Study invariant metrics on Ledger-Obata spaces, classifying and constructing them.
problem Classify and construct invariant metrics on Ledger-Obata spaces.
method Classification and explicit construction of naturally reductive metrics, proving geodesic orbit properties.
result A Ledger-Obata space is geodesic orbit if and only if the metric is naturally reductive.
We introduce blockchains and distributed ledgers and describe their potential applications to money and banking. The analysis compares public and private ledgers and outlines the suitability of various types of ledgers for different purposes. Furthermore, a few historical prototypes of blockchains and distributed ledge…
In this paper, we study invariant Einstein metrics on Ledger-Obata spaces Fm/diag(F). In particular, we classify invariant Einstein metrics on F4/diag(F) and estimate the number of invariant Einstein metrics on general Ledger-Obata spaces Fm/diag(F).
This study aims to improve communication between fragmented blockchain systems in finance.
problem Inefficient and insecure communication in fragmented blockchain systems.
method Analysis of cross-chain interoperability protocols and their properties.
result Comparison and evaluation of cross-chain interoperability protocols.
Develops a model for cryptocurrency interest rates.
problem Modeling interest rates for cryptocurrencies.
method Term structure model with zero short rate, price processes of crypto bonds, and expressions for forward rates.
result Model can be calibrated to market data and uses strict local martingales for pricing kernels.
Cryptocurrencies use blockchain tech for secure transactions, offering new research opportunities.
problem Misunderstanding of cryptocurrency technology and lack of empirical data.
method Analyzing detailed transaction data and summarizing statistics.
result Opportunity for academic research in financial economics.
Study reveals strong price correlations between major and alt-coins.
problem Unclear tight relations between cryptocoins trading prices.
method Investigated coin-price correlation trends over two years.
result Strong correlation patterns between main and alt-coins.
Paper analyzes how money facilitates information exchange between people.
problem Difficulty in direct exchange of goods and services due to double coincidence of wants.
method Matrix representation of money to analyze the changing state information process.
result Money acts as a reliable ledger facilitating information exchange.
Study π-equigeodesic vectors in homogeneous fibrations.
problem Characterize vectors geodesic under various metrics in homogeneous fibrations.
method Algebraic criterion for π-equigeodesic vectors, applied to flag manifolds and Ledger-Obata spaces. result Obtain an algebraic criterion for π-equigeodesic vectors and apply it to specific spaces. In this paper, by modifying the argument shift method,we prove Liouville integrability of geodesic flows of normal metrics (invariant Einstein metrics) on the Ledger-Obata n-symmetric spaces $K^n/\diag(K)$, where K is a semisimple (respectively, simple) compact Lie group.
Decentralized finance uses blockchain for $70B in assets, differing from traditional finance.
problem Ensuring compliance and security in decentralized finance.
method Systematic analysis of legal, economic, security, and privacy aspects.
result Decentralized finance offers unique economic effects and security features.
This paper explores IT governance for CBDC adoption in financial markets.
problem Adopting CBDC requires new IT governance models in financial markets.
method Systematic Literature Review (SLR) of 14 studies on IT resources and governance models.
result Many IT resources and preliminary IT designs for CBDC governance identified.
Ideal attribution mechanisms track model interactions for faithful watermarks.
problem Ensuring models provide transparent and fair attribution decisions.
method Introducing ideal attribution mechanisms and a ledger for tracking model interactions.
result A unified framework for evaluating watermarking schemes, clarifying attainable guarantees.
Paper proposes a comprehensive taxonomy for crypto assets.
problem Lack of a holistic classification framework for crypto assets.
method Identified 14 attributes for classification, tested framework with cash and bitcoin.
result Proposes a structured classification framework for all types of assets.
The study examines how modernizing settlement infrastructure affects inside money elasticity and network efficiency.
problem Understanding the impact of modernizing settlement infrastructure on inside money elasticity and network efficiency.
method Constructed a panel dataset of 809 reform events across 24 advanced economies, decomposed into economic channels and phases, and used a T2S event-study and synthetic control method.
result Modernizing settlement infrastructure generates network-conditional balance sheet efficiencies, with an estimated +13.4 percent efficiency recovery from 2027-2032.
This study categorizes RWA tokenization challenges and solutions.
problem Navigating the gap between on-chain deterministic code and off-chain probabilistic reality.
method Taxonomy and comparative analysis of RWA protocols, legal and technical standards.
result RWA tokenization requires overcoming legal and technical interoperability issues.
