Found 1,016 Documents (Results 1–100)
A singular two-phase Stefan problem and particles interacting through their hitting times. (English) Zbl 07927494
Multi-colour competition with reinforcement. (English. French summary) Zbl 07923680
Generalized transport inequalities and concentration bounds for Riesz-type gases. (English) Zbl 07922276
Last passage percolation and limit theorems in Barak-Erdős directed random graphs and related models. (English) Zbl 07910047
Less interaction with forward models in Langevin dynamics: enrichment and homotopy. (English) Zbl 07906726
An explicit Milstein-type scheme for interacting particle systems and McKean-Vlasov SDEs with common noise and non-differentiable drift coefficients. (English) Zbl 07899447
Approximate solutions to the nonlinear hyperbolic population balance equation: convergence, error estimate and numerical simulations. (English) Zbl 07894006
Hypocoercivity and global hypoellipticity for the kinetic Fokker-Planck equation in \(H^k\) spaces. (English) Zbl 1541.82010
Solving a class of Fredholm integral equations of the first kind via Wasserstein gradient flows. (English) Zbl 07869147
A method of moments estimator for interacting particle systems and their mean field limit. (English) Zbl 1541.35485
Global density equations for interacting particle systems with stochastic resetting: from overdamped Brownian motion to phase synchronization. (English) Zbl 07864159
Flocking of a locally interacting multi-agent system with a unit speed constraint. (English) Zbl 07861237
Space-time fluctuations in a quasi-static limit. (English) Zbl 07851496
Reviewer: Arvind Ayyer (Bangalore)
Large deviations for singularly interacting diffusions. (English. French summary) Zbl 1537.60031
Reviewer: Ivan Podvigin (Novosibirsk)
Flocking of a thermodynamic Cucker-Smale model with local velocity interactions. (English) Zbl 07815362
Large deviations at level 2.5 and for trajectories observables of diffusion processes: the missing parts with respect to their random-walks counterparts. (English) Zbl 1532.60055
Reversible coalescing-fragmentating Wasserstein dynamics on the real line. (English) Zbl 1537.60104
Reviewer: Oleg K. Zakusilo (Kyïv)
On a class of solvable stationary non equilibrium states for mass exchange models. (English) Zbl 1532.60207
Convergence towards the population cross-diffusion system from stochastic many-particle system. (English) Zbl 07812206
Stochastic differential equations for Infinite particle systems of jump type with long range interactions. (English) Zbl 07810916
Fractal opinions among interacting agents. arXiv:2408.01624
Preprint, arXiv:2408.01624 [math.PR] (2024).
The iterative persuasion-polarization opinion dynamics and its mean-field analysis. arXiv:2408.00148
Preprint, arXiv:2408.00148 [physics.soc-ph] (2024).
On reduced inertial PDE models for Cucker-Smale flocking dynamics. arXiv:2407.18717
Preprint, arXiv:2407.18717 [math.AP] (2024).
Random Combinatorial Billiards and Stoned Exclusion Processes. arXiv:2406.07858
Preprint, arXiv:2406.07858 [math.PR] (2024).
Quantitative convergence guarantees for the mean-field dispersion process. arXiv:2406.05043
Preprint, arXiv:2406.05043 [math.PR] (2024).
Uniform-in-time estimates on the size of chaos for interacting Brownian particles. arXiv:2405.19306
Preprint, arXiv:2405.19306 [math.AP] (2024).
An interacting particle consensus method for constrained global optimization. arXiv:2405.00891
Preprint, arXiv:2405.00891 [math.OC] (2024).
Sticky dispersion on the complete graph: a kinetic approach. arXiv:2404.08868
Preprint, arXiv:2404.08868 [math.PR] (2024).
Quantitative Propagation of Chaos for Singular Interacting Particle Systems Driven by Fractional Brownian Motion. arXiv:2403.05454
Preprint, arXiv:2403.05454 [math.PR] (2024).
Relative entropy and modulated free energy without confinement via self-similar transformation. arXiv:2402.13977
Preprint, arXiv:2402.13977 [math.AP] (2024).
Stabilisation of stochastic single-file dynamics using port-Hamiltonian systems. arXiv:2401.17954
Preprint, arXiv:2401.17954 [math.DS] (2024).
Recent progress on limit theorems for large stochastic particle systems. (English. French summary) Zbl 1534.60144
On the universality from interacting particle systems. (English) Zbl 1533.60177
Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 6. Sections 12–14. Berlin: European Mathematical Society (EMS). 4326-4348 (2023).
Hydrodynamic limit and stochastic PDEs related to interface motion. (English) Zbl 1533.60175
Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 6. Sections 12–14. Berlin: European Mathematical Society (EMS). 4302-4325 (2023).
The most likely transition path for a class of distribution-dependent stochastic systems. (English) Zbl 1533.60104
Stochastic analysis of infinite particle systems – a new development in classical stochastic analysis and dynamical universality of random matrices. (English) Zbl 1532.60221
Sugaku Expo. 36, No. 2, 145-172 (2023); translation from Sūgaku 71, No. 3, 113-137 (2019).
