Global solvability of a networked integrate-and-fire model of McKean-Vlasov type

The extension from Bernoulli to multiple Bernoulli polynomials will be done using a generalization of the Hurwitz zeta function: the Hurwitz multiple zeta

The second order perturbation analysis discussed in this article has been used with success in [27, 28, 30] to analyze the stability properties of Feynman-Kac type particle models,

A variational formulation is employed to establish sufficient conditions for the existence and uniqueness of a solution to the ITP, provided that the excitation frequency does

In that case, a spike is emitted when the membrane potential blows up and subsequently we reset the membrane potential to a fixed value c and add to the value of adaptation variable

Stable autoregressive process, Least squares estimation, Asymptotic properties of estimators, Residual autocorrelation, Statistical test for residual correlation, Durbin-

As a consequence of this result and of the Perron’s method we get the existence of a continuous solution of the Dirichlet problem related to the prescribed Levi curvature equation

We conclude about the existence of imaginary quadratic fields, p-rational for all p ≥ 2 (Angelakis–Stevenhagen on the concept of “minimal absolute abelian Galois group”) which

This paper is concerned with numerical approximations for a class of nonlinear stochastic partial differential equations: Zakai equation of nonlinear filtering problem and