Mohamed Elhamdadi,Mustafa Hajij,Masahico Saito
Mohamed Elhamdadi
We prove that the coefficients of the colored Jones polynomial of alternating links stabilize under increasing the number of twists in the twist regions of the link diagram. This gives us an infinite family of q-power series derived from th...
THE SEMIGROUP OF METRIC MEASURE SPACES AND ITS INFINITELY DIVISIBLE PROBABILITY MEASURES [0.03%]
度量测度空间的半群及其无穷可分概率测度
Steven N Evans,Ilya Molchanov
Steven N Evans
A metric measure space is a complete, separable metric space equipped with a probability measure that has full support. Two such spaces are equivalent if they are isometric as metric spaces via an isometry that maps the probability measure ...
Fernique-type inequalities and moduli of continuity for anisotropic Gaussian random fields [0.03%]
各向异性的高斯随机域的Fernique型不等式和连续模
Mark M Meerschaert,Wensheng Wang,Yimin Xiao
Mark M Meerschaert
This paper is concerned with sample path properties of anisotropic Gaussian random fields. We establish Fernique-type inequalities and utilize them to study the global and local moduli of continuity for anisotropic Gaussian random fields. A...
M M Meerschaert,H-P Scheffler
M M Meerschaert
Karamata's Tauberian theorem relates the asymptotics of a nondecreasing right-continuous function to that of its Laplace-Stieltjes transform, using regular variation. This paper establishes the analogous Tauberian theorem for matrix-valued ...