137,177 research outputs found
Odd and even Maass cusp forms for Hecke triangle groups, and the billiard flow
No full textBy a transfer operator approach to Maass cusp forms and the Selberg zeta function for cofinite Hecke triangle groups, Moller and the present author found a factorization of the Selberg zeta function into a product of Fredholm determinants of transfer-operator-like families: Z(s) = det(1 - L-s(+)) det(1 - L-s(-)). In this article we show that the operator families L-s(+/-) arise as families of transfer operators for the triangle groups underlying the Hecke triangle groups, and that for s is an element of C, Res = 1/2, the operator L-s(+) (respectively L-s(-)) has a 1-eigenfunction if and only if there exists an even (respectively odd) Maass cusp form with eigenvalue s(1 - s). For non-arithmetic Hecke triangle groups, this result provides a new formulation of the Phillips-Sarnak conjecture on non-existence of even Maass cusp forms.Volkswagen Foundatio
Practicing the kingdom:essays on hospitality, community, and friendship in honor of Christine D. Pohl
No full text"Throughout her academic career, Christine D. Pohl has helped the church rediscover practices that used to be central to its life, like hospitality, community, and friendship. Perhaps best known for her groundbreaking Making Room: Recovering Hospitality as a Christian Tradition, she has also contributed significantly to discussions on Christian community, feminism and the academy, and the practice of friendship. Yet behind this lies a lifetime of "lived theology" that informs her life and her work, both inside and outside the academy. Containing biblical, systematic, and moral theology, these essays are scriptural and liturgical, multidisciplinary and missional. Several of them could be described as offering essays of "lived theology," writing and reflecting from within years of action and contemplation. They build upon particularly fruitful aspects of Pohl's work, through expansion, clarification, and occasional disagreement. A mix of scholars and practitioners, colleagues, former students, and friends, the contributors represent a wide variety of theoretical and practical expertise. This volume honors Pohl most when its readers choose to take the wisdom within its pages and embody that in life together. "--Publishe
Grave of Maria Petronella Pohl, aged 17 (d.23.3.1843)
No full textGrave of Maria Petronella Pohl, aged 17 (d.23.3.1843). Overgrown with a Gwarri (left) and a European Myrtle (right), the latter brought from Europe and planted by her fiance soon after her death
Interior of Municipal Auditorium, San Antonio, Texas
No full textCurtain painted by Hugo D. Pohl on stage in municipal auditorium in San Antonio, Texas.Recto: [imprinted] Interior of Municipal Auditorium, San Antonio, Texas - 49. Verso: [imprinted] Erected by the city of San Antonio at a cost of $1,500,000.00, with seating capacity of 6,500. The building also has numerous committee rooms and a separate floor, with 32,000 square feet, for exhibit purposes. It is the most beautiful auditorium, architecturally, in the entire South. The Curtain is a great Mural Painting, picturing the founding of San Antonio, painted by the distinguished artist, Hugo D. Pohl. 7182 N. Made in U.S.A by E. C. Kropp Co., Milwaukee
Lienz / Entw. u. gez. v. F. Handke, Terrain unter dessen Leitung v. A. Pohl ; O. Haubold sc.
No full textLIENZ / ENTW. U. GEZ. V. F. HANDKE, TERRAIN UNTER DESSEN LEITUNG V. A. POHL ; O. HAUBOLD SC.
G. D. Reymann's topographische Special-Karte von Central-Europa (-)
Lienz / Entw. u. gez. v. F. Handke, Terrain unter dessen Leitung v. A. Pohl ; O. Haubold sc. (312) ( -
Symbolic dynamics for the geodesic flow on two-dimensional hyperbolic good orbifolds
No full textWe construct cross sections for the geodesic flow on the orbifolds Gamma\H which. are tailor-made for the requirements of transfer operator approaches to Maass cusp farms and Selberg zeta functions. Here, H denotes the hyperbolic plane and Gamma is a nonuniform geometrically finite Fuchsian group (not necessarily a lattice, not necessarily arithmetic) which satisfies an additional condition of geometric nature. The construction of the cross sections is uniform, geometric, explicit and algorithmic
Königgrätz / Entw u. gez. v. F. Handke, Terrain unter dessen Leitung v. Ant. Pohl ; Situation u. Schrift gest. v. H. Herzberg, Berge v. H. Petters i. Hildbghsn.
No full textKÖNIGGRÄTZ / ENTW U. GEZ. V. F. HANDKE, TERRAIN UNTER DESSEN LEITUNG V. ANT. POHL ; SITUATION U. SCHRIFT GEST. V. H. HERZBERG, BERGE V. H. PETTERS I. HILDBGHSN.
G. D. Reymann's topographische Special-Karte von Central-Europa (-)
Königgrätz / Entw u. gez. v. F. Handke, Terrain unter dessen Leitung v. Ant. Pohl ; Situation u. Schrift gest. v. H. Herzberg, Berge v. H. Petters i. Hildbghsn. (188) ( -
Saaz / Entw u. gez. v. F. Handke, Berge unter dessen Leitung v. A. Pohl ; Sit. u. Schrift gest. v. H. Herzberg, Berge v. H. Petters in Hildburghausen
No full textSAAZ / ENTW U. GEZ. V. F. HANDKE, BERGE UNTER DESSEN LEITUNG V. A. POHL ; SIT. U. SCHRIFT GEST. V. H. HERZBERG, BERGE V. H. PETTERS IN HILDBURGHAUSEN
G. D. Reymann's topographische Special-Karte von Central-Europa (-)
Saaz / Entw u. gez. v. F. Handke, Berge unter dessen Leitung v. A. Pohl ; Sit. u. Schrift gest. v. H. Herzberg, Berge v. H. Petters in Hildburghausen (186) ( -
A DYNAMICAL APPROACH TO MAASS CUSP FORMS
No full textFor nonuniform cofinite Fuchsian groups Gamma that satisfy a certain additional geometric condition, we show that the Maass cusp forms for Gamma are isomorphic to 1-eigenfunctions of a finite-term transfer operator. The isomorphism is constructive.ERC Starting Grant ANTHO
A Thermodynamic Formalism Approach to the Selberg Zeta Function for Hecke Triangle Surfaces of Infinite Area
No full textWe provide an explicit construction of a cross section for the geodesic flow on infinite-area Hecke triangle surfaces, which allows us to conduct a transfer operator approach to the Selberg zeta function. Further, we construct closely related cross sections for the billiard flow on the associated triangle surfaces and endow the arising discrete dynamical systems and transfer operator families with two weight functions, which presumably encode Dirichlet respectively Neumann boundary conditions. The Fredholm determinants of these transfer operator families constitute dynamical zeta functions, which provide a factorization of the Selberg zeta function of the Hecke triangle surfaces.Volkswagen Foundatio
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