## Contents of Volume 32, Number 1

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- How many zeros of a random polynomial are real?
- Alan Edelman and Eric Kostlan PDF
- Bull. Amer. Math. Soc.
**32**(1995), 1-37

- Müntz spaces and Remez inequalities
- Peter Borwein and Tamás Erdélyi PDF
- Bull. Amer. Math. Soc.
**32**(1995), 38-42

- Wiener’s Tauberian theorem in $L_1(G//K)$ and harmonic functions in the unit disk
- Y. Ben Natan, Y. Benyamini, H. Hedenmalm and Y. Weit PDF
- Bull. Amer. Math. Soc.
**32**(1995), 43-49

- Topological entropy of generalized polygon exchanges
- Eugene Gutkin and Nicolai Haydn PDF
- Bull. Amer. Math. Soc.
**32**(1995), 50-56

- A splitting property for subalgebras of tensor products
- Liming Ge PDF
- Bull. Amer. Math. Soc.
**32**(1995), 57-60

- Not all free arrangements are $K(\pi ,1)$
- Paul H. Edelman and Victor Reiner PDF
- Bull. Amer. Math. Soc.
**32**(1995), 61-65

- Chaos in the Lorenz equations: a computer-assisted proof
- Konstantin Mischaikow and Marian Mrozek PDF
- Bull. Amer. Math. Soc.
**32**(1995), 66-72

- A new series of dense graphs of high girth
- F. Lazebnik, V. A. Ustimenko and A. J. Woldar PDF
- Bull. Amer. Math. Soc.
**32**(1995), 73-79

- Secondary invariants and the singularity of the Ruelle zeta-function in the central critical point
- Andreas Juhl PDF
- Bull. Amer. Math. Soc.
**32**(1995), 80-87

- Erratum: “A report on Wiles’ Cambridge lectures” [Bull. Amer. Math. Soc. (N.S.)
**31**(1994), no. 1, 15–38; MR1256978 (94k:11062)] by K. Rubin and A. Silverberg - K. Rubin and A. Silverberg PDF
- Bull. Amer. Math. Soc.
**32**(1995), 170

##
Book Reviews

Book reviews do not contain an abstract. You may
download each review in this issue using the links
below.

- Commensurabilities among lattices in $\mathrm{PU}(1,n)$, by Pierre Deligne and G. Daniel Mostow.
- Reviewer: P. Beazley Cohen and F. Hirzebruch

- Review information PDF
- Bull. Amer. Math. Soc.
**32**(1995), 88-105

- Banach and locally convex algebras, by A. Ya Helemskii.
- Reviewer: C. E. Rickart

- Review information PDF
- Bull. Amer. Math. Soc.
**32**(1995), 105-110

- Catalan's conjecture, by Paulo Ribenboim.
- Reviewer: Alan Baker

- Review information PDF
- Bull. Amer. Math. Soc.
**32**(1995), 110-112

- Non-classical elastic solids, by M. Ciarletta and D. Iesan.
- Reviewer: Brian Straughan

- Review information PDF
- Bull. Amer. Math. Soc.
**32**(1995), 112-114

- Hilbert's Tenth Problem, by Yuri V. Matiyasevich.
- Reviewer: Craig Smoryński

- Review information PDF
- Bull. Amer. Math. Soc.
**32**(1995), 114-119

- Arithmetic of probability distributions and characterization problems on Abelian groups, by G. M. Fel\cprime dman.
- Reviewer: Herbert Heyer

- Review information PDF
- Bull. Amer. Math. Soc.
**32**(1995), 120-125

- Hopf algebras and their actions on rings, by S. Montgomery.
- Reviewer: Mitsuhiro Takeuchi

- Review information PDF
- Bull. Amer. Math. Soc.
**32**(1995), 125-127

- The computational complexity of differential and integral equations, by \linebreak Arthur G. Werschulz.
- Reviewer: George J. Fix

- Review information PDF
- Bull. Amer. Math. Soc.
**32**(1995), 127-131

- Introduction to functional differential equations, by Jack K. Hale and Sjoerd M. Verduyn Lunel.
- Reviewer: Hans-Otto Walther

- Review information PDF
- Bull. Amer. Math. Soc.
**32**(1995), 132-136

- Realism in mathematics, by Penelope Maddy.
- Reviewer: Morris W. Hirsch

- Review information PDF
- Bull. Amer. Math. Soc.
**32**(1995), 137-148

- Introduction to regularity theory for nonlinear elliptic systems, by Mariano Giaquinta.
- Reviewer: Michael Struwe

- Review information PDF
- Bull. Amer. Math. Soc.
**32**(1995), 148-150

- Composition operators and classical function theory, by Joel H. Shapiro.
- Composition operators on function spaces, by R. K. Singh and J. S. Manhas.
- Reviewer: Peter Rosenthal

- Review information PDF
- Bull. Amer. Math. Soc.
**32**(1995), 150-153

- Harmonic maps and minimal immersions with symmetries, by James Eells and Andrea Ratto.
- Reviewer: Franz Pedit

- Review information PDF
- Bull. Amer. Math. Soc.
**32**(1995), 153-155

- Invariant distances and metrics in complex analysis, by Marek Jarnicki and Peter Pflug.
- Reviewer: László Lempert

- Review information PDF
- Bull. Amer. Math. Soc.
**32**(1995), 155-158

- Floquet theory for partial differential equations, by Peter Kuchment.
- Reviewer: Evans M. Harrell II

- Review information PDF
- Bull. Amer. Math. Soc.
**32**(1995), 158-162

- Duality and perturbation methods in critical point theory, by Nassif Ghoussoub.
- Reviewer: T. Bartsch

- Review information PDF
- Bull. Amer. Math. Soc.
**32**(1995), 162-166

- Nonlinear parabolic and elliptic equations, by C. V. Pao.
- Reviewer: Jerrold Bebernes

- Review information PDF
- Bull. Amer. Math. Soc.
**32**(1995), 166-169