Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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Contents of Volume 137, Number 6
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Minimal polynomial of an exponential automorphism of $\mathbb {C}^n$: Jakub Zygadło; Proc. Amer. Math. Soc. 137 (2009), 1849-1853; DOI: https://doi.org/10.1090/S0002-9939-09-09786-X; Published electronically: January 9, 2009; PDF

Torsion of the symmetric algebra and implicitization: Laurent Busé, Marc Chardin and Jean-Pierre Jouanolou; Proc. Amer. Math. Soc. 137 (2009), 1855-1865; DOI: https://doi.org/10.1090/S0002-9939-09-09550-1; Published electronically: February 4, 2009; PDF

Reduction theorems for Noether’s problem: Ming-chang Kang and Bernat Plans; Proc. Amer. Math. Soc. 137 (2009), 1867-1874; DOI: https://doi.org/10.1090/S0002-9939-09-09608-7; Published electronically: January 6, 2009; PDF

A Littlewood-Richardson rule for Grassmannian permutations: Kevin Purbhoo and Frank Sottile; Proc. Amer. Math. Soc. 137 (2009), 1875-1882; DOI: https://doi.org/10.1090/S0002-9939-09-09637-3; Published electronically: January 8, 2009; PDF

Regularity and Segre-Veronese embeddings: David A. Cox and Evgeny Materov; Proc. Amer. Math. Soc. 137 (2009), 1883-1890; DOI: https://doi.org/10.1090/S0002-9939-09-09783-4; Published electronically: January 15, 2009; PDF

The group of order preserving automorphisms of the ring of differential operators on a Laurent polynomial algebra in prime characteristic: V. V. Bavula; Proc. Amer. Math. Soc. 137 (2009), 1891-1898; DOI: https://doi.org/10.1090/S0002-9939-09-09825-6; Published electronically: January 26, 2009; PDF

Cycles on Nash algebraic models of smooth manifolds: Wojciech Kucharz; Proc. Amer. Math. Soc. 137 (2009), 1899-1906; DOI: https://doi.org/10.1090/S0002-9939-09-09663-4; Published electronically: January 21, 2009; PDF

The ghost dimension of a ring: Mark Hovey and Keir Lockridge; Proc. Amer. Math. Soc. 137 (2009), 1907-1913; DOI: https://doi.org/10.1090/S0002-9939-09-09672-5; Published electronically: January 15, 2009; PDF

The crystal $\mathcal {B}(\infty )$ and extended Nakajima monomials: Hyeonmi Lee; Proc. Amer. Math. Soc. 137 (2009), 1915-1924; DOI: https://doi.org/10.1090/S0002-9939-09-09834-7; Published electronically: January 26, 2009; PDF

Semisimplicity criteria for irreducible Hopf algebras in positive characteristic: Akira Masuoka; Proc. Amer. Math. Soc. 137 (2009), 1925-1932; DOI: https://doi.org/10.1090/S0002-9939-09-09863-3; Published electronically: February 9, 2009; PDF

New results on the least common multiple of consecutive integers: Bakir Farhi and Daniel Kane; Proc. Amer. Math. Soc. 137 (2009), 1933-1939; DOI: https://doi.org/10.1090/S0002-9939-08-09730-X; Published electronically: December 29, 2008; PDF

The Auslander-Reiten conjecture for Gorenstein rings: Tokuji Araya; Proc. Amer. Math. Soc. 137 (2009), 1941-1944; DOI: https://doi.org/10.1090/S0002-9939-08-09757-8; Published electronically: December 17, 2008; PDF

Asymptotic depth of twisted higher direct image sheaves: Renate Bär and Markus Brodmann; Proc. Amer. Math. Soc. 137 (2009), 1945-1950; DOI: https://doi.org/10.1090/S0002-9939-08-09759-1; Published electronically: December 17, 2008; PDF

Descent on elliptic curves and Hilbert’s tenth problem: Kirsten Eisenträger and Graham Everest; Proc. Amer. Math. Soc. 137 (2009), 1951-1959; DOI: https://doi.org/10.1090/S0002-9939-08-09740-2; Published electronically: December 18, 2008; PDF

Average behavior of Fourier coefficients of cusp forms: Guangshi Lü; Proc. Amer. Math. Soc. 137 (2009), 1961-1969; DOI: https://doi.org/10.1090/S0002-9939-08-09741-4; Published electronically: December 30, 2008; PDF

Boundary points as limit functions of iterated holomorphic function systems: Kourosh Tavakoli; Proc. Amer. Math. Soc. 137 (2009), 1971-1976; DOI: https://doi.org/10.1090/S0002-9939-09-09683-X; Published electronically: January 27, 2009; PDF

On the existence of infinite energy solutions for nonlinear Schrödinger equations: Pablo Braz e Silva, Lucas C. F. Ferreira and Elder J. Villamizar-Roa; Proc. Amer. Math. Soc. 137 (2009), 1977-1987; DOI: https://doi.org/10.1090/S0002-9939-09-09773-1; Published electronically: January 21, 2009; PDF

Borg-type uniqueness theorems for periodic Jacobi operators with matrix-valued coefficients: Evgeny Korotyaev and Anton Kutsenko; Proc. Amer. Math. Soc. 137 (2009), 1989-1996; DOI: https://doi.org/10.1090/S0002-9939-09-09827-X; Published electronically: January 29, 2009; PDF

