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Exponential growth of Betti numbers
 J. Pure. Appl. Algebra
, 1998
"... Abstract. We prove over some local commutative noetherian rings that the sequence of Betti numbers of every finitely generated module is either eventually constant or has termwise exponential growth. 1. ..."
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Cited by 7 (1 self)
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Abstract. We prove over some local commutative noetherian rings that the sequence of Betti numbers of every finitely generated module is either eventually constant or has termwise exponential growth. 1.
Exponential Growth in Ebola
, 2014
"... ontrary to general opinion, the current Ebola outbreak in West Africa followed an exponential growth curve starting already in midMay. The death toll followed an exponential growth curve with almost the same time constant, allowing direct calculation of the mortality of the outbreak. This value r ..."
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ontrary to general opinion, the current Ebola outbreak in West Africa followed an exponential growth curve starting already in midMay. The death toll followed an exponential growth curve with almost the same time constant, allowing direct calculation of the mortality of the outbreak. This value
On uniform exponential growth for solvable groups
, 2006
"... Abstract. Using a theorem of J. Groves we give a pingpong proof of Osin’s uniform exponential growth for solvable groups. We discuss slow exponential growth and show that this phenomenon disappears as one passes to a finite index subgroup. 1. ..."
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Cited by 13 (4 self)
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Abstract. Using a theorem of J. Groves we give a pingpong proof of Osin’s uniform exponential growth for solvable groups. We discuss slow exponential growth and show that this phenomenon disappears as one passes to a finite index subgroup. 1.
OPTIMIZING EXPONENTIAL GROWTH OF TRITICUM AESTIVUM
"... Optimizing exponential growth of Triticum aestivum by application of the relative addition rate (RAR) technique utilizing a computercontrolled nutrient delivery system ..."
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Optimizing exponential growth of Triticum aestivum by application of the relative addition rate (RAR) technique utilizing a computercontrolled nutrient delivery system
Exponential Growth Bias and Household Finance
 Journal of Finance
"... Exponential growth bias is the pervasive tendency to linearize exponential functions when assessing them intuitively. We show that exponential growth bias can explain two stylized facts in household finance: the tendency to underestimate an interest rate given other loan terms, and the tendency to u ..."
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Cited by 36 (5 self)
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Exponential growth bias is the pervasive tendency to linearize exponential functions when assessing them intuitively. We show that exponential growth bias can explain two stylized facts in household finance: the tendency to underestimate an interest rate given other loan terms, and the tendency
The Exponential Growth of Text Capture
, 2011
"... Approved for public release; distribution is unlimited. ..."
GROUP OF EXPONENTIAL GROWTH
, 709
"... Abstract. Let G be the Lie group R 2 ⋉ R + endowed with the Riemannian symmetric space structure. Let X0, X1, X2 be a distinguished basis of leftinvariant vector fields of the Lie algebra of G and define the Laplacian ∆ = −(X 2 0 +X 2 1 +X 2 2). In this paper we consider the first order Riesz tran ..."
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Abstract. Let G be the Lie group R 2 ⋉ R + endowed with the Riemannian symmetric space structure. Let X0, X1, X2 be a distinguished basis of leftinvariant vector fields of the Lie algebra of G and define the Laplacian ∆ = −(X 2 0 +X 2 1 +X 2 2). In this paper we consider the first order Riesz transforms Ri = Xi ∆ −1/2 and Si = ∆ −1/2 Xi, for i = 0, 1, 2. We prove that the operators Ri, but not the Si, are bounded from the Hardy space H 1 to L 1. We also show that the secondorder Riesz transforms Tij = Xi ∆ −1 Xj are bounded from H 1 to L 1, while the Riesz transforms Sij = ∆ −1 XiXj and Rij = XiXj ∆ −1, for i, j = 0, 1, 2, are not. 1.
ON EXPONENTIAL GROWTH RATES FOR FREE GROUPS
"... Let Fp be a free group of rank p ‚ 2. It is wellknown that, with respect to a pelement generating set, that is, a basis, the exponential growth rate of Fp is 2p ¡ 1. We show that the exponential growth rate ¿ of a group G with respect to a pelement generating set X is 2p ¡ 1 if and only if G is ..."
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Cited by 1 (0 self)
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Let Fp be a free group of rank p ‚ 2. It is wellknown that, with respect to a pelement generating set, that is, a basis, the exponential growth rate of Fp is 2p ¡ 1. We show that the exponential growth rate ¿ of a group G with respect to a pelement generating set X is 2p ¡ 1 if and only if G
Results 1  10
of
295,027