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context : thermal non - equilibrium ( tne ) produces several observables that can be used to constrain the spatial and temporal distribution of solar coronal heating. its manifestations include prominence formation, coronal rain, and long - period intensity pulsations in coronal loops. the recent observation of abundan...
arxiv:2110.09975
in this paper, we develop a direct method for the characterization of dark modes. the results can be used to construct a transformation that separates dark and bright modes, through the decomposition of system dynamics. we also study a synthesis problem by engineering the system - environment coupling and hamiltonian e...
arxiv:1611.04643
in 2023, cepc accelerator technical design report ( tdr ) has been formally released, and cepc project entered engineering design report ( edr ) phase before construction. in the paper the accelerator edr and cepc detector ref - design report progresses have been reported, where booster magnet and vacuum chamber neg co...
arxiv:2505.04663
the family $ \ sigma _ r $ consists of all $ r $ - graphs with three edges $ d _ 1, d _ 2, d _ 3 $ such that $ | d _ 1 \ cap d _ 2 | = r - 1 $ and $ d _ 1 \ triangle d _ 2 \ subseteq d _ 3 $. a generalized triangle, $ \ mathcal { t } _ r \ in \ sigma _ r $ is an $ r $ - graph on $ \ { 1, 2, \ ldots, 2r - 1 \ } $ with t...
arxiv:1501.01913
we study the capability of arbitrage - free neural - sde market models to yield effective strategies for hedging options. in particular, we derive sensitivity - based and minimum - variance - based hedging strategies using these models and examine their performance when applied to various option portfolios using real -...
arxiv:2205.15991
this article proposes a novel computational modeling approach for short - ranged molecular interactions between curved slender fibers undergoing large 3d deformations, and gives a detailed overview how it fits into the framework of existing fiber or beam interaction models, either considering microscale molecular or ma...
arxiv:2208.03149
to understand the mechanisms by which fe and cr additions increase the corrosion rate of irradiated zr alloys, a combination of experimental ( atom probe tomography, x - ray diffraction and thermoelectric power measurements ) and modelling ( density functional theory ) techniques are employed to investigate the non - e...
arxiv:1501.06732
the rapidly evolving field of digital oncopathology faces significant challenges, including the need to address diverse and complex clinical questions, often involving rare conditions, with limited availability of labeled data. these limitations hinder the development of robust ai - driven tools in the biomedical space...
arxiv:2409.02885
technology based on memristors, resistors with memory whose resistance depends on the history of the crossing charges, has lately enhanced the classical paradigm of computation with neuromorphic architectures. however, in contrast to the known quantized models of passive circuit elements, such as inductors, capacitors ...
arxiv:1511.02192
given a graph $ g $ and probability $ p $, we form the random subgraph $ g _ p $ by retaining each edge of $ g $ independently with probability $ p $. given $ d \ in \ mathbb { n } $ and constants $ 0 < c < 1, \ varepsilon > 0 $, we show that if every subset $ s \ subseteq v ( g ) $ of size exactly $ \ frac { c | v ( g...
arxiv:2407.11495
we use data from the white dish experiment to set limits on cosmic microwave background radiation anisotropies in open and spatially - flat - lambda cold dark matter cosmogonies. we account for the white dish calibration uncertainty, and marginalize over the offset and gradient removed from the data. our 2 - sigma uppe...
arxiv:astro-ph/9710270
we study two dyadic models for incompressible ideal magnetohydrodynamics, one with a uni - directional energy cascade and the other one with both forward and backward energy cascades. global existence of weak solutions and local well - posedness are established for both models. in addition, solutions to the model with ...
arxiv:2104.09440
we propose a classification of group properties according to whether they can be deduced from the assumption that a group ' s subgroup lattice contains an interval isomorphic to some lattice. we are able to classify a few group properties as being " interval enforceable " in this sense, and we establish that other prop...
arxiv:1205.1927
model predictive control ( mpc ) has proven useful in enabling safe and optimal motion planning for autonomous vehicles. in this paper, we investigate how to achieve mpc - based motion planning when a neural state - space model represents the vehicle dynamics. as the neural state - space model will lead to highly compl...
