3,448,356 research outputs found
Martin Bucer: a reformer and his times
Title: Martin Bucer: a reformer and his times. Author: Greschat, Martin Martin Bucer xii, 340 p. Publisher: Louisville, Ky. : Westminster John Knox Press, 2004
The first non-zero Neumann p-fractional eigenvalue
In this work we study the asymptotic behavior of the first non-zero Neumann p-fractional eigenvalue λ1(s,p) as s → 1- and as p → ∞. We show that there exists a constant K such that K(1-s)λ1(s,p) goes to the first non-zero Neumann eigenvalue of the p-Laplacian. While in the limit case p → ∞, we prove that λ-(1,s)1/p goes to an eigenvalue of the Hölder ∞-Laplacian.Fil: del Pezzo, Leandro Martin. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones CientÃficas y Técnicas; ArgentinaFil: Salort, Ariel Martin. Consejo Nacional de Investigaciones CientÃficas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentin
Perfect Competition in a Bilateral Monopoly (In honor of Martin Shubik)
We show that if limit orders are required to vary smoothly, then strategic (Nash) equilibria of the double auction mechanism yield competitive (Walras) allocations. It is not necessary to have competitors on any side of any market: smooth trading is a substitute for price wars. In particular, Nash equilibria are Walrasian even in a bilateral monopoly.Limit orders, double auction, Nash equilibria, Walras equilibria, perfect competition, bilateral monopoly, mechanism design
Irreducible Scalar Many-Body Casimir Energies: Theorems and Numerical Studies
We define irreducible N-body spectral functions and Casimir energies and
consider a massless scalar quantum field interacting locally by positive
potentials with classical objects. Irreducible N-body spectral functions in
this case are shown to be conditional probabilities of random walks. The
corresponding irreducible contributions to scalar many-body Casimir energies
are finite and positive/negative for an odd/even number of objects. The force
between any two finite objects separable by a plane is always attractive in
this case. Analytical and numerical world-line results for the irreducible
four-body Casimir energy of a scalar with Dirichlet boundary conditions on a
tic-tac-toe pattern of lines are presented. Numerical results for the
irreducible three-body Casimir energy of a massless scalar satisfying Dirichlet
boundary conditions on three intersecting lines forming an isosceles triangle
are also reported. In both cases the symmetric configuration (square and
isosceles triangle) corresponds to the minimal irreducible contribution to the
Casimir energy.Comment: Writeup of talk given at QFEXT11 (Sept.18-24) in Benasque, Spain. 10
pages, 3 figure
The Cameron-Martin Theorem for (p-)Slepian processes
We show a Cameron-Martin theorem for Slepian processes
, where
and is Brownian motion. More exactly, we determine the class of functions
for which a density of with respect to exists. Moreover,
we prove an explicit formula for this density. p-Slepian processes are closely
related to Slepian processes. p-Slepian processes play a prominent role among
others in scan statistics and in testing for parameter constancy when data are
taken from a moving window
Martin boundary of a reflected random walk on a half-space
The complete representation of the Martin compactification for reflected
random walks on a half-space is obtained. It is shown that the
full Martin compactification is in general not homeomorphic to the ``radial''
compactification obtained by Ney and Spitzer for the homogeneous random walks
in : convergence of a sequence of points to a
point of on the Martin boundary does not imply convergence of the sequence
on the unit sphere . Our approach relies on the large
deviation properties of the scaled processes and uses Pascal's method combined
with the ratio limit theorem. The existence of non-radial limits is related to
non-linear optimal large deviation trajectories.Comment: 42 pages, preprint, CNRS UMR 808
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