Study examines trading costs after Hong Kong-Shanghai Connect.
problem Estimating trading costs in China's securities market.
method Developed a novel methodology to compensate for lack of data.
result Trading costs on Shanghai may have increased after Connect.
Anti-ELAB protests affected Hong Kong firms' stock prices, especially those linked to pan-democrats.
problem Impact of anti-ELAB protests on Hong Kong firms' stock prices.
method Daily protesting intensity measured by number of protestors from 2019/6/6 to 2020/1/17; analyzed stock price changes of firms.
result Anti-ELAB protests negatively affected firms linked to pan-democrats, positively affected red chips.
SHHK Stock Connect increases A-H share price premium, more for less efficient markets.
problem Impact of financial liberalization on cross-market pricing efficiency.
method Monthly data for 67 A-H dual-listed firms, system GMM dynamic models.
result Heterogeneous effect of SHHK Stock Connect on A-H price premium, more pronounced for less efficient markets.
Counter-example disproves Hong and Won's conjecture on del Pezzo surfaces.
problem Disproving a conjecture about α-invariants of polarized smooth del Pezzo surfaces. method Provided an explicit counter-example.
result The conjecture by Hong and Won is false.
Hong Kong's housing prices predicted to slump for a decade.
problem Predicting the future of Hong Kong's property market.
method Analysis of past episodes and regularities in other countries.
result Predicts a decade-long slump in Hong Kong's housing market.
Hong Kong uses reference class forecasting to improve roadwork project cost and duration estimates.
problem Optimism bias and strategic misrepresentation in infrastructure project forecasts.
method Reference class forecasting applied to 25 roadwork projects in Hong Kong.
result Forecast accuracy distribution and project benchmarking established.
We prove that the Yang-Mills α-functional satisfies the Palais-Smale condition. This guarantees the existence of critical points, which are called Yang-Mills α-connections. It was shown by Hong, Tian and Yin in [10] (to appear in Comm. Math. Helv.) that as α→1, a sequence of Yang-Mills α-connections converge…
Based on the minute-by-minute data of the Hang Seng Index in Hong Kong and the analysis of probability distribution and autocorrelations, we find that the index fluctuations for the first few minutes of daily opening show behaviors very different from those of the other times. In particular, the properties of tail dist…
Quantum spheres' groupoid structure revealed.
problem Identifying the groupoid structure of quantum spheres.
method Comparing path groupoids of quantum spheres with Sheu's groupoid.
result Path groupoid of quantum spheres is isomorphic to Sheu's groupoid.
HSBC grew from Hong Kong to global dominance despite political upheavals.
problem Surviving and growing in hostile political environments.
method Inorganic growth, leveraging deregulation, and strategic acquisitions.
result HSBC became a global banking behemoth despite political challenges.
We analyze the multifractal spectra of daily foreign exchange rates for Japan, Hong-Kong, Korea, and Thailand with respect to the United States Dollar from 1991 to 2005. We find that the return time series show multifractal spectrum features for all four cases. To observe the effect of the Asian currency crisis, we als…
Proves rigidity of stable free boundary hypersurfaces in 5-manifolds.
problem Stability and rigidity of free boundary hypersurfaces in 5-manifolds.
method Combining k-tri-Ricci curvature and 3-intermediate Ricci curvature. result Improves rigidity result to 5-dimensions and extends to free boundary case.
Researchers analyze Gromov-Witten potentials of elliptic orbifolds, proving modularity.
problem Understanding modularity properties of Gromov-Witten potentials for elliptic orbifolds.
method Developed identities and identities between functions with properties generalizing mock modular forms.
result Complete understanding of modularity transformation properties of Cho, Hong, Kim, and Lau's functions.
Constructs optimal symplectic connections for Kaehler metrics on holomorphic submersions.
problem Finding canonical relatively Kaehler metrics on holomorphic submersions.
method Extremal Kaehler metrics, optimal symplectic connections, and adiabatic classes.
result Constructs Kaehler metrics with constant scalar curvature and extremal metrics.
Given a singular Schubert variety Z in a compact Hermitian symmetric space it is a longstanding question to determine when Z is homologous to a smooth variety Y. We identify those Schubert varieties for which there exist first-order obstructions to the existence of Y. This extends (independent) work of M. Walters, R. B…
These are lecture notes mainly aimed at graduate students on selected aspects of generalized geometry: in particular generalized complex and Kaehler structures and generalized holomorphic bundles. They are based on lectures given in March 2010 at the Chinese University of Hong Kong.