arxiv:2310.08045
despite recent evidence that microsoft academic is an extensive source of citation counts for journal articles, it is not known if the same is true for academic books. this paper fills this gap by comparing citations to 16, 463 books from 2013 - 2016 in the book citation index ( bkci ) against automatically extracted c...
arxiv:1808.01474
given a strictly hyperbolic $ n \ times n $ system of conservation laws, it is well known that there exists a unique lipschitz semigroup of weak solutions, defined on a domain of functions with small total variation, which are limits of vanishing viscosity approximations. aim of this note is to prove that every weak so...
arxiv:2305.17203
the valuable data collected by iot devices in edge networks together with the resurgence of ml stimulate the latest trend of edge ai. however, recent fl methods face major challenges including communication bottleneck, data heterogeneity and security concerns in edge iot scenarios, especially when being adopted for dis...
arxiv:2208.05578
we prove a central limit theorem under diffusive scaling for the displacement of a random walk on $ { \ mathbb z } ^ d $ in stationary and ergodic doubly stochastic random environment, under the $ \ mathcal { h } _ { - 1 } $ - condition imposed on the drift field. the condition is equivalent to assuming that the stream...
arxiv:1702.06905
we compute the quotient of the self - duality equation for conformal metrics by the action of the diffeomorphism group. we also determine hilbert polynomial, counting the number of independent scalar differential invariants depending on the jet - order, and the corresponding poincar \ ' e function. we describe the fiel...
arxiv:1605.01447
due to limited resources on edge and different characteristics of deep neural network ( dnn ) models, it is a big challenge to optimize dnn inference performance in terms of energy consumption and end - to - end latency on edge devices. in addition to the dynamic voltage frequency scaling ( dvfs ) technique, the edge -...
arxiv:2306.01811
we present the complete submillimeter data for the canada - uk deep submillimeter survey ( cudss ) 3 - hour field. the obeservations were taken with the submillimeter common - user bolometer array ( scuba ) on the james clerk maxwell telescope on mauna kea. the 3 - hour field is one of two main fields in our survey and...
arxiv:astro-ph/0201180
the aim of this paper is the analysis, from algebraic point of view and singularities studies, of the 5 - parametric family of differential equations \ begin { equation * } \ label { folpz } yy ' = ( \ alpha x ^ { m + k - 1 } + \ beta x ^ { m - k - 1 } ) y + \ gamma x ^ { 2m - 2k - 1 }, \ quad y ' = \ frac { dy } { dx ...
arxiv:1807.03551
we propose a quantum ranging protocol to determine the distance between an observer and a target at the line of sight in the near - earth curved spacetime. unlike the quantum illumination scheme, here we employ multiple quantum hypothesis testing to decide the presence and location of the target at the same time. in th...
arxiv:2205.05441
motivated by conjectures in mirror symmetry, we continue the study of the real monge - - amp \ ` ere operator on the boundary of a simplex. this can be formulated in terms of optimal transport, and we consider, more generally, the problem of optimal transport between symmetric probability measures on the boundary of a ...
arxiv:2403.01620
we study fluctuations of the wigner time delay for open ( scattering ) systems which exhibit mixed dynamics in the classical limit. it is shown that in the semiclassical limit the time delay fluctuations have a distribution that differs markedly from those which describe fully chaotic ( or strongly disordered ) systems...
arxiv:nlin/0701025
several dual - domain convolutional neural network - based methods show outstanding performance in reducing image compression artifacts. however, they suffer from handling color images because the compression processes for gray - scale and color images are completely different. moreover, these methods train a specific ...
arxiv:1810.08042
a quantum group of type a is defined as a hopf algebra associated to a hecke symmetry. we show the homology of a koszul complex associated to the hecke symmetry is one dimensional and determines a group - like element in the hopf algebra. this group - like element can be interpreted as a homological determinant as sugg...
arxiv:math/0305115
in this manuscript, we show that the external schwarzschild metric can be a good approximation of exact black hole solutions of entangled relativity. since entangled relativity cannot be defined from vacuum, the demonstrations need to rely on the definition of matter fields. the electromagnetic field being the easiest ...
