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Bounds on the speed of propagation of the KPP fronts in a cellular flow
propagation KPP fronts cellular flow
2015/7/14
We consider a reaction-diffusion-advection equation with a nonlinearity of the KPP type in a cellular flow. We show that the minimal pulsating traveling front speed c∗(A) in a flow ofamplitude A...
On the nonlocal Fisher-KPP equation:steady states,spreading speed and global bounds
nonlocal Fisher-KPP equation steady states spreading speed global bounds
2015/7/14
We consider the Fisher-KPP equation with a non-local interaction term. We establish a condition on the interaction that allows for existence of non-constant periodic solutions,and prove uniform upper ...
Randomized Algorithms for Low-Rank Matrix Factorizations:Sharp Performance Bounds
Randomized Algorithms Low-Rank Matrix Factorizations Sharp Performance Bounds
2015/6/17
The development of randomized algorithms for numerical linear algebra, e.g. for computing approximate QR and SVD factorizations, has recently become an intense area of research. This paper studies one...
Euler's Partition Theorem with Upper Bounds on Multiplicities
partition Euler's partition theorem Sylvester's bijection
2014/6/3
We show that the number of partitions of n with alternating sum k such that the multiplicity of each part is bounded by 2m + 1 equals the number of partitions of n with k odd parts such that the multi...
Norm bounds for a transformed price vector in Sraffian systems
Norm bounds price vector Sraffian standard commodity
2010/9/20
This paper gives lower and upper bounds, which are expressed in terms of the ‘maximum column sum matrix norm’, for the largest and the smallest element of a transformed price vector in Sraffian system...
Bounds from a Card Trick
Bounds Card Trick
2010/11/24
We describe a new variation of a mathematical card trick, whose analysis leads to new lower bounds for data compression and estimating the entropy of Markov sources.
If k is a commutative field and G a reductive (connected) algebraic group over k, we give bounds for the orders of the finite subgroups of G(k); these bounds depends on the type of G and on the Galois...
We prove that if positive integer p-surgery along a knot K S3 produces an L-space and it bounds a sharp 4-manifold, then the knot genus obeys the bound 2g(K) 1 pp 3p + 1:Moreo...
Explicit Upper Bounds for the Average Order of $d_n$ and Applications to Class Number
Multiplicative number theory Average order Class number
2008/7/3
In this paper, we prove some explicit upper bounds for the average order of the generalized divisor function, and, according to an idea of Lenstra, we use them to obtain bounds for the class number of...
A Note on the Upper Bounds for the Dispersion.
Bounds for Asymptote Singularities of Certain Nonlinear Differential Equations
Bounded operator Comparison methods Generalized Emden-Fowler equations Nonlinear differential equations Vertical asymptote
2008/7/2
Bounds for Asymptote Singularities of Certain Nonlinear Differential Equations.
Bounds for Entropy and Divergence for Distributions over a Two-Element Set
Entropy divergence Pinsker's inequality
2008/7/2
Three results dealing with probability distributions (p,q) over a two-element set are presented. The two first give bounds for the entropy function H(p,q) and are referred to as the logarithmic and th...
Bounds for Linear Recurrences with Restricted Coefficients
Recurrence Restricted Coefficients Power Series Triangular Matrices
2008/7/2
This paper derives inequalities for general linear recurrences. Optimal bounds for solutions to the recurrence are obtained when the coefficients of the recursion lie in intervals that include zero. A...
Bounds for Zeta and Related Functions
Euler Zeta function Dirichlet beta eta and lambda functions Sharp bounds Cebysev functional
2008/7/2
Sharp bounds are obtained for expressions involving Zeta and related functions at a distance of one apart. Since Euler discovered in 1736 a closed form expression for the Zeta function at the even int...
Bounds on Certain Integral Inequalities
Integral inequalities Discrete inequalities Integral equations Partial derivatives Hyperbolic partial integrodifferential equation Sum-difference equation
2008/7/2
The main objective of this paper is to establish explicit bounds on certain integral inequalities and their discrete analogues which can be used as tools in the study of some classes of integral and s...