The paper explores embedded quarters in hyperbolic geometry and limits of ends.
problem Understanding limits of embedded quarters and ends in hyperbolic geometry.
method Proved the existence of sequences of embedded quarters converging to hyperbolic plane ends.
result No algorithm exists to determine if two ends are equal.
In this paper, we study the Einstein warped products and multiply warped products with a quarter-symmetric connection. We also study warped products and multiply warped products with a quarter-symmetric connection with constant scalar curvature. Then apply our results to generalized Robertson-Walker spacetimes with a q…
Study on Einstein warped spaces with specific connections and curvature properties.
problem Characterizing Einstein warped spaces with quarter symmetric connections.
method Analyzing curvature, Ricci, and scalar tensors with quarter symmetric connections.
result Proves conditions under which an Einstein warped space becomes a Riemannian product space.
The paper studies ∗-η-Ricci-Yamabe solitons on α-Cosymplectic manifolds.
problem Exploring ∗-η-Ricci-Yamabe solitons on α-Cosymplectic manifolds. method Analyzing curvature properties and developing soliton characteristics with respect to quarter-symmetric metric connection.
result Characteristics and nature of ∗-η-Ricci-Yamabe solitons on α-Cosymplectic manifolds. The paper studies quarter-symmetric connections on Hermitian and Kähler manifolds.
problem Examining quarter-symmetric connections on almost Hermitian and Kähler manifolds.
method Analyzing the curvature tensors and their properties with respect to quarter-symmetric connections.
result Constructed tensors that do not depend on the quarter-symmetric connection generator, including the Weyl projective curvature tensor.
Study invariant submanifolds in (LCS)n-manifolds with quarter symmetric metric connection.
problem Characterize invariant submanifolds in (LCS)n-manifolds.
method Investigate invariant submanifolds with respect to quarter symmetric metric connection.
result Mean curvature of invariant submanifold is equal to the mean curvature with Levi-Civita connection.
Quarter-hour market bursts predict algorithmic trading and returns in crypto futures.
problem Predicting returns in cryptocurrency futures markets using quarter-hour market bursts.
method Analysis of trade data and Autocorrelation Map to identify and quantify algorithmic trading activity.
result Quarter-hour market bursts are associated with algorithmic trading and can predict returns.
The paper studies a new connection on Riemannian manifolds and finds conditions for symplectic manifolds.
problem Exploring a new quarter-symmetric non-metric connection on Riemannian manifolds.
method Analyzes the properties and relations of the torsion tensor and curvature tensors of the new connection.
result Conditions for a manifold to be symplectic when endowed with the new connection.
We show that if a simply connected manifold is almost quarter pinched then it is diffeomorphic to a CROSS (a compact rank one symmetric space) or a sphere.
The paper derives inequalities for submanifolds in quaternionic Kaehler manifolds.
problem Analyzing submanifolds in quaternionic Kaehler manifolds.
method Established Chen's and generalized Casorati curvature inequalities.
result Derived inequalities for submanifolds in quaternionic Kaehler manifolds.
Study characterizes submanifolds in metallic semi-Riemannian manifolds with specific connections.
problem Characterizing submanifolds in metallic semi-Riemannian manifolds.
method Introduces and analyzes invariant and screen semi-invariant lightlike submanifolds with a quarter symmetric non-metric connection.
result Characterizes integrability and parallelism of distributions in these submanifolds.
Using an artificial neural network (ANN), a fixed universe of approximately 1500 equities from the Value Line index are rank-ordered by their predicted price changes over the next quarter. Inputs to the network consist only of the ten prior quarterly percentage changes in price and in earnings for each equity (by quart…
Study of Ricci solitons on specific submanifolds.
problem Understanding Ricci solitons on invariant and anti-invariant submanifolds.
method Investigation of Ricci solitons on invariant and anti-invariant submanifolds of (LCS)n-manifolds with respect to both Riemannian and quarter symmetric metric connections. result Characterization of Ricci solitons on these submanifolds.
Machine learning predicts economic recessions better than traditional forecasting.
problem Difficulty in predicting economic recessions using traditional methods.
method Random Forest machine learning algorithm using financial market data.
result Random Forest can predict economic downturns six quarters in advance.
We say that a nonnegatively curved manifold (M,g) has quarter pinched flag curvature if for any two planes which intersect in a line the ratio of their sectional curvature is bounded above by 4. We show that these manifolds have nonnegative complex sectional curvature. By combining with a theorem of Brendle and Schoe…
Optimizes bidding in hourly and quarter-hourly electricity markets to reduce price impact.
problem Maximizing profit in two consecutive electricity markets with market impact and transaction costs.
method Examined multiple price scenarios, estimated market impact, used trading strategies, provided theoretical results.
result Minimizing price impact is more profitable than maximizing arbitrage in the German EPEX market.
