Results 1 to 10 of about 6,982,939 (355)
A finitary version of Gromov's polynomial growth theorem [PDF]
We show that for some absolute (explicit) constant $C$, the following holds for every finitely generated group $G$, and all $d >0$: If there is some $ R_0 > \exp(\exp(Cd^C))$ for which the number of elements in a ball of radius $R_0$ in a Cayley graph ...
Shalom, Yehuda, Tao, Terence
core +9 more sources
The hidden fluctuation-dissipation theorem for growth [PDF]
In a stochastic process, where noise is always present, the fluctuation-dissipation theorem (FDT) becomes one of the most important tools in statistical mechanics and, consequently, it appears everywhere. Its major utility is to provide a simple response
Márcio S. Gomes-Filho+1 more
semanticscholar +5 more sources
A Generalized Uzawa Growth Theorem
We prove a generalized, multi-factor version of the Uzawa steady-state growth theorem, Balanced growth with capital-augmenting technical change is possible when capital has a unitary elasticity of substitution with at least one other factor of production, Thus, a neoclassical growth model with three or more factors of production can be consistent with ...
Gregory Casey, Ryo Horii
semanticscholar +3 more sources
A GENERALIZED STEADY-STATE GROWTH THEOREM [PDF]
Is there an economic justification for why technical change is by assumption labor-augmenting in dynamic macroeconomics? The literature on the endogenous choice of capital- and labor-augmenting technical change finds that technical change is purely labor-
Andreas Irmen
semanticscholar +6 more sources
The Fractal Geometry of Growth: Fluctuation–Dissipation Theorem and Hidden Symmetry [PDF]
Growth in crystals can be usually described by field equations such as the Kardar-Parisi-Zhang (KPZ) equation. While the crystalline structure can be characterized by Euclidean geometry with its peculiar symmetries, the growth dynamics creates a fractal ...
Petrus H. R. dos Anjos+5 more
doaj +2 more sources
Stokes' theorem, volume growth and parabolicity
We present some new Stokes' type theorems on complete non-compact manifolds that extend, in different directions, previous work by Gaffney and Karp and also the so called Kelvin-Nevanlinna-Royden criterion for (p-)parabolicity. Applications to comparison
Valtorta, Daniele, Veronelli, Giona
core +5 more sources
Growth and remodelling from the perspective of Noether’s theorem
Abstract Starting from the observation that the growth of a body breaks the time translation symmetry of the body’s dynamics, we determine a scalar field, called internal time, that defines an indicator of the intrinsic time scale of the growth-related body’s structural evolution.
A. Grillo, S. D. Stefano, S. Federico
semanticscholar +4 more sources
A multidimensional Szemerédi theorem for Hardy sequences of different growth [PDF]
. We prove a variant of the multidimensional polynomial Szemeredi theorem of Bergelson and Leibman where one replaces polynomial sequences with other sparse sequences defined by functions that belong to some Hardy field and satisfy certain growth ...
N. Frantzikinakis
semanticscholar +5 more sources
Background and Objective: Currently, no published studies are available that compare central limit theorem model with traditionally used growth models in predictive food microbiology to describe bacterial growth behaviors of Pseudomonas spp.
FATIH TARLAK
doaj +1 more source
Dirichlet problems of fractional p-Laplacian equation with impulsive effects
The purpose of the article is to investigate Dirichlet boundary-value problems of the fractional p-Laplacian equation with impulsive effects. By using the Nehari manifold method, mountain pass theorem and three critical points theorem, some new results ...
Xiaolin Fan+2 more
doaj +1 more source