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On the range, local times and periodicity of random walk on an interval
range random walk local times periodicity
2010/12/9
The range, local times, and periodicity of symmetric, weakly asymmetric and asymmetric random walks at the time of exit from a strip with N locations are considered. Several results on asymptotic dist...
Existence of translating solutions to the flow by powers of mean curvature on unbounded domains
Dirichlet problem mean curvature flow elliptic equation unbounded domain.
2010/12/7
In this paper, we prove the existence of classical solutions of the Dirichlet problem for a class of quasi-linear elliptic equations on unbounded domains like a cone or a U-type domain in Rn(n ≥ 2). T...
The purpose of this paper is to apply the theory of MV polytopes to the study of com-ponents of Lusztig’s nilpotent varieties. Along the way, we introduce reflection functors for modules over the non-...
On a class of $J$-self-adjoint operators with empty resolvent set
Elliptic curve Elliptic divisibility sequence Primitive divisor
2010/11/30
We establish conditions necessary for the n-th element of any elliptic divisibility sequence generated by points on Ea : y2 = x3+ax to not have a primitive divisor. As a consequence of this, along wit...
Partitions and Partial Matchings Avoiding Neighbor Patterns
set partition partial matching neighbor alignment left nesting right nesting
2010/12/10
We obtain the generating functions for partial matchings avoiding neighbor alignments and for partial matchings avoiding neighbor alignments and left nestings. We show that there is a bijection betwee...
Restriction estimates for the paraboloid over finite fields
Restriction estimates paraboloid over finite fields
2010/12/7
We prove certain endpoint restriction estimates for the paraboloid over finite fields in
three and higher dimensions. Working in the bilinear setting, we are able to pass from esti-
mates for charac...
Explicit incidence bounds over general finite fields
Explicit incidence bounds general finite fields
2010/12/9
Let Fq be a finite field of order q = pk where p is prime. Let P and L be sets of points and lines respectively in Fq×Fq with |P| = |L| = n. We establish the incidence bound I(P,L)
n 3 2 − 1...
Curved infinity-algebras and their characteristic classes
Curved infinity-algebras characteristic classes
2010/12/15
In this paper we study a natural extension of Kontsevich’s characteristic class
construction for A∞- and L∞-algebras to the case of curved algebras. These define homology
classes on a variant of his...
On isometries of the Kobayashi and Carathéodory metrics
Kobayashi metric Carath´ eodory metric complex geodesic isometry
2010/12/6
This article considers isometries of the Kobayashi and Carath´eod-ory met-rics on domains in Cn and the extent to which they behave like holomorphic mappings.First we prove a metric version of P...
Artin-Schreier extensions in NIP and simple fields
Artin-Schreier extensions NIP simple fields
2010/12/14
We show that NIP fields have no Artin-Schreier extension, and that simple fields have only a finite number of them.
The most inaccessible point of a convex domain
Convex domain polygons triangle notable points
2010/12/7
The inaccessibility of a point p in a bounded domain D Rn is the minimum of the lengths of segments through p with boundary at @D. The points of maximum inaccessibility ID are those where the inacce...
Interaction between nonlinear diffusion and geometry of domain
nonlinear diffusion geometry of domain initial-boundary value problem
2010/12/15
Let be a domain in RN, where N ≥ 2 and @ is not necessarily bounded. We consider nonlinear diffusion equations of the form @tu = (u). Let u = u(x, t) be the solution of either the initial-boundary ...
Dual monoidal category C∗ of a monoidal functor F : C → V has been constructed by S. Majid. In this paper, we extend the construction of dual structures for an Ann-functor F : B → A. In particul...
Locally inertial coordinates with totally antisymmetric torsion
Locally inertial coordinates totally antisymmetric torsion
2010/12/16
We show that the necessary and sufficient condition for erecting locally inertial coordinates
at a point p of a U4-space, and therefore assuring the validity of the equivalence principle at that poin...
We describe the defining ideal of the rth secant variety of P2 × Pn embedded by O(1, 2), for arbitrary n and r ≤ 5. We also present the Schur module decomposition of the space of generators of each su...