Results 21 to 30 of about 1,023 (102)
On the decoupled Markov group conjecture
Bulletin of the London Mathematical Society, Volume 53, Issue 1, Page 240-247, February 2021., 2021 Abstract The Markov group conjecture, a long‐standing open problem in the theory of Markov processes with countable state space, asserts that a strongly continuous Markov semigroup T=(Tt)t∈[0,∞) on ℓ1 has bounded generator if the operator T1 is bijective. Attempts to disprove the conjecture have often aimed at glueing together finite‐dimensional matrix
Jochen Glück
wiley +1 more source
Optimal control of a large dam [PDF]
, 2006 A large dam model is an object of study of this paper. The parameters $L^{lower}$ and $L^{upper}$ are its lower and upper levels, $L=L^{upper}-L^{lower}$ is large, and if a current level of water is between these bounds, then the dam is assumed to be in ...
Abdel-Hameed +11 more
core +7 more sources
A note on the finitization of Abelian and Tauberian theorems
Mathematical Logic Quarterly, Volume 66, Issue 3, Page 300-310, October 2020., 2020 Abstract We present finitary formulations of two well known results concerning infinite series, namely Abel's theorem, which establishes that if a series converges to some limit then its Abel sum converges to the same limit, and Tauber's theorem, which presents a simple condition under which the converse holds. Our approach is inspired by proof theory,
Thomas Powell
wiley +1 more source
Asymptotic formulas for stacks and unimodal sequences [PDF]
, 2013 We study enumeration functions for unimodal sequences of positive integers, where the size of a sequence is the sum of its terms. We survey known results for a number of natural variants of unimodal sequences, including Auluck's generalized Ferrer ...
Bringmann, Kathrin, Mahlburg, Karl
core +2 more sources
Gaussian Behavior of Quadratic Irrationals [PDF]
, 2020 We study the probabilistic behaviour of the continued fraction expansion of a quadratic irrational number, when weighted by some "additive" cost. We prove asymptotic Gaussian limit laws, with an optimal speed of convergence.
Cesaratto, Eda, Vallée, Brigitte
core +2 more sources
The weak Pleijel theorem with geometric control [PDF]
, 2015 Let $\Omega\subset \mathbb R^d\,, d\geq 2$, be a bounded open set, and denote by $\lambda\_j(\Omega), j\geq 1$, the eigenvalues of the Dirichlet Laplacian arranged in nondecreasing order, with multiplicities.
Bérard, Pierre, Helffer, Bernard
core +5 more sources
Sojourn measures of Student and Fisher-Snedecor random fields [PDF]
, 2014 Limit theorems for the volumes of excursion sets of weakly and strongly dependent heavy-tailed random fields are proved. Some generalizations to sojourn measures above moving levels and for cross-correlated scenarios are presented.
Leonenko, Nikolai, Olenko, Andriy
core +2 more sources
Voronoi means, moving averages, and power series [PDF]
, 2016 We introduce a {\it non-regular} generalisation of the N\"{o}rlund mean, and show its equivalence with a certain moving average. The Abelian and Tauberian theorems establish relations with convergent sequences and certain power series.
Bingham, N. H., Gashi, Bujar
core +2 more sources
Optimal Tauberian constant in Ingham's theorem for Laplace transforms [PDF]
, 2018 It is well known that there is an absolute constant $\mathfrak{C}>0$ such that if the Laplace transform $G(s)=\int_{0}^{\infty}\rho(x)e^{-s x}\:\mathrm{d}x$ of a bounded function $\rho$ has analytic continuation through every point of the segment $(-i ...
Debruyne, Gregory, Vindas, Jasson
core +3 more sources
General logarithmic control modulo and Tauberian remainder theorems
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2023 Let $\lambda=(\lambda_n)$ be a nondecreasing sequence of positive numbers such that $\lambda_n\to\infty$. A sequence $(\xi_n)$ is called $\lambda$-bounded if \begin{equation*} \lambda_n(\xi_n-\alpha)=O(1)\end{equation*} with the limit $\displaystyle{\lim_{n\rightarrow \infty}\xi_n=\alpha}$.
openaire +2 more sources