#ergodicity
4 papers · 1 filter
Persistent Gaussian Perturbations Prevent Oversmoothing in Recurrent Graph Neural Networks
Mostafa Haghir Chehreghani
The paper shows that injecting independent Gaussian noise after each step of a recurrent graph neural network creates a stochastic dynamical system that remains diverse, proving ma…
The ergodicity of nonlinear McKean-Vlasov stochastic differential equations with common noise
Xing Chen, Xiaoyue Li, Chenggui Yuan
The paper investigates the long‑time behavior of nonlinear McKean‑Vlasov stochastic differential equations with common noise, constructing a lifted semigroup to prove existence and…
No infinite clusters at criticality for two-dimensional dependent percolation under abstract hypotheses
Rangel Baldasso
The paper provides a general set of conditions that guarantee no infinite clusters appear at the critical point for a wide range of two‑dimensional dependent percolation models, an…
McKean-Vlasov SDEs with Bounded Measurable Interaction
Xing Huang
The paper studies McKean‑Vlasov stochastic differential equations whose drift interaction is only bounded and measurable, deriving a variation‑norm regularity estimate for the asso…