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Bounds on the suprema of Gaussian processes, and omega results for the sum of a random multiplicative function
suprema of Gaussian processes omega results random multiplicative function
2011/1/17
We prove new lower bounds for the upper tail probabilities of suprema of Gaussian processes. Unlike many existing bounds, our results are not asymptotic,but supply strong information when one is only ...
Wach modules and critical slope p-adic L-functions
p-adic L-function Wach module ordinary modular form.
2011/1/17
We study Kato and Perrin-Riou's critical slope p-adic L-function attached to an ordinary modular form using the methods of [LLZ10a]. We show that it may be decomposed as a sum of two bounded measures ...
We obtain an upper bound for the derivative of a Blaschke product, whose zeros lie in a certain Stolz-type region. We show that the derivative belongs to the space of analytic functions in the unit di...
Average best $m$-term approximation
nonlinear approximation best m-term approximation average widths
2010/12/1
We introduce the concept of average best m-term approximation widths with respect to a probability measure on the unit ball of ℓnp .
Maximal fillings of moon polyominoes, simplicial complexes, and Schubert polynomials
filling of moon polyomino k-triangulation fan of Dyck paths
2010/12/10
We exhibit a canonical connection between maximal (0, 1)-fillings of a moon polyomino avoiding north-east chains of a given length and reduced pipe dreams of a certain permutation.
Dependence of Repeated Interaction Asymptotic States on Environment
repeated interaction asymptotic states open quantum systems Liouville operator
2010/12/15
Consider a quantum system S that interacts sequentially with a chain (environment) of identical
probes C = P + P + : : :, with each interaction governed by a xed interaction time and operator V .I...
Groups with polynomial geodesic growth
Geodesic growth virtually nilpotent group with virtu-ally cyclic abelianization
2010/12/13
We study the geodesic growth function for finitely gen-erated groups, and we show that there is a strong relation be-tween virtually cyclic groups and the existence of generating sets
for which geode...
On the convergence of Chebyshev--Padé approximations to real-valued algebraic functions
Chebyshev--Padé approximations real-valued algebraic functions
2010/12/13
В работе анонсируются новые результаты о сходимости аппроксимаций Чебышёва–
Паде для вещественных алгебраических функций, заданных на отрезке [−1, 1]. Скорость
сходимости аппроксимаций на отре...
Polynomials non-negative on strips and half-strips
Polynomials non-negative strips half-strips
2010/12/8
Throughout, we work in the real polynomial ring in two variables, which we denote by R[x; y]. The set of sums of squares in R[x; y] is denoted by P R[x; y]2. Recently,M. Marshall [4] settled a long-st...
On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements
Lossless Approximations Fluctuation-Dissipation Theorem Limitations of Measurements
2010/12/6
In this paper, we take a control-theoretic approach to answering some standard questions in statistical mechanics, and use the results to derive limitations of classical measurements.
On the Stability and the Approximation of Branching Distribution Flows, with Applications to Nonlinear Multiple Target Filtering
Measure-valued equations nonlinear multi-target filtering Bernoulli filter
2010/12/3
We analyse the exponential stability properties of a class of measure-valued equations arising in nonlinear multi-target filtering problems. We also prove the uniform convergence properties w.r.t. the...
We say that a loop is unbreakable when it does not have nontrivial subloops. While the cyclic groups of prime order are the only unbreakable finite groups, we show that nonassociative unbreakable loop...
Ergodic approximation of the distribution of a stationary diffusion : rate of convergence
stochastic differential equation stationary process steady regime ergodic diffusion Central Limit Theorem Euler scheme
2010/11/26
We extend to Lipschitz continuous functionals either of the true paths or of the Euler scheme with decreasing step of a wide class of Brownian ergodic diffusions, the Central Limit Theorems formally e...
Direct spreading measures of Laguerre polynomials
Orthogonal polynomials Laguerre polynomials spreading lengths
2010/11/26
The direct spreading measures of the Laguerre polynomials L( )n (x), which quantify the distribution of its Rakhmanov probability density n, (x) = 1 d2 n x e−x h L( ) n (x)
i2 along the positi...
Let A {1, . . . ,N} and P1, . . . , Pℓ 2 Z[n] with Pi(0) = 0 and deg Pi = k for every 1 i ℓ.We show, using Fourier analytic techniques, that for every ε > 0, there necessarily exists...