MathOverflow

In the study of viscoelastic wave equations with memory, such as inS.~Berrimi and S.~A.~Messaoudi, Existence and decay of solutions of a viscoelastic equation with a nonlinear source,Nonlinear Analysis TMA 64 (2006),the relaxation (memory) function ...

Let us define natural equivalence between elements of Hardy fields and integrals of Dirac comb-like functions.
Let us assume a natural embedding of Hardy field into surreal numbers ($[x]=\omega$). Define an infinitesimal-free germ to be a sum of a purely infinite surreal number and a real number ($\mathbb{J}+\mathbb{R}$). In other words, its Conway normal form...

Let $X_1, X_2, \dots, X_n$ be $n$ samples from a discrete-time continuous-space Markov Chain.
Are there any good references who have provided a Chernoff-type bound regarding the behaviour of the ergodic mean $\bar X = \frac 1 n \sum_{i = 1}^n X_i$ for this type of chain?...

Any topological space $X$ defines a topos $\newcommand{\Sh}{\operatorname{Sh}}\Sh(X)$ of sheaves (of sets) on $X$, which has an internal language/logic: every such “internal” statement $\phi$ defines a property of topological spaces, namely “those for...