Study geometric properties of SGL submanifolds in a specific manifold.
problem Analyzing geometric characteristics of SGL submanifolds.
method Examines integrability conditions and parallelism properties of distributions.
result Provides insights into geometric behavior of SGL submanifolds.
Paper proposes a new daily benchmark for post-GFC government bond CIP deviations.
problem Lack of a canonical daily benchmark for CIP deviations.
method Used G10 plus KRW currency-tenor panels to analyze three lagged public state variables.
result Three lagged public state variables deliver strong performance in daily regressions.
Study on totally real submanifolds in (LCS)n-manifolds.
problem Characterizing properties of totally real submanifolds in (LCS)n-manifolds. method Analysis of submanifolds with respect to Levi-Civita and quarter symmetric metric connections.
result Scalar curvature of C-totally real submanifolds is same for both connections.
This paper improves electricity price forecasting and analyzes economic benefits.
problem Improving accuracy of quarter-hourly electricity price forecasts.
method Proposes a multivariate elastic net regression model for German spot markets.
result Simple trading strategies with accurate forecasts can lead to substantial economic impact.
India's 2020-21 GDP growth forecast is projected at 1.9% due to COVID-19.
problem Impact of COVID-19 on India's 2020-21 GDP growth forecast.
method Quarterly GVA estimates using capacity utilisation assumptions and 2019-20 data.
result India's GDP growth in 2020-21 is expected to be 1.9%.
LSTMs outperform DFM in nowcasting COVID-19 economic variables.
problem Timely estimation of macroeconomic variables during the pandemic.
method Comparison of LSTM and DFM performance on three variables (export values, volumes, and services exports).
result LSTMs outperformed DFM in two-thirds of variable/quarter combinations.
Sphere theorems extended to Riemannian foliations with new results on curvature and leaf spaces.
problem Sphere theorems for Riemannian foliations with transverse curvature constraints.
method Deformation theory and Gromov-Hausdorff limits to prove sphere theorems.
result Complete Riemannian foliations with quarter-pinched transverse sectional curvature develop to simple foliations.
New generalized symmetric connections defined for Kenmotsu manifolds.
problem Characterizing new connections in Kenmotsu manifolds.
method Defined and analyzed new generalized symmetric connections (α,β) on Kenmotsu manifolds. result Provided results involving curvature tensors for Kenmotsu manifolds.
Generative model predicts NFT collection transactions based on early history.
problem Predict future transactions of newly minted NFT collections.
method Unsupervised learning to extract contexts, then generate future transactions.
result Projected market value of new NFT collections.
Investors often miss out on early exercise of American options with dividends, volatility, and jumps.
problem Investors suboptimal exercise of American call options on dividend-paying stocks.
method Used a fast numerical technique to analyze a large database of investor decisions and incorporated stochastic volatility and jumps in pricing models.
result Pricing models with stochastic volatility and jumps reduce the loss from suboptimal exercise by a quarter.
Study on new connections in para-Sasakian manifolds.
problem Exploring new generalized symmetric metric connections in para-Sasakian manifolds.
method Identified and utilized generalized symmetric connections of type (α,β) on Lorentzian para-Sasakian manifolds.
result Obtained new results involving curvature and Ricci tensors on para-Sasakian manifolds.
The paper classifies geometric structures of δ-almost Yamabe solitons on paracontact metric manifolds.
problem Characterizing δ-almost Yamabe solitons on paracontact metric manifolds.
method Investigation of geometric structures under specific assumptions, including quarter-symmetric non-metric connections.
result Conditions for δ-almost Yamabe solitons to be expanding, steady, or shrinking.
For this quarter of century, differential operators in a lower dimensional submanifold embedded or immersed in real n-dimensional euclidean space $\EE^n$ have been studied as quantum mechanical models, which are realized as restriction of the operators in $\EE^n$ to the submanifold. For this decade, the Dirac operato…
In a Riemannian manifold, the existence of a new connection is proved. In particular cases, this connection reduces to several symmetric, semi-symmetric and quarter-symmetric connections; even some of them are not introduced so far. We also find formula for curvature tensor of this new connection.
Paper uses interbank contagion to predict U.S. bank defaults, finding it highly explanatory.
problem Predicting U.S. bank defaults using interbank contagion.
method Regression and neural network models were used to analyze U.S. commercial bank data.
result Interbank contagion is highly explanatory in default prediction, often outperforming established metrics.
