From the Publisher:
Although it originated as a method to study general dynamical systems, symbolic dynamics is useful in coding for data storage and transmission as well as in linear algebra. Requiring only a undergraduate knowledge of linear algebra, this first general textbook includes over 500 exercises.

An Introduction to Symbolic Dynamics and Coding

Thyroid hormone has many effects on the heart and vascular system.1 Many of the clinical manifestations of hyperthyroidism are due to the ability of thyroid hormone to alter cardiovascular hemodynamics.2 The hemodynamic effects of hypothyroidism are opposite to those of hyperthyroidism, although the clinical manifestations are less obvious. This review will integrate what is known about the mechanisms of thyroid hormone action on the heart2–5 with recent observations from both experimental and clinical studies of hyperthyroidism and hypothyroidism. We will also address the potential role of thyroid hormone treatment in patients with acute or chronic cardiac disease. Effects of . . .

Thyroid hormone and the cardiovascular system.

R J Baxter 1982 London: Academic xii + 486 pp price £43.60 Over the past few years there has been a growing belief that all the twodimensional lattice statistical models will eventually be solved and that it will be Professor Baxter who solves them. Baxter has inherited the mantle of Onsager who started the process by solving exactly the two-dimensional Ising model in 1944.

Exactly Solved Models in Statistical Mechanics

In patients who had preexisting vascular disease or diabetes combined with an additional cardiovascular risk factor, mild renal insufficiency significantly increased the risk for subsequent cardiov...

Renal Insufficiency as a Predictor of Cardiovascular Outcomes and the Impact of Ramipril: The HOPE Randomized Trial

Background:The Institute of Medicine calls for the use of clinical guidelines and practice parameters to promote “best practices” and to improve patient outcomes.Objective:2007 update of the 2002 American College of Critical Care Medicine Clinical Guidelines for Hemodynamic Support of Neonates and C

/pdf/clinical-practice-parameters-for-hemodynamic-support-of-3y1hf0d9q1.pdf

Clinical practice parameters for hemodynamic support of pediatric and neonatal septic shock: 2007 update from the American College of Critical Care Medicine*

Introduction.- Chapter I. Group actions by automorphisms fo compact groups.- Chapter II. Zd-actions on compact abelian groups.- Chapter III. Expansive automorphisms of compact groups.- Chapter IV. Periodic points.- Chapter V. Entropy.- Chapter VI. Positive entropy.- Chapter VII. Zero entropy.- Chapter VIII. Mixing.- Chapter IX. Rigidity.- Bibliography.- Index.

Dynamical Systems of Algebraic Origin

Perinatal outcome of fetal complete atrioventricular block: a multicenter experience.

On Periodic Expansions of Pisot Numbers and Salem Numbers

We compute the joint entropy ofd commuting automorphisms of a compact metrizable group LetR

 d
 = ℤ[u

 1
 ±1
 ,,[d

 1
 ±1
 ] be the ring of Laurent polynomials ind commuting variables, andM be anR

 d
 -module Then the dual groupX

 M
 ofM is compact, and multiplication onM by each of thed variables corresponds to an action α
 M
 of ℤ
 d
 by automorphisms ofX

 M
  Every action of ℤ
 d
 by automorphisms of a compact abelian group arises this way Iff∋R

 d
 , our main formula shows that the topological entropy of
 
$$\alpha _{R_d /\left\langle f \right\rangle } $$

 is given by
 
$$h\left( {\alpha _{R_d /\left\langle f \right\rangle } } \right) = \log M\left( f \right) = \int\limits_0^1 \ldots \int\limits_0^1 {\log \left| {f\left( {e^{2\pi it_1 } , \ldots , e^{2\pi it_d } } \right)} \right|} dt_1 \ldots dt_d $$

 , where M(f) is the Mahler measure off This reduces to the classical result for toral automorphisms via Jensen's formula While the entropy of a single automorphism of a compact group is always the logarithm of an algebraic integer, this no longer seems to hold for joint entropy of commuting automorphisms since values such as 7ζ(3)/4π2 occur If p is a non-principal prime ideal, we show
 
$$h\left( {\alpha _{R_d /p} } \right) = 0$$

  Using an analogue of the Yuzvinskii-Thomas addition formula, we computeh(α
 M
 ) for arbitraryR

 d
 -modulesM, and then the joint entropy for an action of ℤ
 d
 on a (not necessarily abelian) compact group Using a result of Boyd, we characterize those α
 M
 which have completely positive entropy in terms of the prime ideals associated toM, and show this condition implies that α
 M
 is mixing of all orders We also establish an analogue of Berg's theorem, proving that if α
 M
 has finite entropy then Haar measure is the unique measure of maximal entropy if and only if α
 M
 has completely positive entropy Finally, we show that for expansive actions the growth rate of the number of periodic points equals the topological entropy

/pdf/mahler-measure-and-entropy-for-commuting-automorphisms-of-4x9qv1zcx2.pdf

Mahler measure and entropy for commuting automorphisms of compact groups.

https://www.thelancet.com/pdfs/journals/lancet/PIIS0140-6736(00)02576-9.pdf

Klaus Schmidt

Papers

Dynamical Systems of Algebraic Origin

Perinatal outcome of fetal complete atrioventricular block: a multicenter experience.

On Periodic Expansions of Pisot Numbers and Salem Numbers

Mahler measure and entropy for commuting automorphisms of compact groups.

Tri-iodothyronine treatment in children after cardiac surgery: a double-blind, randomised, placebo-controlled study.