Publications associées à Borne supérieure et borne inférieure

The number of double-normals in space

Given a set V of points in , two points p, q from V form a double-normal pair, if the set V lies between two parallel hyperplanes that pass through p and q, respectively, and that are orthogonal to the segment pq. In this paper we study the maximum number ...

Springer2016

Partial Recovery Bounds for the Sparse Stochastic Block Model

Volkan Cevher, Jonathan Mark Scarlett

In this paper, we study the information-theoretic limits of community detection in the symmetric two-community stochastic block model, with intra-community and inter-community edge probabilities

\frac{a}{n}

and

\frac{b}{n}

respectively. We consider the ...

Ieee2016

Existence and Uniqueness Theorems for the Two-Dimensional Ericksen-Leslie System

Tudor Ratiu

In this paper we study the two dimensional Ericksen-Leslie equations for the nematodynamics of liquid crystals if the moment of inertia of the molecules does not vanish. We prove short time existence and uniqueness of strong solutions for the initial value ...

Springer Verlag2016

On The Number Of Ordinary Conics

Frank de Zeeuw, Adrian Claudiu Valculescu

We prove a lower bound on the number of ordinary conics determined by a finite point set in R-2. An ordinary conic for S subset of R-2 is a conic that is determined by five points of S and contains no other points of S. Wiseman and Wilson proved the Sylves ...

Siam Publications2016

Lower bounds for Pythagoras numbers of function fields

David Maximilian Grimm

We show that the transcendence degree of a real function field over an arbitrary real base field is a strict lower bound for its Pythagoras number and a weak lower bound for all its higher Pythagoras numbers. ...

European Mathematical Soc2015

Bounds for Pach's Selection Theorem and for the Minimum Solid Angle in a Simplex

Jan Kyncl

We estimate the selection constant in the following geometric selection theorem by Pach: For every positive integer d, there is a constant such that whenever are n-element subsets of , we can find a point and subsets for every , each of size at least , suc ...

Springer2015

Upper bounds for Euclidean minima of abelian number fields

Eva Bayer Fluckiger, Piotr Aleksander Maciak

Le but de cet article est de donner des bornes supérieures pour les minima euclidiens de corps abéliens, en particulier dans le cas des corps abéliens de conducteurs des puissances de nombres premiers. ...

2015

Moments And Growth Indices For The Nonlinear Stochastic Heat Equation With Rough Initial Conditions

Robert Dalang, Le Chen

We study the nonlinear stochastic heat equation in the spatial domain R, driven by space-time white noise. A central special case is the parabolic Anderson model. The initial condition is taken to be a measure on R, such as the Dirac delta function, but th ...

Inst Mathematical Statistics2015

Upper bounds for the reach-avoid probability via robust optimization

Maryam Kamgarpour, John Lygeros, Tyler Summers

We consider finite horizon reach-avoid problems for discrete time stochastic systems. Our goal is to construct upper bound functions for the reach-avoid probability by means of tractable convex optimization problems. We achieve this by restricting attentio ...

2015

Second-order sensitivity of parallel shear flows and optimal spanwise-periodic flow modifications

François Gallaire, Edouard Boujo, Andrea Fani

The question of optimal spanwise-periodic modification for the stabilisation of spanwise-invariant flows is addressed. A second-order sensitivity analysis is conducted for the linear temporal stability of parallel flows U-0 subject to small-amplitude spanw ...

Cambridge University Press2015

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The number of double-normals in space

Partial Recovery Bounds for the Sparse Stochastic Block Model

Existence and Uniqueness Theorems for the Two-Dimensional Ericksen-Leslie System

On The Number Of Ordinary Conics

Lower bounds for Pythagoras numbers of function fields

Bounds for Pach's Selection Theorem and for the Minimum Solid Angle in a Simplex

Upper bounds for Euclidean minima of abelian number fields

Moments And Growth Indices For The Nonlinear Stochastic Heat Equation With Rough Initial Conditions

Upper bounds for the reach-avoid probability via robust optimization

Second-order sensitivity of parallel shear flows and optimal spanwise-periodic flow modifications

Lower bounds for Pythagoras numbers of function fields

Upper bounds for Euclidean minima of abelian number fields

The number of double-normals in space

Bounds for Pach's Selection Theorem and for the Minimum Solid Angle in a Simplex

Partial Recovery Bounds for the Sparse Stochastic Block Model

On The Number Of Ordinary Conics

Existence and Uniqueness Theorems for the Two-Dimensional Ericksen-Leslie System

Moments And Growth Indices For The Nonlinear Stochastic Heat Equation With Rough Initial Conditions

Upper bounds for the reach-avoid probability via robust optimization

Second-order sensitivity of parallel shear flows and optimal spanwise-periodic flow modifications