Collective behaviors of stochastic agent-based models and applications to finance and optimization
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Publication:6133473
DOI10.1142/s021820252350032xzbMath1517.34078OpenAlexW4360869590MaRDI QIDQ6133473
Seung-Yeal Ha, Euntaek Lee, Woojoo Shim, Dongnam Ko
Publication date: 24 July 2023
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s021820252350032x
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stability for nonlinear problems in mechanics (70K20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Asymptotic properties of solutions to ordinary differential equations (34D05) Biological rhythms and synchronization (92B25)
Cites Work
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- Optimization by Simulated Annealing
- The Pricing of Options and Corporate Liabilities
- Emergence of phase-locked states for the Kuramoto model in a large coupling regime
- On collision-avoiding initial configurations to Cucker-Smale type flocking models
- Asymptotic formation and orbital stability of phase-locked states for the Kuramoto model
- Synchronization in complex networks of phase oscillators: a survey
- Collective synchronization of classical and quantum oscillators
- Stochastic stability of differential equations. With contributions by G. N. Milstein and M. B. Nevelson
- A first-order reduction of the Cucker-Smale model on the real line and its clustering dynamics
- Swarms dynamics approach to behavioral economy: theoretical tools and price sequences
- On the complete phase synchronization for the Kuramoto model in the mean-field limit
- From particle to kinetic and hydrodynamic descriptions of flocking
- Mean field games
- On the aggregation of information in competitive markets
- Stochastic Cucker-Smale models: old and new
- Complete cluster predictability of the Cucker-Smale flocking model on the real line
- Continuous limit and the moments system for the globally coupled phase oscillators
- Emergent behaviors of Lohe tensor flocks
- Eulerian dynamics with a commutator forcing. III: Fractional diffusion of order \(0 < \alpha < 1\)
- Convergence and error estimates for time-discrete consensus-based optimization algorithms
- Eulerian dynamics with a commutator forcing. II: Flocking
- Emergence of stochastic flocking for the discrete Cucker-Smale model with randomly switching topologies
- Time-delayed stochastic volatility model
- Global solutions to multi-dimensional topological Euler alignment systems
- Geometric structure of mass concentration sets for pressureless Euler alignment systems
- Asymptotic phase-locking dynamics and critical coupling strength for the Kuramoto model
- Random batch methods (RBM) for interacting particle systems
- Convergence toward equilibrium of the first-order consensus model with random batch interactions
- Emergence of phase-locked states for the Winfree model in a large coupling regime
- Emergent collective behaviors of stochastic Kuramoto oscillators
- Practical synchronization of Winfree oscillators in a random environment
- On the interplay between behavioral dynamics and social interactions in human crowds
- A simple proof of the Cucker-Smale flocking dynamics and mean-field limit
- Emergence of time-asymptotic flocking in a stochastic Cucker-Smale system
- Synchronization analysis of Kuramoto oscillators
- Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle
- Lyapunov function for the Kuramoto model of nonlinearly coupled oscillators
- The spectrum of the locked state for the Kuramoto model of coupled oscillators
- Emergent dynamics of Winfree oscillators on locally coupled networks
- The spectrum of the partially locked state for the Kuramoto model
- Emergence of partial locking states from the ensemble of Winfree oscillators
- ON THE MATHEMATICAL THEORY OF THE DYNAMICS OF SWARMS VIEWED AS COMPLEX SYSTEMS
- Heterophilious Dynamics Enhances Consensus
- Fully synchronous solutions and the synchronization phase transition for the finite-N Kuramoto model
- A consensus-based model for global optimization and its mean-field limit
- Corrections to “Stochastic Barbalat's Lemma and Its Applications” [Jun 12 1537-1543]
- Flocking and synchronization of particle models
- Quantum synchronization over quantum networks
- Herding and Contrarian Behavior in Financial Markets
- Convergence of a first-order consensus-based global optimization algorithm
- Consensus-based optimization on hypersurfaces: Well-posedness and mean-field limit
- CREDIT RISK MODELING USING TIME-CHANGED BROWNIAN MOTION
- Global Phase-Locking in Finite Populations of Phase-Coupled Oscillators
- On Computing the Critical Coupling Coefficient for the Kuramoto Model on a Complete Bipartite Graph
- Non-Abelian Kuramoto models and synchronization
- An analytical framework for consensus-based global optimization method
- Eulerian dynamics with a commutator forcing
- Synchronization hypothesis in the Winfree model
- Existence of Partial Entrainment and Stability of Phase Locking Behavior of Coupled Oscillators
- An Introduction to Credit Risk Modeling
- A mathematical model for multi-name credit based on community flocking
- Swarming Patterns in a Two-Dimensional Kinematic Model for Biological Groups
- Synchronization on Riemannian Manifolds: Multiply Connected Implies Multistable
- Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives
- On Exponential Synchronization of Kuramoto Oscillators
- A consensus-based global optimization method for high dimensional machine learning problems
- Emergent Behaviors of Cucker–Smale Flocks on Riemannian Manifolds
- Multiflocks: Emergent Dynamics in Systems with Multiscale Collective Behavior
- Emergent behaviors of the discrete thermodynamic Cucker–Smale model on complete Riemannian manifolds
- Trends in Consensus-Based Optimization
- On the stochastic singular Cucker–Smale model: Well-posedness, collision-avoidance and flocking
- Towards a mathematical theory of behavioral human crowds
- Stochastic consensus dynamics for nonconvex optimization on the Stiefel manifold: Mean-field limit and convergence
- On the Stochastic Flocking of the Cucker--Smale Flock with Randomly Switching Topologies
- Stochastic persistency of nematic alignment state for the Justh–Krishnaprasad model with additive white noises
- A Cucker--Smale Inspired Deterministic Mean Field Game with Velocity Interactions
- Noise-Induced Phenomena in Slow-Fast Dynamical Systems
- Emergent dynamics of the first‐order stochastic Cucker‐Smale model and application to finance
- Stochastic flocking dynamics of the Cucker–Smale model with multiplicative white noises
- A proof of the Kuramoto conjecture for a bifurcation structure of the infinite-dimensional Kuramoto model
- Emergent Behavior in Flocks
- APPLICATION OF FLOCKING MECHANISM TO THE MODELING OF STOCHASTIC VOLATILITY
- A quest toward a mathematical theory of the dynamics of swarms
- Almost global consensus on the n-sphere
- A Convergence Result for the Kuramoto Model with All-to-All Coupling
- On the Critical Coupling for Kuramoto Oscillators
- Towards a mathematical theory of behavioral swarms
- Dynamics and Analysis of Alignment Models of Collective Behavior
- The mean-field limit of the Cucker-Smale model on complete Riemannian manifolds
- Probability
- Credit risk: Modelling, valuation and hedging
- Stochastic differential equations. An introduction with applications.
- On the mathematical theory of behavioral swarms emerging collective dynamics
