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Harmonic Functions and Random Walks on Groups
A modern introduction into the emerging research field of harmonic functions and random walks on groups.
Out of the Limelight
In this translation of a memoir published in Hebrew by the Ministry of Defense Publishing House in 2000, an early Zionist traces the situation culminating in Israel's 1948 War of Independence. Among the experiences Sacharov recounts is his role in the Haganah, the military arm of the pre-state Jewish community. He also discusses Israeli leaders (some pictured), secret arms deals with the US, and what he regards as some historians' misguided views. Annotation : 2004 Book News, Inc., Portland, OR (booknews.com).
Markov Chains and Mixing Times
This book is an introduction to the modern theory of Markov chains, whose goal is to determine the rate of convergence to the stationary distribution, as a function of state space size and geometry. This topic has important connections to combinatorics, statistical physics, and theoretical computer science. Many of the techniques presented originate in these disciplines. The central tools for estimating convergence times, including coupling, strong stationary times, and spectral methods, are developed. The authors discuss many examples, including card shuffling and the Ising model, from statistical mechanics, and present the connection of random walks to electrical networks and apply it to estimate hitting and cover times. The first edition has been used in courses in mathematics and computer science departments of numerous universities. The second edition features three new chapters (on monotone chains, the exclusion process, and stationary times) and also includes smaller additions and corrections throughout. Updated notes at the end of each chapter inform the reader of recent research developments.
Analysis and Geometry on Graphs and Manifolds
A contemporary exploration of the interplay between geometry, spectral theory and stochastics which is explored for graphs and manifolds.
Coarse Geometry and Randomness
These lecture notes study the interplay between randomness and geometry of graphs. The first part of the notes reviews several basic geometric concepts, before moving on to examine the manifestation of the underlying geometry in the behavior of random processes, mostly percolation and random walk. The study of the geometry of infinite vertex transitive graphs, and of Cayley graphs in particular, is fairly well developed. One goal of these notes is to point to some random metric spaces modeled by graphs that turn out to be somewhat exotic, that is, they admit a combination of properties not encountered in the vertex transitive world. These include percolation clusters on vertex transitive graphs, critical clusters, local and scaling limits of graphs, long range percolation, CCCP graphs obtained by contracting percolation clusters on graphs, and stationary random graphs, including the uniform infinite planar triangulation (UIPT) and the stochastic hyperbolic planar quadrangulation (SHIQ).
In and Out of Equilibrium 3: Celebrating Vladas Sidoravicius
This is a volume in memory of Vladas Sidoravicius who passed away in 2019. Vladas has edited two volumes appeared in this series ("In and Out of Equilibrium") and is now honored by friends and colleagues with research papers reflecting Vladas' interests and contributions to probability theory.
The Holy Temple Revisited
To find more information on Rowman & Littlefield titles, please visit us at www.rowmanlittlefield.com.
The Encyclopedia of the Arab-Israeli Conflict
This exhaustive work offers readers at multiple levels key insights into the military, political, social, cultural, and religious origins of the Arab-Israeli conflict. The Encyclopedia of the Arab-Israeli Conflict: A Political, Social, and Military History is the first comprehensive general reference encompassing all aspects of the contentious Arab-Israeli relationship from biblical times to the present, with an emphasis on the era beginning with World War I. The Encyclopedia of the Arab-Israeli Conflict goes beyond simply recapping military engagements. In four volumes, with more than 750 alphabetically organized entries, plus a separate documents volume, it provides a wide-ranging introduc...
Unearthing Jerusalem
On a cold winter morning in January of 1851, a small group of people approached the monumental façade of an ancient rock-cut burial cave located north of the Old City of Jerusalem. The team, consisting of two Europeans and a number of local workers, was led by Louis-Félicien Caignart de Saulcy—descendant of a noble Flemish family who later was to become a distinguished member of the French parliament. As an amateur archaeologist and a devout Catholic, de Saulcy was attracted to the Holy Land and Jerusalem in particular and was obsessed by his desire to uncover some tangible evidence for the city’s glorious past. However, unlike numerous other European pilgrims, researchers and adventur...
