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pp. 167 – 184, doi : 10. 1017 / cbo9781139028172. 009, isbn 978 - 1 - 107 - 01439 - 8 schofield, malcolm ( 2014 ), " archytas ", in huffman, carl a. ( ed. ), a history of pythagoreanism, cambridge university press, pp. 69 – 87, doi : 10. 1017 / cbo9781139028172. 009, isbn 978 - 1 - 107 - 01439 - 8 = = further reading =...
https://en.wikipedia.org/wiki/Ancient_Greek_mathematics
we develop analogues of the primal and mixed variational formulations of the conservation laws describing transport of scalar physical properties for topological spaces referred to as cell complexes. the development is restricted to cell complexes with cells having connectivity of simple polytopes. such spaces are suit...
arxiv:2505.09443
the study of nonlinear waves that collapse in finite time is a theme of universal interest, e. g. within optical, atomic, plasma physics, and nonlinear dynamics. here we revisit the quintessential example of the nonlinear schrodinger equation and systematically derive a normal form for the emergence of blowup solutions...
arxiv:2008.08968
let g be a complex simple lie algebra, f a nilpotent element of g. we show that ( 1 ) the center of the w - algebra $ w ^ { cri } ( g, f ) $ associated with ( g, f ) at the critical level coincides with the feigin - frenkel center of the affine lie algebra associated with g, ( 2 ) the centerless quotient $ w _ { \ chi ...
arxiv:1111.6329
recently, the higher order statistics ( hos ) and sparsity based array are most talked about techniques to estimate the direction of arrival ( doa ). they not only provide enhanced degree of freedom ( dof ) to handle underdetermined cases but also improve the estimation accuracy of the system. to achieve high accuracy ...
arxiv:1711.05923
an \ emph { acyclic coloring } of a graph is a proper vertex coloring such that the union of any two color classes induces a disjoint collection of trees. the more restricted notion of \ emph { star coloring } requires that the union of any two color classes induces a disjoint collection of stars. we prove that every a...
arxiv:1103.5531
gravitational wave astronomy pipelines rely on template waveform models for searches and parameter estimation purposes. for coalescing binary neutron stars ( bns ), such models need to accurately reproduce numerical relativity ( nr ) up to merger, in order to provide robust estimate of the stars ' equation of state - d...
arxiv:2307.15125
we perform ab - initio calculations on bi $ _ \ mathrm { { se } } $ antisite defects in the surface of bi $ _ 2 $ se $ _ 3 $, finding strong low - energy defect resonances with a spontaneous ferromagnetism, fixed to an out - of - plane orientation due to an exceptional large magnetic anisotropy energy. for antisite def...
arxiv:2002.03962
fractal structures appear in a vast range of physical systems. a literature survey including all experimental papers on fractals which appeared in the six physical review journals ( a - e and letters ) during the 1990 ' s shows that experimental reports of fractal behavior are typically based on a scaling range $ \ del...
arxiv:cond-mat/9801127
an n - vertex graph is called c - ramsey if it has no clique or independent set of size c log n. all known constructions of ramsey graphs involve randomness in an essential way, and there is an ongoing line of research towards showing that in fact all ramsey graphs must obey certain " richness " properties characterist...
arxiv:1711.02937
we study the scaling properties of the solid - on - solid front of the infinite cluster in two - dimensional gradient percolation. we show that such an object is self affine with a hurst exponent equal to 2 / 3 up to a cutoff - length proportional to the gradient to the power ( - 4 / 7 ). beyond this length scale, the ...
arxiv:cond-mat/0511545
we investigate the van der waals friction between graphene and an amorphous sio $ _ 2 $ substrate. we find that due to this friction the electric current is saturated at a high electric field, in agreement with experiment. the saturation current depends weakly on the temperature, which we attribute to the quantum frict...
arxiv:1409.0145
this paper presents a compact system, openpneu, to support the pneumatic actuation for multi - chambers on soft robots. micro - pumps are employed in the system to generate airflow and therefore no extra input as compressed air is needed. our system conducts modular design to provide good scalability, which has been de...
arxiv:2209.11318
in the present paper, we investigate three scalar fields, \ qu field, phantom field and tachyon field, to explore the source of dark energy, using the gaussian processes method from the background data and perturbation growth rate data. the corresponding reconstructions all suggest that the dark energy should be dynami...
