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The Asymptotic Theory of Stochastic Games

Mathematics of Operations Research, 1976
We study two person, zero sum stochastic games. We prove that limn→∞{Vn/n} = limr→0rV(r), where Vn is the value of the n-stage game and V(r) is the value of the infinite-stage game with payoffs discounted at interest rate r > 0. We also show that V(r) may be expanded as a Laurent series in a fractional power of r.
Truman Bewley, Elon Kohlberg
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Asymptotic Control Theory

Journal of the Society for Industrial and Applied Mathematics Series A Control, 1964
Abstract : Some general problems are described concerning the asymptotic behavior of control processes as the time-interval becomes infinite. Some partial results in the general case, and a detailed analysis of a one- dimensional control process are presented.
Bellman, R., Bucy, R.
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A Distributional Theory of Asymptotic Expansions

Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1990
Abstract We present various techniques for the asymptotic expansions of generalized functions. We show that the moment asymptotic expansions hold for a very wide variety of kernels such as generalized functions of rapid decay and rapid oscillations.
R Estrada, R. P Kanwal
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Asymptotic Theory of Electroseismic Prospecting

SIAM Journal on Applied Mathematics, 2005
Summary: In a porous medium such as the earth's subsurface, electromagnetic (EM) waves and mechanical waves are coupled through the phenomenon of electrokinetics, for which a complete set of partial differential equations was derived by S. Pride. In this paper, we derive from Pride's equations an asymptotic theory that enables forward modeling of the ...
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An Asymptotic Problem in Derangement Theory

SIAM Journal on Mathematical Analysis, 1990
Summary: \(N\) elements, divided into sets of respective cardinalities \(\{n_ 1,n_ 2,\dots,n_ a\}\), \(k\) sets of each size, where \(N=k\sum^ a_{i=1} n_ i\), are given. The probability is considered that a random permutation of the \(N\) elements is a derangement, i.e., that it leaves none of the elements in the set to which it belonged initially.
Gillis, J.   +2 more
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Diffusion Theory via Asymptotics

Transport Theory and Statistical Physics, 1989
It is known that classic diffusion theory can lead to negative scalar fluxes if the external source of particles is anisotropic. The usual derivation of diffusion theory, via a truncated spherical harmonics expansion, gives no consistent way of dealing with this lack of positivity.
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Asymptotic Theory of the Boltzmann Equation

The Physics of Fluids, 1963
The precise mathematical relation that the Hilbert and Chapman-Enskog expansions bear to the manifold of solutions of the Boltzmann equation is described. These expansions yield inherently imprecise descriptions of a gas in terms of macroscopic fluid variables instead of a molecular distribution function.
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Asymptotic Symmetries in Gravitational Theory

Physical Review, 1962
It is pointed out that the definition of the inhomogeneous Lorentz group as a symmetry group breaks down in the presence of gravitational fields even when the dynamical effects of gravitational forces are completely negligible. An attempt is made to rederive the Lorentz group as an "asymptotic symmetry group" which leaves invariant the form of the ...
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An asymptotic theory for spherical shells

International Journal of Solids and Structures, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Asymptotic Properties of Perturbation Theory

Journal of Mathematical Physics, 1968
The perturbation expansions are derived by a technique which does not assume that convergent expansions exist. The theory is shown to be asymptotic, and criteria are developed to determine if a finite number of terms underestimates or overestimates the exact result for sufficiently small values of the coupling constant.
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