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Asymptotic equivalence of quantum stochastic models [PDF]
Journal of Mathematical Physics, 2019 We introduce the notion of perturbations of quantum stochastic models using the series product and establish the asymptotic convergence of sequences of quantum stochastic models under the assumption that they are related via a right series product perturbation.
Luc Bouten, John E. Gough
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Asymptotic Equivalence for Nonparametric Regression
, 2002 We consider a nonparametric model $\mathcal{E}^{n},$ generated by independent observations $X_{i},$ $i=1,...,n,$ with densities $p(x,θ_{i}),$ $i=1,...,n,$ the parameters of which $θ_{i}=f(i/n)\in Θ$ are driven by the values of an unknown function $f:[0,1]\rightarrow Θ$ in a smoothness class.
Grama, Ion, Nussbaum, Michael
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Asymptotic -Algebras from -Actions on Higher Rank Graphs
Abstract and Applied Analysis, 2013 For a dynamical system arising from -action on a higher rank graph with finite vertex set, we show that the semidirect product of the asymptotic equivalence relation groupoid is essentially principal if and only if the -graph satisfies the aperiodic ...
Inhyeop Yi
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ASYMPTOTIC COARSE LIPSCHITZ EQUIVALENCE
, 2023 We introduce the notion of asymptotic coarse Lipschitz equivalence of metric spaces. We show that it is strictly weaker than coarse Lipschitz equivalence. We study its impact on the asymptotic dimension of metric spaces.
Lancien, Gilles +1 more
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Asymptotic statistical equivalence for scalar ergodic diffusions [PDF]
, 2004 For scalar diffusion models with unknown drift function asymptotic equivalence in the sense of Le Cam's deficiency between statistical experiments is considered for long-time asymptotics.
Reiß, Markus +3 more
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Background risk model in presence of heavy tails under dependence
Nonlinear AnalysisIn this paper, we examine two problems on applied probability, which are directly connected with the dependence in presence of heavy tails. The first problem is related to max-sum equivalence of the randomly weighted sums in bivariate setup. Introducing
Dimitrios G. Konstantinides +1 more
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Contractions of Product Density Operators of Systems of Identical Fermions and Bosons
International Journal of Mathematics and Mathematical Sciences, 2010 Recurrence and explicit formulae for contractions (partial traces) of antisymmetric and symmetric products of identical trace class operators are derived. Contractions of product density operators of systems of identical fermions and bosons are proved to
Wiktor Radzki
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Stochastic Systems, 2015 We consider a queueing system composed of a dispatcher that routes jobs to a set of non-observable queues working in parallel. In this setting, the fundamental problem is which policy should the dispatcher implement to minimize the stationary mean ...
Jonatha Anselmi +2 more
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Asymptotically unitary equivalence and asymptotically inner automorphisms [PDF]
American Journal of Mathematics, 2009 Let $C$ be a unital AH-algebra and let $A$ be a unital separable simple $C^*$-algebra with tracial rank zero. Suppose that $\phi_1, \phi_2\colon \ C\to A$ are two unital monomorphisms. We show that there is a continuous path of unitaries $\{u_t\colon \ t\in [0, \infty)\}$ of $A$ such that $$ \lim_{t\to\infty}u_t^*\phi_1(a)u_t=\phi_2(a)\quad\hbox{\rm ...
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A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam +2 more
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