arxiv:1809.08936
the paper proposes a new recursive filter for non - linear systems that inherently computes a valid bound on the mean square estimation error. the proposed filter, bound based extended kalman, ( bekf ) is in the form of an extended kalman filter. the main difference of the proposed filter from the conventional extended...
arxiv:1410.0287
anomaly detection based on 3d point cloud data is an important research problem and receives more and more attention recently. untrained anomaly detection based on only one sample is an emerging research problem motivated by real manufacturing industries such as personalized manufacturing that only one sample can be co...
arxiv:2502.03876
lipid bilayer membranes are not uniform and clusters of lipids in a more ordered state exist within the generally disorder lipid milieu of the membrane. these clusters of ordered lipids microdomains are now referred to as lipid rafts. recent reports attribute the formation of these microdomains to the geometrical and m...
arxiv:1611.00103
a quantum dot formed in a suspended carbon nanotube exposed to an external magnetic field is predicted to act as a thermoelectric unipolar spin battery which generates pure spin current. the built - in spin flip mechanism is a consequence of the spin - vibration interaction resulting from the interplay between the intr...
arxiv:1702.07616
quantum annealing ( qa ) has emerged as a powerful technique to solve optimization problems by taking advantages of quantum physics. in qa process, a bottleneck that may prevent qa to scale up is minor embedding step in which we embed optimization problems represented by a graph, called logical graph, to quantum proces...
arxiv:2307.01843
we use the observed sizes and star formation rates of lyman - break galaxies ( lbgs ) to understand their properties expected in the hierarchical scenario of galaxy formation. the observed size distribution constrains the masses of the host haloes of lbgs from below, while the observed star - formation distribution con...
arxiv:astro-ph/0102436
we consider the problems of language inclusion and language equivalence for vector addition systems with states ( vass ) with the acceptance condition defined by the set of accepting states ( and more generally by some upward - closed conditions ). in general, the problem of language equivalence is undecidable even for...
arxiv:2202.08033
we obtain the quantum phase diagram of the ionic hubbard model including electron - hole symmetric density - dependent hopping. the boundaries of the phases are determined by crossing of excited levels with particular discrete symmetries, which coincide with jumps of charge and spin berry phases with a topological mean...
arxiv:2304.04563
in this paper we present observations, simulations, and analysis demonstrating the direct connection between the location of foreground emission on the sky and its location in cosmological power spectra from interferometric redshifted 21 cm experiments. we begin with a heuristic formalism for understanding the mapping ...
arxiv:1601.06177
we study the possibility of using an uniformly coupled finite antiferromagnetic spin - 1 / 2 heisenberg chain as a channel for transmitting entanglement. one member of a pair of maximally entangled spins is initially appended to one end of a chain in its ground state and the dynamical propagation of this entanglement t...
arxiv:0706.4176
in this paper, we investigate the holographic phase transition with dark matter sector in the ads black hole background away from the probe limit. we disclose the properties of phases mostly from the holographic topological entanglement entropy of the system. we find the entanglement entropy is a good probe to the crit...
arxiv:1507.07399
given a real abelian field f with group g and an odd prime number { \ ell }, we define the circular subgroup of the pro - { \ ell } - group of logarithmic units and we show that for any galois morphism $ \ rho $ from the pro - { \ ell } - group of logarithmic units to z { \ ell } [ g ], the image of the circular subgro...
arxiv:2003.12301
this paper deals with the control generation of right linear grammars with unknown behaviors ( rlubs, for short ) in which derivation behavior is not determined completely. in particular, we consider a physical property of control devices used in control systems and formulate it as a partial order over control alphabet...
arxiv:2403.04301
) $. and finally, we show that the running time of our new algorithm is at most $ g ( k ) \ exp [ - c ( k \ log \ log k ) / ( \ log k ) ^ 2 ( 1 + o ( 1 ) ) ] $ for a constant $ c > 0 $.
arxiv:1907.08559
the radio frequency ( rf ) superconducting quantum interference device ( squid ) is a highly nonlinear oscillator exhibiting rich dynamical behavior. it has been studied for many years and it has found numerous applications in magnetic field sensors, in biomagnetism, in non - destructive evaluation, and gradiometers, a...
