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Distributed Storage Codes with Repair-by-Transfer and Non-achievability of Interior Points on the Storage-Bandwidth Tradeoff
Repair-by-Transfer Non-achievability Interior Points Storage-Bandwidth Tradeoff
2010/11/17
Regenerating codes are a class of recently developed codes for distributed storage that, like Reed-Solomon codes, permit data recovery from any subset of k nodes within the n-node network. However, r...
The Stationary Behaviour of Fluid Limits of Reversible Processes is Concentrated on Stationary Points
Stationary Behaviour Fluid Limits of Reversible Processes Stationary Points
2010/12/13
Assume that a stochastic processes can be approximated, when some scale parameter
gets large, by a fluid limit (also called “mean field limit”, or “hydrodynamic limit”). A
common practice, often cal...
Asymptotics of coefficients of multivariate generating functions: improvements for multiple points
analytic combinatorics multivariate higher-order terms singularity analysis
2010/12/14
Let F(x) = P 2Nd Fx be a multivariate power series with complex coefficients that converges in a neighborhood of the origin. Assume F = G/H for some functions G and H holomorphic in a neighborhood ...
Positive solutions of Schrödinger equations and fine regularity of boundary points
Schrö dinger equations fine regularity of boundary points
2010/12/9
Given a Lipschitz domain in RN and a nonnegative potential V in such that V (x) d(x.
Fixed points of the smoothing transform: Two-sided solutions
Branching random walk characteristic function general branching processes
2010/12/6
Given a sequence (C, T) = (C, T1, T2, . . .) of real-valued random variables with Tj ≥ 0 for all j ≥ 1 and almost surely finite N = sup{j ≥1 : Tj > 0}, the smoothing transform associated with (C, T), ...
Asymptotic solutions and eigenvalues of second-order differential equations with poles and turning points
Eigenvalues singularity turning point
2010/9/13
Using of the asymptotic estimates provided in [2] for a special fundamental system of solutions of Sturm-Liouville equation, we study the asymptotic estimates for a special fundamental system of solut...
Density of rational points on elliptic surfaces
Density of rational points elliptic surfaces
2010/12/9
Suppose V is a surface over a number field k that admits two elliptic fibrations. We show that for each integer d there exists an explicitly computable closed subset Z of V , not equal to V , such tha...
A sharp bound on fixed points of surface symplectomorphisms in each mapping class
sharp bound fixed points of surface symplectomorphisms
2010/11/29
Given a closed, oriented surface , possibly with boundary, and a mapping class, we obtain sharp lower bounds on the number of xed points of a surface symplectomorphism (i.e. area-preserving map) in ...
On intersection lattices of hyperplane arrangements generated by generic points
discriminantal arrangements M¨obius function characteristic polyno-mial enumeration of elements
2010/12/8
We consider hyperplane arrangements generated by generic points and study their intersection lattices. These arrangements are known to be equivalent to discriminantal arrangements. We show a fundament...
Asymptotic of geometrical navigation on a random set of points of the plane
Asymptotic of geometrical navigation random set of points plane
2010/12/10
A navigation on a set of points is a rule for choosing which point to move to from the
present point in order to progress toward a specified target. In the present paper we study
some “geometrical b...
Lifting, restricting and sifting integral points on affine homogeneous varieties
integral points affine homogeneous varieties
2010/12/13
In [GN2] an effective solution of the lattice point counting problem in general domains in semisimple S-algebraic groups and affine symmetric varieties was established. The method relies on the mean e...
Critical Brownian sheet does not have double points
Brownian sheet multiple points capacity Hausdorff dimension
2010/11/26
We derive a decoupling formula for the Brownian sheet which has the following ready consequence: An N-parameter Brownian sheet in Rd has double points if and only if 2(d − 2N) < d. In particular...
Rational points over finite fields for regular models of algebraic varieties of Hodge type $\geq 1$
Rational points algebraic varieties of Hodge type $\geq 1$
2010/11/26
Let R be a discrete valuation ring of mixed characteristics (0, p), with finite residue field k and fraction field K, let k′ be a finite extension of k, and let X be a regular, proper and flat R-schem...
Let f be a transcendental entire function and let A(f) denote the set of points that escape to infinity ‘as fast as possible’ under iteration. By writing A(f) as a countable union of closed sets, call...
In this short note, we study the geometry of the eigenvariety parametrising p-adic automorphic forms for GL1 over a number field, as constructed by Buzzard. We show that if K is not totally real and c...