Blockchain is a distributed database that keeps a chronologically-growing list (chain) of records (blocks) secure from tampering and revision. While computerisation has changed the nature of a ledger from clay tables in the old days to digital records in modern days, blockchain technology is the first true innovation i…
Paper examines how crypto-assets affect corporate governance of SMEs and public companies.
problem Impact of crypto-assets on corporate governance of SMEs and public companies.
method Analyzes various use cases of DLT technology and their effects on corporate governance.
result New stakeholders (crypto-assets holders) change governance of SMEs and public companies.
This paper proposes using DLT to expand SDRs for global stability.
problem Political instability and currency wars threaten global value chains.
method Proposes a two-step approach for IMF to integrate DLT into SDRs.
result SDRs can be redefined as a new reserve currency in a decentralized world.
Blockchain tech explored for data malls, provenance, and keyless payments.
problem No specific problem stated; focuses on technology applications.
method Discussion of blockchain applications in data malls, provenance, and keyless payments.
result Exploration of blockchain's potential in non-cryptocurrency areas.
We prove a monodromy theorem for local vector fields belonging to a sheaf satisfying the unique continuation property. In particular, in the case of admissible regular sheaves of local fields defined on a simply connected manifold, we obtain a global extension result for every local field of the sheaf. This generalizes…
This paper explains tax policy for crypto assets in a rapidly evolving tech landscape.
problem Rapid technological changes in crypto assets create regulatory and tax policy blind spots.
method Explains principles of crypto assets, their technology, and tax issues.
result Tax policies are lagging behind innovation in blockchain and crypto.
The paper assesses VASPs' solvency using multiple data sources.
problem Insolvency risk in VASPs without systematic auditing.
method Cross-referencing cryptoasset wallets, balance sheets, and supervisory data.
result Inconsistent data between DLT transactions and balance sheets for some VASPs.
Study XRP network, propose Flow Index to analyze transaction frequencies.
problem Analyze transaction frequencies in XRP network.
method Analyze XRP transaction history, propose Flow Index.
result Flow Index reveals bow-tie/walnut structure in XRP network.
Blockchain funds balance risk and return for various investors.
problem Creating diversified portfolios with risk parity for different risk appetites.
method Developed three funds (Alpha, Beta, Gamma) with distinct risk and return profiles, setting weights inversely proportional to risk.
result Blockchain enables investors to select their preferred risk-return combination and allocate wealth accordingly.
The paper explores how mining costs, rewards, and blockchain security are interconnected.
problem Understanding the interdependencies between mining costs, mining rewards, and blockchain security.
method Theoretical derivation and empirical analysis using daily crypto market data and autoregressive distributed lag approach.
result Cryptocurrency price and mining rewards are intrinsically linked to blockchain security outcomes.
Paper presents a risk management framework for blockchain protocols.
problem Blockchain protocol risks affecting DLT and digital assets.
method Developed a comprehensive risk management framework using traditional taxonomy.
result Structured approach to identify, measure, monitor and report blockchain protocol risks.
The notion of a Γ-symmetric space is a generalization of the classical notion of a symmetric space, where a general finite abelian group Γ replaces the group Z2. The case Γ=Zk has also been studied, from the algebraic point of view by V.Kac \cite{VK} and from the point of view of the differential geometry by…
The paper studies stability of Einstein metrics on non-simple Lie group homogeneous spaces.
problem Classifying compact homogeneous spaces with standard Einstein metrics.
method Analysis of scalar curvature functional and coindex.
result Most standard Einstein metrics on non-simple Lie group homogeneous spaces are unstable.
Method extracts taint flows to classify Bitcoin mining pools.
problem Understanding pseudonymous Bitcoin actors and their transactions.
method Taint analysis and graph embedding methods applied to taint flows.
result Taint flows from the same period show high similarity.
This study examines Bitcoin's transaction network and its impact on price dynamics.
problem Understanding the relationship between Bitcoin's transaction network and its price movements.
method Analysis of four different representations of Bitcoin's transaction network over nine years.
result Causal relationships exist between Bitcoin price movements and changes in its transaction network topology.
DyFEn simulates blockchain for fee setting in payment channels.
problem Dynamic fee setting in off-chain payment channels.
method Agent-based reinforcement learning in a blockchain simulation.
result Empirical results of reinforcement learning methods on dynamic fee setting.
