Results 11 to 20 of about 6,982,939 (355)
Spectral Gap for the Growth-Fragmentation Equation via Harris's Theorem [PDF]
SIAM Journal on Mathematical Analysis, 2020 We study the long-time behaviour of the growth-fragmentation equation, a nonlocal linear evolution equation describing a wide range of phenomena in structured population dynamics.
J. Cañizo +2 more
semanticscholar +3 more sources
The Steady-State Growth Theorem: A Comment on Uzawa (1961)
, 2004 This brief note revisits the proof of the Steady-State Growth Theorem, first provided by Uzawa (1961). We provide a clear statement of the theorem and a new version of Uzawa's proof that makes the intuition underlying the result more apparent.
C. I. Jones, Dean Scrimgeour
semanticscholar +2 more sources
INVERSE THEOREMS FOR SETS AND MEASURES OF POLYNOMIAL GROWTH [PDF]
The Quarterly Journal of Mathematics, 2015 45 pages, no figures.
Terence Tao
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Sampling Theorem for Entire Functions of Exponential Growth
Journal of Mathematical Analysis and Applications, 2002 AbstractApplying the theory of generalized functions we obtain the Shannon sampling theorem for entire functions F(z) of exponential growth and give its error estimate which shows how much the error depends on the sampling size and bandwidth for given domain of the signal F(z).
Soon-Yeong Chung +2 more
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Liouville theorems for ancient solutions of subexponential growth to the heat equation on graphs [PDF]
arXiv, 2023 Mosconi proved Liouville theorems for ancient solutions of subexponential growth to the heat equation on a manifold with Ricci curvature bounded below. We extend these results to graphs with bounded geometry: for a graph with bounded geometry, any nonnegative ancient solution of subexponential growth in space and time to the heat equation is stationary,
Bobo Hua, Wenhao Yang
arxiv +3 more sources
Comparison Theorems for Sample Function Growth [PDF]
The Annals of Probability, 1981 The growth rate at 0 of a Levy process is compared with the growth rate at a local minimum, $m$, of the process. For the lim inf it is found that the growth rate at $m$ is the same as that on the set of "ladder points" following 0, parameterized by inverse local time; this result gives a precise meaning to the notion that a Levy process leaves its ...
P. W. Millar
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Boundary growth theorems for superharmonic functions [PDF]
Arkiv för Matematik, 1999 This paper examines the boundary behaviour of superharmonic functions on a half-space in terms of their behaviour along lines normal to the boundary. It is shown that, if the set of lines along which such functions grow quickly is (in a certain sense) metrically dense, then the set of lines along which they are bounded below is topologically small.
Stephen J. Gardiner
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Geometry of growth: approximation theorems for $L^2$ invariants [PDF]
Mathematische Annalen, 1998 AmsTex, 38 ...
Michael Färber
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A new proof of Gromov’s theorem on groups of polynomial growth [PDF]
Journal of the American Mathematical Society, 2009 We give a new proof of Gromov’s theorem that any finitely generated group of polynomial growth has a finite index nilpotent subgroup. The proof does not rely on the Montgomery-Zippin-Yamabe structure theory of locally compact groups.
Bruce Kleiner
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An equivalence theorem concerning population growth in a variable environment [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 We give conditions under which two solutions x and y of the Kolmogorov equation x˙=xf(t,x) satisfy limy(t)/x(t)=1 as t→∞. This conclusion is important for two reasons: it shows that the long-time behavior of the population is independent of the initial ...
Ray Redheffer, Richard R. Vance
doaj +2 more sources