Cover Image

On the Structure of Stationary Solutions to McKean-Vlasov Equations with Applications to Noisy Transformers

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Balasubramanian, Krishnakumar, Banerjee, Sayan, Rigollet, Philippe
Format:	Preprint
Published:	2025
Subjects:	Probability Artificial Intelligence Machine Learning Analysis of PDEs 35Q83, 35Q70, 34K18, 60H50, 82C22, 35B27
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Approximation of non-linear SPDEs with additive noise via weighted interacting particles systems: the stochastic McKean-Vlasov equation
by: Angeli, Letizia, et al.
Published: (2024)

The rigorous derivation of Vlasov equations with local alignments from moderately interacting particle systems
by: Wang, Jinhuan, et al.
Published: (2024)

Phase transitions of McKean-Vlasov SDEs in Multi-well Landscapes
by: Alecio, Alexander
Published: (2023)

Conditional McKean-Vlasov Differential Equations with Common Poissonian Noise: Propagation of Chaos
by: Hernández-Hernández, Daniel, et al.
Published: (2023)

Well-posedness of kinetic McKean-Vlasov equations
by: Pascucci, Andrea, et al.
Published: (2025)

The Lake equation as a supercritical mean-field limit
by: Rosenzweig, Matthew, et al.
Published: (2024)

Commutators, mean-field, and supercritical mean-field limits for Coulomb/Riesz gases
by: Rosenzweig, Matthew
Published: (2026)

Existence and uniqueness results for strongly degenerate McKean-Vlasov equations with rough coefficients
by: Pascucci, Andrea, et al.
Published: (2024)

Asymptotic Stability for Relativistic Vlasov-Maxwell-Landau System in Bounded Domain
by: Dong, Hongjie, et al.
Published: (2023)

Radiative Vlasov-Maxwell Equations
by: Constantin, Peter, et al.
Published: (2025)

The Local-well-posedness of the relativistic Vlasov-Maxwell-Landau system with the specular reflection boundary condition
by: Dong, Hongjie, et al.
Published: (2023)

Hydrodynamic limit for compressible Navier-Stokes-Vlasov-Poisson equations with local alignment force
by: Su, Yunfei, et al.
Published: (2025)

Propagation of moments for large data and semiclassical limit to the relativistic Vlasov equation
by: Leopold, Nikolai, et al.
Published: (2022)

Scattering map for the Vlasov--Poisson system with a repulsive harmonic potential
by: Huang, Wenrui, et al.
Published: (2026)

On a Vlasov-Fokker-Planck equation for stored electron beams
by: Cesbron, Ludovic, et al.
Published: (2023)

Nonlocal Approximation of Slow and Fast Diffusion
by: Craig, Katy, et al.
Published: (2023)

Global Semiclassical Limit from Hartree to Vlasov Equation for Concentrated Initial Data
by: Lafleche, Laurent
Published: (2019)

Global classical solutions to the ionic Vlasov-Poisson-Boltzmann system in a 3D periodic box
by: Li, Fucai, et al.
Published: (2025)

Hydrodynamic limit and Newtonian limit from the relativistic Vlasov-Maxwell-Boltzmann system to the classical Euler-Poisson system
by: Wang, Yong, et al.
Published: (2026)

From many-body quantum dynamics to the Hartree-Fock and Vlasov equations with singular potentials
by: Chong, Jacky J., et al.
Published: (2021)

An H-theorem for a conditional McKean-Vlasov process related to interacting diffusions on regular trees
by: Hu, Kevin, et al.
Published: (2024)

McKean-Vlasov equations and nonlinear Fokker-Planck equations with critical singular Lorentz kernels
by: Röckner, Michael, et al.
Published: (2025)

Well-posedness and long-time behavior for self-consistent Vlasov-Fokker-Planck equations with general potentials
by: Gervais, Pierre, et al.
Published: (2024)

Fluctuations around the mean-field limit for attractive Riesz potentials in the moderate regime
by: Chen, Li, et al.
Published: (2024)

Stability Estimates in Kinetic Wasserstein Distances for the Vlasov-Poisson System with Yudovich Density
by: Junné, Jonathan, et al.
Published: (2025)

A sharp commutator estimate for all Riesz modulated energies
by: Hess-Childs, Elias, et al.
Published: (2025)

Derivation of the Vlasov-Maxwell system from the Maxwell-Schrödinger equations with extended charges
by: Leopold, Nikolai, et al.
Published: (2023)

Propagation of chaos and hydrodynamic description for topological models
by: Benedetto, Dario, et al.
Published: (2023)

Derivation of the Maxwell-Schrödinger and Vlasov-Maxwell Equations from Non-Relativistic QED
by: Leopold, Nikolai
Published: (2024)

Reconstruction of the Doping Profile in Vlasov-Poisson
by: Lai, Ru-Yu, et al.
Published: (2024)

Scattering of the Vlasov-Riesz system in the three dimensions
by: Huang, Wenrui, et al.
Published: (2024)

Stability estimates for the Vlasov-Poisson system in $p$-kinetic Wasserstein distances
by: Iacobelli, Mikaela, et al.
Published: (2022)

Alignment with nonlinear velocity couplings: collision-avoidance and micro-to-macro mean-field limits
by: Choi, Young-Pil, et al.
Published: (2024)

Uniqueness criteria for the Vlasov--Poisson system and applications to semiclassical analysis
by: Lafleche, Laurent, et al.
Published: (2023)

An alternative approach to well-posedness of McKean-Vlasov equations arising in Consensus-Based Optimization
by: Baldi, Alessandro
Published: (2025)

On the $L^2$ Rate of Convergence in the Limit from the Hartree to the Vlasov$\unicode{x2013}$Poisson Equation
by: Chong, Jacky J., et al.
Published: (2022)

Convergence of cluster coagulation dynamics
by: Andreis, Luisa, et al.
Published: (2024)

The gyrokinetic limit for the two dimensional Vlasov-Poisson system with multi-point charges
by: Wu, Jingpeng
Published: (2023)

Diffusive Limit of the Vlasov-Poisson-Boltzmann System without Angular Cutoff
by: Xu, Yuan, et al.
Published: (2023)

Essentials of the kinetic theory of multi-agent systems
by: Loy, Nadia, et al.
Published: (2025)