arxiv:1712.10244
utilization of non - linear tools to characterize the state of development of the electricity markets in italy and greece. this is equivalent to testing the efficient market hypothesis on these markets. the tools include a variety of complexity measures like maximal lyapunov and hurst exponents and hhi index for market...
arxiv:1711.10552
we show that for any integer $ t \ geq 2 $, every properly edge - coloured graph on $ n $ vertices with more than $ n ^ { 1 + o ( 1 ) } $ edges contains a rainbow subdivision of $ k _ t $. note that this bound on the number of edges is sharp up to the $ o ( 1 ) $ error term. this is a rainbow analogue of some classical...
arxiv:2106.13803
we consider the family of one - dimensional maps arising from the contracting lorenz attractors studied by rovella. benedicks - carleson techniques were used by rovella to prove that there is a one - parameter family of maps whose derivatives along their critical orbits increase exponentially fast and the critical orbi...
arxiv:1205.5639
non - equilibrium molecular dynamics simulations, of crucial importance in sliding friction, are hampered by arbitrariness and uncertainties in the way joule heat is removed. we implement in a realistic frictional simulation a parameter - free, non - markovian, stochastic dynamics, which, as expected from theory, absor...
arxiv:1008.1711
let $ p > 3 $ be a prime, and let $ a $ be a rational p - adic integer with $ a \ not \ equiv 0 \ pmod p $. in this paper we establish congruences for $ $ \ sum _ { k = 1 } ^ { ( p - 1 ) / 2 } \ frac { \ binom ak \ binom { - 1 - a } k } k, \ quad \ sum _ { k = 0 } ^ { ( p - 1 ) / 2 } k \ binom ak \ binom { - 1 - a } k ...
arxiv:1605.09179
in this work, we are interested in a non symmetric homogeneous space, namely $ so ( 2m ) / sp ( m ) $. we show that this space admits a structure of $ z _ 2 ^ 2 $ - symmetric space. we describe all the non degenerated metrics and classify the riemannian and lorentzian ones.
arxiv:0704.1541
methylammonium lead iodide ( ch3nh3pbi3 ) perovskite solar cell has produced a remarkable breakthrough in the photovoltaic history of solar cell technology because of its outstanding device based performance as a light - harvesting semiconductor. whereas the experimental and theoretical studies of this system in the so...
arxiv:1703.10286
the influence of raman scattering and higher order dispersions on solitons and frequency comb generation in silica microring resonators is investigated. the raman effect introduces a threshold value in the resonator quality factor above which the frequency locked solitons can not exist and, instead, a rich dynamics cha...
arxiv:1503.00672
we develop a unified, information theoretic interpretation of the number - phase complementarity that is applicable both to finite - dimensional ( atomic ) and infinite - dimensional ( oscillator ) systems, with number treated as a discrete hermitian observable and phase as a continuous positive operator valued measure...
arxiv:0905.3269
we study distorted metrics on binary trees in the context of phylogenetic reconstruction. given a binary tree $ t $ on $ n $ leaves with a path metric $ d $, consider the pairwise distances $ \ { d ( u, v ) \ } $ between leaves. it is well known that these determine the tree and the $ d $ length of all edges. here we c...
arxiv:math/0403508
the most discussed of ` ` live ' ' metaphors in physical sciences is that of the schr \ " odinger cat. introduced in the early, but mature days of the new quantum theory, in 1935, the parable of the cat has provoked and enlivened debates on the meaning of the quantum theory, on the ontology of the quantum wavefunction,...
arxiv:2107.10241
semantic segmentation requires extensive pixel - level annotation, motivating unsupervised domain adaptation ( uda ) to transfer knowledge from labelled source domains to unlabelled or weakly labelled target domains. one of the most efficient strategies involves using synthetic datasets generated within controlled virt...
arxiv:2412.16859
in the paper the memory effect in the system consisting from a trajectory of process and an environment is considered. the environment is presented by scalar potential and noise. the evolution of system is interpreted as process of the continuous " measurement " of a trajectory by an environment and \ or on the contrar...