arxiv:2102.10541
we discuss the sharp interface limit of a coupled navier - stokes / allen - cahn system in a two dimensional, bounded and smooth domain, when a parameter $ \ varepsilon > 0 $ that is proportional to the thickness of the diffuse interface tends to zero rigorously. we prove convergence of the solutions of the navier - st...
arxiv:2201.09343
in this paper, we introduce a class of improved estimators for the mean parameter matrix of a multivariate normal distribution with an unknown variance - covariance matrix. in particular, the main results of [ d. ch \ ' etelat and m. t. wells ( 2012 ). improved multivariate normal mean estimation with unknown covarianc...
arxiv:2311.14263
we compare phenomenological values of the frozen qcd running coupling constant ( $ \ alpha _ s $ ) with two classes of solutions obtained through nonperturbative schwinger - dyson equations. we use these same solutions with frozen coupling constants as well as their respective nonperturbative gluon propagators to compu...
arxiv:hep-ph/0109223
seismic phase association connects earthquake arrival time measurements to their causative sources. effective association must determine the number of discrete events, their location and origin times, and it must differentiate real arrivals from measurement artifacts. the advent of deep learning pickers, which provide ...
arxiv:2209.07086
we consider the shape optimization of an object in navier - - stokes flow by employing a combined phase field and porous medium approach, along with additional perimeter regularization. by considering integral control and state constraints, we extend the results of earlier works concerning the existence of optimal shap...
arxiv:1702.03855
an equivalent directed version of the celebrated unresolved conjecture of erdos and hajnal proposed by alon et al. states that for every tournament h there exists epsilon ( h ) > 0 such that every h - free n - vertex tournament t contains a transitive subtournament of order at least n ^ ( epsilon ( h ) ). a tournament ...
arxiv:2207.09146
background : connectivity mapping is a process to recognize novel pharmacological and toxicological properties in small molecules by comparing their gene expression signatures with others in a database. a simple and robust method for connectivity mapping with increased specificity and sensitivity was recently developed...
arxiv:0908.0649
quantum measurements are ubiquitous in quantum information processing tasks, but errors can render their outputs unreliable. here, we present a scheme that implements a robust projective measurement through measuring code - inspired observables. namely, given a projective povm, a classical code and a constraint on the ...
arxiv:2402.04093
in this paper, we build the unfolding approach from acyclic sign - skew - symmetric matrices of finite rank to skew - symmetric matrices of infinite rank, which can be regard as an improvement of that in the skew - symmetrizable case. using this approach, we give a positive answer to the problem by berenstein, fomin an...
arxiv:1609.05981
we explore radio and spectroscopic properties of a sample of 14 miniature radio galaxies, i. e. early - type core galaxies hosting radio - loud agn of extremely low radio power, 10 ^ ( 27 - 29 ) erg s ^ ( - 1 ) hz ^ ( - 1 ) at 1. 4 ghz. miniature radio galaxies smoothly extend the relationships found for the more power...
arxiv:0910.4261
in this paper we write explicitly the open book decompositions of links of quotient surface singularities supporting the corresponding unique milnor fillable contact structure. the page - genus of these milnor open books are minimal among all milnor open books supporting the same contact structure. we also investigate ...
arxiv:1204.3576
we define a map from subspaces to motzkin paths and show that the inverse image of every path is a disjoint union of symmetric boolean subsets yielding an explicit symmetric boolean decomposition of the subspace lattice.
arxiv:2407.06559
a universe containing uniform magnetic fields, strings, or domain walls is shown to have an ellipsoidal expansion. this case has motivations from observational cosmology especially the anomaly concerning the low quadrupole amplitude compared to the best - fit $ \ lambda $ cdm prediction in planck data. it is shown that...
arxiv:2006.13750
covid - 19 is a global health problem. consequently, early detection and analysis of the infection patterns are crucial for controlling infection spread as well as devising a treatment plan. this work proposes a two - stage deep convolutional neural networks ( cnns ) based framework for delineation of covid - 19 infect...
