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Greece : a short history of a long story, 7,000 BCE to the present
Presents a comprehensive overview of the history of Greece by exploring the continuity of Greek culture from its Neolithic origins to the modern era.
Book
Conformal Graph Directed Markov Systems on Carnot Groups
We develop a comprehensive theory of conformal graph directed Markov systems in the non-Riemannian setting of Carnot groups equipped
with a sub-Riemannian metric. In particular, we develop the thermodynamic formalism and show that, under natural hypotheses, the limit
set of an Carnot conformal GDMS has Hausdorff dimension given by Bowen’s parameter. We illustrate our results for a variety of examples
of both linear and nonlinear iterated function systems and graph directed Markov systems in such sub-Riemannian spaces. These include
the Heisenberg continued fractions introduced by Lukyanenko and Vandehey as well as Kleinian and Schottky groups associated to the
non-real classical rank one hyperbolic spaces.
eBook
Recipe for survival : what you can do to live a healthier and more environmentally friendly life
\"What can YOU do to improve your health and at the same time improve the health of our home planet? Do you want to be a healthier and more sustainable consumer? In this straightforward, easy-to-understand and entertaining book, dietitian and environmentalist Dr. Dana Ellis Hunnes outlines the actions we can all take. Many people feel overwhelmed by the scope of climate change and believe that only large, sweeping changes will make any difference. Yet the choices we make every day can have effects on climate change, the oceans, the land, and other species. This book outilnes the problems we are facing, and then presents ideas or 'recipes' to empower us, to help us all make a difference. Recipe For Survival provides the guidance that you can use right now to improve your health, your family's health, and the health of the environment simultaneously\"-- Provided by publisher.
Book
Sums of Reciprocals of Fractional Parts and Multiplicative Diophantine Approximation
There are two main interrelated goals of this paper. Firstly we investigate the sums
eBook
Explicit Arithmetic of Jacobians of Generalized Legendre Curves Over Global Function Fields
The authors study the Jacobian $J$ of the smooth projective curve $C$ of genus $r-1$ with affine model $y^r = x^r-1(x + 1)(x + t)$ over the function field $\\mathbb F_p(t)$, when $p$ is prime and $r\\ge 2$ is an integer prime to $p$. When $q$ is a power of $p$ and $d$ is a positive integer, the authors compute the $L$-function of $J$ over $\\mathbb F_q(t^1/d)$ and show that the Birch and Swinnerton-Dyer conjecture holds for $J$ over $\\mathbb F_q(t^1/d)$.
eBook
Dynamics Near the Subcritical Transition of the 3D Couette Flow I: Below Threshold Case
The authors study small disturbances to the periodic, plane Couette flow in the 3D incompressible Navier-Stokes equations at high Reynolds number Re. They prove that for sufficiently regular initial data of size $\\epsilon \\leq c_0\\mathbf {Re}^-1$ for some universal $c_0 > 0$, the solution is global, remains within $O(c_0)$ of the Couette flow in $L^2$, and returns to the Couette flow as $t \\rightarrow \\infty $. For times $t \\gtrsim \\mathbf {Re}^1/3$, the streamwise dependence is damped by a mixing-enhanced dissipation effect and the solution is rapidly attracted to the class of \"2.5 dimensional\" streamwise-independent solutions referred to as streaks.
eBook
Make friends
\"When Miss Poppy assigns the troop a new badge--Making Friends--the girls think it will easy. They're already friends, so what more is there to do?! But when the Acorn Scouts learn they will need to team up with the boys in the Maple Scouts as part of the badge, everything changes\"-- Provided by publisher.
Book
The Bounded and Precise Word Problems for Presentations of Groups
We introduce and study the bounded word problem and the precise word problem for groups given by means of generators and defining
relations. For example, for every finitely presented group, the bounded word problem is in
eBook