcode in ea...
arxiv:1806.05328
the 17o ( p, g ) 18f reaction plays an important role in hydrogen burning processes in different stages of stellar evolution. the rate of this reaction must therefore be known with high accuracy in order to provide the necessary input for astrophysical models. the cross section of 17o ( p, g ) 18f is characterized by a...
arxiv:1703.03184
although deep learning has made remarkable progress in processing various types of data such as images, text and speech, they are known to be susceptible to adversarial perturbations : perturbations specifically designed and added to the input to make the target model produce erroneous output. most of the existing stud...
arxiv:2301.01223
we show that the perturbation series for quarkonia energies diverges at large orders. this results in a perturbative ambiguity in the energy that scales as e ^ ( - 1 / a * lambda ) where a is the bohr radius of quarkonium and lambda is the qcd scale parameter. this ambiguity is associated with a nonperturbative contrib...
arxiv:hep-ph/9707525
lattice qcd indicates a large amount of entropy associated with the heavy quark - antiquark pair immersed in the quark - gluon plasma. this entropy grows as a function of the inter - quark distance giving rise to an entropic force that can be very effective in dissociating the bound quarkonium states. in addition, the ...
arxiv:1411.0618
extended version of lectures given at the university of karlsruhe and at calc - 2000 school in dubna. properties of hqet as a field theory, methods of calculation of hqet diagrams and some simple applications are explained in detail. these lectures can be used as an additional chapter with any modern qcd textbook.
arxiv:hep-ph/0008300
we present numerical evidence that most two - dimensional surface states of a bulk topological superconductor ( tsc ) sit at an integer quantum hall plateau transition. we study tsc surface states in class ci with quenched disorder. low - energy ( finite - energy ) surface states were expected to be critically delocali...
arxiv:1711.03972
motivated by the ability to consistently apply the ryu - takayanagi prescription for general convex surfaces and the relationship between entanglement and geometry in tensor networks, we introduce a novel, covariant bulk object - the holographic slice. the holographic slice is found by considering the continual removal...
arxiv:1805.00523
accurate gait event detection is crucial for gait analysis, rehabilitation, and assistive technology, particularly in exoskeleton control, where precise identification of stance and swing phases is essential. this study evaluated the performance of seven kinematics - based methods and a long short - term memory ( lstm ...
arxiv:2503.00794
we study the implications for generating the cosmological baryon asymmetry through leptogenesis in the recent model of fileviez perez and wise, which provides a new mechanism for generating neutrino masses at one - loop by introducing new color octet fermion and scalar fields. we find that there are significant differe...
arxiv:0909.0648
we study scenarios where loop processes give the dominant contributions to dark matter decay or annihilation despite the presence of tree level channels. we illustrate this possibility in a specific model where dark matter is part of a hidden sector that communicates with the standard model sector via a heavy neutrino ...
arxiv:1912.05581
using an operator approach based on a commutator scheme that has been previously applied to richardson ' s reduced bcs model and the inhomogeneous dicke model, we obtain general exact solvability requirements for an anisotropic central spin model with $ xxz $ - type hyperfine coupling between the central spin and the s...
arxiv:1802.06490
the origin of atmospheric heating in the cool, magnetic white dwarf gd 356 remains unsolved nearly 40 years after its discovery. this once idiosyncratic star with $ t _ { \ rm eff } \ approx7500 $ k, yet balmer lines in zeeman - split emission is now part of a growing class of white dwarfs exhibiting similar features, ...
arxiv:2407.19289
we develop a new approach to the representation theory of quantum algebras supporting a torus action via methods from the theory of finite - state automata and algebraic combinatorics. we show that for a fixed number $ m $, the torus - invariant primitive ideals in $ m \ times n $ quantum matrices can be seen as a regu...
arxiv:0901.4707
the study of high - redshift objects is rapidly developing, allowing to build the star formation history of the universe. since most of the flux from starbursts comes out in the fir region, the submm and mm are privileged domains for the exploration at high z. i review the recent work on galaxies at high redshift in th...
arxiv:astro-ph/9909016
a canonical lorentz invariant field theory extension of collective field theory of d = 1 matrix models is presented. we show that the low density, discrete, sector of collective field theory includes single eigenvalue euclidean instantons which tunnel between different vacua of the extended theory. these " stringy " in...
arxiv:hep-th/9209045
revisiting pca for time series reduction in temporal dimension ; jiaxin gao, wenbo hu, yuntian chen ; deep learning has significantly advanced time series analysis ( tsa ), enabling the extraction of complex patterns for tasks like classification, forecasting, and regression. although dimensionality reduction has tradi...
arxiv:2412.19423
visco - energetic solutions have been recently advanced as a new solution concept for rate - independent systems, alternative to energetic solutions / quasistatic evolutions and balanced viscosity solutions. in the spirit of this novel concept, we revisit the analysis of the variational model proposed by francfort and ...