arxiv:0708.1483
i train models for the task of neural machine translation for english - hungarian and hungarian - english, using the hunglish2 corpus. the main contribution of this work is evaluating different data augmentation methods during the training of nmt models. i propose 5 different augmentation methods that are structure - a...
arxiv:2111.04099
we report an exact analytical solution of so - called positron diffusion trapping model. this model have been widely used for the treatment of the experimental data for defect profiling of the adjoin surface layer using the variable energy positron ( vep ) beam technique. hovewer, up to now this model could be treated ...
arxiv:1308.0685
in this work, we consider a random access internet of things iot wireless network assisted by two aggregators collecting information from two disjoint groups of sensors. the nodes and the aggregators are transmitting in a random access manner under slotted time, the aggregators perform network - level cooperation for t...
arxiv:1806.10200
the martensitic transformation in new - type all - d - metal heusler alloys pd2mnti and pt2mnti have been investigated based on first - principles investigations. the calculated results indicate that the martenstic transformation have great possibility to occur in both pd2mnti and pt2mnti. the energy differences betwee...
arxiv:1910.13075
we propose and benchmark a gross - pitaevskii - like equation for two - component bose mixtures with competing interactions in 1d. our approach follows the density - functional theory with the energy functional based on the exact quantum monte carlo ( qmc ) simulations. our model covers, but goes beyond, the popular ap...
arxiv:2301.04417
transliterations play an important role in multilingual entity reference resolution, because proper names increasingly travel between languages in news and social media. previous work associated with machine translation targets transliteration only single between language pairs, focuses on specific classes of entities ...
arxiv:1611.06722
korea astronomy and space science institute ( kasi ) has been developing a next - generation coronagraph ( ngc ) in cooperation with nasa to measure the coronal electron density, temperature, and speed simultaneously using four different filters around 400 nm. kasi organized an expedition team to demonstrate the corona...
arxiv:2006.06155
we construct continuous - time equilibrium models based on a finite number of exponential utility investors. the investors ' income rates as well as the stock ' s dividend rate are governed by discontinuous levy processes. our main result provides the equilibrium ( i. e., bond and stock price dynamics ) in closed - for...
arxiv:1507.02974
i discuss three aspects of the notion of agency from the standpoint of physics : ( i ) what makes a physical system an agent ; ( ii ) the reason for agency ' s time orientation ; ( iii ) the source of the information generated in choosing an action. i observe that agency is the breaking of an approximation under which ...
arxiv:2007.05300
effective and efficient graph representation learning is essential for enabling critical downstream tasks, such as node classification, link prediction, and subgraph search. however, existing graph neural network ( gnn ) architectures often struggle to adapt to diverse and complex graph structures, limiting their abili...
arxiv:2504.21254
the two - dimensional transition - metal dichalcogenides ( 2d tmdcs ) are an intriguing platform for studying light - matter interactions because they combine the electronic properties of conventional semiconductors with the optical resonances found in organic systems. however, the coupling strengths demonstrated in st...
arxiv:2204.13768
adversarial approach has been widely used for data generation in the last few years. however, this approach has not been extensively utilized for classifier training. in this paper, we propose an adversarial framework for classifier training that can also handle imbalanced data. indeed, a network is trained via an adve...
arxiv:1811.08812
we calculate the non - zero ( na \ " { i } ve ) t - odd transverse momentum dependent transversity distribution $ h _ 1 ^ { \ perp } ( x, \ kp ^ 2 ) $ of the pion in a quark - spectator - antiquark model. the final - state interaction is modelled by the approximation of one gluon exchange between the quark and the anti...
arxiv:hep-ph/0411043
we show that, in general, there exist non - vanishing triple massey products in the cohomology with finite field coefficients of a complex hypersurface complement. in contrast, the massey products, triple and higher, in the rational cohomology of such a space are all known to vanish.
arxiv:math/0505391
this paper represents a theoretical and an experimental study of the spreading dynamics of a liquid droplet, generated by a needle free deposition system called the liquid needle droplet deposition technique. this technique utilizes a continuous liquid jet generated from a pressurized dosing system which generates a li...
arxiv:2010.01154
an improved amati correlation was constructed in ( apj 931 ( 2022 ) 50 ) by us recently. in this paper, we further study constraints on the $ \ lambda $ cdm and $ w $ cdm models from the gamma ray bursts ( grbs ) standardized with the standard and improved amati correlations, respectively. by using the pantheon type ia...