Stochastic recursions on directed random graphs. (English) Zbl 07796462
Reviewer: Wasiur Rahman Khuda Bukhsh (Nottingham)
Classification of stationary distributions for the stochastic vertex models. (English) Zbl 1528.60101
The stochastic heat equation as the limit of a stirring dynamics perturbed by a voter model. (English) Zbl 1538.60159
Voter model under stochastic resetting. (English) Zbl 1530.91162
MSC:
91B12
Active particle in a harmonic trap driven by a resetting noise: an approach via Kesten variables. (English) Zbl 1524.60176
Gaussian fluctuations for interacting particle systems with singular kernels. (English) Zbl 1524.60271
Propagation of chaos for stochastic particle systems with singular mean-field interaction of \(L^q - L^p\) type. (English) Zbl 1533.60101
A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling. (English) Zbl 1525.35200
Reviewer: Lucio Galeati (Lausanne)
Coupled quantum harmonic oscillators and Feynman-Kac path integrals for linear diffusive particles. (English) Zbl 1520.60057
Porous medium equation and cross-diffusion systems as limit of nonlocal interaction. (English) Zbl 1525.35199
Reviewer: Zhuan Ye (Xuzhou)
Model reduction of Brownian oscillators: quantification of errors and long-time behavior. (English) Zbl 1518.60057
Trajectorial dissipation of \({\Phi}\)-entropies for interacting particle systems. (English) Zbl 1522.82013
Brownian structure in the KPZ fixed point. (English) Zbl 1530.82001
Astérisque 441. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-973-9/pbk). vii, 119 p. (2023).
Hierarchies, entropy, and quantitative propagation of chaos for mean field diffusions. (English) Zbl 1515.82109
Particle approximation of the doubly parabolic Keller-Segel equation in the plane. (English) Zbl 1534.60145
Consensus-based optimization via jump-diffusion stochastic differential equations. (English) Zbl 1515.60198
Mixing of the averaging process and its discrete dual on finite-dimensional geometries. (English) Zbl 1521.60018
Reviewer: Ilie Valuşescu (Bucureşti)
Reaction-diffusion models for a class of infinite-dimensional nonlinear stochastic differential equations. (English) Zbl 1516.60043
Reviewer: Alexandra Rodkina (College Station)
Pathwise regularisation of singular interacting particle systems and their mean field limits. (English) Zbl 1509.60173
Quasi-stationary distribution for Hamiltonian dynamics with singular potentials. (English) Zbl 1536.37008
Reviewer: Sebastien Boyabal (Chatou)
Strong approximation of non-autonomous time-changed McKean-Vlasov stochastic differential equations. (English) Zbl 1515.60219
Stationary solutions and local equations for interacting diffusions on regular trees. (English) Zbl 1503.60152
Macroscopic behaviour in a two-species exclusion process via the method of matched asymptotics. (English) Zbl 1502.60159
Derivation of the stochastic Burgers equation from totally asymmetric interacting particle systems. (English) Zbl 1515.60315
Convergence of exclusion processes and the KPZ equation to the KPZ fixed point. (English) Zbl 1520.60063
Collision times of multivariate Bessel processes with their Weyl chambers’ boundaries and their Hausdorff dimension. arXiv:2312.05420
Preprint, arXiv:2312.05420 [math.PR] (2023).
The attractive log gas: stability, uniqueness, and propagation of chaos. arXiv:2311.14560
Preprint, arXiv:2311.14560 [math.AP] (2023).
Multilevel Monte Carlo methods for the Dean-Kawasaki equation from Fluctuating Hydrodynamics. arXiv:2311.08872
Preprint, arXiv:2311.08872 [math.NA] (2023).
A biased dollar exchange model involving bank and debt with discontinuous equilibrium. arXiv:2311.07851
Preprint, arXiv:2311.07851 [math.PR] (2023).
Conditional McKean-Vlasov Differential Equations with Common Poissonian Noise: Propagation of Chaos. arXiv:2308.11564
Preprint, arXiv:2308.11564 [math.PR] (2023).
Non-equilibrium fluctuations for SEP(\(\alpha\)) with open boundary. arXiv:2308.09144
Preprint, arXiv:2308.09144 [math.PR] (2023).
Phase transitions of McKean-Vlasov SDEs in Multi-well Landscapes. arXiv:2307.16846
Preprint, arXiv:2307.16846 [math.PR] (2023).
Density fluctuations in weakly interacting particle systems via the Dean-Kawasaki equation. arXiv:2303.00429
Preprint, arXiv:2303.00429 [math.AP] (2023).
Equilibrium fluctuations for the symmetric exclusion process on a compact Riemannian manifold. (English) Zbl 07849093
Consensus-based sampling. (English) Zbl 1532.82005
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