arxiv:2105.00046
hall coefficient $ r _ h $ and thermoelectric power tep are studied systematically in the single crystals $ nd _ { 2 - x } ce _ xcuo _ { 4 + \ delta } $ ( ncco ) with different x from underdoped to overdoped regime. with increasing doping level, both $ r _ h $ and tep decrease and change their sign from negative to pos...
arxiv:cond-mat/0506681
human - created engines and evolutionarily optimized molecular motors exhibit sophisticated design in order to harvest chemical or thermal energy for generating unidirectional motion. the complexity of these motors makes their random emergence unlikely. molecules capable of locomotion, however, seem to be essential to ...
arxiv:1605.09142
we perform a comparative study between the only radio detected type i superluminous supernova ( slsn ) ptf10hgi, and the most active repeating fast radio burst frb121102. this study has its root in the hypothesized frb - slsn connection that states that magnetars born in slsn can power frbs. the wideband spectrum ( 0. ...
arxiv:2008.11375
optimal transport ( ot ) is being widely used in various fields such as machine learning and computer vision, as it is a powerful tool for measuring the similarity between probability distributions and histograms. in previous studies, ot has been defined as the minimum cost to transport probability mass from one probab...
arxiv:2006.08866
the spectral features of hd 94509 are highly unusual, adding an extreme to the zoo of be and shell stars. the shell dominates the spectrum, showing lines typical for spectral types mid - a to early - f, while the presence of a late / mid b - type central star is indicated by photospheric hydrogen line wings and helium ...
arxiv:1503.08317
we study the volume averaging of inhomogeneous metrics within gr and discuss its shortcomings such as gauge dependence, singular behavior as a result of caustics, and causality violations. to remedy these shortcomings, we suggest some modifications to this method. as a case study we focus on the inhomogeneous structure...
arxiv:0709.2558
we prove a contact non - squeezing result for a class of embeddings between starshaped domains in the contactization of the symplectization of the unit cotangent bundle of certain manifolds. the class of embeddings includes embeddings which are not isotopic to the identity. this yields a new proof that there is no posi...
arxiv:2212.13352
in order to explore electric - field - induced transformations of polarization singularities in the polarization - resolved angular ( conoscopic ) patterns emerging after deformed helix ferroelectric liquid crystal ( dhflc ) cells with subwavelength helix pitch, we combine the transfer matrix formalism with the results...
arxiv:1407.3534
we study a semiclassical inverse spectral problem based on a spectral asymptotics result of arxiv : math / 0502032, which applies to small non - selfadjoint perturbations of selfadjoint $ h $ - pseudodifferential operators in dimension 2. the eigenvalues in a suitable complex window have an expansion in terms of a quan...
arxiv:1001.5132
we address in this review unified analysis of phase - field models for cohesive fracture. aiming to regularize the barenblatt ( 1959 ) cohesive zone model, all the discussed models are distinguished by three characteristic functions, i. e., the geometric function dictating the crack profile, the degradation function fo...
arxiv:2412.03836
in the second edition of the congruence lattice book, problem 22. 1 asks for a characterization of subsets $ q $ of a finite distributive lattice $ d $ such that there is a finite lattice $ l $ whose congruence lattice is isomorphic to $ d $ and under this isomorphism $ q $ corresponds the the principal congruences of ...
arxiv:1705.05319
we present the notion of non - abelian descent type, which classifies torsors up to twisting by a galois cocycle. this relies on the previous construction of kernels and non - abelian galois 2 - cohomology due to springer and borovoi. the necessity of descent types arises in the context of the descent theory where no t...
arxiv:2401.00340
in order to perform faster simulations, the model reduction is nowadays used in industrial contexts to solve large and complex problems. however, the efficiency of such an approach is sometimes cut by the interface size of the reduced model and its reusability. in this article, we focus on the development of a reductio...
arxiv:1903.02943
a new state of the h $ _ 2 ^ + $ molecular ion with binding energy of 1. 09 $ \ times10 ^ { - 9 } $ a. u. below the first dissociation limit is predicted, using highly accurate numerical nonrelativistic quantum calculations. it is the first l = 0 excited state, antisymmetric with respect to the exchange of the two prot...
arxiv:physics/0207007
events = = 22 june – the royal observatory greenwich will celebrate its 350th anniversary. september – nasa will launch its pandora mission, which aims to observe 20 stars and their 39 exoplanets. = = = date unknown = = = nasa ' s imap probe will launch toward lagrange point 1 to collect interstellar dust and investiga...
https://en.wikipedia.org/wiki/2025_in_science
extended 21cm absorption regions ( dubbed ` ` 21cm absorption halos ' ' ) around first galaxies at $ z \ sim 30 $ are likely the first distinctive structures accessible to radio observations. though the radio array capable of detecting and resolving them must have $ \ sim 200 $ km $ ^ 2 $ total collecting area, given t...
arxiv:astro-ph/0608271
we show that the sigma models with target spaces supersymmetric heterotic backgrounds with $ su ( 2 ) $ and $ su ( 3 ) $ holonomy are invariant under a w - symmetry algebra generated by the covariantly constant forms of these backgrounds. the closure of the w - algebra requires additional generators which we identify. ...
arxiv:2305.19793