arxiv:2009.08864
we present a description of the pipeline used to calibrate the planck low frequency instrument ( lfi ) timelines into thermodynamic temperatures for the planck 2015 data release, covering four years of uninterrupted operations. as in the 2013 data release, our calibrator is provided by the spin - synchronous modulation...
arxiv:1505.08022
frolicher and nijenhuis recognized well in the middle of the previous century that the lie bracket and its jacobi identity could and should exist beyond lie algebras. nevertheless the conceptual meaning of their discovery has been obscured by the messy techniques they exploited. the principal objective in this paper is...
arxiv:0904.1155
fix a variety x with a transitive ( left ) action by an algebraic group g. let e and f be coherent sheaves on x. we prove that, for elements g in a dense open subset of g, the sheaf tor _ i ^ x ( e, g f ) vanishes for all i > 0. when e and f are structure sheaves of smooth subschemes of x in characteristic zero, this f...
arxiv:math/0601202
we present anubis, a highly effective machine learning - based apt detection system. our design philosophy for anubis involves two principal components. firstly, we intend anubis to be effectively utilized by cyber - response teams. therefore, prediction explainability is one of the main focuses of anubis design. secon...
arxiv:2112.11032
let $ n $ be a connected nonorientable surface with or without boundary and punctures, and $ j \ colon s \ rightarrow n $ be the orientation double covering. it has previously been proved that the orientation double covering $ j $ induces an embedding $ \ iota \ colon \ mathrm { mod } ( n ) $ $ \ hookrightarrow $ $ \ m...
arxiv:2101.11839
in friedman - robertson - walker flat spacetime, we consider a three fluid cosmological model which contains dark matter, dark energy and baryonic matter in the form of perfect fluid with a barotropic equation of state. dark matter is taken in form of dust and dark energy is described by a scalar field with a potential...
arxiv:1512.07017
the garman - klass unbiased estimator of the variance per unit time of a zero - drift brownian motion b, based on the usual financial data that reports for time windows of equal length the open ( open ), minimum ( min ), maximum ( max ) and close ( close ) values, is quadratic in the statistic s1 = ( close - open, open...
arxiv:0807.3492
fast radio bursts ( frbs ) are usually suggested to be associated with mergers of compact binaries consisting of white dwarfs ( wds ), neutron stars ( nss ), or black holes ( bhs ). we test these models by fitting the observational distributions in both redshift and isotropic energy of 22 parkes frbs, where, as usual, ...
arxiv:1803.06266
missing data is an expected issue when large amounts of data is collected, and several imputation techniques have been proposed to tackle this problem. beneath classical approaches such as mice, the application of machine learning techniques is tempting. here, the recently proposed missforest imputation method has show...
arxiv:1711.11394
the class of gaussian process ( gp ) methods for temporal difference learning has shown promise for data - efficient model - free reinforcement learning. in this paper, we consider a recent variant of the gp - sarsa algorithm, called sparse pseudo - input gaussian process sarsa ( spgp - sarsa ), and derive recursive fo...
arxiv:1811.07201
sub - tasks of intent classification, such as robustness to distribution shift, adaptation to specific user groups and personalization, out - of - domain detection, require extensive and flexible datasets for experiments and evaluation. as collecting such datasets is time - and labor - consuming, we propose to use text...
arxiv:2108.06991
light and cold extrasolar planets such as ogle 2005 - blg - 390lb, a 5. 5 earth - mass planet detected via microlensing, could be frequent in the galaxy according to some preliminary results from microlensing experiments. these planets can be frozen rocky - or ocean - planets, situated beyond the snow line and, therefo...
arxiv:0704.3024
the role of the charm quark in the dynamics underlying the \ delta i = 1 / 2 rule for kaon decays can be understood by studying the dependence of kaon decay amplitudes on the charm quark mass using an effective \ delta s = 1 weak hamiltonian in which the charm is kept as an active degree of freedom. overlap fermions ar...
arxiv:1210.5964
the statistical physics and dynamics of double supported bilayers are studied theoretically. the main goal in designing double supported lipid bilayers is to obtain model systems of biomembranes : the upper bilayer is meant to be almost freely floating, the substrate being screened by the lower bilayer. the fluctuation...
