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From Fourier Analysis and Number Theory to Radon Transforms and Geometry
A memorial conference for Leon Ehrenpreis was held at Temple University, November 15-16, 2010. In the spirit of Ehrenpreis’s contribution to mathematics, the papers in this volume, written by prominent mathematicians, represent the wide breadth of subjects that Ehrenpreis traversed in his career, including partial differential equations, combinatorics, number theory, complex analysis and a bit of applied mathematics. With the exception of one survey article, the papers in this volume are all new results in the various fields in which Ehrenpreis worked . There are papers in pure analysis, papers in number theory, papers in what may be called applied mathematics such as population biology and parallel refractors and papers in partial differential equations. The mature mathematician will find new mathematics and the advanced graduate student will find many new ideas to explore.A biographical sketch of Leon Ehrenpreis by his daughter, a professional journalist, enhances the memorial tribute and gives the reader a glimpse into the life and career of a great mathematician.
"We Are Not ALONE" - The Final Call
We Are Not ALONE - The Final Call beckons you to embark on a journey beyond the confines of conventional understanding, venturing into the realms of cosmic curiosity. This book transcends mere exploration, delving into the intricacies of encounters with unidentified aerial phenomena and the enigmatic messages hidden within historical records. It serves as a portal to a world where reality blurs with the unknown, unveiling the mysteries that bind humanity to the celestial realm. From haunting tales of UFO sightings to the profound impact of extraterrestrial encounters, "We Are Not ALONE" - The Final Call navigates through the cosmic tapestry that intertwines our reality. It guides r...
Diaspora Merchants in the Black Sea
Presented here for the first time in English, this richly detailed study--based on British, French, Greek, and Russian archival sources--tells the story of the powerful Greek trading houses that competed successfully with North America to feed the industrializing population of Western Europe. Vassilis Kardasis presents this commercial history by charting the rise of Greek merchant houses to a position of dominance over the export of trade in Russian grain. Though the Greeks would eventually cede their dominance to the competition of cheaper American grain in the second half of the nineteenth century, their influence was felt in the transformation of Southern Russia to productive agricultural land and the formation of large Black Sea port cities which would eventually encourage massive immigration. Diaspora Merchants in the Black Sea fills an important gap in our understanding of the role of the diasporic Greek community in southern Russian history, the history of Greek maritime activity, and ultimately the history of economic relations between Eastern and Western Europe.
Murder in Siena
The BRAND NEW instalment in bestselling author T. A. Williams' Armstrong and Oscar cozy mystery series! A brand-new cozy crime series set in gorgeous Tuscany...It's murder in paradise! A lazy weekend in the country... Dan Armstrong and the new love of his life, Anna, are heading to a hotel deep in the gorgeous Tuscan countryside for a long weekend, looking forward to some time away from the stresses of their day jobs. With the beautiful and historic city of Siena just around the corner, it promises to be relaxing and enjoyable. What could possibly go wrong? A mutilated body... But when a mutilated body is discovered in the hotel grounds Dan is called in to help with the investigation. But wh...
Geodesics, Retracts, and the Norm-Preserving Extension Property in the Symmetrized Bidisc
A set V in a domain U in Cn has the norm-preserving extension property if every bounded holomorphic function on V has a holomorphic extension to U with the same supremum norm. We prove that an algebraic subset of the symmetrized bidisc
Harmonic Maass Forms and Mock Modular Forms: Theory and Applications
Modular forms and Jacobi forms play a central role in many areas of mathematics. Over the last 10–15 years, this theory has been extended to certain non-holomorphic functions, the so-called “harmonic Maass forms”. The first glimpses of this theory appeared in Ramanujan's enigmatic last letter to G. H. Hardy written from his deathbed. Ramanujan discovered functions he called “mock theta functions” which over eighty years later were recognized as pieces of harmonic Maass forms. This book contains the essential features of the theory of harmonic Maass forms and mock modular forms, together with a wide variety of applications to algebraic number theory, combinatorics, elliptic curves, mathematical physics, quantum modular forms, and representation theory.
Continuous-Time Random Walks for the Numerical Solution of Stochastic Differential Equations
This paper introduces time-continuous numerical schemes to simulate stochastic differential equations (SDEs) arising in mathematical finance, population dynamics, chemical kinetics, epidemiology, biophysics, and polymeric fluids. These schemes are obtained by spatially discretizing the Kolmogorov equation associated with the SDE in such a way that the resulting semi-discrete equation generates a Markov jump process that can be realized exactly using a Monte Carlo method. In this construction the jump size of the approximation can be bounded uniformly in space, which often guarantees that the schemes are numerically stable for both finite and long time simulation of SDEs.
Automorphic Forms and Related Topics
This volume contains the proceedings of the Building Bridges: 3rd EU/US Summer School and Workshop on Automorphic Forms and Related Topics, which was held in Sarajevo from July 11–22, 2016. The articles summarize material which was presented during the lectures and speed talks during the workshop. These articles address various aspects of the theory of automorphic forms and its relations with the theory of L-functions, the theory of elliptic curves, and representation theory. In addition to mathematical content, the workshop held a panel discussion on diversity and inclusion, which was chaired by a social scientist who has contributed to this volume as well. This volume is intended for researchers interested in expanding their own areas of focus, thus allowing them to “build bridges” to mathematical questions in other fields.
On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2
The authors study the non-semisimple terms in the geometric side of the Arthur trace formula for the split symplectic similitude group and the split symplectic group of rank over any algebraic number field. In particular, they express the global coefficients of unipotent orbital integrals in terms of Dedekind zeta functions, Hecke -functions, and the Shintani zeta function for the space of binary quadratic forms.
Covering Dimension of C*-Algebras and 2-Coloured Classification
The authors introduce the concept of finitely coloured equivalence for unital -homomorphisms between -algebras, for which unitary equivalence is the -coloured case. They use this notion to classify -homomorphisms from separable, unital, nuclear -algebras into ultrapowers of simple, unital, nuclear, -stable -algebras with compact extremal trace space up to -coloured equivalence by their behaviour on traces; this is based on a -coloured classification theorem for certain order zero maps, also in terms of tracial data. As an application the authors calculate the nuclear dimension of non-AF, simple, separable, unital, nuclear, -stable -algebras with compact extremal trace space: it is 1. In the case that the extremal trace space also has finite topological covering dimension, this confirms the remaining open implication of the Toms-Winter conjecture. Inspired by homotopy-rigidity theorems in geometry and topology, the authors derive a “homotopy equivalence implies isomorphism” result for large classes of -algebras with finite nuclear dimension.
