Quasianalytic Monogenic Solutions of a Cohomological Equation

Quasianalytic Monogenic Solutions of a Cohomological Equation

Author: Stefano Marmi

Publisher: American Mathematical Soc.

Published: 2003

Total Pages: 98

ISBN-13: 0821833251

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We prove that the solutions of a cohomological equation of complex dimension one and in the analytic category have a monogenic dependence on the parameter. This cohomological equation is the standard linearized conjugacy equation for germs of holomorphic maps in a neighborhood of a fixed point.


Shock-Wave Solutions of the Einstein Equations with Perfect Fluid Sources: Existence and Consistency by a Locally Inertial Glimm Scheme

Shock-Wave Solutions of the Einstein Equations with Perfect Fluid Sources: Existence and Consistency by a Locally Inertial Glimm Scheme

Author: Jeff Groah

Publisher: American Mathematical Soc.

Published: 2004

Total Pages: 98

ISBN-13: 082183553X

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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.


Classification and Probabilistic Representation of the Positive Solutions of a Semilinear Elliptic Equation

Classification and Probabilistic Representation of the Positive Solutions of a Semilinear Elliptic Equation

Author: BenoƮt Mselati

Publisher: American Mathematical Soc.

Published: 2004

Total Pages: 146

ISBN-13: 0821835092

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Concerned with the nonnegative solutions of $\Delta u = u^2$ in a bounded and smooth domain in $\mathbb{R}^d$, this title intends to prove that they are uniquely determined by their fine trace on the boundary as defined in [DK98a], answering a major open question of [Dy02].


Well-Posedness for General $2\times 2$ Systems of Conservation Laws

Well-Posedness for General $2\times 2$ Systems of Conservation Laws

Author: Fabio Ancona

Publisher: American Mathematical Soc.

Published: 2004

Total Pages: 186

ISBN-13: 0821834355

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Considers the Cauchy problem for a strictly hyperbolic $2\times 2$ system of conservation laws in one space dimension $u_t+ F(u)]_x=0, u(0, x)=\bar u(x), $ which is neither linearly degenerate nor genuinely non-linea


A Generating Function Approach to the Enumeration of Matrices in Classical Groups over Finite Fields

A Generating Function Approach to the Enumeration of Matrices in Classical Groups over Finite Fields

Author: Jason Fulman

Publisher: American Mathematical Soc.

Published: 2005

Total Pages: 104

ISBN-13: 0821837060

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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.


Entropy Bounds and Isoperimetry

Entropy Bounds and Isoperimetry

Author: Serguei Germanovich Bobkov

Publisher: American Mathematical Soc.

Published: 2005

Total Pages: 88

ISBN-13: 082183858X

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In these memoirs Bobkov and Zegarlinski describe interesting developments in infinite dimensional analysis that moved it away from experimental science. Here they also describe Poincar -type inequalities, entropy and Orlicz spaces, LSq and Hardy-type inequalities on the line, probability measures satisfying LSq inequalities on the real line, expo


The Maximal Subgroups of Positive Dimension in Exceptional Algebraic Groups

The Maximal Subgroups of Positive Dimension in Exceptional Algebraic Groups

Author: Martin W. Liebeck

Publisher: American Mathematical Soc.

Published: 2004

Total Pages: 242

ISBN-13: 0821834827

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Intends to complete the determination of the maximal subgroups of positive dimension in simple algebraic groups of exceptional type over algebraically closed fields. This title follows work of Dynkin, who solved the problem in characteristic zero, and Seitz who did likewise over fields whose characteristic is not too small.


Equivariant, Almost-Arborescent Representations of Open Simply-Connected 3-Manifolds; A Finiteness Result

Equivariant, Almost-Arborescent Representations of Open Simply-Connected 3-Manifolds; A Finiteness Result

Author: Valentin Poenaru

Publisher: American Mathematical Soc.

Published: 2004

Total Pages: 104

ISBN-13: 0821834606

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Shows that at the cost of replacing $V DEGREES3$ by $V_h DEGREES3 = \{V DEGREES3$ with very many holes $\}$, we can always find representations $X DEGREES2 \stackrel {f} {\rightarrow} V DEGREES3$ with $X DEGREES2$ locally finite and almost-arborescent, with $\Psi (f)=\Phi (f)$, and with the ope


Representation Type of Commutative Noetherian Rings III: Global Wildness and Tameness

Representation Type of Commutative Noetherian Rings III: Global Wildness and Tameness

Author: Lee Klingler

Publisher: American Mathematical Soc.

Published: 2005

Total Pages: 187

ISBN-13: 0821837389

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This memoir completes the series of papers beginning with [KL1,KL2], showing that, for a commutative noetherian ring $\Lambda$, either the category of $\Lambda$-modules of finite length has wild representation type or else we can describe the category of finitely generated $\Lambda$-modules, including their direct-sum relations and local-global relations. (There is a possible exception to our results, involving characteristic 2.)