Portrait of four generations of women: Henny Molling nee Meyerhof, Elizabeth Gottschalk, Julie Meyerhof nee Oppenheimer and Therese Gottschalk nee Molling Portraits; Family

From left to right: Henny Molling, born Meyerhof, Elizabeth Gottschalk, Julie Meyerhof born Oppenheimer, and Therese Gottschalk, born Molling.

Hans Krakauer and Elizabeth Krakauer nee Gottschalk; Boston, New York. Portraits Couples

Photograph taken in front of the house in Boston, in upstate New York outside of Buffalo, where in 1939 they set up their private medical practice. After WWII, they built a new house next door.

Henny Molling nee Meyerhof, Therese Gottschalk nee Molling, Kurt, Elizabeth and Hal Gottschalk on the beach; Norderney, Germany.

Sitting in the Strandkorb (beach chair) at Norderney are Henny Molling and Therese Gottschalk; sitting in the sand are Kurt, Elizabeth and Hal Gottschalk

Elizabeth Krakauer nee Gottschalk in an unknown early Krakauer apartment.

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Studio portrait of Elizabeth Krakauer nee Gottschalk; Hannover, Germany.

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Therese Godshaw (Gottschalk) nee Molling reading with her daughter Elizabeth; Hannover, Germany.

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Wedding portrait of Hans Krakauer and Elizabeth Gottschalk; Hannover, Germany. Portraits Couples

In the apartment on Ruemkorffstrasse that the Gottschalks occupied after being forced to sell their house.

Unidentified man, Elizabeth Krakauer nee Gottschalk and Hans Krakauer on board the ship Koenigstein traveling from Antwerp to New York City on their emigration voyage from Germany.

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Elizabeth Krakauer nee Gottschalk with her mother-in-law Auguste Krakauer nee Mayer in front of a house.

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Elizabeth nee Gottschalk and Hans Krakauer's first house in Boston with descriptions on the picture; Boston, Erie County, New York.

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Portrait of Liesel (Elizabeth) Gottschalk as a baby; Hannover, Germany.

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Portrait of Liesel (Elizabeth) Gottschalk with her grandfather Adolf Molling; Germany.

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Julius Briske Family Collection 1879-1985

Typescript about Julius and Paula (née Hirsch) Briske and their three children, Hans, Elisabeth, and Julius. Also included are Judge Briske’s letters of appointment.

Geometric Characterizations for Patterson-Sullivan Measures of Geometrically Finite Kleinian Groups

The main results of this thesis show that a Patterson-Sullivan measure of a non-elementary geometrically finite Kleinian group can always be characterized using geometric covering and packing constructions. This means that if the standard covering and packing constructions are modified in a suitable way, one can use either one of them to construct a geometric measure which is identical to the Patterson-Sullivan measure. The main results generalize and modify results of D. Sullivan which show that one can sometimes use the standard covering construction to construct a suitable geometric measure and sometimes the standard packing construction. Sullivan has shown also that neither or both of the standard constructions can be used to construct the geometric measure in some situations. The main modifications of the standard constructions are based on certain geometric properties of limit sets of Kleinian groups studied first by P. Tukia. These geometric properties describe how closely the limit set of a given Kleinian group resembles euclidean planes or spheres of varying dimension on small scales. The main idea is to express these geometric properties in a quantitative form which can be incorporated into the gauge functions used in the modified covering and packing constructions. Certain estimation results for general conformal measures of Kleinian groups play a crucial role in the proofs of the main results. These estimation results are generalizations and modifications of similar results considered, among others, by B. Stratmann, D. Sullivan, P. Tukia and S. Velani. The modified constructions are in general defined without reference to Kleinian groups, so they or their variants may prove useful in some other contexts in addition to that of Kleinian groups.