arxiv:0909.3396
as a rapidly expanding service, bike sharing is facing severe problems of bike over - supply and demand fluctuation in many chinese cities. this study develops a large - scale method to determine the minimum fleet size under uncertainty, based on the bike sharing data of millions of trips in nanjing. it is found that t...
arxiv:2204.08603
interventions lacked sufficient evidence to support either benefit or harm. in modern clinical practice, physicians and physician assistants personally assess patients to diagnose, prognose, treat, and prevent disease using clinical judgment. the doctor - patient relationship typically begins with an interaction with a...
https://en.wikipedia.org/wiki/Medicine
easal ( efficient atlasing and sampling of assembly landscapes ) is a geometric method for sampling and computing integrals over the potential energy landscape of small molecular assemblies. easal ' s efficiency arises from the fact that small assembly landscapes permit the use of so - called cayley ( inter - atomic di...
arxiv:1408.2481
we provide a hands - on introduction to monte carlo simulations in nonperturbative lattice quantum gravity, formulated in terms of causal dynamical triangulations ( cdt ). we describe explicitly the implementation of monte carlo moves and the associated detailed - balance equations in two and three spacetime dimensions...
arxiv:2310.16744
we will show that group exactness is a von neumann equivalence invariant. this result generalizes the previously known fact stating that group exactness is invariant under measure equivalence and w * - equivalence.
arxiv:2202.13872
on the space of three - dimensional conformal field theories with u ( 1 ) symmetry and a chosen coupling to a background gauge field, there is a natural action of the group $ sl ( 2, { \ bf z } ) $. the generator $ s $ of $ sl ( 2, { \ bf z } ) $ acts by letting the background gauge field become dynamical, an operation...
arxiv:hep-th/0307041
we examined a two - dimensional heisenberg model with two kinds of exchange energies, $ j _ e $ and $ j _ c $. this model describes localized spins at vanadium ions in a layer of cav $ _ 4 $ o $ _ 9 $, for which a spin gap is found by a recent experiment. comparing the high temperature expansion of the magnetic suscept...
arxiv:cond-mat/9510160
let $ r $ be a local commutative noetherian ring and $ hkr $ the homology ring of the corresponding koszul complex. we study the homological properties of $ hkr $ in particular the so - called avramov spectral sequence. when the embedding dimension of $ r $ is four and when $ r $ can be presented with quadratic relatio...
arxiv:1512.09188
we determine approximate numerical integrals of motion of 2d symmetric hamiltonian systems. we detail for a few gravitational potentials the conditions under which quasi - integrals are obtained as polynomial series. we show that each of these potentials has a wide range of regular orbits that are accurately modelled w...
arxiv:1211.6306
the hydrogen atoms penetrate the heliosphere from the local interstellar medium, and while being ionized, they form the population of pickup protons. the distribution of pickup protons is modified by the adiabatic heating ( cooling ) induced by the solar wind plasma compression ( expansion ). in this study, we emphasiz...
arxiv:2308.09145
spectral lines of heavy atomic elements in the ejecta of supernovae and neutron star mergers can have important contribution to the opacity of the ejecta matter even when the abundance of the elements is very small. under favorable conditions, the line expansion opacity arising from spectral lines and the expansion of ...
arxiv:1910.13619
peer - to - peer content distribution systems have been enjoying great popularity, and are now gaining momentum as a means of disseminating video streams over the internet. in many of these protocols, including the popular bittorrent, content is split into mostly fixed - size pieces, allowing a client to download data ...
arxiv:0802.1015
one of the solutions to the cosmological polonyi problem is to introduce a large coupling between the polonyi field and the inflaton so that the polonyi field adiabatically tracks the temporal minimum of the potential. we study general conditions for the adiabatic suppression mechanism to work, and find that a non - ne...
arxiv:1109.2073
we describe the moduli spaces of morphisms between polarized complex abelian varieties. the discrete invariants, derived from a poincare ' decomposition of morphisms, are the types of polarizations and of lattice homomorphisms occurring in the decomposition. for a given type of morphisms the moduli variety is irreducib...
