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Dynamical Zeta Functions for Piecewise Monotone Maps of the Interval

detailed study of the zeta functions associated with piecewise monotone maps of the interval $[0,1]$. In particular, Ruelle gives a proof of a;

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Dynamical Zeta Functions for Piecewise Monotone Maps of the Interval

zeta functions associated with piecewise monotone maps of the interval $[0,1]$. In particular, Ruelle gives a proof of a generalized form;

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Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps

zeroes of dynamical determinants, poles of dynamical zeta functions, and the discrete spectra of the transfer operators. In the hyperbolic;

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Chaotic Maps

This book consists of lecture notes for a semester-long introductory graduate course on dynamical systems and chaos taught by the authors;

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Interate Maps on the Interval As Dynamical Systems

Iterations of continuous maps of an interval to itself serve as the simplest examples of models for dynamical systems. These models present;

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Theory of Translation Closedness for Time Scales: With Applications in Translation Functions and Dynamic Equations

on time scales are applied to study the dynamical behavior of solutions for various types of dynamic equations on hybrid domains, including;

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Algebraic And Analytic Aspects Of Zeta Functions And L-functions

This volume contains lectures presented at the French-Japanese Winter School on Zeta and L-functions, held at Muira, Japan, 2008. The main;

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Theory of Translation Closedness for Time Scales

on time scales are applied to study the dynamical behavior of solutions for various types of dynamic equations on hybrid domains, including;

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Contributions To The Theory Of Zeta-functions

This volume provides a systematic survey of almost all the equivalent assertions to the functional equations - zeta symmetry - which zeta;

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Sharkovsky Ordering

applications. It addresses the coexistence of cycles for continuous interval maps and one-dimensional spaces, combinatorial dynamics on the interval;

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Vistas Of Special Functions

This is a unique book for studying special functions through zeta-functions. Many important formulas of special functions scattered;

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Interval-Censored Time-to-Event Data

Interval-Censored Time-to-Event Data: Methods and Applications collects the most recent techniques, models, and computational tools for;

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Grammatical Complexity And One-dimensional Dynamical Systems

, including the circle and interval maps, which are typical in exhibiting complex behavior through simple iterated calculations. The knowledge for;

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Automorphic Forms And Zeta Functions - Proceedings Of The Conference In Memory Of Tsuneo Arakawa

of Tsuneo Arakawa, an eminent researcher in modular forms in several variables and zeta functions. The book begins with a review of his works;

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Zeta Functions over Zeros of Zeta Functions

In the Riemann zeta function ?(s), the non-real zeros or Riemann zeros, denoted ?, play an essential role mainly in number theory, and;

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Zeta and $L$-functions in Number Theory and Combinatorics

combinatorial means, are presented. Research on zeta and $L$-functions for complexes other than graphs emerged only in recent years. This is the;

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Continuous And Discontinuous Piecewise-smooth One-dimensional Maps

The investigation of dynamics of piecewise-smooth maps is both intriguing from the mathematical point of view and important for;

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Bernoulli Numbers and Zeta Functions

indispensable for number theory, however, lies in the fact that special values of the Riemann zeta function can be written by using Bernoulli numbers;

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Open Conformal Systems and Perturbations of Transfer Operators

The focus of this book is on open conformal dynamical systems corresponding to the escape of a point through an open Euclidean ball. The;

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Zeta Functions Of Graphs

in several variables. Analogies abound with number-theoretic functions such as Riemann/Dedekind zeta functions. For example, there is a Riemann;

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Zeta and L-Functions of Varieties & Mo

The amount of mathematics invented for number-theoretic reasons is impressive. It includes much of complex analysis, the re-foundation;

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Interval Reachability Analysis

intervals, or 'boxes'. It explains the importance of bounding trajectories for evaluating the robustness of systems in the face of parametric;

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Bifurcations in Piecewise-Smooth Continuous Systems

gaps in the mathematical theory of such systems. This doctoral thesis presents new results regarding bifurcations of piecewise-smooth;

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A Window into Zeta and Modular Physics

This book provides an introduction to (1) various zeta functions (for example, Riemann, Hurwitz, Barnes, Epstein, Selberg, and Ruelle;

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Window Into Zeta And Modular Physics

This book provides an introduction to (1) various zeta functions (for example, Riemann, Hurwitz, Barnes, Epstein, Selberg, and Ruelle;

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The Hurwitz and the Lerch Zeta-Functions in the Second Variable

The Hurwitz and the Lerch Zeta- Functions in the Second Variable, which is based on author's own research work, mainly deals with the study;

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Triangular Orthogonal Functions for the Analysis of Continuous Time Systems

This book deals with a new set of triangular orthogonal functions, which evolved from the set of well-known block pulse functions (BPF;

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