arxiv:2207.00455
using the analytical expressions for the genuine eigenfunctions $ \ varphi _ { \ mu \ nu } ( z ) $ and eigenvalues $ e _ { \ mu, \ nu } $, of open, bounded and quasi - bounded finite periodic systems, we derive the eigenfunctions space - inversion symmetry relations. the superlattice eigenfunctions symmetries, closely ...
arxiv:1607.02685
quantum networks enable a broad range of practical and fundamental applications spanning distributed quantum computing to sensing and metrology. a cornerstone of such networks is an interface between telecom photons and quantum memories. here we demonstrate a novel approach based on cavity optomechanics that utilizes t...
arxiv:2102.04597
a large, high - quality spectral data base of well - selected, moderate - redshift radio - loud and radio - quiet quasars is used to characterize the incidence of narrow associated civ lambda 1549 absorption, and how this may depend on some quasar properties, including radio - type. preliminary results of this study ar...
arxiv:astro-ph/0109382
in the rotational sandpile model, either the clockwise or the anti - clockwise toppling rule is assigned to all the lattice sites. it has all the features of a stochastic sandpile model but belongs to a different universality class than the manna class. a crossover from rotational to manna universality class is studied...
arxiv:1501.01748
big data analysis has become a crucial part of new emerging technologies such as the internet of things, cyber - physical analysis, deep learning, anomaly detection, etc. among many other techniques, dimensionality reduction plays a key role in such analyses and facilitates feature selection and feature extraction. ran...
arxiv:2001.07124
laminar - turbulent intermittency is intrinsic to the transitional regime of a wide range of fluid flows including pipe, channel, boundary layer and couette flow. in the latter turbulent spots can grow and form continuous stripes, yet in the stripe - normal direction they remain interspersed by laminar fluid. we carry ...
arxiv:1304.5446
we study three - dimensional $ \ mathcal { n } = 2 $ supersymmetric gauge theories on $ \ mathcal { m } _ { g, p } $, an oriented circle bundle of degree $ p $ over a closed riemann surface, $ \ sigma _ g $. we compute the $ \ mathcal { m } _ { g, p } $ supersymmetric partition function and correlation functions of sup...
arxiv:1701.03171
under the multi - objective framework, this paper presents a hybrid algorithm to solve robust static output feedback control problem for continuous poly - topic uncertain system. to obtain static output feedback gain, a new hybrid algorithm is proposed by combination of a hybrid algorithm of the particle swarm optimiza...
arxiv:1603.02426
in this letter we report a thorough analysis of the exciton dispersion in bulk hexagonal boron nitride. we solve the ab initio gw bethe - salpeter equation at finite $ \ mathbf { q } \ parallel \ gamma k $, and we compare our results with recent high - accuracy electron energy loss data. simulations reproduce the measu...
arxiv:1709.07397
this paper presents a statistical forward model for a compton imaging system, called compton imager. this system, under development at the university of illinois urbana champaign, is a variant of compton cameras with a single type of sensors which can simultaneously act as scatterers and absorbers. this imager is conve...
arxiv:2402.07676
two - sided group digraphs and graphs, introduced by iradmusa and praeger, provide a generalization of cayley digraphs and graphs in which arcs are determined by left and right multiplying by elements of two subsets of the group. we characterize when two - sided group digraphs and graphs are weakly and strongly connect...
arxiv:1705.05827
large language models ( llms ) have demonstrated the ability to solve complex tasks through in - context learning ( icl ), where models learn from a few input - output pairs without explicit fine - tuning. in this paper, we explore the capacity of llms to solve non - linear numerical computations, with specific emphasi...
arxiv:2411.15675
domain - specific languages raise the level of abstraction in software development. while it is evident that programmers can more easily reason about very high - level programs, the same holds for compilers only if the compiler has an accurate model of the application domain and the underlying target platform. since ma...
arxiv:1109.0778
in contrast to electrodynamics, einstein ' s gravitation equations are not invariant with respect to a wide class of the mapping of field variables which leave equations of motion of test particles in a given coordinate system invariant. it seems obvious enough that just these mappings should play a role of gauge trans...