Moon phases added to stock market analysis for better pattern recognition.
problem Finding meaningful patterns in stock market data using irregular time sampling.
method Incorporating Moon phases into the Gregorian calendar time sampling methods for stock market analysis.
result Moon phases provide unique, irregular sampling features for stock market pattern recognition.
Positive braids have a signature bound by their Betti number.
problem Bounding the signature of positive braids.
method Using the first Betti number as a lower bound for the signature.
result The signature is bounded from below by one-quarter of the first Betti number.
We prove that compact Kähler manifolds whose sectional curvatures are close to 1/4-pinched have ratios of Chern numbers close to the corresponding ratios of a complex hyperbolic space form. We deduce that the Mostow-Siu surfaces (and their three-dimensional analogues constructed by the first author) do not admit Kähler…
Flat holonomies imply homotheticity in certain curved spaces.
problem Characterizing manifolds with specific holonomy properties.
method Analyzing horospheres and holonomy in curved spaces.
result Closed, strictly pinched negatively curved manifolds with matching holonomies are homothetic to hyperbolic spaces.
Quantum neural networks need both data-dependent and trainable unitaries for effective geometric deformation.
problem Quantum neural networks lack the geometric flexibility of classical networks due to limitations in state reachability.
method Viewing quantum states as embedded manifolds, we analyze infinitesimal unitary actions and introduce the CLA maps and aCLS criterion.
result Geometric flexibility in quantum neural networks requires a joint dependence on data and trainable weights.
Flat horospheres imply hyperbolicity in certain curved spaces.
problem Characterizing manifolds with flat horospheres.
method Analyzing quarter-pinched, negatively curved Riemannian manifolds.
result Existence of a flat horosphere implies the manifold is hyperbolic.
New bounds on topological slice genus for torus knots.
problem Estimating the topological slice genus of torus knots.
method Analyzing the locally flat slice genus and applying it to derive bounds.
result Best possible linear estimate of topological slice genus for torus knots with non-maximal signature.
Study pinching constants for Kähler manifolds with positive curvature.
problem Pinching constants of Kähler manifolds with positive holomorphic sectional curvature.
method Apply techniques from Riemannian pinching theory to Kähler geometry.
result Prove a gap theorem for Kähler manifolds with almost quarter-pinched holomorphic sectional curvature.
Study models contagion in Bitcoin network using Google matrices.
problem Analyzing financial contagion in Bitcoin network.
method Constructed Google matrices, calculated PageRank and CheiRank, modeled bankruptcy threshold.
result Phase transition at κ≈0.1, showing bankruptcy for most users.
Proposes a sparsity algorithm to improve corporate credit ratings.
problem Improving credit ratings of publicly traded companies.
method Formulates counterfactual explanation as an optimization problem and proposes a sparsity algorithm to maximize sparsity.
result The sparsity algorithm can capture features that improve credit ratings.
For any chord diagram on a circle there exists a complete graph on sufficiently many vertices such that any generic immersion of it to the plane contains a plane closed curve whose chord diagram contains the given chord diagram as a sub-chord diagram. For any generic immersion of the complete graph on six vertices to t…
The purpose of this paper is to give a counterexample of Theorem 10.4 in [Ann. of Math. 102 (1975), 223-290]. In the Harvey-Lawson paper, a global result is claimed, but only a local result is proven. This theorem has had a big impact on CR geometry for almost a quarter of a century because one can use the theory of is…
Study shows how certain curved bundles reduce their structure group.
problem Understanding how curvature affects bundle structure.
method Analyzes bundles with fibers as real projective spaces and positive curvature metrics.
result Structure group of bundles reduces when fibers have specific curvature properties.
Finite difference approximations to multi-asset American put option price are considered. The assets are modelled as a multi-dimensional diffusion process with variable drift and volatility. Approximation error of order one quarter with respect to the time discretisation parameter and one half with respect to the space…
Golden age of mathematical finance in the late 20th century.
problem Foundations of mathematical finance during the late 20th century.
method Collaboration between economists and probabilists.
result Established two fundamental theorems of arbitrage theory and close formulas for options.
Proves Yoshikawa eighth move's independence and finds minimal band moves.
problem Proving the independence of Yoshikawa eighth move and finding minimal generating set of band moves.
method Defining twisted diagrams and mirror cut surfaces, using surface-link groups.
result Proves independence of Yoshikawa eighth move and finds minimal generating set of band moves.
A new method for pricing options with flexible volatility shapes.
problem Parameterizing risk-neutral distributions for accurate option pricing.
method Parsimonious and interpretable parameters for direct control over implied volatility curves.
result Accurate calibration across a large dataset of option curves.