This paper examines interest rates and market efficiency in DeFi loanable funds protocols.
problem Equilibrium of supply and demand for loanable funds in DeFi protocols.
method Review of interest rate mechanisms in Compound, Aave, and dYdX; empirical analysis of market efficiency and inter-connectedness.
result Interest rate rules in DeFi protocols do not always equilibrate supply and demand.
This paper examines anomalies and frauds in blockchain networks and proposes detection techniques.
problem Anomalies and frauds undermine blockchain networks' integrity and security.
method Statistical and machine learning methods, game-theoretic solutions, digital forensics, reputation-based systems, and risk assessment techniques.
result Practical applications and insights for enhancing blockchain network security.
This paper analyzes Ethereum blockchain using topology and geometry to uncover crypto-token price dynamics.
problem Lack of understanding on crypto-token price dynamics from blockchain data.
method Topological data analysis and functional data depth.
result Ethereum blockchain provides insights into crypto-token price dynamics not accessible with conventional methods.
This research compiles knowledge on decentralized exchanges with AMM protocols.
problem Improving and developing AMM-based decentralized exchanges.
method Established a general AMM framework, compared mechanics, discussed security and privacy.
result Illustrated conservation and slippage functions of AMM protocols.
Paper uses LLMs to detect financial anomalies.
problem Detecting irregular financial entries.
method Non-semantic financial data encoding with LLMs embeddings, tested 3 models.
result LLMs improve anomaly detection in financial data.
Biscotti uses blockchain for secure peer-to-peer ML without central coordination.
problem Secure and private multi-party machine learning with trust and poisoning attacks.
method Decentralized peer-to-peer ML using blockchain and cryptography.
result Biscotti protects privacy and model performance against 30% adversaries.
Paper introduces Cycles Protocol to integrate trade credit into market clearing.
problem Liquidity embedded in trade credit outside formal settlement infrastructures.
method Distributed, multilateral clearing mechanism based on double-entry accounting.
result Cycles Protocol maximizes balance sheet compression without redistributing counterparty risk.
Quantum theory reinterprets financial pricing by focusing on observable price transitions.
problem Traditional financial models rely on latent variables; this paper proposes a new observable approach.
method Shift operators, spectral calculus, and Lindblad semigroups are used to define observable frequency operators and convolution generators.
result The framework leads to a nonlocal pricing equation that converges to classical Black-Scholes-Merton under small mesh limits.
A digital euro protocol offers complete privacy and offline transactions using Groth-Sahai proofs.
problem Fragile digital payment solutions with privacy and offline transaction issues.
method Design and implementation of a Central Bank Digital Currency (CBDC) using Groth-Sahai zero-knowledge proofs.
result Complete privacy and offline transaction capability with retroactive double-spending detection.
The study analyzes how cross-chain interoperability affects decentralized lending protocols' performance.
problem Understudied cross-chain elements in DeFi lending risk management.
method Panel regression fixed effects and OLS models applied to empirical analysis.
result Cross-chain activity impacts protocol performance, with bridge volume being a critical driver.
Method preserves order in hierarchical clustering of ordered data.
problem Order preserving hierarchical clustering of directed acyclic graphs.
method Combination of classical hierarchical clustering and ultrametric fitting.
result Optimal clustering preserves both cluster quality and order.
Threadneedle is a multi-agent simulation framework, based on a full double entry book keeping implementation of the banking system's fundamental transactions. It is designed to serve as an experimental test bed for economic simulations that can explore the banking system's influence on the macro-economy under varying a…
AWARE-FX uses AI to audit foreign-exchange risk disclosures in corporate reports.
problem Weakly structured foreign-exchange risk disclosures in corporate reports.
method Combines lexicon, logic, encoders, and aggregation methods to convert text into traceable measures.
result FinBERT outperforms in most comparisons, improving F1 scores by up to 0.077.
Financial markets are not random, but hard to predict due to hidden causes and strategic use.
problem Hard to predict financial markets
method Disciplined thesis on the distinction between no-arbitrage, informational efficiency, and net exploitability
result Discovers that markets are hard to predict due to hidden causes and strategic use
In this article we continue the study of the geometry of k-D'Atri spaces, ≤n−1 (n denotes the dimension of the manifold), began by the second author. It is known that k-D'Atri spaces, k≥1, are related to properties of Jacobi operators Rv along geodesics, since she has shown that ${\…