arxiv:0805.2688
we propose how to generate macroscopic quantum superposition states using a microwave cavity containing a superconducting charge qubit. based on the measurement of charge states, we show that the superpositions of two macroscopically distinguishable coherent states of a single - mode cavity field can be generated by a ...
arxiv:quant-ph/0406058
we propose a scheme to dynamically create a supersolid state in an optical lattice, using an attractive mixture of mass - imbalanced bosons. starting from a " molecular " quantum crystal, supersolidity is induced dynamically as an out - of - equilibrium state. when neighboring molecular wavefunctions overlap, both boso...
arxiv:0906.1110
the vortex phase diagram in the external rotation frequency versus temperature is calculated for dilute bose - einstein condensed gases. it is determined within the bogoliubov - popov theory for a finite temperature where the condensate and non - condensate fractions are treated in an equal footing. the temperature dep...
arxiv:cond-mat/0104358
by introducing a semi - honest third party ( tp ), we propose in this paper a novel qpc protocol using ( n + 1 ) - qubit ( n \ ge 2 ) greenberger - horne - zeilinger ( ghz ) states as information carriers. the parameter n not only determines the number of qubits contained in a ghz state, but also determines the probabi...
arxiv:1911.08075
we present an alternative derivation of the pair correlation function for simple classical fluids by using a variational approach. that approach involves the conditional probability p ( 3,..., n / 1, 2 ) of an undefined system of n particles with respect to a given pair ( 1, 2 ), and the definition of a conditional ent...
arxiv:2105.03191
reciprocity in dyadic interactions is common and a topic of interest across disciplines. in some cases, reciprocity may be expected to be more or less prevalent among certain kinds of dyads. in response to interest among researchers in estimating dyadic reciprocity as a function of covariates, this paper proposes an ex...
arxiv:2005.09827
we present an algorithm for computing $ s $ - $ t $ maximum flows in directed graphs in $ \ widetilde { o } ( m ^ { 4 / 3 + o ( 1 ) } u ^ { 1 / 3 } ) $ time. our algorithm is inspired by potential reduction interior point methods for linear programming. instead of using scaled gradient / newton steps of a potential fun...
arxiv:2009.03260
a " still life " is a subset s of the square lattice z ^ 2 fixed under the transition rule of conway ' s game of life, i. e. a subset satisfying the following three conditions : 1. no element of z ^ 2 - s has exactly three neighbors in s ; 2. every element of s has at least two neighbors in s ; 3. every element of s ha...
arxiv:math/9905194
series expansions have been a cornerstone of applied mathematics and engineering for centuries. in this paper, we revisit the taylor series expansion from a modern machine learning perspective. specifically, we introduce the fast continuous convolutional taylor transform ( fc2t2 ), a variant of the fast multipole metho...
arxiv:2111.00110
in zero - shot learning ( zsl ), conditional generators have been widely used to generate additional training features. these features can then be used to train the classifiers for testing data. however, some testing data are considered " hard " as they lie close to the decision boundaries and are prone to misclassific...
arxiv:2010.03245
this paper proposes fractional sliding control designs for single - degree - of - freedom fractional oscillators respectively of the kelvin - voigt type, the modified kelvin - voigt type and d \ " { u } ffing type, whose dynamical behaviors are described by second - order differential equations involving fractional der...
arxiv:1608.04850
researchers must ensure that the claims about the knowledge produced by their work are valid. however, validity is neither well - understood nor consistently established in design science, which involves the development and evaluation of artifacts ( models, methods, instantiations, and theories ) to solve problems. as ...
arxiv:2503.09466
we present new 144 - mhz lofar observations of the prototypical ` x - shaped ' radio galaxy ngc 326, which show that the formerly known wings of the radio lobes extend smoothly into a large - scale, complex radio structure. we argue that this structure is most likely the result of hydrodynamical effects in an ongoing g...
arxiv:1907.03274
we take into account the dynamics of three types of models of rotating galaxies in polar coordinates in a rotating frame. due to non - axisymmetric potential perturbations, the angular momentum varies with time, and the kinetic energy depends on the momenta and spatial coordinate. the existing explicit force - gradient...