The paper proves mirror symmetry for del Pezzo surfaces and computes related structures.
problem Understanding mirror symmetry for del Pezzo surfaces and related geometric structures.
method Using hyperKähler rotation and Floer theory, the paper constructs and compares Landau-Ginzburg mirrors and complex affine structures.
result The limit of the complex affine structure of special Lagrangian fibrations agrees with integral affine structures.
New method improves tensor completion for weakly-dependent spatiotemporal data.
problem Improving tensor completion for weakly-dependent data on graphs.
method Introducing L1-norm and Graph Laplacian penalties for low-rank tensor decomposition and completion. result Improved performance in metro passenger flow prediction.
Paper constructs new extremal Kähler metrics on holomorphic submersions.
problem Finding unique constant scalar curvature Kähler metrics on holomorphic submersions.
method Introduces optimal symplectic connection equation to solve geometric partial differential equation.
result Shows existence of extremal metrics on total space of holomorphic submersions.
Deep RNN predicts vehicle license plate auction prices with high accuracy.
problem Predicting the auction price of vehicle license plates with desirable numbers.
method Constructed a deep recurrent neural network (RNN) to predict prices based on license plate characters.
result Deep RNN predictions explain over 80 percent of price variations, significantly outperforming previous models.
In this paper the method of compensated compactness is applied to the problem of isometric immersion of a two dimensional Riemannian manifold with negative Gauss curvature into three dimensional Euclidean space. Previous applications of the method to this problem have required decay of order t−4 in the Gauss curva…
Study shows various weak solutions to complex flows match, proving viscosity equals pluripotential.
problem Comparing weak solutions to complex Monge-Ampère flows.
method Examined various notions of weak subsolutions and showed they coincide.
result Viscosity solution equals pluripotential solution.
In Part III of this study, we apply the price dynamical model with big buyers and big sellers developed in Part I of this paper to the daily closing prices of the top 20 banking and real estate stocks listed in the Hong Kong Stock Exchange. The basic idea is to estimate the strength parameters of the big buyers and the…
This research uses BERT for financial sentiment analysis and LSTM for stock return prediction.
problem Traditional sentiment analysis in finance is limited; this research aims to improve it.
method BERT for sentiment analysis and LSTM for stock return prediction.
result Significant enhancement of BERT in financial sentiment analysis and improved stock return predictability.
The paper explores cone structures and their connections to parabolic geometries in complex manifolds.
problem Understanding cone structures and their properties in complex manifolds.
method Analyzes cone structures induced by parabolic geometries and VMRT structures, focusing on local invariants.
result Establishes a local differential-geometric version of a global algebraic-geometric recognition theorem.
Study of vortex equations' limits on growing surfaces.
problem Understanding vortex equations' behavior as surface volume increases.
method Prior estimates for Kazdan-Warner equations, relating to previous work.
result Solutions converge smoothly away from finitely many points.
Improved contact tracing models outperform NIST challenge results.
problem Contact tracing using phone data and machine learning.
method Developed two machine learning models (GBM and MLP) from phone instrumental data features.
result Outperformed the leading NIST challenge result by HKUST.
Study heat flow for gauged holomorphic maps over Kähler manifolds.
problem Understanding the moduli space of gauged holomorphic maps.
method Gradient flow approach inspired by Atiyah and Bott, heat flow method.
result Global existence of smooth solutions of gradient flow equations.
This paper finds upper bounds for lattice stick numbers of rational links with specific stick configurations.
problem Finding upper bounds for the lattice stick number of rational links with exactly 4 z-sticks.
method Using 2-circuit presentations, the paper constructs lattice stick numbers with exactly 4 z-sticks and derives upper bounds.
result Upper bounds for the lattice stick number of rational links with exactly 4 z-sticks are derived.
Paper derives inequalities for eigenvalues of Witten-Laplacian under fixed volume constraint.
problem Eigenvalue inequalities of Witten-Laplacian on bounded domains.
method Rearrangement technique and trial functions under fixed weighted volume constraint.
result Several isoperimetric inequalities for eigenvalues of Witten-Laplacian.