In orbifolds, small isoperimetric regions are small balls: Frank Morgan; Proc. Amer. Math. Soc. 137 (2009), 1997-2004; DOI: https://doi.org/10.1090/S0002-9939-09-09689-0; Published electronically: January 21, 2009; PDF

Existence and uniqueness of Tronquée solutions of the fourth-order Jimbo-Miwa second Painlevé equation: Nalini Joshi and Tegan Morrison; Proc. Amer. Math. Soc. 137 (2009), 2005-2014; DOI: https://doi.org/10.1090/S0002-9939-09-09819-0; Published electronically: January 16, 2009; PDF

Electrical response matrix of a regular $2n$-gon: Nathaniel D. Blair-Stahn and David B. Wilson; Proc. Amer. Math. Soc. 137 (2009), 2015-2025; DOI: https://doi.org/10.1090/S0002-9939-09-09734-2; Published electronically: January 21, 2009; PDF

Lipschitzness of the Lempert and Green functions: Nikolai Nikolov, Peter Pflug and Pascal J. Thomas; Proc. Amer. Math. Soc. 137 (2009), 2027-2036; DOI: https://doi.org/10.1090/S0002-9939-09-09794-9; Published electronically: January 16, 2009; PDF

Optimal regularity for the Poisson equation: Lihe Wang, Fengping Yao, Shulin Zhou and Huilian Jia; Proc. Amer. Math. Soc. 137 (2009), 2037-2047; DOI: https://doi.org/10.1090/S0002-9939-09-09805-0; Published electronically: January 16, 2009; PDF

Cyclic behavior of the Cesàro operator on $L_2(0,\infty )$: M. González and F. León-Saavedra; Proc. Amer. Math. Soc. 137 (2009), 2049-2055; DOI: https://doi.org/10.1090/S0002-9939-09-09833-5; Published electronically: January 29, 2009; PDF

A note on Cheeger sets: Alessio Figalli, Francesco Maggi and Aldo Pratelli; Proc. Amer. Math. Soc. 137 (2009), 2057-2062; DOI: https://doi.org/10.1090/S0002-9939-09-09795-0; Published electronically: January 26, 2009; PDF

When lower entropy implies stronger Devaney chaos: Grzegorz Harańczyk and Dominik Kwietniak; Proc. Amer. Math. Soc. 137 (2009), 2063-2073; DOI: https://doi.org/10.1090/S0002-9939-08-09756-6; Published electronically: December 15, 2008; PDF

Remarks on the blow-up of solutions to a toy model for the Navier-Stokes equations: Isabelle Gallagher and Marius Paicu; Proc. Amer. Math. Soc. 137 (2009), 2075-2083; DOI: https://doi.org/10.1090/S0002-9939-09-09765-2; Published electronically: January 15, 2009; PDF

On gradient Ricci solitons with symmetry: Peter Petersen and William Wylie; Proc. Amer. Math. Soc. 137 (2009), 2085-2092; DOI: https://doi.org/10.1090/S0002-9939-09-09723-8; Published electronically: January 22, 2009; PDF

Area growth rate of the level surface of the potential function on the 3-dimensional steady gradient Ricci soliton: Hongxin Guo; Proc. Amer. Math. Soc. 137 (2009), 2093-2097; DOI: https://doi.org/10.1090/S0002-9939-09-09792-5; Published electronically: January 29, 2009; PDF

$K$-trivial degrees and the jump-traceability hierarchy: George Barmpalias, Rod Downey and Noam Greenberg; Proc. Amer. Math. Soc. 137 (2009), 2099-2109; DOI: https://doi.org/10.1090/S0002-9939-09-09761-5; Published electronically: January 22, 2009; PDF

Equidistribution of dilations of polynomial curves in nilmanifolds: Michael Björklund and Alexander Fish; Proc. Amer. Math. Soc. 137 (2009), 2111-2123; DOI: https://doi.org/10.1090/S0002-9939-09-09836-0; Published electronically: January 27, 2009; PDF

A study of counts of Bernoulli strings via conditional Poisson processes: Fred W. Huffer, Jayaram Sethuraman and Sunder Sethuraman; Proc. Amer. Math. Soc. 137 (2009), 2125-2134; DOI: https://doi.org/10.1090/S0002-9939-08-09793-1; Published electronically: December 30, 2008; PDF

On a problem of Borsuk and Ulam: Alexander Y. Gordon; Proc. Amer. Math. Soc. 137 (2009), 2135-2137; DOI: https://doi.org/10.1090/S0002-9939-09-09720-2; Published electronically: January 13, 2009; PDF

Generic spectral simplicity of polygons: Luc Hillairet and Chris Judge; Proc. Amer. Math. Soc. 137 (2009), 2139-2145; DOI: https://doi.org/10.1090/S0002-9939-09-09621-X; Published electronically: January 8, 2009; PDF

The Laitinen Conjecture for finite solvable Oliver groups: Krzysztof Pawałowski and Toshio Sumi; Proc. Amer. Math. Soc. 137 (2009), 2147-2156; DOI: https://doi.org/10.1090/S0002-9939-09-09719-6; Published electronically: January 26, 2009; PDF

Spanning trees and Khovanov homology: Abhijit Champanerkar and Ilya Kofman; Proc. Amer. Math. Soc. 137 (2009), 2157-2167; DOI: https://doi.org/10.1090/S0002-9939-09-09729-9; Published electronically: February 4, 2009; PDF