arxiv:2302.06102
we investigate the effect of a cosmological constant on the gravothermal catastrophe in the newtonian limit. a negative cosmological constant acts as a thermodynamic ` destabilizer '. the antonov radius gets smaller and the instability occurs, not only for negative but also for positive energy values. a positive cosmol...
arxiv:1206.2839
we analyze the sector of dimension - three vector meson operators in the " hard wall " model of holographic qcd, including the vector and axial currents, dual to gauge fields in the bulk, and the tensor operator $ \ bar { \ psi } \ sigma ^ { \ mu \ nu } \ psi $, dual to a two - form field satisfying a complex self - du...
arxiv:1108.1191
##20 and 49 npr 6 = 10068347520. however, the order of the 6 numbers is not significant for the payout. that is, if a ticket has the numbers 1, 2, 3, 4, 5, and 6, it wins as long as all the numbers 1 through 6 are drawn, no matter what order they come out in. accordingly, given any combination of 6 numbers, there are 6...
https://en.wikipedia.org/wiki/Lottery_mathematics
is the evaporation of a black hole described by a unitary theory? in order to shed light on this question - - - especially aspects of this question such as a black hole ' s negative specific heat - - - we consider the real - time dynamics of a solitonic object in matrix quantum mechanics, which can be interpreted as a ...
arxiv:1602.01473
the deferred acceptance algorithm is an elegant solution to the stable matching problem that guarantees optimality and truthfulness for one side of the market. despite these desirable guarantees, it is susceptible to strategic misreporting of preferences by the agents on the other side. we study a novel model of strate...
arxiv:2012.04518
in a phase ii dose - finding study with a placebo control, a new drug with several dose levels is compared with a placebo to test for the effectiveness of the new drug. the main focus of such studies often lies in the characterization of the dose - response relationship followed by the estimation of a target dose that ...
arxiv:2007.05974
two - dimensional ( spin - $ 2 $ ) affleck - kennedy - lieb - tasaki ( aklt ) type valence bond solids on the square lattice are known to be symmetry protected topological ( spt ) gapped spin liquids [ shintaro takayoshi, pierre pujol, and akihiro tanaka phys. rev. b $ { \ bf 94 } $, 235159 ( 2016 ) ]. using the projec...
arxiv:1708.00848
we show how heavy quark symmetry constraints on doubly heavy baryon semileptonic decay widths can be used to test the validity of different quark model calculations. the large discrepancies in the results observed between different quark model approaches can be understood in terms of a severe violation of heavy quark s...
arxiv:0710.1186
thermophotovoltaic ( tpv ) converters are capable of generating electrical energy from infrared radiation emitted by an emitter powered by waste heat or solar energy. key performance metrics for tpv converters are power output density ( pod ), which represents the electrical energy per unit area of the photovoltaic ( p...
arxiv:2306.02529
we present a deterministic algorithm for the efficient evaluation of imaginary time diagrams based on the recently introduced discrete lehmann representation ( dlr ) of imaginary time green ' s functions. in addition to the efficient discretization of diagrammatic integrals afforded by its approximation properties, the...
arxiv:2307.08566
the electronic structure of sr2ruo4 is investigated by high angular resolution arpes at several incident photon energies. we address the controversial issues of the fermi surface ( fs ) topology and of the van hove singularity at the m point, showing that a surface state and the replica of the primary fs due to ( sqrt2...
arxiv:cond-mat/0008462
annotating lidar point clouds for autonomous driving is a notoriously expensive and time - consuming task. in this work, we show that the quality of recent self - supervised lidar scan representations allows a great reduction of the annotation cost. our method has two main steps. first, we show that self - supervised r...
arxiv:2407.15797
we study spectral and steady - state properties of generic markovian dissipative systems described by quadratic fermionic liouvillian operators of the lindblad form. the hamiltonian dynamics is modeled by a generic random quadratic operator, i. e., as a featureless superconductor of class d, whereas the markovian dissi...
arxiv:2210.07959
temperature - dependent gap equations in the su ( 4 ) model of high - tc superconductivity are derived and analytical solutions are obtained. based on these solutions, a generic gap diagram describing the features of energy gaps as functions of doping p is presented and a phase diagram illustrating the phase structure ...
arxiv:cond-mat/0508081