arxiv:math/0006082
we introduce a new concept of mixed representations of quivers that is a generalization of ordinary representations of quivers and orthogonal ( symplectic ) representations of symmetric quivers introduced recently by derksen and weyman. we describe the generating invariants of mixed representations of quivers ( first f...
arxiv:math/0305386
this is a report of an nsf workshop titled " envisioning national resources for artificial intelligence research " held in alexandria, virginia, in may 2024. the workshop aimed to identify initial challenges and opportunities for national resources for ai research ( e. g., compute, data, models, etc. ) and to facilitat...
arxiv:2412.10278
entailment has been recognized as an important metric for evaluating natural language understanding ( nlu ) models, and recent studies have found that entailment pretraining benefits weakly supervised fine - tuning. in this work, we design a prompting strategy that formulates a number of different nlu tasks as contextu...
arxiv:2305.17197
we give a construction of a state sum invariant of a closed spin 3 - manifold based on a super 3 - cocycle $ ( \ widetilde { \ alpha }, \ omega ) $ and a combinatorial representation of a spin 3 - manifold, where $ \ omega $ is a $ \ mathbb { z } _ 2 $ - valued cocycle and $ \ widetilde { \ alpha } $ is a 3 - cochain s...
arxiv:2305.12440
single particle states in the atomic trap employing the rotating magnetic field are found using the full time - dependent instantaneous trapping potential. these states are compared with those of the effective time - averaged potential. we show that the trapping is possible when the frequency of the rotations exceeds s...
arxiv:atom-ph/9607003
the moments of spatial probabilistic systems are often given by an infinite hierarchy of coupled differential equations. moment closure methods are used to approximate a subset of low order moments by terminating the hierarchy at some order and replacing higher order terms with functions of lower order ones. for a give...
arxiv:1905.12122
we present the concept of approximate intermittent computing and demonstrate its application. intermittent computations stem from the erratic energy patterns caused by energy harvesting : computations unpredictably terminate whenever energy is insufficient. existing solutions maintain equivalence to continuous executio...
arxiv:2111.10726
many natural language processing ( nlp ) tasks are naturally imbalanced, as some target categories occur much more frequently than others in the real world. in such scenarios, current nlp models still tend to perform poorly on less frequent classes. addressing class imbalance in nlp is an active research topic, yet, fi...
arxiv:2210.04675
for $ g \ in \ mathbb { n } $, let $ g = \ sp ( 2g, \ mathbb { z } ) $ be the integral symplectic group and $ s ( g ) $ be the set of all positive integers which can occur as the order of an element in $ g $. in this paper, we show that $ s ( g ) $ is a bounded subset of $ \ mathbb { r } $ for all positive integers $ g...
arxiv:1702.01271
when two pedestrians approach each other on the sidewalk head - on, they sometimes engage in an awkward interaction, both deviating to the same side ( repeatedly ) to avoid a collision. this phenomenon is known as the sidewalk salsa. although well known, no existing model describes how this " dance " arises. such a mod...
arxiv:2412.04023
we consider the system of maxwell equations and lorentz torque equation which describes a motion of charge in electromagnetic field. under certain symmetry conditions on charge distribution and on initial fields the charge remains at rest but rotates. the system admits stationary soliton - type solutions. we study the ...
arxiv:2303.05035
this paper considers a setting where embedded devices are used to acquire and classify images. because of limited computing capacity, embedded devices rely on a parsimonious classification model with uneven accuracy. when local classification is deemed inaccurate, devices can decide to offload the image to an edge serv...
arxiv:2208.00485
navigating unmanned aerial vehicles in environments where gps signals are unavailable poses a compelling and intricate challenge. this challenge is further heightened when dealing with nano aerial vehicles ( navs ) due to their compact size, payload restrictions, and computational capabilities. this paper proposes an a...
arxiv:2412.08757
in this paper, a two - level additive schwarz preconditioner is proposed for solving the algebraic systems resulting from the finite element approximations of space fractional partial differential equations ( sfpdes ). it is shown that the condition number of the preconditioned system is bounded by c ( 1 + h / \ delta ...
