Cover Image

Analysis of a mean-field limit of interacting two-dimensional nonlinear integrate-and-fire neurons

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Veltz, Romain
Format:	Preprint
Published:	2025
Subjects:	Probability 60J75 (Primary) 60K35, 60G55, 45A05 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Rectangular Gilbert Tessellation
by: Ewers, Emily, et al.
Published: (2024)

Inverting Ray-Knight identities on trees
by: Li, Xiaodan, et al.
Published: (2022)

Poisson Hypothesis and large-population limit for networks of spiking neurons
by: Avitabile, Daniele, et al.
Published: (2025)

Percolation in the marked stationary Random Connection Model for higher-dimensional simplicial complexes
by: Pabst, Dominik
Published: (2025)

Propagation of chaos and Poisson Hypothesis for replica mean-field models of intensity-based neural networks
by: Davydov, Michel
Published: (2022)

Non-hyperuniformity of Gibbs point processes with short range interaction
by: Dereudre, David, et al.
Published: (2023)

A stochastic volatility approximation for a tick-by-tick price model with mean-field interaction
by: Pra, Paolo Dai, et al.
Published: (2025)

A Resolvent Approach to Metastability
by: Landim, C., et al.
Published: (2021)

On differentiability of reward functionals corresponding to Markovian randomized stopping times
by: Schultz, Boy
Published: (2024)

Pfaffian structure of basin walls for coalescing particles
by: Śniady, Piotr
Published: (2026)

Two-sided heat kernel bounds for $\sqrt{8/3}$-Liouville Brownian motion
by: Andres, Sebastian, et al.
Published: (2025)

Limit theory for Lipschitz-localized statistics in random geometric models
by: Błaszczyszyn, B., et al.
Published: (2026)

Characteristics of asymmetric switch processes with independent switching times
by: Bengtsson, Henrik, et al.
Published: (2024)

The Integrable Snake Model
by: Johnston, Samuel G. G., et al.
Published: (2025)

Limit theorems for the generator of a symmetric Levy process with the delta potential
by: Abildaev, Temirlan
Published: (2025)

Convex order and faster transmission in first contact percolation
by: Jahnel, Benedikt, et al.
Published: (2026)

Asymptotics for the growth of the infinite-parent Spatial Lambda-Fleming-Viot model
by: Louvet, Apolline, et al.
Published: (2024)

Characteristics of the switch process and geometric divisibility
by: Bengtsson, Henrik
Published: (2022)

Tractable description of hydrodynamic limits of a class of interacting jump processes on sparse graphs
by: Cocomello, Juniper, et al.
Published: (2025)

Long-range one-dimensional internal diffusion-limited aggregation
by: da Costa, Conrado, et al.
Published: (2024)

A Probabilistic Parking Process and Labeled IDLA
by: Harris, Pamela E., et al.
Published: (2025)

A characterization of equivalent martingale probability measures in a mixed renewal risk model with applications in Risk Theory
by: Tzaninis, Spyridon M., et al.
Published: (2020)

Multipoint connectivity in the branching interlacement process
by: Vanhaelewyn, Louis
Published: (2026)

Normal approximation for the polynomial functionals of correlated random field sampling along random walk path in dimension $1+1$
by: Huang, Ao, et al.
Published: (2026)

The stochastic evolution of an infinite population with logistic-type interaction
by: Kozitsky, Yuri, et al.
Published: (2024)

Quenched critical percolation on Galton-Watson trees
by: Archer, Eleanor, et al.
Published: (2023)

Tightness of approximations to metrics on non-simple conformal loop ensemble gaskets
by: Ambrosio, Valeria, et al.
Published: (2025)

Limit theorems for non-local functionals of smooth Gaussian fields via quasi-association
by: McAuley, Michael
Published: (2026)

Normal approximation for Gibbs processes via disagreement couplings
by: Hirsch, Christian, et al.
Published: (2023)

Structural properties of Gibbsian point processes in abstract spaces
by: Betsch, Steffen
Published: (2022)

One-arm probabilities for the two-dimensional metric-graph and discrete Gaussian free field
by: Bi, Yijie, et al.
Published: (2026)

The Triangle Condition for the Marked Random Connection Model
by: Dickson, Matthew, et al.
Published: (2022)

Critical Exponents for Marked Random Connection Models
by: Caicedo, Alejandro, et al.
Published: (2023)

Partially exchangeable Markov chains and characterisation of multitype Lambda-coalescents
by: Casanova, Adrián González, et al.
Published: (2025)

Kemeny's Constant for Markov Processes
by: Fitzsimmons, P. J.
Published: (2025)

A mean-field model of Integrate-and-Fire neurons: non-linear stability of the stationary solutions
by: Cormier, Quentin
Published: (2020)

A generalized central limit theorem for critical marked Hawkes processes
by: Talarczyk, Anna
Published: (2025)

Explicit correlation functions for the six-vertex model in the free-fermion regime
by: Johnston, Samuel G. G., et al.
Published: (2025)

On the uniqueness of the infinite cluster and the cluster density in the Poisson driven random connection model
by: Chebunin, Mikhail, et al.
Published: (2024)

On strong sharp phase transition in the random connection model
by: Chebunin, Mikhail, et al.
Published: (2025)