Author: Aleksandr I︠U︡rʹevich Olʹshanskiĭ
Publisher: American Mathematical Soc.
ISBN: 0821835130
Category : Mathematics
Languages : en
Pages : 150
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Book Description
For every finitely generated recursively presented group $\mathcal G$ we construct a finitely presented group $\mathcal H$ containing $\mathcal G$ such that $\mathcal G$ is (Frattini) embedded into $\mathcal H$ and the group $\mathcal H$ has solvable conjugacy problem if and only if $\mathcal G$ has solvable conjugacy problem.
Author: Mark Sapir
Publisher: American Mathematical Soc.
ISBN: 9781470404055
Category : Mathematics
Languages : en
Pages : 133
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Book Description
Introduction List of relations The first properties of ${\mathcal H}$ The group ${\mathcal H}_2$ The word problem in ${\mathcal H}_1$ Some special diagrams Computations of ${\mathcal S} \cup {\bar{\mathcal S}}$ Spirals Rolls Arrangement of hubs The end of the proof References Subject index.
Author: Jason Fulman
Publisher: American Mathematical Soc.
ISBN: 0821837060
Category : Mathematics
Languages : en
Pages : 104
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Book Description
Generating function techniques are used to study the probability that an element of a classical group defined over a finite field is separable, cyclic, semisimple or regular. The limits of these probabilities as the dimension tends to infinity are calculated in all cases, and exponential convergence to the limit is proved. These results complement and extend earlier results of the authors, G. E. Wall, and Guralnick & Lubeck.
Author: Yaozhong Hu
Publisher: American Mathematical Soc.
ISBN: 0821837044
Category : Mathematics
Languages : en
Pages : 144
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Book Description
A paper that studies two types of integral transformation associated with fractional Brownian motion. They are applied to construct approximation schemes for fractional Brownian motion by polygonal approximation of standard Brownian motion. This approximation is the best in the sense that it minimizes the mean square error.
Author: William Norrie Everitt
Publisher: American Mathematical Soc.
ISBN: 0821835459
Category : Mathematics
Languages : en
Pages : 94
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Book Description
Complex symplectic spaces are non-trivial generalizations of the real symplectic spaces of classical analytical dynamics. This title presents a self-contained investigation of general complex symplectic spaces, and their Lagrangian subspaces, regardless of the finite or infinite dimensionality.
Author: Martin Bendersky
Publisher: American Mathematical Soc.
ISBN: 0821835890
Category : Mathematics
Languages : en
Pages : 106
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Book Description
Computes the 2-primary $v_1$-periodic homotopy groups of the special orthogonal groups $SO(n)$; the method is to calculate the Bendersky-Thompson spectral sequence, a $K_*$-based unstable homotopy spectral sequence, of $\operatorname{Spin}(n)$.
Author: Mihai Ciucu
Publisher: American Mathematical Soc.
ISBN: 082183794X
Category : Mathematics
Languages : en
Pages : 162
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Book Description
Studies the correlation of holes in random lozenge (i.e., unit rhombus) tilings of the triangular lattice. This book analyzes the joint correlation of these triangular holes when their complement is tiled uniformly at random by lozenges.
Author: Noam Greenberg
Publisher: American Mathematical Soc.
ISBN: 0821838857
Category : Mathematics
Languages : en
Pages : 114
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Book Description
When attempting to generalize recursion theory to admissible ordinals, it may seem as if all classical priority constructions can be lifted to any admissible ordinal satisfying a sufficiently strong fragment of the replacement scheme. We show, however, that this is not always the case. In fact, there are some constructions which make an essential use of the notion of finiteness which cannot be replaced by the generalized notion of $\alpha$-finiteness. As examples we discuss bothcodings of models of arithmetic into the recursively enumerable degrees, and non-distributive lattice embeddings into these degrees. We show that if an admissible ordinal $\alpha$ is effectively close to $\omega$ (where this closeness can be measured by size or by cofinality) then such constructions maybe performed in the $\alpha$-r.e. degrees, but otherwise they fail. The results of these constructions can be expressed in the first-order language of partially ordered sets, and so these results also show that there are natu
Author: Jeff Groah
Publisher: American Mathematical Soc.
ISBN: 082183553X
Category : Mathematics
Languages : en
Pages : 98
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Book Description
Demonstrates the consistency of the Einstein equations at the level of shock-waves by proving the existence of shock wave solutions of the spherically symmetric Einstein equations for a perfect fluid, starting from initial density and velocity profiles that are only locally of bounded total variation.
Author: Vladimir Bolotnikov
Publisher: American Mathematical Soc.
ISBN: 0821840479
Category : Mathematics
Languages : en
Pages : 122
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Book Description
A number of interpolation problems are considered in the Schur class of $p\times q$ matrix valued functions $S$ that are analytic and contractive in the open unit disk. The interpolation constraints are specified in terms of nontangential limits and angular derivatives at one or more (of a finite number of) boundary points. Necessary and sufficient conditions for existence of solutions to these problems and a description of all the solutions when these conditions are met is given.The analysis makes extensive use of a class of reproducing kernel Hilbert spaces ${\mathcal{H (S)$ that was introduced by de Branges and Rovnyak. The Stein equation that is associated with the interpolation problems under consideration is analyzed in detail. A lossless inverse scattering problem isalso considered.