arxiv:1501.02965
a primary problem for perturbative qcd analyses is how to set the renormalization scale of the qcd running coupling in order to achieve maximally precise fixed - order predictions for physical observables. the principle of maximum conformality ( pmc ) eliminates the ambiguities associated with the conventional renormal...
arxiv:1508.02332
over the last years, lattice calculations in pure yang - mills gauge theory seem to have come more or less to a consensus. the ghost propagator is not enhanced and the gluon propagator is positivity violating, infrared suppressed and non - vanishing at zero momentum. from an analytical point of view, several groups are...
arxiv:1010.4448
we propose a novel artificial compression, reduced order model ( ac - rom ) for the numerical simulation of viscous incompressible fluid flows. the new ac - rom provides approximations not only for velocity, but also for pressure, which is needed to calculate forces on bodies in the flow and to connect the simulation p...
arxiv:1902.09061
using variants of the tt * method we give a self - contained proof of the result of alfonseca, soria and vargas on maximal operators on arbitrary directions in $ \ rr ^ 2 $. we also give a sharp $ l ^ 2 $ estimate for a maximal function extending a theorem of cordoba.
arxiv:0810.0911
this essay, originally published in the sept 1990 notices of the ams, discusses problems of our mathematical education system that often stem from widespread misconceptions by well - meaning people of the process of learning mathematics. the essay also discusses ideas for fixing some of the problems. most of what i wro...
arxiv:math/0503081
glaucoma is a leading cause of irreversible blindness worldwide. while deep learning approaches using fundus images have largely improved early diagnosis of glaucoma, variations in images from different devices and locations ( known as domain shifts ) challenge the use of pre - trained models in real - world settings. ...
arxiv:2407.04396
see quant - ph / 0101012
arxiv:quant-ph/0010083
we present high angular resolution observations of water masers at 1. 3 cm and radio continuum emission at 1. 3, 3. 6 and 6 cm towards the bok globule cb 54 using the very large array. at 1. 3 cm, with subarsecond angular resolution, we detect a radio continuum compact source located to the south - west of the globule ...
arxiv:0904.0736
based on magnetization, specific heat, magnetostriction, and neutron diffraction studies on single - crystal tbco2b2c, it is found out that the paramagnetic properties, down to liquid nitrogen temperatures, are well described by a curie - weiss behavior of the tb + 3 moments. furthermore, below tc = 6. 3 k, the tb - su...
arxiv:0812.4330
an infinite permutation is a linear order on the set n. we study the properties of infinite permutations generated by fixed points of some uniform binary morphisms, and find the formula for their complexity.
arxiv:1108.3641
stress vs. strain fluctuations in athermal amorphous solids are an example of ` crackling noise ' of the type studied extensively in the context of elastic membranes moving through random potentials. contrary to the latter, we do not have a stochastic equation whose statistics agree with the measured ones. on the other...
arxiv:1004.3193
the cellular phenotype is described by a complex network of molecular interactions. elucidating network properties that distinguish disease from the healthy cellular state is therefore of critical importance for gaining systems - level insights into disease mechanisms and ultimately for developing improved therapies. b...
arxiv:1202.3015
we study the combinatorial description of the ldu decomposition of totally positive matrices. we give a description of the lower triangular l, the diagonal d, and the upper triangular u matrices of the ldu decomposition of totally positive matrices in terms of the combinatorial structure of essential planar networks de...
arxiv:1510.07675
in this paper, we compare static and dynamic ( reduced form ) approaches for modeling wrong - way risk in the context of cva. although all these approaches potentially suffer from arbitrage problems, they are popular ( respectively ) in industry and academia, mainly due to analytical tractability reasons. we complete t...
arxiv:1605.05100
we introduce a new variant of the geometric steiner arborescence problem, motivated by the layout of flow maps. flow maps show the movement of objects between places. they reduce visual clutter by bundling lines smoothly and avoiding self - intersections. to capture these properties, our angle - restricted steiner arbo...
arxiv:1109.3316
cosmological singularity theorems such as that of hawking and penrose assume local curvature conditions as well as global ones like the existence of a compact ( achronal ) slice. here, we prove a new singularity theorem for chronological spacetimes that satisfy what we call a ` past null focusing ' condition. such a co...
arxiv:1809.02071