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On quantitative convergence to quasi-stationarity。
We consider a class of nonlinear Boltzmann equations describing return to thermal equilibrium in a gas of colliding particles suspended in a thermal medium. We study solutions in the space $L^{1}(\ma...
The paper considers gossip distributed estimation of a (static) distributed random field (a.k.a., large scale unknown parameter vector) observed by sparsely interconnected sensors, each of which only ...
We consider a general class of super-additive scores measuring the similarity of two independent sequences of $n$ i.i.d. letters from a finite alphabet. Our object of interest is the mean score by le...
We define the notion of log-Riemann surfaces and Caratheodory convergence of log-Riemann surfaces. We prove a convergence theorem for uniformizations of simply connected log-Riemann surfaces convergin...
We consider a supercritical branching process $(Z_n)$ in a random environment $\xi$. Let $W$ be the limit of the normalized population size $W_n=Z_n/E[Z_n|\xi]$. We first show a necessary and sufficie...
If a sequence of Riemannian manifolds, $X_i$, converges in the pointed Gromov-Hausdorff sense to a limit space, $X_\infty$, and if $E_i$ are vector bundles over $X_i$ endowed with metrics of Sasaki-t...
For a sequence in $\mathbb{L}^0_+$, we provide simple necessary and sufficient conditions to ensure that each sequence of its forward convex combinations converges to the same limit. These conditions ...
For a sequence of i.i.d. Banach space-valued random variables $\{X_{n}; ~n \geq 1 \}$ and a sequence of positive constants $\{a_{n}; ~n \geq 1 \}$, the relationship between the Baum--Katz--Spitzer com...
Let $ \{X,~X_{n};~n \geq 1 \}$ be a sequence of i.i.d. Banach space valued random variables and let $\{a_{n}; ~n \geq 1 \}$ be a sequence of positive constants such that \[ a_{n} \uparrow \infty ~~\mb...

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