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On Kazhdan's Property (T) for the special linear group of holomorphic functions
Kazhdan's Property (T) special linear group holomorphic functions
2012/3/1
We investigate when the group $SL_n(\mathcal{O}(X))$ of holomorphic maps from a Stein space $X$ to $SL_n (\C)$ has Kazhdan's property (T) for $n\ge 3$. This provides a new class of examples of non-loc...
A property of the derivative of an entire function
derivative of an entire function Complex Variables
2011/9/16
Abstract: We prove that the derivative of a non-linear entire function is unbounded on the preimage of an unbounded set.
Markov property of determinantal processes with extended sine, Airy, and Bessel kernels
Determinantal processes Correlation kernels Random matrix theory Infinite particle systems Markov property Entire function and topology
2011/7/7
When the number of particles is finite, the noncolliding Brownian motion (the Dyson model) and the noncolliding squared Bessel process are determinantal diffusion processes for any deterministic initi...
Invariance property of Morse homology on noncompact manifolds
Invariance property of Morse homology noncompact manifolds
2011/2/28
In this article, we focus on the invariance property of Morse homology on noncompact manifolds. We expect to apply outcomes of this article to several types of Floer homology, thus we define Morse hom...
Gauge deformations for Hopf algebras with the dual Chevalley property
Hopf algebra dual Chevalley property cocycle twist dual quasi-Hopf algebra
2011/2/25
Let A be a Hopf algebra over a field K of characteristic zero such that its coradical H is a finite dimensional sub-Hopf algebra. Our main theorem shows that there is a gauge transformation on A suc...
Multi-property-preserving Domain Extension Using Polynomial-Based Modes of Operation
Multi-property-preserving Domain Extension Polynomial-Based Modes
2012/11/30
In this paper, we propose a new double-piped mode of operation for multi-property-preserving domain extension of MACs (message authentication codes), PRFs (pseudorandom functions) and PROs (pseudorand...
