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A crossed-product approach to the Cuntz-Li algebras
C-crossed product number field adele ring
2011/2/25
Cuntz and Li have defined a C-algebra associated to any integral domain, using generators and relations, and proved that it is simple and purely infinite and that it is stably isomorphic to a crossed...
An Algebraic Jost-Schroer Theorem for Massive Theories
Algebraic Jost-Schroer Theorem Massive Theories
2011/3/2
We consider a purely massive local relativistic quantum theory specified by a family of von Neumann algebras indexed by the space-time regions. We assume that, affiliated with the local algebras, ther...
Rough Burgers-like equations with multiplicative noise
Rough Burgers-like equations multiplicative noise
2011/1/18
We construct solutions to Burgers type equations perturbed by a multiplicative spacetime white noise in one space dimension.
Fields of algebraic numbers with bounded local degrees and their properties
Fields of algebraic numbers bounded local degrees their properties
2011/1/18
We provide a characterization of infinite algebraic Galois extensions of the rationals with uniformly bounded local degrees, giving a detailed proof of all the results announced in Checcoli and Zannie...
Learning, Realizability and Games in Classical Arithmetic
Learning Realizability Games Classical Arithmetic
2011/2/25
In this dissertation we provide mathematical evidence that the concept of learning can be used to give a new and intuitive computational semantics of classical proofs in various fragments of Predicati...
关于丢番图方程1+7x=2y5z+2u5v7w
指数丢番图方程 整数解 计算机辅助解法
2012/11/26
设x,y,z,u,v,w为非负整数，用计算机辅助方法给出了指数丢番图方程1+7x=2y5z+2u5v7w的全部非负整数解，(x,y,z,u,v,w)≡(1，2，0，2，0，0），（2，0，2，0，2，0），（2，1，1，3，1，0），（2，3，1，1，1，0），（3，5，0，3，1，1），（t，0，0，0，0，t），其中t为任意非负整数.
A topological space TO(S) of total orderings on any given set S is introduced and it is shown that TO(S) is compact if S is countable. The set NO(N) of all normal orderings of the nth Weyl algebra W ...
Relative Invariants, Ideal Classes and Quasi-Canonical Modules of Modular Rings of Invariants
Relative Invariants Quasi-Canonical Modules
2010/11/24
We describe "quasi canonical modules" for modular invariant rings $R$ of finite group actions on factorial Gorenstein domains. From this we derive a general "quasi Gorenstein criterion" in terms of c...
Non-linear Group Actions with Polynomial Invariant Rings and a Structure Theorem for Modular Galois Extensions
Non-linear Group Polynomial Invariant Rings
2010/11/24
Let $G$ be a finite $p$-group and $k$ a field of characteristic $p>0$. We show that $G$ has a \emph{non-linear} faithful action on a polynomial ring $U$ of dimension $n=\mathrm{log}_p(|G|)$ such that...
We consider the bound quiver algebras whose ordinary quiver is that of a canonical algebra. We determine which of those algebras are hereditary, tilted, quasitilted, weakly shod or laura algebras.
There are two natural choices for a volume form on the algebraic group Gl_n over Q: the first is the integral form (unique up to sign), the other is the product of the primitive classes in algebraic ...
Let A be an affine algebra of dimension d>3 over the field k, where k is the algebraic closure of the finite field Z/pZ, where p\geq d. Let P be a projective A-module of rank d-1. Then P is cancellati...
On the manifold structure of the set of unparameterized embeddings with low regularity
manifold structure unparameterized embeddings
2010/11/24
Given manifolds $M$ and $N$, with $M$ compact, we study the geometrical structure of the space of embeddings of $M$ into $N$, having less regularity than $\mathcal C^\infty$, quotiented by the group o...
A Liouville Theorem for the Axially-symmetric Navier-Stokes Equations
Liouville Theorem the Axially-symmetric Navier-Stokes Equations
2010/11/24
Let $v(x, t)= v^r e_r + v^\theta e_\theta + v^z e_z$ be a solution to the three-dimensional incompressible axially-symmetric Navier-Stokes equations. Denote by $b = v^r e_r + v^z e_z$ the radial-axia...
Weak convergence of the function-indexed integrated periodogram for infinite variance processes
Weak convergence the function-indexed integrated periodogram
2010/11/24
In this paper, we study the weak convergence of the integrated periodogram indexed by classes of functions for linear processes with symmetric $\alpha$-stable innovations. Under suitable summability ...