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Rocky Mountain Journal of Mathematics
VOL. 43 · NO. 2 | 2013
 
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Front Matter
Table of Contents, Rocky Mountain Journal of Mathematics, vol. 43, no. 2, (2013)
Rocky Mountain J. Math. 43 (2), (2013) Open Access
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Articles
Homomorphisms on a class of commutative Banach algebras
Fernanda Botelho, James Jamison
Rocky Mountain J. Math. 43 (2), 395-416, (2013) DOI: 10.1216/RMJ-2013-43-2-395 Open Access
KEYWORDS: Banach algebras of Lipschitz functions, algebra homomorphisms, algebra isomorphisms, sequence valued Lipschitz function spaces, 46J10, 47B48, 47L10
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A contraction of the principal series by Berezin-Weyl quantization
Benjamin Cahen
Rocky Mountain J. Math. 43 (2), 417-441, (2013) DOI: 10.1216/RMJ-2013-43-2-417 Open Access
KEYWORDS: contraction, semisimple Lie group, semidirect product, Cartan motion group, unitary representation, principal series, symplectomorphism, coadjoint orbit, Weyl quantization, Berezin quantization, 81S10, 22E46, 22E45, 81R05
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Torsion-free, genus-one, congruence subgroups of $\text{PSL\,}(2,R)$ and multiplicative $\eta$-products
C.J. Cummins
Rocky Mountain J. Math. 43 (2), 443-468, (2013) DOI: 10.1216/RMJ-2013-43-2-443 Open Access
KEYWORDS: 11F03, 11F06, 11F20, 20H05
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A combinatorial trace method: Counting closed walks to assay graph eigenvalues
Keith Dsouza, Mike Krebs
Rocky Mountain J. Math. 43 (2), 469-478, (2013) DOI: 10.1216/RMJ-2013-43-2-469 Open Access
KEYWORDS: binomial coefficient, Cayley graph, Ramanujan graph, Alon-Boppana theorem, ‎adjacency matrix
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A chain complex and quadrilaterals for normal surfaces
Siddhartha Gadgil, Tejas Kalelkar
Rocky Mountain J. Math. 43 (2), 479-487, (2013) DOI: 10.1216/RMJ-2013-43-2-479 Open Access
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Effects of spatial variations and dispersal strategies on principal eigenvalues of dispersal operators and spreading speeds of monostable equations
Georg Hetzer, Wenxian Shen, Aijun Zhang
Rocky Mountain J. Math. 43 (2), 489-513, (2013) DOI: 10.1216/RMJ-2013-43-2-489 Open Access
KEYWORDS: Monostable equation, random dispersal, discrete dispersal, nonlocal dispersal, Principal eigenvalue, spreading speed, Variational principle, 34L15, 35K55, 35K57, 37L60, 45C05‎, 45G10, 45M20, 47G10, 92D25
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Generalized $M^*$-simple groups
Sebahattin Ikikardes, Recep Sahin
Rocky Mountain J. Math. 43 (2), 515-522, (2013) DOI: 10.1216/RMJ-2013-43-2-515 Open Access
KEYWORDS: Bordered Klein surface, automorphism, NEC group, $M^*$-group, generalized $M^*$-group, generalized $M^*$-simple group, 30F50, 20H10
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The elementary abelian caseThe relative burnside kernel
Eric B. Kahn
Rocky Mountain J. Math. 43 (2), 523-537, (2013) DOI: 10.1216/RMJ-2013-43-2-523 Open Access
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Existence and iteration of positive solutions to third order three-point BVP with increasing homeomorphism and positive homomorphism
De-Xiang Ma, Xiao-Zhong Yang
Rocky Mountain J. Math. 43 (2), 539-550, (2013) DOI: 10.1216/RMJ-2013-43-2-539 Open Access
KEYWORDS: iteration, positive solution, third order three-point, boundary value problem, increasing homeomorphism and positive homomorphism
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Convexity and osculation in normed spaces
Mark Mandelkern
Rocky Mountain J. Math. 43 (2), 551-561, (2013) DOI: 10.1216/RMJ-2013-43-2-551 Open Access
KEYWORDS: 46B20
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An interesting topological space using weak topology
S.I. Nada, D.L. Fearnley
Rocky Mountain J. Math. 43 (2), 563-571, (2013) DOI: 10.1216/RMJ-2013-43-2-563 Open Access
KEYWORDS: weak topology, Hausdorff, first countable, Baire category theorem, separation axioms, 54A10, 54H05, 54F45
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O-minimal homotopy and generalized (co)homology
Artur Piękosz
Rocky Mountain J. Math. 43 (2), 573-617, (2013) DOI: 10.1216/RMJ-2013-43-2-573 Open Access
KEYWORDS: o-minimal structure, generalized topology, locally definable space, weakly definable space, CW-complex, homotopy sets, generalized homology, generalized cohomology, 03C64, 55N20, 55Q05
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Existence-uniqueness of the solution for neutral stochastic functional differential equations
Lingying Teng, Li Xiang, Daoyi Xu
Rocky Mountain J. Math. 43 (2), 619-644, (2013) DOI: 10.1216/RMJ-2013-43-2-619 Open Access
KEYWORDS: Neutral stochastic functional differential equations, existence, uniqueness, Continuation theorem
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Variations on twists of elliptic curves
Maciej Ulas
Rocky Mountain J. Math. 43 (2), 645-660, (2013) DOI: 10.1216/RMJ-2013-43-2-645 Open Access
KEYWORDS: Higher twists of elliptic curves, Elliptic curves, ‎rank‎, $j$-invariant, 11G05
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Natural boundaries of a family of Dirichlet series
Alexandru Zaharescu, Mohammad Zaki
Rocky Mountain J. Math. 43 (2), 661-676, (2013) DOI: 10.1216/RMJ-2013-43-2-661 Open Access
KEYWORDS: Zeta and $L$-functions, Dirichlet series, analytic continuation, 11M06, 11M20, 11M26
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BSDES under filtration-consistent nonlinear expectations and the corresponding decomposition theorem for ${\cal E}$-supermartingales in $L^p$
Zhaojun Zong, Feng Hu
Rocky Mountain J. Math. 43 (2), 677-695, (2013) DOI: 10.1216/RMJ-2013-43-2-677 Open Access
KEYWORDS: ${\cal F}_t$-consistent nonlinear expectation ($\cal F$-expectation), Backward stochastic differential equation (BSDE), generalized $g$-expectation, Comparison theorem, 60H10, 60G48
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