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The first $L^2$-Betti number and approximation in arbitrary characteristic
First L2-Betti number approximation in prime characteristic Group Theory
2012/6/19
Let G be a finitely generated group and (G_i) a descending chain of finite index normal subgroups of G. Given a field K, we consider the sequence b_1(G_i;K)/[G:G_i] of normalized first Betti numbers o...
Baxter operators for arbitrary spin II
Baxter operators arbitrary spin II High Energy Physics - Theory Quantum Algebra
2011/10/10
Abstract: This paper presents the second part of our study devoted to the construction of Baxter operators for the homogeneous closed XXX spin chain with the quantum space carrying infinite or finite-...
The Hirota τ-function and well-posedness of the KdV equation with an arbitrary step like initial profile decaying on the right half line
Korteweg-de Vries equation inverse scattering transform Schr ¨odinger operator
2011/3/1
We are concerned with the Cauchy problem for the KdV equation on the whole line with an initial profile V0 which is decaying sufficiently fast at +¥ and arbitrarily enough (i.e., no decay or patte...
Integral Menger curvature for sets of arbitrary dimension in $\mathbb{R}^n$. Part I: Uniform Ahlfors regularity
Integral Menger curvature math
2010/11/15
We propose the notion of integral Menger curvature for $m$-dimensional sets in $n$-dimensional Euclidean space and prove that finiteness of this quantity implies Ahlfors regularity with constant depe...
Multiple M0-brane system in an arbitrary eleven dimensional supergravity background
Multiple M0-brane system arbitrary dimensional supergravity background
2010/12/16
The equations of motion of multiple M0–brane (multiple M-wave or mM0) system in an arbitrary
D = 11 supergravity superspace, which generalize the Matrix model equations for the case of inter-action w...