Topic
Asymptotology
About: Asymptotology is a research topic. Over the lifetime, 1319 publications have been published within this topic receiving 35831 citations.
Papers published on a yearly basis
Papers
More filters
••
TL;DR: In this article, an overview of recent developments in the area of asymptotic inference for non-ergodic type stochastic processes is presented, and both local and global formulations of the model are given, and non-local optimality results are reviewed.
Abstract: Summary
An overview of some recent developments in the area of asymptotic inference for non-ergodic type stochastic processes is presented. Both local and global formulations of the asymptotic model are given, and non-local optimality results are reviewed. Recent results on conditional inference are briefly discussed. Some open problems and possibilities for new developments are also mentioned.
3 citations
••
01 Jan 2007
TL;DR: In this paper, the Sturm-Liouville differential equation (r(t)x′)−1 p p−1, where p is a special case of a general half-linear second order differential equation.
Abstract: p−1 p p−1 . This equation is a special case of a general half-linear second order differential equation (r(t)Φ(x′))′ + c(t)Φ(x) = 0, (2) where Φ(x) := |x| sgn x, p > 1, and r, c are continuous functions, r(t) > 0 (in the studied equation (1) we have r(t) ≡ 1). Let us recall that similarly as in the linear case, which is a special case of (2) for p = 2 and equation (2) then reduces to the linear Sturm-Liouville differential equation (r(t)x′)′ + c(t)x = 0,
3 citations
••
TL;DR: In this article, asymptotic expansions in powers of the coupling constant λ for self-coupled boson fields with space cut-off polynomial interaction in two space-time dimensions were constructed.
Abstract: We construct the asymptotic expansions in powers of the coupling constant λ for the asymptotic fields and the scattering operatorS for self-coupled boson fields with space cut-off polynomial interaction in two space-time dimensions. These asymptotic expansions are then used to prove thatS*S=SS*=1 in the sense of asymptotic power series inλ on a dense set of states. The results apply also, under the additional assumption of an ultraviolet cut-off, to large classes of boson-boson, fermion-boson and fermion-fermion interactions as well as to boson nonpolynomial interactions (in all space-time dimensions).
3 citations
••
06 May 2008TL;DR: In this article, the authors studied the asymptotic behavior of solutions to a semilinear second-order parabolic equation in a cylindrical domain bounded in the spatial variable.
Abstract: We study the asymptotic behavior as t → +∞ of solutions to a semilinear second-order parabolic equation in a cylindrical domain bounded in the spatial variable. We find the leading term of the asymptotic expansion of a solution as t → +∞ and show that each solution of the problem under consideration is asymptotically equivalent to a solution of some nonlinear ordinary differential equation.
3 citations