China's rapid economic growth resulted in serious air pollution, which caused substantial losses to economic development and residents' health. In particular, the road transport sector has been blamed to be one of the major emitters. During the past decades, fluctuation in the international oil prices has imposed signi…
Robust and reliable covariance estimates play a decisive role in financial and many other applications. An important class of estimators is based on Factor models. Here, we show by extensive Monte Carlo simulations that covariance matrices derived from the statistical Factor Analysis model exhibit a systematic error, w…
By the work of Hong and Tian it is known that given a holomorphic vector bundle E over a compact Kahler manifold X, the Yang-Mills flow converges away from an analytic singular set. If E is semi-stable, then the limiting metric is Hermitian-Einstein and will decompose the limiting bundle into a direct sum of stable bun…
The paper constructs Morse complexes for orbifolds and shows their homologies are orbifold invariants.
problem Understanding the homology of orbifolds.
method Constructing invariant and coinvariant Morse chain complexes for orbifolds.
result The homology of coinvariant Morse complexes computes the singular homology of the underlying space.
Method predicts which high-dimensional correlation signs will change in the future.
problem Predicting which correlation matrix coefficients will change signs in high-dimensional data.
method Stability of correlation signs depends on three-by-three relationships, inspired by Heider social cohesion theory.
result The method accurately predicts the stability of correlation signs in high-dimensional data.
We argue that the word ``critical'' in the title is not purely literary. Based on our and other previous work on nonlinear complex dynamical systems, we summarize present evidence, on the Oct. 1929, Oct. 1987, Oct. 1987 Hong-Kong, Aug. 1998 global market events and on the 1985 Forex event, for the hypothesis advanced f…
DCFS predicts stock indices using deep learning and fuzzy systems.
problem Predicting stock indices with high-dimensional inputs.
method Bottom-up layer-by-layer design of DCFS, parameter sharing.
result DCFS models outperform weak estimators and real-world data.
Researchers found a canonical form for pairs of Hermitian and antilinear operators.
problem Simultaneous normalization of pairs of Hermitian and antilinear operators in differential geometry.
method Finding a canonical form for pairs of Hermitian and antilinear operators.
result Generalized previous results on simultaneous normalization of such pairs.
There are few known computable examples of non-abelian surface holonomy. In this paper, we give several examples whose structure 2-groups are covering 2-groups and show that the surface holonomies can be computed via a simple formula in terms of paths of 1-dimensional holonomies inspired by earlier work of Chan Hong-Mo…
Study uses Kalman-Filter to assess market efficiency in major stock markets.
problem Assessing market efficiency in major stock markets.
method Utilizes Kalman-Filter in two stages, assuming a trendline representing true market value.
result Significant portfolio returns in emerging and developed markets.
We present a systematic algorithm testing for the existence of collective self-organization in the behavior of agents in social systems, with a concrete empirical implementation on the Dow Jones Industrial Average index (DJIA) over the 20th century and on Hong Kong Hang Seng composite index (HSI) since 1969. The algori…
Keeping a basic tenet of economic theory, rational expectations, we model the nonlinear positive feedback between agents in the stock market as an interplay between nonlinearity and multiplicative noise. The derived hyperbolic stochastic finite-time singularity formula transforms a Gaussian white noise into a rich time…
New inequality derived for Heisenberg group heat kernel.
problem Logarithmic Sobolev inequality for Heisenberg group heat kernel.
method Inspired by Gross' method, uses Brownian bridge on Heisenberg group.
result Contains optimal inequality for Gaussian distribution in 2D.
China Vanke Co. faced a hostile takeover by Baoneng Group, sparking controversy.
problem A hostile takeover of China Vanke Co. by Baoneng Group.
method No specific method mentioned in the abstract.
result National controversy over corporate governance and government role in capital markets.
We study a pair (\mathcal{S}_0,\mathcal{S}) of irreducible Hermitian Symmetric Spaces of compact type (cHSS) in this paper, with the first aim being classifying all the admissible pairs (\mathcal{S}_0,\mathcal{S})). This notion is a natural generalization of the pairs of sub-diagram type originated by Jaehyun Hong and …
New model for network analysis using functional data.
problem Existing network models treat nodes as functions, but this paper introduces functional edges.
method Transform adjacency matrix into functional adjacency tensor, apply Tucker decomposition, regularize basis matrices, and solve tensor completion problem.
result The model effectively captures community structure and handles irregular functional edge data.
Unified model predicts disease spread using EMD and ensemble learning.
problem Predicting fluctuating disease spread and individual behavior.
method SEIS-A framework, EMD decomposition, ensemble learning, on-line query data.
result The method outperforms other methods in predicting HFMD consultation rates.
Computes bounds on mosaic number of Legendrian knots.
problem Determining the mosaic number of Legendrian knots.
method Using modified mosaic tiles and classical invariants, computed lower bounds and provided examples for sharpness.
result Sharp bounds on mosaic number of Legendrian knots in certain cases.